Find the product.

Hey! I need help on this question as well . I know it is b or c. But I’m not sure which one . Thank you.

Airida [17]

P = 2(l + w)

p/2 = l + w divide both sides by 2

p/2 - w = l subtract both sides by w

l = (p - w)/2

so c, is your answer.

hope this helps, God bless!

5 0

3 years ago

A study was conducted to estimate the difference in the mean salaries of elementary school teachers from two neighboring states.

umka21 [38]

Answer:

$(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70$

$(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698$

The confidence interval would be $-3301.70 \leq \mu \leq 501.698$ and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.

Step-by-step explanation:

We have the following info given by the problem

$\bar X_1 = 28900$ the sample mean for the salaries of teachers in Indiana

$s_1 = 2300$ the sample deviation for the salary of teachers in Indiana

$n_1 =10$ the sample size from Indiana

$\bar X_2 = 30300$ the sample mean for the salaries of teachers in Michigan

$s_2 = 2100$ the sample deviation for the salary of teachers in Michigan

$n_2 =14$ the sample size from Michigan

We want to find a confidence interval for the difference in the two means and the formula for this case is given by;

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}$

The degrees of freedom for this case are:

$df = n_1 +n_2 -2= 10+14-2 =22$

The confidence is 95%so then the significance is $\alpha=0.05$ and the $\alpha/2 =0.025$ , we need to find a critical value in the t distribution with 22 degrees of freedom who accumulates 0.025 of the area on each tail and we got:

$t_{\alpha/2}= 2.07$

And now replacing in the formula for the confidence interval we got:

$(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70$

$(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698$

The confidence interval would be $-3301.70 \leq \mu \leq 501.698$ and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.

6 0

3 years ago

during a 5-year period, 35% storms caused a power out. 39 of the storms didnt. find the total number of storms over the 5-year p

Kay [80]

.65x=39
x=39/.65=60 just solve it as algebra

4 0

4 years ago

Divide. −425÷(−5) −2225 −825 825 2225

Alex17521 [72]

Answer: The correct answer would be -85.

Step-by-step explanation: This is because the -5 becomes positive because it is inside parentheses.

This would make the expression: -425 ÷ 5.

-425 ÷ 5 is equal to -85.

Hope this helps and have a nice day! :)

6 0

3 years ago

A box of cereal states that there are 96 calories in a 3/4 cup serving what is the unit rate for calories per cup? How many cups

riadik2000 [5.3K]

Answer:1

Step-by-step explanation:

3 0

3 years ago