The nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the label is accurate, the FDA randomly selects 40 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1088.64 milligrams of sodium per package with a sample standard deviation of 234.12 milligrams. Step 2 of 2 : Using the confidence interval approach, is there evidence that the sodium content is different from what the nutrition label states

Answers

Answer 1

Answer:

We conclude that the sodium content is same as what the nutrition label states.

Step-by-step explanation:

We are given that the nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium.

The FDA randomly selects 40 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1088.64 milligrams of sodium per package with a sample standard deviation of 234.12 milligrams.

Let [tex]\mu[/tex] = average sodium content.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 1100 milligrams      {means that the sodium content is same as what the nutrition label states}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] 1100 milligrams      {means that the sodium content is different from what the nutrition label states}

The test statistics that would be used here One-sample t test statistics as we don't know about population standard deviation;

                    T.S. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample average sodium content = 1088.64 milligrams

            s = sample standard deviation = 234.12 milligrams

            n = sample of packages of Oriental Spice Sauce = 40

So, test statistics  =  [tex]\frac{1088.64-1100}{\frac{234.12}{\sqrt{40}}}[/tex]  ~ [tex]t_3_9[/tex]

                              =  -0.307

The value of z test statistics is -0.307.

Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 0.05 significance level the t table gives critical values of -2.0225 and 2.0225 at 39 degree of freedom for two-tailed test.

Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the sodium content is same as what the nutrition label states.

Answer 2
Final answer:

To determine if the sodium content of the Oriental Spice Sauce is different from what the label states, a confidence interval approach can be used. A t-test is used to compare the sample mean to the hypothesized population mean. If the p-value is less than the level of significance, the null hypothesis is rejected.

Explanation:

To determine if the sodium content of the Oriental Spice Sauce is different from what the nutrition label states, we can use a confidence interval approach.

Step 1: Define the null and alternative hypotheses. Null hypothesis (H0): The sodium content is the same as what the nutrition label states. Alternative hypothesis (Ha): The sodium content is different from what the nutrition label states.

Step 2: Calculate the test statistic and p-value. We can use a t-test to compare the sample mean to the hypothesized population mean (the sodium content stated on the label).

Step 3: Determine the level of significance and compare the p-value to it. If the p-value is less than the level of significance, we reject the null hypothesis and conclude that there is evidence that the sodium content is different from what the nutrition label states.


Related Questions

What is the distance to the Earth's Horizon from point P? Enter enter the decimal in the Box round only your final answer to the nearest tenth.

Answers

Answer:

The distance to the Eath's Horizon from point P is 352.8 mi, approximately.

Step-by-step explanation:

You observe the problem from a graphical perspective with the image attached.

Notice that side [tex]x[/tex] is tangent to the circle, which means is perpendicular to the radius which is equal to 3,959 mi.

We have a right triangle, that means we need to use the Pythagorean's Theorem, to find the distance to the Earth's Horizon from point P.

The hypothenuse is 3959 + 15.6 = 3974.6 mi.

[tex](3974.6)^{2}=x^{2} +(3959)^{2} \\x^{2} =15,797,445.16 - 15,673,681\\x=\sqrt{123,764.16} \approx 351.8[/tex]

Therefore, the distance to the Eath's Horizon from point P is 352.8 mi, approximately.

I don’t know this..I need help

Answers

Answer:

26

Step-by-step explanation:

To find the area of a triangle, you simply need to multiply the base by the height and divide by 2. In this case, 13*4/2=26 square centimeters. Hope this helps!

Suppose you are taking a 15 question True/False quiz which you are not prepared for. You find yourself simply guessing at every answer. What is the probability that you get less than 3 answers correct?

Answers

Answer:

[tex]P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305[/tex]

[tex]P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000457[/tex]

[tex]P(X=2)=(15C1)(0.5)^2 (1-0.5)^{15-2}=0.00320[/tex]

And adding the results we got:

[tex] P(X<3) =P(X \leq 2) = 0.0036875[/tex]

Step-by-step explanation:

We can define the variable of interest s X representing the number of correct questions for the exam. and we can model this random variable with a binomial distribution. The probability of select the correct answer would be [tex]p =\frac{1}{2}[/tex] since is a true/false question.

