Determine the measure of the arc length of the following segment of a circle.
97°
11
a. 10.67
b. 0.47
c. 18.6
d. 37.2

Answer:

C . M2x2 is a vector space

Step-by-step explanation:

According to the definition, the each element in a vector spaces is a vector. So, 2×2 matrix cannot be element in a vector space since it is not even a vector.

The set of all ordered triples of real numbers is called 3‐space, denoted R 3 (“R three”). See Figure . ... Vectors in R 3 are called 3‐vectors (because there are 3 components), and the geometric descriptions of addition and scalar multiplication given for 2‐vectors also carry over to 3‐vectors.

Since every polynomial of degree up to 2 is also a polynomial of degree up to 3, P2 is a subset of P3. And we already know that P2 is a vector space, so it is a subspace of P3.

With addition, the set of polynomials of degree 2 almost form a vector space, but there are some problem. The first one, is that the zero vector, i.e. the zero polynomial is not of degree 2. ... If you really need them to form a vector space, then you should consider the set of all polynomials of degree at most 2.

Answer:

x=15

Step-by-step explanation:

Since the sides are equal, the angles must be equal, so

3x = 5x - 30

Solve and get:

3x - 5x = - 30

2x = 30

x = 15

In the figure, both angles are the same since there is a little line on both sides of the figure. That means that they are the same in length. This also tells us that both angles will have the same measure.

We can write an equation as:

3x = 5x - 30

Solve for x:

3x = 5x - 30

~Subtract 5x to both sides

3x - 5x = 5x - 5x - 30

~Simplify

-2x = -30

~Divide -2 to both sides

-2x/-2 = -30/-2

~Simplify

x = 15

Best of Luck!

Answer:

[tex]\huge\boxed{V=576\ ft^3}[/tex]

Step-by-step explanation:

[tex]\text{The formula of a volume of a prism with dimensions}\ l\times w\times h:\\\\V=lwh.\\\\\text{We have}\\\\l=8ft,\ w=6ft,\ h=12ft.\\\\\text{Substitute:}\\\\V=(8)(6)(12)=576(ft^3)[/tex]

Answer:

-x^2 + 4x + 6

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) =

4x + 1 - (x^2 -5) =

-x^2 +4x + 6

Answer:

$5

Step-by-step explanation:

Read the labels and find the relationship. Go the the bottom line labeled 'weight' and find the three pound mark. Then move up to find where the line is, showing the price for that weight. Once there, move to the left, labeled 'cost' and find the price for that weight.

Answer:

a.) $5

Step-by-step explanation:

On the x-axis (weight), find the 3-pound mark. Move up to find the price. As you can see, there are two possible prices for 3 pounds: $5 and $10.

Look at the dots. If a circle is filled in, it includes that value. If it is empty, it does not include the indicated value. Therefore, the dark blue circle is the correct price.

At this spot, move over to the left to find the price:

$5

:Done

(The account above is also mine. I just saw a better way to explain the answer, but I couldn't edit it anymore. If you are going to thank or give the crown or rate, please give it to the other account. Thanks!!!)

We have been given an image of a trapezoid. We are asked to find the measure of angle M and N.

We know that bases of trapezoid are parallel and the two angles between two parallel lines are supplementary, so we can set an equation as:

[tex]\angle M+\angle N=180[/tex]

[tex](6y-10)+(4y-10)=180[/tex]  

[tex]6y-10+4y-10=180[/tex]

[tex]10y-20=180[/tex]

[tex]10y-20+20=180+20[/tex]

[tex]10y=200[/tex]

[tex]\frac{10y}{10}=\frac{200}{10}[/tex]

[tex]y=20[/tex]

Upon substituting value of y in measure of angle M, we will get:

[tex]m\angle M=6y-10[/tex]

[tex]m\angle M=6(20)-10[/tex]

[tex]m\angle M=120-10[/tex]

[tex]m\angle M=110[/tex]

Therefore, measure of angle M is 110 degrees.

Similarly, we will find the value of angle N as:

[tex]m\angle N=4y-10[/tex]

[tex]m\angle N=4(20)-10[/tex]

[tex]m\angle N=80-10[/tex]

[tex]m\angle N=70[/tex]

Therefore, measure of angle N is 70 degrees.

Answer:

-7/2

Step-by-step explanation:

This question is a word problem.

Step 1: interpretation the question

Let's assume the number is x;

X×7 – 1 = X×5 – 8

7x - 1 = 5x - 8

Step 2. Solve the equation for the unknown.

7x - 1 = 5x - 8

Take like terms together

7x - 5x = - 8 +1

2x = -7

Divide both sides by 2

x = -7/2

The answer is -7/2

Answer:

m/6-8 =m/58

Step-by-step explanation:

Using the midpoint formula, the coordinates of point B are determined by setting up equations with the known coordinates of point A and midpoint M. Solving these equations yields the x-coordinate of B as -10 and the y-coordinate as 6, making the coordinates of point B (-10, 6).

The question is asking to determine the coordinates of point B if M(-6,8) is the midpoint of AB and A has coordinates (-2,10). To find the coordinates of B, we use the midpoint formula which states that the midpoint M(x,y) is given by M = ((x1 + x2)/2, (y1 + y2)/2) where (x1, y1) and (x2, y2) are the coordinates of points A and B respectively. Since we know the coordinates of A and M, we can set up equations to solve for the coordinates of B.

To find the x-coordinate of B, we set up the equation -6 = (-2 + xB)/2 which yields xB = -10. For the y-coordinate, we use the equation 8 = (10 + yB)/2 which gives us yB = 6. Therefore, the coordinates of point B are (-10, 6).

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Answer:

It'll be -0.25

Step-by-step explanation:

Notice how it is to the left of zero, anything to the left of zero is negative. With that in mind, we can eliminate A. The half mark between 0 and -1 represents 0.50, and since it goes by quarters, the E is at the first quarter, which is 0.25. Hopefully this helps!

9514 1404 393

Answer:

  a = 25/2 = 12.5

Step-by-step explanation:

Multiply both sides of the equation by the inverse of the coefficient of 'a'.

  (5/2)(5) = (5/2)(2/5)a

  25/2 = a = 12.5

Answer: Hint Not 4 3/5

Step-by-step explanation:

Answer:

Check Explanation.

Step-by-step explanation:

Note that the sample size given in the question is fifty(50).

The round-off error is then uniformly distributed on the interval (-.5,.5). Which makes us to have a uniform distribution parameter a = -0.5 and b = 0.5.

Step one: look for the mean.

The mean, μ = (a + b)/2 = (- 0.5 + 0.5)/2 = 0. Which means that our mean is zero(0).

Step two: Calculate the standard deviation from the formula below;

Standard deviation,σ = (b - a)/√12.

Standard deviation,σ = (0.5 +0.5)/√12.

Standard deviation,σ = 0.2887.

Step three: Calculate the standard error.

standard error = σ/√n.

standard error = 0.0408

Therefore, the probability,P ;

Probability, P = 1 - P (- 0.1 < X < 0.1 ) = 1 - P (( -0.1 - 0) / 0.041) < Z < (0.1-0) / 0.041) = 1 - P ( -2.45 < Z < 2.45) = 1 -(0.9929 - 0.0071) = 0.0142.

Answer:

28 you have to do it from left to right

Answer:

13-5=8

3x8=24

24-2=22

22+6=28

28 is your answer

Step-by-step explanation:

Answer:

Option D is correct.

Rejecting the null hypothesis means that;

There is sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.

Step-by-step explanation:

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

In hypothesis testing, especially one comparing two sets of data, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

For this question, Carter Motor Company claims that its new sedan, the Libra, will average better than 32 miles per gallon in the city. And since this is talking distance covered per gallon of fuel, better means that the new sedan will average more than 32 miles per gallon.

So, the null hypothesis negating this claim would be that there isn't significant evidence to conclude that the average of the new sedan will be better or greater than 32 miles per gallon.

That is, the new average will be less than or equal to 32 miles per hour.

And the alternative hypothesis will confirm the claim that there is significant evidence to conclude that the average of the new sedan will be better or greater than 32 miles per gallon.

Mathematically,

The null hypothesis is represented as

H₀: μ ≤ 32 miles per gallon

The alternative hypothesis is given as

Hₐ: μ > 32 miles per gallon

So, after the hypothesis test has been conducted, rejecting the null hypothesis means accepting the alternative hypothesis and its statement that there is significant evidence to conclude that the average of the new sedan will be better or greater than 32 miles per gallon.

Hence, option D is correct.

Hope this Helps!!!

The conclusion of the hypothesis test indicates that there is sufficient evidence to support the claim that the mean fuel efficiency of the new Libra sedan is greater than 32 miles per gallon.

From the noun hypothesis testing conducted, the conclusion drawn is to reject the null hypothesis. In non-technical terms, rejecting the null hypothesis means that based on the data collected and analyzed, there is sufficient statistical evidence to support the claim that contrary to the null hypothesis, the average (or 'mean') miles per gallon of the new Libra sedan is indeed greater than 32 miles per gallon. These results should confirm Carter Motor Company's assertions about their vehicle's fuel efficiency.

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Answer:

1,2

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

6x+9y=18

9y=-6x+18

y=-6x/9+18/9

y=-2/3x+2

Since y=mx+b, where m = slope and b = y-intercept...

the slope is -2/3

Answer:

We conclude that the null hypothesis is rejected which means the proportion of men with elevated cholesterol levels is greater than the proportion of women.

Step-by-step explanation:

We are given that an article in the Archives of Internal Medicine reported that in a sample of 244 men, 73 had elevated total cholesterol levels.

In a sample of 232 women, 44 had elevated cholesterol levels.

Let [tex]p_M[/tex] = population proportion of men with elevated cholesterol levels.

[tex]p_W[/tex] = population proportion of women with elevated cholesterol levels.

(a) Null Hypothesis, [tex]H_0[/tex] : [tex]p_M \leq p_W[/tex]     {means that the proportion of men with elevated cholesterol levels is smaller than or equal to the proportion of women}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_M > p_W[/tex]     {means that the proportion of men with elevated cholesterol levels is greater than the proportion of women}

The test statistics that would be used here Two-sample z test for proportions;

                          T.S. =  [tex]\frac{(\hat p_M-\hat p_W)-(p_M-p_W)}{\sqrt{\frac{\hat p_M(1-\hat p_M)}{n_M} +\frac{\hat p_W(1-\hat p_W)}{n_W}} }[/tex]  ~ N(0,1)

where, [tex]\hat p_M[/tex] = sample proportion of men with elevated cholesterol levels = [tex]\frac{73}{244}[/tex] = 0.299

[tex]\hat p_W[/tex] = sample proportion of women with elevated cholesterol levels = [tex]\frac{44}{232}[/tex] = 0.189

[tex]n_M[/tex] = sample of men = 244

[tex]n_W[/tex] = sample of women = 232

(b) The difference in sample proportions between groups is given by = [tex]\hat p_M-\hat p_W[/tex] = 0.299 - 0.189 = 0.11

(c) So, the test statistics  =  [tex]\frac{(0.299-0.189)-(0)}{\sqrt{\frac{0.299(1-0.299)}{244} +\frac{0.189(1-0.189)}{232}} }[/tex]

                                     =  2.82

The value of z test statistics is 2.82.

Now, the P-value of the test statistics is given by;

               P-value = P(Z > 2.82) = 1 - P(Z < 2.82)

                             = 1 - 0.9976 = 0.0024

(d) If there is difference between the proportions of high cholesterol, then there is a 95% chance that there is a 11% percentage point difference between the high cholesterol rates.

(e) Since, in the question we are not given with the level of significance so we assume it to be 5%.

As the P-value of the test statistics is less than the level of significance as 0.0024 < 0.05, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the proportion of men with elevated cholesterol levels is greater than the proportion of women.

Final answer:

To test if the proportion of men with high cholesterol is greater than the proportion of women, we need to define hypotheses, calculate the difference in sample proportions, determine the P-value, interpret the P-value, and make a decision about the null hypothesis.

Explanation:

(a) The hypotheses for the test are:

H0: M ≤ W

Ha: M > W

(b) To calculate the difference in sample proportions between groups, subtract the proportion of women with elevated cholesterol levels from the proportion of men with elevated cholesterol levels:

Difference = M - W = 73/244 - 44/232

(c) To calculate the P-value using the 2PropZTest, you need the sample proportions, sample sizes, and the alternative hypothesis. The P-value would provide the probability of observing a difference as extreme as the one calculated, assuming the null hypothesis is true.

(d) The P-value represents the probability of observing a difference as extreme as the one calculated, assuming the null hypothesis is true. Therefore, if there is a low P-value, it indicates that there is strong evidence to reject the null hypothesis and conclude that the proportions of high cholesterol are different between men and women, with a certain percentage point difference between the rates.

(e) The decision about the null hypothesis would be based on the P-value. If the P-value is less than the level of significance (alpha), which is not provided in the question, we would reject the null hypothesis. However, the given solution does not provide the P-value or the level of significance, so a specific decision cannot be determined.

Answer:

choose choice C.

Step-by-step explanation:

many vertical lines can cross this graph more than once, which defies the definition of a function.

