Find the length of the missing triangle
Find the length of the missing triangle - 1

Answers

Answer 1
Answer:

Answer:

The pythagoras's theorem is the relation between the sides of a right-angles triangle, it shows that the square of the hypotenuse of the triangle will be equal to the sum of squares of the remaining sides

hypotenuse² = perpendicular² + base²

replacing the variables with the sides of the given triangle:

x² = 15² + 8²

x² = 225 + 64

x² = 289

x = √289

x = 17 mi


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The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime soda to make servings of apple soda: A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 6, 12, 18, 24, 30. Points are shown on ordered pairs 0, 0 and 1, 6 and 2, 12 and 3, 18 and 4, 24. These points are connected by a line. The label on the x axis is Lemon -Lime Soda in cups. The title on the y axis is Apple Juice in cups. What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda? 1:24 24:1 1:6 6:1

A university administrator was interested in determining if there was a difference in the distance students travel to get from class from their current residence(in miles). Men and women at UF were randomly selected. The Minitab output is below. What is the best interpretation for the output? Difference = mu (F) - mu (M) T-Test of difference = 0 (vs not =): T-Value = -1.05 P-Value = 0.305 DF = 21

Answers

Answer:

1) Fail to reject the Null hypothesis

2) We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

Step-by-step explanation:

A university administrator wants to test if there is a difference between the distance men and women travel to class from their current residence. So, the hypothesis would be:

H_(o): \mu_(F)-\mu_(M)=0\n\n H_(a): \mu_(F)-\mu_(M)\neq 0

The results of his tests are:

t-value = -1.05

p-value = 0.305

Degrees of freedom = df = 21

Based on this data we need to draw a conclusion about test. The significance level is not given, but the normally used levels of significance are 0.001, 0.005, 0.01 and 0.05

The rule of the thumb is:

  • If p-value is equal to or less than the significance level, then we reject the null hypothesis
  • If p-value is greater than the significance level, we fail to reject the null hypothesis.

No matter which significance level is used from the above mentioned significance levels, p-value will always be larger than it. Therefore, we fail to reject the null hypothesis.

Conclusion:

We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

Final answer:

The Minitab output from the t-test signifies that there is no statistically significant difference in the distances traveled by men and women at UF to get to class. The t-value and p-value obtained don't give enough evidence to reject the null hypothesis. The degrees of freedom (DF) indicate the number of independent observations in the sample.

Explanation:

The output from Minitab that you've shared is the result of a paired t-test comparing the mean distances traveled by men and women to get to class at UF. The null hypothesis in this context is that there is no difference in the average distances traveled by men and women (Difference = mu (F) - mu (M)). The t-value of -1.05 and the p-value of 0.305 do not provide enough evidence to reject the null hypothesis at the conventional 0.05 level of significance. Therefore, we could interpret the output as not detecting a statistically significant difference between the mean distances men and women travel to get to class at UF.

The 'DF' or degrees of freedom, indicates the number of independent observations in your sample that are free to vary once certain constraints (like the sample mean) are calculated. In this case, DF = 21, which is the sample size (pairs of men and women) minus 1.

Learn more about t-test here:

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Find the value of z such that 0.11 of the area lies to the right of z. Round your answer to two decimal places.

Answers

Final answer:

To find the value of z such that 0.11 of the area lies to the right of z, use the standard normal probability table. The value of z is approximately 1.96.

Explanation:

To find the value of z such that 0.11 of the area lies to the right of z, we can use the standard normal probability table. The area to the right of z is equal to 1 minus the area to the left of z.



Using the information given, the area to the left of z that corresponds to a value of 0.025 is 0.975. The area to the left of 1.96, which can be found using the standard normal probability table, is 0.975.



Therefore, the value of z is approximately 1.96.

Learn more about Standard Normal Distribution here:

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Answer:

1.23?

Step-by-step explanation:

Consider the function.f(x) = 25 - 35
What is the x-intercept of f'(x)?
10
o loo)
0 (0)
• (230)

Answers

Answer:

it willbe 10 make it like an equation

What is the quotient and remainder of 8 divided 25

Answers

the answer is 3 reminder 1


WITH GRAPHWhat is the y-intercept of this line? A. (-2,0) B. (0,-2) C. (0,1) D. (1,0)

Answers

Answer:

(0, -2) (Answer B)

Step-by-step explanation:

Recall that the y-axis represents x = 0.  The blue line crosses (intercepts) the y-axis when x = 0.  The corresponding y-coordinate is -2.  Thus, the y-intercept is (0, -2), or just -2.

Is (0,5) a solution to the equation y=2x?​

Answers

Answer:

No.

Step-by-step explanation:

If (0,5) is a solution to y=2x, then 5=2(0) has to be true.

It is not because 5=2(0) is not true.

2(0)=0 and 0 is definitely not 5.

An example of a point on y=2x is (5,10) since 10=2(5) is true.

Answer:

No

Step-by-step explanation:

The coordinate points are x and y.

So, in this case, 0 would be x and 5 would be y.

We can substitute those numbers into our equation to get:

5=(2)(0)

2 multiplied by 0 equals 0.

0 CANNOT equal 5.

Therefore, your answer is NO, (0,5) isn't the solution to the equation y=2x.

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