[tex] X \sim Binom (n =15, p=0.5[/tex]

And we want to find this probability:

[tex]P(X <3)= P(X\leq 2)=P(X=0) +P(X=1) +P(X=2)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex]P(X \leq 2)=P(X=0)+P(X=1)+P(X=2)[/tex]

We can find the individual probabilities and we got:

[tex]P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305[/tex]

[tex]P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000457[/tex]

[tex]P(X=2)=(15C1)(0.5)^2 (1-0.5)^{15-2}=0.00320[/tex]

And adding the results we got:

[tex] P(X<3) =P(X \leq 2) = 0.0036875[/tex]

The following table shows the number of comments on each of Omar's 9 most recent social media posts.
Based on this data, what is a reasonable estimate of the probability that Omar's next post will get no
comments?

Answers

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The following table shows the number of comments on each of Omar's 9 most recent social media posts.

0 2 8

7 0 0

0 6 4

Based on this data, what is a reasonable estimate of the probability that Omar's next post will get no  comments?

Answer:

P(0) = 44.4%

Step-by-step explanation:

We are given the number of comments on each of Omar's 9 most recent social media posts.

We want to find the probability that Omar's next post will have 0 comments.

We know that probability is given by

P(0) = No. of desired outcomes/No. of total outcomes

From the above data we know that total number of outcomes are 9.

Now count the number of times Omar got 0 comments.

These are the desired outcomes.  (4 times)

Therefore, the probability of getting 0 comments is

P(0) = 4/9

P(0) = 0.444

P(0) = 44.4%

Answer:

4/9.

Step-by-step explanation:

I know where you get these questions from ;)

Given: mKP=2mIP, mIVK =120°
Find: m∠KJL.

Answers

Answer:

The measure of angle KJL is 40°.

Step-by-step explanation:

Givens

[tex]m(KP)=2m(IP)[/tex]

[tex]m(IVK)=120\°[/tex]

Notice that

[tex]m(KP)+m(IP)+m(IVK)=360\°[/tex], by definition sum of arcs.

Replacing given values, we have

[tex]2m(IP)+m(IP)+120\°=360\°\\3m(IP)=360\° - 120\°\\m(IP)=\frac{240\°}{3}\\ m(IP)=80\°[/tex]

Which means [tex]m(KP)=2(80\°)=160\°[/tex]

Notice that arc KP is the subtended arc by angle KJL.

We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.

[tex]m\angle KJL = \frac{1}{2} (m(KP)-m(IP))\\m \angle KJL = \frac{1}{2}(160\° - 80\° )=\frac{1}{2}(80\°)=40\°[/tex]

Therefore, the measure of angle KJL is 40°.

Write 3.274 x 10^3 as an ordinary number

Answers

Final answer:

3.274 x 10^3 written as an ordinary number is 3274. This is achieved by moving the decimal point three places to the right.

Explanation:

The student's question is asking for a conversion from scientific notation to an ordinary number. This process is simple once you understand what the scientific notation represents. The value 3.274 x 10^3 implies that the decimal point in 3.274 is moved to the right three places because the power of 10 is positive 3.

Therefore to write 3.274 x 10^3 as an ordinary number, we move the decimal point three places to the right starting from where it currently is after the number 3. So, 3.274 becomes 3274.

In concise, 3.274 x 10^3 written as an ordinary number is 3274.

Learn more about Scientific Notation here:

https://brainly.com/question/16936662

#SPJ12

y= x^3-19x+30
State the number of complex zeros for each function

Answers

Answer:

  0

Step-by-step explanation:

Using Descartes' rule of signs, we observe that the signs of the coefficients, + - +, have two changes. Thus there will be 0 or 2 positive real roots, hence 0 or 2 complex roots.

