If a circle has a diameter of 91 units how many units is the radius

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!

Answer:

A (52,2%, 55,8%)

Step-by-step explanation:

To get the confidence interval, we have to add the margin of error to the point estimator.

The middle of the interval is 54%, and the ME is 1.8%. Don't forget that this means ±1.8%!

54 - 1.8 = 52.2%

54 + 1.8 = 55.8%

So our confidence interval is (52,2%, 55,8%) and the answer is A.

The margin of error of 1.8% in the study indicates that the true percentage of patients with flu-like symptoms is likely between 52.2% and 55.8%.

The margin of error in the study from Florida is 1.8%.

This means that we can be confident that the true percentage of patients experiencing flu-like symptoms is within 1.8% of the observed 54%, above and below this value.

To calculate the confidence interval, we add and subtract the margin of error from the observed percentage. Therefore, the confidence interval would be from 54% - 1.8% to 54% + 1.8%, which is between 52.2% and 55.8%.

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

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.

Answer:

y = 4 cosine (x) + 3

Step-by-step explanation:

A curve crosses the y-axis at (0, 7)

This means that when x = 0, y = 7

We have that:

sin(0) = 0, cos(0) = 1.

Let's see which of the functions respect this condition:

y = 8 cosine (x) + 3

y(0) = 8cos(0) + 3 = 8 + 3 = 11. Incorrect.

y = 4 cosine (x) + 3

y(0) = 4cos(0) + 3 = 4 + 3 = 7. Correct.

y = 4 sine (x) + 3

y(0) = 4sin(0) + 3 = 0 + 3 = 3. Incorrect.

y = 8 sine (x) + 3

y(0) = 8sin(0) + 3 = 0 + 3 = 3. Incorrect.

Decreases to negative 1, and then increases again to 7.

This means that the amplitude is 7-(-1) = 8, which means that the term which multiplies the function is 8/2 = 4. From above, we have already seen that the answer is y = 4 cosine (x) + 3.

Answer:

Pretty sure its' b (y=4Cos(x)+3)

Step-by-step explanation:

Take the max minus the min, equals 8 then times 1/2 equals 4.

Since it starts at the max, that is a characteristic of cosine NOT sine.

P.s I know this is late, but for other people

Answer:

1.

%K = 31.904%

%Cl = 28.930%

%O = 39.166%

2.

Hg = 80.69/ 200.59 = 0.40/0.2 = 2

S = 6.436/ 32.07 = 0.20/0.2 = 1

O = 12.87/ 16.00 = 0.80/0.2 = 4

Hg2SO4 is the empirical formula

Step-by-step explanation:

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

Find the attachments for step by step solutions

Note: The .01 significance level is used

The management at Food Town Inc. is investigating potential correlations between error rates in price checking between regular priced and specially priced items. This relates to business and statistics. A detailed look at the data, and potentially a formal correlation test, can provide insights.

The subject of the question is related to statistics and business with a focus on quality control in a grocery chain. The quality control department at Food Town Inc. conducts a check comparing scanned prices to posted prices. In essence, management is interested in understanding any possible relationship between error rates for regularly priced and specially priced items. A simple way to understand this is through the concept of a correlation.

Correlation is a term in statistics used to indicate the degree to which two or more attributes or measurements on the same group of elements show a tendency to vary together. By looking at the data, especially the error rates (overcharge and undercharge) on regular and special priced items, one could check if there's a negative or positive correlation between these variables.

It seems at first glance that regularly priced items incur fewer errors overall than specially priced items, especially in overcharging. A statistical correlation test, such as the Pearson correlation, can further confirm or refute this observation.

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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!

Answer:

c).b

Step-by-step explanation:

e2020

The result of the product [tex]\sqrt b \times \sqrt b =b[/tex] is b

The product is represented as:-

[tex]\sqrt b \times \sqrt b[/tex]

Multiply the roots

[tex]\sqrt b \times \sqrt b =\sqrt{b^2}[/tex]

Rewrite the above expression as:

[tex]\sqrt b \times \sqrt b =b^{\frac 12 \times 2}[/tex]

Multiply 1/2 and 2

[tex]\sqrt b \times \sqrt b =b^{ 1}[/tex]

Express b^1 as b

[tex]\sqrt b \times \sqrt b =b[/tex]

Hence, the result of product [tex]\sqrt b \times \sqrt b =b[/tex] is b

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Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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.

Answer:

None of the above. The correct answer is 1.47%, 1.10%.

Step-by-step explanation:

The first thing to do is to calculate the Expected return of Stock A and Stock B.

For A;

Probability. Return.

0.1.= 0.1 × 10% = 1.00%

0.2= 0.2 × 13% = 2.60%

0.2= 0.2× 12% = 2.40%.

0.3= 0.3 × 14% = 4.20%

0.2= 0.2 × 15% = 3.00%

Total = 13.20%.

For B;

Probability. Return.

0.1= 0.1 × 8% = 0.80%

0.2= 0.2 × 7% = 1.40%

0.2.= 0.2 × 6% = 1.20%

0.3.= 0.3 × 9% =2.70%

0.2.= 0.2 × 8%= 1.60%

Total = 7.70%.