Answer:

c) A vertical line placed on the graph could intersect more than one point

Step-by-step explanation:

if you did the vertical line test, you would see that there would be more than one point per value.

hope i helped:) !!!

brainliest ??

A = 2w+5

example: on week three, she would have the recipes from the other weeks that you have to account for as well as the extra five

2(3)+5=11 so A would equal 11 by week three.

Use multiplication because it is essentially repeated addition.

2(from week 1) + 2(from week 2) + 2(from week 3) + 5(prior to school) =11

Answer: The cheese weighs 3 kilograms.

Step-by-step explanation:

I will answer this in English, feel free to translate it if you need it.

This can be translated to:

In a weighing pan of a scale, we place a cheese, in the other we put three-quarters of another cheese equal, and to balance it we add a weight of 3/4 kg. What is the weight of the cheese?

We know that the weight on both pans must be the same.

Then if the weight of the cheese is C, we have the equation:

C = (3/4)*C + 3/4kg

this says:

The weight of the complete cheese is equal to the weight of 3/4 of the cheese plus 3/4kg.

Now we can solve it for C.

C  - (3/4)*C = 3/4kg

C*(1 - 3/4) = C*(1/4) = 3/4kg

C = 4*(3/4)kg = 3kg

The cheese weighs 3 kilograms.

Answer:

3 square roots of 19

Step-by-step explanation:

a squared + b squared = c squared

5 squared + b squared = 14 squared

25 + b squared = 196 squared

b squared = 171

b = square root of 171

b = 3 square roots of 19

hi

If your wall is straight , then. you have  a rectangular traingle.

As Pythagoras tells us :   wall² = ladder²- ground distance²

                                        wall² = 14²- 5²

                                         wall²   = 196 -25

                                        wall² = √171≈13,07

Answer:

The roots of the polynomial equation in this case would be the intersection of the 2 polynomial functions.  which are at  x = 4 and x = -3

Step-by-step explanation:

The roots are found by finding the x-values of the intersections of these two cubic polynomial functions.

We could try solving algebraically, but you have the graph.

Answer:

Its the fourth graph

Step-by-step explanation:

i got it right

Answer: the 4th one

Step-by-step explanation:

i just did this

Note: The sample size cannot be 147 as you wrote in the question because the number of those that respondend yes (788) cannot be more than the sample size.

Complete Question:

The atomic bomb in 1945, the Gallup organization asked 1487 randomly sampled Americans, Do you think we can develop a way to protect ourselves from the atomic bombs in case other countries tried to use them against us? with 788 responding yes. Did a majority of Americans feel the United states could develop a way to protect itself from atomic bombs in 1945? Use the a= 0.05 level of significance.

Answer:

At 0.05 significance level, we cannot conclude that majority of Americans feel the United states could develop a way to protect itself from atomic bombs in 1945

Step-by-step explanation:

From the attached file:

Zcritical = 1.96

Zcalculated = 1.55

Since Zcritical is greater than Zcalculated, the null hypothesis will be accepted.

This means that we cannot conclude that majority of Americans feel the United states could develop a way to protect itself from atomic bombs in 1945

Answer:

2x^2 + x -1

Step-by-step explanation:

-7x + 5 - 2x^2 + 8x -6

2x^2 + x -1

Answer:

B

Step-by-step explanation:

you multiply the numbers and remember the little square is 90

The area of new parallelogram is 78in2

The original parallelogram has a base of 18 inches and a height of 10 inches. Therefore, its area is 18 x10 = 180 square inches.If the height is decreased by 1 inch and the base is decreased by 2 inches, the new base will be 18 - 2 = 16 inches and the new height will be 10 - 1 = 9 inches. So, the area of the new parallelogram will be 16 x 9 = 144 square inches.Therefore, the answer is c. 78in2.

Here's a breakdown of the reasoning for each option:a. 108in2: This is incorrect because it's smaller than the area of the original parallelogram, even though both the base and height are decreased.b. 104in2: 

This is also incorrect because it's still larger than the area of the new parallelogram.c. 78in2: 

This is the correct answer, as calculated above.d. 84 in2: This is incorrect because it's closer to the area of the original parallelogram than the new one.

Answer: C AND E

Step-by-step explanation:

Option D is correct, Angle c and Angle e are vertical angles.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that Line x and line z are straight lines.

Lines x, z, and y intersect to form 5 angles. From top left, clockwise, the angles are: a: right angle, b, c, d, e.