We can do further work to determine if it is 0 or 2. A graphing calculator provides an easy answer.

This function of x has no complex zeros. They are all real.

_____

For a cubic, it isn't always easy to find the zeros. The rational root theorem tells you any rational zeros will be factors of 30. Possibilities are ...

  ±1, ±2, ±3, ±5, ±6 . . . . . we're pretty sure no roots have magnitude > 6

For x=0, y = 30 . . . . the constant

For x=1, y = 12 . . . . . a smaller value, so we're going in the right direction

For x=2, y = 0 . . . . . one of the real roots

Dividing out this factor*, we get ...

  y = (x -2)(x^2 +2x -15)

Factoring the quadratic gives ...

  y = (x -2)(x -3)(x +5) . . . . . . all real zeros

_____

* For dividing x^3 -19x +30, synthetic division works well. The work for that is shown in the second attachment.

ABC Restaurant has an ice-cream counter where it sells two main products, ice cream and frozen yogurt. The restaurant makes a gallon ice cream and yogurt each day, and store has enough freezer space for 115 gallons total of both products. A gallon of frozen yogurt costs $0.75 and a gallon of ice cream costs $0.93, and the restaurant has budget of $90 for these products. The manager estimates that the store sells at least twice as much ice cream as frozen yogurt. Profit per gallon of ice cream is $4.15, and profit per gallon is $3.60. Formulate a linear programming model for this problem.

Answers

Answer:

sorry i cant

Step-by-step explanation:

my eyes hurt reading this

good luck to whoever solves this

In a classroom, the students are set up in the arrangement shown in the table.

How many students are sitting at the 4 tables?



Answers

Answer:

20

Step-by-step explanation:

multiplying by 5 just divide the 7 with 35 you get 5 so multiply 4 and the 5 and get 20

Answer:

20

Step-by-step explanation:

which word describes the four angels formed by the intersection of two perpendicular lines

Answers

The word that describes the four angles formed by the intersection of two perpendicular lines is "right angles" because they each measure 90 degrees and create an L-shaped corner.

The four angles formed by the intersection of two perpendicular lines are often described as "right angles." A right angle measures exactly 90 degrees, and it is the angle at which two lines meet and form a perfect L shape.

Right angles are a fundamental concept in geometry and have many practical applications in everyday life. They are essential in fields such as architecture, engineering, and mathematics. Right angles are known for their symmetry and balance, making them a crucial element in various geometric shapes and constructions.

In summary, the word that describes the four angles formed by the intersection of two perpendicular lines is "right angles" due to their characteristic 90-degree measurement and significance in geometry.

For more such questions on perpendicular lines

https://brainly.com/question/1202004

#SPJ3

Complete question below :

What word describes the four angles formed by the intersection of two perpendicular lines?

I need help please and thank you

Answers

Answer:

C = 25

Step-by-step explanation:

C = 5/9(F - 32)

Let F = 77

C = 5/9(77- 32)

Parentheses first

C = 5/9(45)

C = 25

parentheses first: c= 5/9(77-32)
c=5/9(45)
c=25

the sum of two numbers is 9 and their difference is 5.
What are the two numbers?

Answers

Final answer:

To solve this problem, we can set up a system of equations using the information given and solve it using the substitution method.

Explanation:

To solve this problem, we can set up a system of equations using the information given. Let's call the two numbers x and y.

From the given information, we can write:

x + y = 9 (equation 1)

x - y = 5 (equation 2)

To solve this system, we can use the method of substitution or elimination. Let's solve it using the substitution method:

From equation 2, we can isolate x by adding y to both sides:

x = y + 5

Now substitute this expression for x in equation 1:

(y + 5) + y = 9

Combine like terms:

2y + 5 = 9

Subtract 5 from both sides:

2y = 4

Divide both sides by 2:

y = 2

Now substitute this value for y in equation 1:

x + 2 = 9

Subtract 2 from both sides:

x = 7

So, the two numbers are 7 and 2.