Hence, the Expected return of Stock A and B = 13.20% and 7.70%. respectively.

Now, let us find the Standard deviation of Stock A and the Standard deviation of Stock B.

For A

For individual value of A, we use the following formula;

(A - Expected return of Stock A)^2 × probability.

For instance,

(10% - 13.20%)^2 × 0.1 =0.000102.

(13% - 13.20%)^2 × 0.2= 0.000001.

(12% - 13.20%)^2 × 0.2 = 0.000029.

(14% - 13.20%)^2 × 0.3 =0.000019.

(15% - 13.20%)^2 × 0.2 = 0.000065.

Which gives us the following values;

0.000102, 0.000001, 0.000029, 0.000019, 0.000065.

The next thing to do is to find the variance (that is the addition of all the values above) and the value for the square root of variance which is the standard deviation.

√( 0.000102 + 0.000001 + 0.000029 + 0.000019 + 0.000065) = 0.000216.

Thus, variance = 0.000216, square root of variance= 0.014697(1.47%).

For B;

We follow as the one above.

(B - Expected return of Stock A)^2 × probability.

We have values as;

0.000001, 0.000010, 0.000058, 0.000051, 0.000002.

√ ( 0.000001 + 0.000010 + 0.000058 +0.000051 + 0.000002).

= 0.011( 1.10%).

To find the standard deviations of stocks A and B, calculate the expected returns and then use the variance formula to determine the standard deviations by taking the square root of the variance for each stock.

The standard deviations of stocks A and B can be calculated using the probabilities and the returns given in the probability distribution. First, we calculate the expected return for each stock by multiplying the return by the probability of each state and summing it up. Then we use the formula for standard deviation, which is the square root of the expected value of the squared deviations from the mean.

For Stock A, we calculate the expected return (μA) and the variance (σA2) before finding the standard deviation (σA). The same steps are taken for Stock B to find its expected return (μB) and standard deviation (σB). Without the detailed calculations, we are unable to provide the exact values for the standard deviations, but by following these methods, you can determine which of the given options is correct for both stocks.

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

The best approach to determine the average improvement in SAT scores for PrepIt! students is to calculate a confidence interval for the difference in two population means using the sample mean differences, option A.

To determine the average improvement in SAT scores for students who take the PrepIt! class, the best approach is to use the difference in sample means to calculate a confidence interval for a difference in two population means (or treatment effect), option A.

This involves taking the mean SAT score before the PrepIt! class and the mean SAT score after the class and computing the confidence interval for this difference. Doing this calculation will provide an interval estimate that shows the range of values within which the true mean difference in SAT scores, due to the PrepIt! class, is likely to fall. For instance, if the mean SAT score improvement is 29 points, we would use this value and the appropriate standard error and confidence level to calculate the confidence interval.

Answer:

largest= 23,049

smallest= 22,950

Answer:

Step-by-step explanation:

Givens

Notice that the chain represents the radius of the circle trajectory, because the dog is running pulling the leash as far as it can go.

So, the radius of the circle is 18.6 feet long.

Now, the length of the circumference is

[tex]L=2 \pi r[/tex]

Replacing the radius, we have

[tex]L=2(3.14)(18.6)\\L=116.81 ft[/tex]

So, one lap is equal to 116.81 feet. But the dog ran 10 times, which means it ran a total distance of

[tex]d=10(116.81ft)=1168.1 \ ft[/tex]

Therefore, the dog ran 1,168.1 feet, approximately.

We have been given that the legs on a right triangle are 15.25 inches and 14.1 inches. We are asked to find the hypotenuse of the right triangle.

We will use Pythagoras theorem to solve our given problem.

[tex]\text{Hypotenuse}^2=\text{Leg}^2+\text{Leg}^2[/tex]

[tex]\text{Hypotenuse}^2=15.25^2+14.1^2[/tex]

[tex]\text{Hypotenuse}^2=232.5625+198.81[/tex]

[tex]\text{Hypotenuse}^2=431.3725[/tex]

Now we will take positive square root on both sides.

[tex]\sqrt{\text{Hypotenuse}^2}=\sqrt{431.3725}[/tex]

[tex]\text{Hypotenuse}=20.7695089012715946[/tex]

Upon rounding to nearest hundredth, we will get:

[tex]\text{Hypotenuse}\approx 20.77[/tex]

Therefore, the length of the hypotenuse is approximately 20.77 inches.

Answer:

4:5

Step-by-step explanation:

reduce the 8 and 10 by dividing both by 2.

Answer:

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.

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.

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.

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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 ;)

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

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.

Answer:

d

Step-by-step explanation:

i did that already and got it right so i hope its not wrong for you

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:

3/4

Step-by-step explanation:

[tex]\dfrac{1}{4}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}[/tex]. Hope this helps!

Answer:3/4

Step-by-step explanation:

Here are my reason why 1/2 is greater than 2/6 or 1/6. And it won’t be 2/4 because then it would be 1/2 + 0 or 2/4 + 0.

So 1/4 + 1/2

= 1/4 + 2/4

= 3/4

Answer:

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

Hope this helps!

:)

Answer:

The answer is 2 i think

Step-by-step explanation:

I think thats where the gap is

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: