The table below shows the favorite color of all the students at Wolff Elementary school.

Using the arrangements formula, it is found that there are 24 ways to arrange the people as such one works each quarter.

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, 4 people will be arranged, hence:

[tex]A_4 = 4! = 24[/tex]

Hence, they can be arranged in 24 ways.

More can be learned about the arrangements formula at https://brainly.com/question/24648661

Answer:

0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniformly distributed between 0 and 5 minutes.

This means that [tex]a = 0, b = 5[/tex]

Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

[tex]P(X > 4.25) = \frac{5 - 4.25}{5 - 0} = 0.15[/tex]

0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Answer:

20% of 30 < 30% of 40

Step-by-step explanation:

Find 20% of 30

20/100 = x/30

Cross multiply

20 × 30 = 100 × x

600 = 100x

Divide both sides by 100

6 = x

Find 30% of 40

30/100 = x/40

Cross multiply

30 × 40 = 100 × x

1200 = 100x

Divide both sides by 100

12 = x

Compare the two answers:

6 and 12

6 < 12

Answer:

Since the pvalue of 0.0985 > 0.05, we cannot infer that the satisfaction rate is less than the claim with a level of significance of 5%

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 0.9[/tex]

Because tate Farm claims that policyholders have a customer satisfaction rate of greater than 90%.

The alternate hypotesis is:

[tex]H_{1} < 0.9[/tex]

Because of the question: Can we infer that the satisfaction rate is less than the claim with a level of significance of 5%.

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

State Farm claims that policyholders have a customer satisfaction rate of greater than 90%.

This means that [tex]\mu = 0.9, \sigma = \sqrt{0.9*0.1}[/tex]

To check the accuracy of this claim, a random sample of 60 State Farm policyholders was asked to rate whether they were satisfied with the quality of customer service.

This means that [tex]n = 60[/tex]

Fifteen percent of these policyholders said they were not satisfied with the quality of service.

So 100 - 15 = 85% were satisfied, which means that [tex]p = 0.85[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.85 - 0.9}{\frac{\sqrt{0.9*0.1}}{\sqrt{60}}}[/tex]

[tex]z = -1.29[/tex]

[tex]z = -1.29[/tex] has a pvalue of 0.0985.

Since the pvalue of 0.0985 > 0.05, we cannot infer that the satisfaction rate is less than the claim with a level of significance of 5%

c.StartFraction 5 over 9 EndFraction

D. is not the answer  and four-fifths i think the best answer

Answer:

Step-by-step explanation:

I dont know it can you help me

Answer:

The number is 26

Step-by-step explanation:

number + 10 = 36, then you'd subtract ten from both sides and get :

number = 26

Answer:

1. sometimes

2. always

3. always

4. always

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

x+165degrees=180degrees

x=180-165

x=15

Answer:

For x<1, answer would be A.

Step-by-step explanation:

Since the less than sign doesn't have a line under it "making it less than or equal to" the dot on the graph is not shaded, and if you simply read the inequality, x is less than 1, so it goes in the direction less than 1.

Answer:

9

Step-by-step explanation:

7x - 3 = 60

7x = 60 + 3

7x = 63

x = 63 ÷ 7

x = 9

Answer:

=7:2

Step-by-step explanation:

63:18

divide both sides by 3

=21.6

divide by 3 again

=7:2

Answer:

2 tens and 8 ones

Step-by-step explanation:

10 + 10 = 20

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 8

20 + 8 = 28

Answer:

Step-by-step explanation:

2 tens and 8 ones

20=10/2

10x2=20

8/1=8

8x1=8

20+8=28

Answer:

The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs.

Answer:

the answer above this one is wrong

respectfully

Step-by-step explanation:

The answer is " < "

because angle F is greater than angle C, which means line ED is longer than AB

Answer:

The equation of line a is y=(1/2)x−1, and it passes through point (6,2).

       line b is: y = -2x + c and we use point (-6,2) to find b.

      2 = -2(-6) + c

     14 = c

The equation for line b is: y = -2x + 14

The y-intercept (which is the point where x=0) is the point (0,14.)        So, y=14

Step-by-step explanation:

hope this helps       :)

Answer:

Step-by-step explanation:

x^10/x^5

x^10*x^-5

x^10-5

x^5

Answer:

1/4

Step-by-step explanation:

8 + 4n = 9

4n = 1

n = 1/4

Answer:

y= -10

Step-by-step explanation:

:)

Answer: I think it might be (A)

Step-by-step explanation:

Answer:

ANSWER

Step-by-step explanation:

Answer:

6t - 5

Step-by-step explanation:

hope you have a good day

Answer: correct me if im wrong but  i think its 5-6t

Step-by-step explanation:

Answer:

The first error is in line 1.

Step-by-step explanation:

The equation that represents the statement is:

[tex]4-\frac{x}{3}=11[/tex]

it is four (4) less than a number (x) divided by three (3) is 11.

Therefore, we need to start from this equation, so the first error is in line 1.

I hope it helps you!

Answer:

9 = x (assuming 15 is the hypotenuse)

Step-by-step explanation:

15^2 = 12^2 + x^2

225 = 144 + x^2

subtract 144 from both sides

81 = x^2

square root both sides

9 = x

Answer:

8 to the nearest whole is 10

8 is over halfway so its 10.

Step-by-step explanation:

8 5/9 rounded to nearest whole is 9

5/9 id about 1/2 and 1/2 is about a whole so its 9

Answer:

15.49

Step-by-step explanation:

The pythagorean theorem

4^2 + B^2 = 16^2

16 + B^2 = 256

16 + 240 = 265

Sqrt240 = 15.49

Answer:

[tex]x = 15.49[/tex]

Step-by-step explanation:

To solve this problem is necessary to use the pythagorean theorem:

According to this diagram, the length of the ladder would be the hypotenuse and the distance between the base and the wall would be one of the legs of the triangle, to find the other leg, use the pythagorean theorem:

[tex]x = \sqrt{ {16}^{2} - {4}^{2} } \\ x = \sqrt{240} \\ x = 15.49[/tex]

The ladder hits the wall at 15:49 feet.