A certain vehicle loses 3.5% of its value each year. If the vehicle has an initial value of $11,168, construct a model that represents the value of the vehicle after a certain number of years. Use your model to compute the value of the vehicle at the end of 6 years.

Answers

i can't make a model, but the answer is 11167.79

The original price of an airplane ticket is $990. How much will Hazel pay if she buys it during the 20% off sale?

Answers

Answer:

792 dollars

Step-by-step explanation:

20% of 990= 0.2*990=198

Subtracting this from the total price of the original ticket, you get 990-198=$792. Hope this helps!

Simplify (6x−2)2(0.5x)4

. Show your work.

Answers

Answer:

(6x − 2) * 2 * (0.5x) * 4 = (6x - 2) * 4x

Hope this helps!

:)

rebecca has 21 cupcakes to frost. She has frosted 2/7 of them. How many cuppcakes does she have left to frost

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

21 * 2/7= 42/7=6 cupcakes that she's already frosted.

21-6=15 cupcakes left to frost.

Hope this helps!

John took all his money from his savings account. He spent $52 on a radio and 1/2 of what was left on presents for his friends, Of the money remaining, John put 4/13 into checking account and the last remaining $180 was left to charity. How much money did John originally have in his savings account?

Answers

Answer:

John had $572 in his savings account.

Step-by-step explanation:

Let the total amount John took from his savings account be T.

He spent $52. That means he has $(T - 52) left.

He then spent 1/2 of what was left on presents for his friends. That is:

[tex]\frac{1}{2} * (T - 52) = \frac{T - 52}{2}[/tex]

Which means he is left with another half of what was left, that is, [tex]\frac{T - 52}{2}[/tex]

Of the money remaining, John put 4/13 into checking account.

This means that he is left with 9/13 of [tex]\frac{T - 52}{2}[/tex].

We are told that this is equivalent to the last remaining $180 that John left to charity.

=> [tex]\frac{9}{13} * \frac{T - 52}{2} = 108[/tex]

Hence:

[tex]\frac{9(T - 52)}{13 * 2} = 180\\\\9(T - 52) = 180 * 13 * 2\\\\9(T - 52) = 4680\\\\T - 52 = \frac{4680}{9} = 520\\\\[/tex]

=> T = 520 + 52 = $572

Hence, John took $572 from his savings account. Since this is all he had in his savings account, John had $572 in his savings account.

Final answer:

Working backward, we determined that John originally had $572 in his savings account before spending on the radio, presents, putting money into his checking account, and giving to charity.

Explanation:

To solve this mathematics problem, we need to work backward from the information provided. John spent $52 on a radio and then spent half of the remaining amount on presents. After that, he put 4/13 of the remaining money into his checking account and then gave $180 to charity. Let's represent the original amount of money John had as x.

After buying the radio, John had x - $52 left. He then spent half on presents, so he had (x - $52)/2 remaining. After putting 4/13 of what was left into his checking, the equation becomes ((x - $52)/2) * (9/13) since 9/13 is the complement of 4/13, which goes into the checking account. This amount equaled the last remaining $180.

The equation to find the original amount x is:
(((x - $52) / 2) * (9/13)) = $180

Now solve for x:

Multiply both sides by 13/9 to get (x - $52) / 2 = $260.Multiply both sides by 2 to get x - $52 = $520.Finally, add $52 to both sides to get x = $572.

So, the original amount of money John had was $572.

Learn more about Solving a multistep problem here:

https://brainly.com/question/28904617

#SPJ3

What value of y makes the equation true. y+2.9=11

Answers

Answer:

y = 8.1

Step-by-step explanation:

y+2.9=11

Subtract 2.9 from each side

y+2.9-2.9 = 11-2.9

y =8.1

How can you break up the figure into familiar shapes to determine the area?

