What is the steps of 6(6+y)=3(3-y)

The following prices, in dollars, of 7.5-cubic-foot refrigerators were recorded from a random sample. 314 305 344 283 285 310 3

Mariana [72]

Answer:

$t=\frac{310.9-300}{\frac{31.09}{\sqrt{10}}}=1.109$

The degrees of freedom are given by:

$df=n-1=10-1=9$

And the p value would be given by:

$p_v =P(t_{9}>1.109)=0.148$

Since the p value is higher than the significance level of 0.05 we don't have enough evidence to conclude that the true mean is significantly higher than $300 because we FAIL to reject the null hypothesis.

Step-by-step explanation:

Information given

314 305 344 283 285 310 383 285 300 300

We can calculate the sample mean and deviation with the following formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

$s =\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}$

$\bar X=310.9$ represent the sample mean

$s=31.09$ represent the standard deviation for the sample

$n=10$ sample size

$\mu_o =300$ represent the value to test

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to verify if the true mean is greater than 300, the system of hypothesis would be:

Null hypothesis: $\mu \leq 300$

Alternative hypothesis: $\mu > 300$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{310.9-300}{\frac{31.09}{\sqrt{10}}}=1.109$

The degrees of freedom are given by:

$df=n-1=10-1=9$

And the p value would be given by:

$p_v =P(t_{9}>1.109)=0.148$

Since the p value is higher than the significance level of 0.05 we don't have enough evidence to conclude that the true mean is significantly higher than $300 because we FAIL to reject the null hypothesis.

6 0

3 years ago

-3/4 + (-3/4) <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B%20-%203%7D%7B4%7D%20

nika2105 [10]

Firstly, since these two fractions have the same denominator, add the numerators up: $\frac{-6}{4}$

While it appears that the answer is -6/4, you can further simplify it by dividing the numerator and denominator by 2: $-\frac{6}{4}\div\frac{2}{2}=-\frac{3}{2}$

Your answer is $-\frac{3}{2}$ 

3 0

3 years ago

The car you just bought keeps breaking down. The parts you need to buy cost $408.97. Your mechanic also charges $53 per hour for

DiKsa [7]

C. repair charge = 53 * hours of labor + 408.97

7 0

3 years ago

Read 2 more answers

Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express t

marishachu [46]

Answer:

19.2

Step-by-step explanation:

1st Case:

4 and 5 are legs of the right triangle.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+5^2=x^2

16+25=x^2

41=x^2

x=√41

√41 is about 6.4

x=6.4

2nd Case

5 is the hypotenuse of the right triangle and 4 is the legs.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+x^2=5^2

16+x^2=25

x^2=9

x=3

Final Step

We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2

Anwser: 19.2

6 0

3 years ago

Sean was at batting practice he swung 25 times bout only hit the ball 15 times. Describe and write more than one ratio that is r

slavikrds [6]

50:30 because 25 plus 25 is 50 and 15 plus 15 is 30

5 0

3 years ago

Read 2 more answers