Vertical angles are opposite to each other and not adjacent.

In this case, angle c and angle e are opposite to each other, as they are on opposite sides of the intersection between lines y and z, and they are not adjacent to each other. Therefore, they must be vertical angles.

Hence, Option D is correct, Angle c and Angle e are vertical angles.

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Answer:

D.36

Step-by-step explanation:

The experimental probability of an outcome is the the number of experients in which this outcome happened divided by the total number of experiments.

In this problem:

The number 4 appeared 18 times in 50 experiments.

So the experimental probability of getting a four is 18/50 = 0.36.

So the correct answer is:

D.36

Answer:

Null hypothesis:[tex]\mu \geq 42.3[/tex]  

Alternative hypothesis:[tex]\mu < 42.3[/tex]  

[tex]t=\frac{40.6-42.3}{\frac{2.7}{\sqrt{24}}}=-3.085[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=24-1=23[/tex]  

Then the p value can be calculated with this probability:

[tex]p_v =P(t_{(23)}<-3.085)=0.0026[/tex]  

If we compare the p value and the significance lvel of 0.1 we see that the p value is lower than the signficance level we can reject the null hypothesis and we can conclude that the the assembly time using the new method is faster

Step-by-step explanation:

Information given

[tex]\bar X=40.6[/tex] represent the sample mean for the new method

[tex]s=2.7[/tex] represent the sample standard deviation

[tex]n=24[/tex] sample size  

[tex]\mu_o =42.3[/tex] represent the value that we want to test

[tex]\alpha=0.1[/tex] represent the significance level

t would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to verify if  the assembly time using the new method is faster, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \geq 42.3[/tex]  

Alternative hypothesis:[tex]\mu < 42.3[/tex]  

The statistic for this case is given:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

The statistic would be given by:

[tex]t=\frac{40.6-42.3}{\frac{2.7}{\sqrt{24}}}=-3.085[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=24-1=23[/tex]  

Then the p value can be calculated with this probability:

[tex]p_v =P(t_{(23)}<-3.085)=0.0026[/tex]  

If we compare the p value and the significance lvel of 0.1 we see that the p value is lower than the signficance level we can reject the null hypothesis and we can conclude that the the assembly time using the new method is faster

Answer:

Square root of 1040

Decimal form - 32.249

Step-by-step explanation:

The distance between the endpoints (3, 24) and (7, 56) will be 32.25 units.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The two endpoints are given below.

(3, 24) and (7, 56)

Then the distance between the endpoints (3, 24) and (7, 56) will be

D² = (7 - 3)² + (56 - 24)²

D² = 4² + 32²

D² = 16 + 1024

D² = 1040

D = 32.25 units

The distance between the endpoints (3, 24) and (7, 56) will be 32.25 units.

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Answer:

range: 20

median: 38

Lower quartile and upper quartile: 29 and 42.5

Interquartile range: 13.5

Which value was affected the most: range

The value of the range was mostly affected after the outlier crossed out.

This is determined by calculating all the values before and after the outlier 72.

The range of data is calculated by taking the difference between the highest value and the lowest value of the data set.

Range=maximum value - minimum value

Given a table of data points as 35, 45, 26, 32, 46, 38, 39, 40, 26, 72.

Finding the values given in the list before crossing out the outlier 72:

Range: 72-26=46

Median: 38.5

Arranging in the ascending order

26, 26, 32, 35, 38, 39, 40, 45, 46, 72

Then, median=[tex]\frac{38+39}{2}[/tex]=38.5

Lower quartile: Q1=32

Upper quartile: Q3=45

IQR: Q3-Q1=45-32=13

Finding the values given in the list after crossing out the outlier 72:

The data set now has 9 elements with data points as 35, 45, 26, 32, 46, 38, 39, 40, 26

Range: 46-26=20

Median: 38

Arranging in the ascending order

26, 26, 32, 35, 38, 39, 40, 45, 46

Since odd number of data points, the median is at the middle point which is 38

Lower quartile: Q1=29

[tex]Q_1=\frac{1}{4} (n+1)[/tex] th term (n=9)

Q1=10/4=2.5

So, the median is between 26 and 32 which is 29

Upper quartile: Q3=42.5

[tex]Q_3=\frac{3}{4} (n+1)[/tex] th term (n=9)

Q3=7.5

So, the median is between 40 and 45 which is 42.5

IQR: Q3-Q1=42,5-29=13.5

From these results, it is observed that only the range is affected mostly when outlier 72 is removed.

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