Answers

The area of a 2D form is the amount of space within its perimeter. The area of the composite figure is 5 1/3 ft².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The given figure can be breakdown into two parts as shown below. Therefore, the area of the composite figure will be,

Area of the composite figure = Area A + Area B

                                                 = (5 × 1/3) + [0.5×2×(5- 4/3)]

                                                  = 5/3 + 11/3

                                                   = 16/3 = 5 1/3 ft²

Hence, the area of the composite figure is 5 1/3 ft².

Learn more about the Area:

https://brainly.com/question/1631786

#SPJ1

The archway to the entrance of an art gallery can be
modeled by y = -}(x - 5)(x + 5), where x and y
are measured in feet. The x-axis represents the floor.
Find the width of the arch at floor level.

Answers

Final answer:

The width of the arch at floor level is 5 feet.

Explanation:

The equation given to model the archway to the entrance of an art gallery is y = -}(x - 5)(x + 5). To find the width of the arch at floor level, we need to find the x-values that correspond to y = 0. Setting y = 0 and solving for x, we get:

0 = -}(x - 5)(x + 5)

0 = (x - 5)(x + 5)

Using the zero product property, we can separate the equation into two parts:

x - 5 = 0 and x + 5 = 0

Solving each equation separately, we get:

x = 5 and x = -5

Therefore, the width of the arch at floor level is 5 feet.

Learn more about Finding the width here:

https://brainly.com/question/37884381

#SPJ2

The width of the arch at floor level is the distance between these points, which is 10 feet (5 - (-5) = 10).

The archway to the entrance of an art gallery is modeled by the equation y = -1(x - 5)(x + 5). To find the width of the arch at floor level (y = 0), we need to determine the x-intercepts of the equation.

1. Set y = 0 in the equation: 0 = -1(x - 5)(x + 5).

2. This simplifies to (x - 5)(x + 5) = 0.

3. Setting each factor to zero, we get x - 5 = 0 or x + 5 = 0.

4. Solve these equations for x: x = 5 or x = -5.

The x-intercepts are -5 and 5.

Therefore, the width of the arch at floor level is the distance between these points, which is 10 feet (5 - (-5) = 10).

A marine surveyor uses a rangefinder and a compass to locate a ship and an island in the vicinity of the coast on which she stands. The rangefinder indicates that the island is 353 ft from her position and the ship is 474 ft from her position. Using the​ compass, she finds that the​ ship's azimuth​ (the direction measured as an angle from​ north) is 320 degrees and that of the island is 58 degrees. What is the distance between the ship and the​ island?

Answers

Answer:

distance between the ship and the​ island is 465.72 ft

Step-by-step explanation:

given data

island =  353 ft

ship = 474 ft

ship's azimuth = 320 degrees

island = 58 degrees

to find out

distance between the ship and the​ island

solution

as per given figure we can see that

AC = 353

AB = 474

we get here angle ABC that is = 360 - 320 = 40 degree

and angle BAC is = 180 - 58 = 122

and now  we apply here law sign

so

[tex]\frac{BC}{sinA} = \frac{AC}{sinB}[/tex]   ...........1

put here value and we get

[tex]\frac{BC}{sin122} = \frac{353}{sin40}[/tex]    

BC = 465.72 ft

so distance between the ship and the​ island is 465.72 ft

A sociologist is studying the social media habits of high school students in a school district. The sociologist wants to estimate the average total number of minutes spent on social media per day in the population. A random sample of 50 high school students was selected, and they were asked, “How many minutes per day, on average, do you spend visiting social media sites?"

Which of the following is the most appropriate inference procedure for the sociologist to use?

A one-sample z-interval for a population proportion

A

A one-sample t-interval for a population mean

B

A matched-pairs t -interval for a mean difference

C

A two-sample z-interval for a difference between proportions

D

A two-sample t-interval for a difference between means

Answers

Answer:

A one-sample t-interval for a population mean

Step-by-step explanation:

As the question is "How many minutes per day, on average, do you spend visiting social media sites?", the answer will be in a numerical form (number of hours, positive integer or real number).

As this is not a proportion, the option "A one-sample t-interval for a population mean" is discarded.

As the study does not defined another variable to compare in pairs, it is not a matched-pairs test. Option "A matched-pairs t -interval for a mean difference" discarded.

There are not two means in the study, so there is no "difference between means" variable. Options "A two-sample z-interval for a difference between proportions" and "A two-sample t-interval for a difference between means".

This should be a  one-sample t-interval for a population mean, as there is only one sample, one population mean and the population standard deviation is not known.

The required correct statement 'A one-sample t-interval for a population mean'.

We have to determine, Which of the following is the most appropriate inference procedure for the sociologist to use?

According to the question,

The sociologist wants to estimate the average total number of minutes spent on social media per day in the population.,

A random sample of 50 high school students was selected,

And they were asked, “How many minutes per day, on average, do you spend visiting social media sites.

The answer will be in a numerical form (number of hours, positive integer or real number).

The time spent on social media keeps increasing. it can deduce as at now that trending social media platforms take much of the time spent on social media.

On average, spend 240 minutes per day on social media sites. As New social media handles keep coming,

As the given condition is not a proportion, the option "A one-sample t-interval for a population mean" is discarded.

The study does not defined another variable n difference" discarded.

There are not two means in the study, so there is no "difference between means" variable.

"A two-sample z-interval for a difference between proportions" and "A two-sample t-interval for a difference between means".

This should be a one-sample t-interval for a population mean, as there is only one sample, one population mean and the population standard deviation is not known.

Hence, The required correct statement 'A one-sample t-interval for a population mean'.

To know more about Sample space click the link given below.

https://brainly.com/question/24128248?referrer

In 2009, a survey of 23 people who had home access to the Internet asked them how much they paid per month for that access, rounded to the nearest dollar. The following data show each person's response, from smallest monthly bill to largest. $14, $18, $18, $18, $19, $19, $23, $23, $23, $25, $25, $25, $25, $25, $26, $26, $26, $27, $33, $37, $42, $58 Make a histogram of the data on the cost of Internet access using the intervals 0-4, 5-9, 10-14, and so on. Describe the distribution of values in words.

Answers

Answer:

See attachment for histogram

Step-by-step explanation:

The histogram shows that the majority of customers have monthly bills between 25 to 29. There is a break between $45-$54 monthly bill as there is no customer with this amount of monthly bill. Then there is one customer between $55-$59 monthly bill.

Final answer:

The histogram of Internet costs shows a concentration between $19-28, with the majority of prices ranging from $23 to $27. It is unimodal and right-skewed with costs spread from $14 to $58, indicating that a smaller number of individuals pay much higher prices for internet access.

Explanation:

To create a histogram of the data on the cost of Internet access using intervals of $5, we will first determine the range of values within each interval:

14-18: $1419-23: $18, $18, $18, $19, $19, $23, $23, $2324-28: $25, $25, $25, $25, $25, $26, $26, $26, $2729-33: $3334-38: $3739-43: $4244-48: None49-53: None54-58: $58

From the histogram, we can see that the majority of responses fall within the $19-28 range, specifically between $23 and $27. This signifies that most people in the survey pay a moderate price for Internet access. The distribution is unimodal, skewing right, and has a spread from $14 to $58, with a slight concentration of high costs on the right indicating few individuals pay significantly more for internet access.

Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves.
If his ship hasn't already been hit, Captain Ishaan has a probability 5/2 If his ship has been hit, Captain Ishaan will always miss.
If his ship hasn't already been hit, dread pirate Michael has a probability 8/3 of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss.

If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?

Answers

Answer: 0

Step-by-step explanation:

The probability of event A happening, then event B, is the probability of event A happening times the probability of event B happening given that event A already happened.

In this case, event A is the Captain hitting the pirate ship and event B is the pirate hitting the Captain's ship.

The Captain fires first, so his ship can't be sunk before he fires his cannons.

So, the probability of the Captain hitting the pirate ship is 2/5  

If the Captain hit the pirate ship, the pirate has no chance of firing back.

So, the probability of the pirate hitting the Captain's ship given the Captain hitting the pirate ship is 0.

Subtract the following military times 2330 - 0540

Answers

The final result is 17 hours and 50 minutes, or in military time format, 1750.

To subtract the military times 2330 and 0540, we can approach it as a regular subtraction problem, but we need to borrow from the hour when the minutes in the subtrahend (0540) are larger than the minutes in the minuend (2330). Since military time is on a 24-hour clock, we treat 2330 as 23 hours and 30 minutes, and 0540 as 5 hours and 40 minutes.

Step 1: Since we cannot subtract 40 minutes from 30 minutes, we need to borrow 1 hour from the 23 hours, converting it to 22 hours and 90 minutes.

Step 2: Now we subtract the minutes: 90 minutes - 40 minutes = 50 minutes.

Step 3: Then we subtract the hours: 22 hours - 5 hours = 17 hours.

So, the final result is 17 hours and 50 minutes, or in military time format, 1750.

What is the circumference of a circle with a radius of 56 feet?
feet
(Use 3.14 for Pi.)

Answers

Answer:

351.68

Step-by-step explanation:

c = 2πr

c = 2(3.14)(56)

c = 6.28(56)

c = 351.68

Answer:

Step-by-step explanation:

Which of the following expressions can be used to find the area of a square with a side length of 1/3m?
(1/3)^2 m^2
(1/3) ^3 m^2
1/3x2 m^2
2x1/3 m^2

Answers

Answer:

(1/3)^2  m^2

Step-by-step explanation:

Because Area of square = A = x*x

here x = 1/3 m.

so A = (1/3 m)*(1/3 m) = (1/3)^2 * m^2

Find the area and perimeter of the given rectangle.

Answers

Answer:

Area: 48 sq. units

Perim: 28 units

Step-by-step explanation:

The distance between (-4, 3) and (-4,-3) is 6. The distance between (-4,-3) and (4,-3) is 8. So, 6 x 8 is 48, and that is the area.

6, 6, 8, and 8 are the lengths, so add those up to find the perimeter and you get 28.

I want to know if mammal usually have more teeth than reptiles

Answers

Final answer:

While the number of teeth varies among species, mammals usually have more complex dentition than reptiles due to their heterodont (four different types) teeth, compared to reptiles' homodont teeth. Most mammals are diphyodonts with two sets of teeth over their lifetime, unlike many reptiles that replace their teeth continuously.

Explanation:

Mammals generally have a more complex dental structure than reptiles due to their heterodont dentition. Mammals have four different types of teeth: incisors, canines, premolars, and molars, each specialized for different dietary functions such as cutting, tearing, and grinding. In contrast, most other vertebrates, including reptiles, possess homodont teeth, meaning their teeth are all the same type and shape, which often don't vary much in structure compared to mammals.

This difference in dentition is related to the various diets that mammals adapt to, allowing them to process different kinds of foods more efficiently. Furthermore, most mammals are diphyodonts, meaning they have two sets of teeth in their lifetime—deciduous ("baby") teeth and permanent teeth—compared to many reptiles that replace their teeth throughout their lives.

In terms of the absolute number of teeth, it varies widely among species in both groups. Some reptiles indeed have a high number of teeth; for instance, a crocodile has many sharp, conical teeth. However, it's not accurate to say that all reptiles have more teeth than all mammals because there is a great deal of variation within each group, with some mammals having more teeth than certain reptiles, and vice versa.

From a point on the ground 47ft from the base of a tree, the angle
of elevation to the top of the tree is 35 degrees. Find the height
of the tree to the nearest foot.

Answers

Answer:

  33 ft

Step-by-step explanation:

In a diagram of the geometry, you see that the angle of elevation is opposite the triangle leg representing the tree height, and is adjacent to the triangle leg representing distance from the tree.

The tangent ratio relates these lengths to the angle:

  Tan = Opposite/Adjacent

  Opposite = Adjacent×Tan

  tree height = (47 ft)tan(35°) ≈ 33 ft

The height of the tree is about 33 feet.

