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Sindrei [870]
3 years ago
6

Jen traveled a distance of 170 miles in 2 hours and 45 min. Express her speed, in miles per hour to the nearest tenth

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Jen is going around 85mph


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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
Simplify the expression 5(n^2+n)-3n(2n^2+4n-2)
slega [8]

first, lets distribute the equation. 5(n^2+n)-3n(2n^2+4n-2) would become

5n^2 +5n -6n^3 -12n^2 +6n

Now we add the like terms.

-6n^3 - 7n^2 +11n

8 0
3 years ago
PLEASE HELP!!
user100 [1]
(8/-4) / (-3/9)=

(8/-4) * (9/3)=

72/-12=

-6
6 0
3 years ago
If ξ={1 , 2 , 3 , . . . , 8 , 9 , 10}
DENIUS [597]

Answer:

{1,4}

Step-by-step explanation:

A={3,6,9}

B={2,3,5,7}

C={1,2,3,4,5}

AUB={2,3,5,6,7,9}

(AUB)'={1,4,8,10}

(AUB)'⋂C={1,4}

7 0
3 years ago
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Help!<br><br> Factor the expressions. <br> x2 + 62x + 120 =
Lesechka [4]
(X+60)(x+2) is the answer
8 0
3 years ago
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