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Dvinal [7]
3 years ago
13

PLS HELP NO LINKS PLS I NEED THIS IN AN HOUR

Mathematics
1 answer:
ahrayia [7]3 years ago
8 0

Answer:

V= 3 1/2 x 3 x 1 1/2

Step-by-step explanation:

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Which describes the correlation shown in the scatterplot?
Alexus [3.1K]
The answer to the question is c.
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3 years ago
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What is the value of z in the equation 2(4z − 3 − 21) = 166 − 46? 21 24 30 36
Nataly_w [17]
2(4z-3-21)=166-46

Combine like terms
2(4z-24)= 120

Distribute
8z-48= 120

Add 48 to both sides
8z= 168

Divide both sides by 8
z=21

Final answer: z=21
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2 years ago
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Nike claims that the number of miles a jogger can get a on a pair of Nike’s running shoes is higher than 1000. Moreover, Nike al
Lisa [10]

Answer:

a) There is statistical evidence showing that Nike shoues get more than 1000 miles.

b) The p-value of t=1.84 and df=149 is P=0.034.

It represents the probability of getting this sample results if the population parameters are the ones from the null hypothesis.

In this case, the low p-value shows is rare to get a sample of n=150 and mean 1015 miles, if the population mean is 1000. This is evidence that the null hypothesis is not true.

c) There is no enough evidence to claim that Nike shoes outperform Adidas shoes by 15 miles.

d) The p-value for t=0.55 and 318 df is P=0.29.

This shows that there is a probability of P=0.29 of getting samples that show this difference if the statement of the null hypothesis is true.

Step-by-step explanation:

a) We have to perform a hypothesis test with the following hypothesis:

H_0: \mu\leq 1000\\\\H_a: \mu>1000

The level of significance is 0.05.

The sample mean is 1015 and the sample standard deviation is 100.

The degrees of freedom are df = 150-1 = 149.

The t-statistic is:

t=\frac{M-\mu}{s/\sqrt{n}}=\frac{1015-1000}{100/\sqrt{150}} =\frac{15}{8.165} =1.84

The critical value for t is t=1.66. As the t-statistic is bigger than the critical t, it falls in the rejection region. The null hypothesis is rejected.

There is statistical evidence showing that Nike shoues get more than 1000 miles.

b) The p-value of t=1.84 and df=149 is P=0.034.

It represents the probability of getting this sample results if the population parameters are the ones from the null hypothesis.

In this case, the low p-value shows is rare to get a sample of n=150 and mean 1015 miles, if the population mean is 1000. This is evidence that the null hypothesis is not true.

c) In this case, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2\leq 15\\\\H_a: \mu_1-\mu_2>15

The significance level is 0.05.

The difference between sample means is:

M_d=1015-995=20

The standard deviation of the difference is:

\sigma=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}= \sqrt{\frac{100^2}{150}+\frac{50^2}{170}}= \sqrt{66.67+14.70}=9

The degrees of freedom are:

df=n_1+n_2-2=150+170-2=318

The critical value is t=1.65

The t-statistic is:

t=\frac{M_d-(\mu_1-\mu_2)}{\sigma} =\frac{20-15}{9}= \frac{5}{9}= 0.55

The value ot the t-statistic is lower than the critical value, so it lies within the acceptance region.

There is no enough evidence to claim that Nike shoes outperform Adidas shoes by 15 miles.

d) The p-value for t=0.55 and 318 df is P=0.29.

This shows that there is a probability of P=0.29 of getting samples that show this difference if the statement of the null hypothesis is true.

6 0
2 years ago
Value of X. Please give step by step so I understand
otez555 [7]

Answer:

The value of x is 15.

Step-by-step explanation:

Since the base is 40 inches long, and the two triangles are congruent - both are right triangles and have sides x and their bases equal - you know that each base of a triangle is 20 inches long. Using the Pythagorean Theorem, you can get that x^2+20^2=25^2. Solve for x by isolating the variable on one side: x^{2} =25^{2} - 20^{2} ⇒ x^{2} = 625 - 400 ⇒ x^{2} = 225 ⇒ x^{2} =225 ⇒ x=\sqrt{225} ⇒ x=15 inches.

5 0
2 years ago
What are the solutions to the quadratic equation 3(x – 42 = 752
Neporo4naja [7]
X=292.6

Step 1: distribute 3 through parentheses
3x-126=752

Step 2: move the constant to the right and change it sign
3x= 752+126

Step 3: add the numbers
3x= 878

Step 4: divide both sides by three
X= 878/3 or 292.6
7 0
2 years ago
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