Other Questions
Protest UntRead the following downlon:USA:In The Scarlet Letter, Hester Prynne is shunned by hercommunity because she has an affair and a child out ofwedlock. It shows that her community is hypocritical,because they act all righteous and moral, but they have nocompassion for herERNESTO:I don't think I agree. I think they're just acting according tothe morality of their religion, which says that you have toconform, and she doesn't, so there's no place for her.Those are the rulesNINA:What's kind of funny is that because there is no place forher, and she's cast out, she really starts thinking forherself. She becomes a kind of philosopher.VIVIAN:Right. In a way, the fact that they ve shunned her becauseshe doesn't conform means she has less reason to be partof their community. They're not exactly winning her over.ERNESTO:I agree. I think that religious morality has to involvecompassion, because how else can you get somebody onyour side?LISA:I really admire her, because my family had a similarexperience at our old church. If you disagreed, you weren'twelcome. I'm definitely pro-Hester.Which student is most clearly exhibiting bias in this discussion?A. ErnestoOOB. LisaOOC. NinaD. Vivian The points A (-3, -2), B (-3, 3) and C (5, 3) are 3 points.What type of triangle is ABC? What is the volume of the following rectangular prism? 9/5 2/3 You can write a letter to someone or you can even write a simple instruction manual. It's up to you, but there's one requirement. You must use 10 informal commands in Spanish.Remember, there are regular and irregular verbs in the imperative form, so you need to use both, and don't forget that the negative commands differ from the affirmative commands. Make sure you include at least one negative command in your writing. gamitin sa pangungusap ang manangis at lapastanganin Amys design features a polygon with congruent sides. All of the angles are obtuse. Which of the following polygons could be in Amys design? Square, trapezoid, equilateral triangle, or regular pentagon True or false and thank you Users say that the game is interesting to look at but the music gets annoying Which statement BEST describes how Lincolnuses comparison in his speech to develop atheme of determination? What conditions must scientists provide for viruses to multiply what is the vertex for f(x)=-x^2 Mad Hatter Enterprises purchased new equipment for $358,000, terms f.o.b. shipping point. Other costs connected with the purchase were as follows: State sales tax $ 28,500 Freight costs 4,900 Insurance while in transit 730 Insurance after equipment placed in service 1,130 Installation costs 1,650 Insurance for the first year of operations 2,050 Testing 630 Required: Determine the capitalized cost of the equipment. The population of a city is 300,000 and the annual growth rate is 11%. Write an equation to model the population y after x years.y= Choose either Exxon or Pennys Pickles and describe two reasons why the stock price could rise and two reasons why the stock price could fall. Which feature do prokaryotic and eukaryotic cells share?A) nucleousB) cytoplasmC) Nuclear MembraneD) Membrane-bound organelles Hurry 50 points for the correct answer Solve the equation. Identify any extraneous solutions. x=-3x+405 and 8 are solutions.8 is a solution to the original equation. The value 5 is an extraneous solution.5 and 8 are both extraneous solutions.5 is a solution to the original equation. The value 8 is an extraneous solution. Lucy paid $200 for a new guitar and is paying $20 per hour for lessons. Write an expression to represent the total amount she will pay for h hours of guitar lessons (including the guitar). Where did the Black Death begin? HeLp? La Sra. Mendoza has left a list of household chores for each of her children. Look at the list and then write her orders, (remember the conjugation of verbs ending in ar and er)Los quehaceres para hoyAlberto: cortar el csped, cocinar el almuerzoEnrique: hacer las camas, pasar la aspiradora en la salaMarta: poner la mesa, quitar el polvoAlberto: Alberto el corta el cesped, el concina almuerzo ____________________________________________________Enrique Enrique hace las camas, el pasar___________________________________________________Martha _________________________________________________________________________________________________________ Help!!!! ASAP!!! Please!!If we grow more green plants to we can get more solar energy, will no energy from the sun will be wasted??? Steam Workshop Downloader