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rewona [7]
3 years ago
13

a mailing tube in the shape of cylinder has a height of 24 inches and a radius of 3 inches. what is the volume, in cubic inches,

of the mailing tube?​
Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0

ANSWER

The volume of the mailing tube is 678.6 square inches to the nearest tenth.

EXPLANATION

The volume of a cylinder is calculated using the formula;

V=\pi \:  {r}^{2} h

Since the mailing tube is in the form of a cylinder, we use this formula to find its volume.

We substitute h=24 and r=3 to obtain,

V=\pi \times {3}^{2} \times 24

V=216\pi  {in}^{2}

V=678.6{in}^{2}

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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
2 years ago
Word problem plz help pt.1​
shusha [124]

equation csn be represented as

money left = 500 - (n-1)×4.65

so we can see in first week money left

= 500 - (1-1)×4.65= 500-0=500

which is true because first week chaya got gift card and does not spend any money.

now lets assume that on week n money left is 327.95

so by equation

500 -(n-1)×4.65 = 327.95

500- 327.95 =( n-1)× 4.65

n -1 = 172.05/4.65=37

n = 37+1 = 38

in 38th week money left would be 327.95

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The answer is 15%.
Just divide 3 and 20.
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It is 5 1/9 after being simplified
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