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yanalaym [24]
3 years ago
9

You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π c

ubic inches. What is the least possible height of the container?
The least possible height of the container is ___ inches.
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
4 0
Answer: 9 inches

Explaination: The volume of a cylinder, V = (πr^2)H, so H = V/(πr^2).

Using the parameters you specified, H = 324π/[(π)(6^2)] = 324π/36π = 324/36 = 9 inches
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A line passes through (−1, 7) and (2, 10). which answer is the equation of the line?
mart [117]
First you need to find the slope of the line. So what you need to do is y^2-y^1 / x^2-x^1

(x^1, y^1) (x^2, y^2)
( -1, 7) ( 2, 10)

10-7/ 2- (-1)
3/3=1
slope is 1

I got 8 as the y intercept. Reason how is that I made a table. And what I did was go back instead of going forward.

x y
-1 7
0 8
1 9
2 10

The answer would be x= 1 y= x + 8 y=8 But the answer choice you listed for A. would not match up the 2 coordinate you gave. Make sure a. should be x= 1 y= x + 8 y=8, not -x y= 8-x y=8
6 0
3 years ago
NEEEDDD ASAPPP! Eight theater has 500 seats the 3/4 of the seats are filled how many seats are filled?
Anton [14]
3/4=0.75
0.75×500=375
375 of the 500 seats are filled
7 0
3 years ago
Read 2 more answers
|2x + 1| - 4 &lt; 5 <br><br> solve and graph
NeX [460]

Answer:

The value of x could be 3

Step-by-step explanation:

2 x 3 = 6 + 1 - 4 = 3 which is less than 5

7 0
3 years ago
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Construct the 95% confidence interval for the population mean using the appropriate distributions. a. A random sample of 50 peop
SSSSS [86.1K]

Answer: 95% confidence interval would be (26.01,29.39).

Step-by-step explanation:

Since we have given that

n = 50

Mean = 27.7

Standard deviation = 6.12

We need to construct 95% confidence interval for the population.

so, z = 1.96

So, it becomes,

\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=27.7\pm 1.96\times \dfrac{6.12}{\sqrt{50}}\\\\=27.7 \pm 1.69\\\\=(27.7-1.69,27.7+1.69)\\\\=(26.01,29.39)

Hence, 95% confidence interval would be (26.01,29.39).

4 0
4 years ago
I need help with this, please. Your family is driving from Harrisburg Pennsylvania to San Antonio, Texas a trip of 1430 miles. Y
olga_2 [115]

Estimate the total amount you should plan to spend on gasoline for the entire trip

<em>Total distance of the trip</em> = 1430 miles

<em>After 350 miles, refill tank</em> = $35

This means 350 miles cost $35

1430 miles cost $x

solve using ratio

350 : 35 = 1430 : x

350/35 = 1430 / x

10 = 1430/x

<em>cross product</em>

10x = 1430

<em>Divide both sides by 10</em>

x = 1430 / 10

x = $143

Therefore, the total amount you should plan to spend on gasoline for the entire trip is $143

Read more:

brainly.com/question/18520020

3 0
3 years ago
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