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svetoff [14.1K]
3 years ago
8

What is the volu ne of the cylinder? Use 3.14 for it, and round your answer to the nearest tenth.

Mathematics
1 answer:
bearhunter [10]3 years ago
4 0

Answer:

942

Step-by-step explanation:

If 5 is the radius and 12 is the height, and the formula of a cylinder is  V=πr^2h, we can substitute.

V=π(5)^2(12)

5^2 is 25, and 25 times 12 is 300.

300π, and that would be approximately 942.

942

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A city council is deciding whether or not to spend additional money to reduce the amount of traffic. The council decides that it
garri49 [273]

Answer:

t = 2.9272 > 1.708 at 25 degrees of freedom

null hypothesis is rejected

The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes

Step-by-step explanation:

<u>Step (i):</u>-

A sample of 26 main roads results in a mean waiting time of 21.1 minutes with a sample standard deviation of 5.4 minutes.

Given sample size 'n' = 26

The mean of the sample 'x⁻ = 21.1 min

Standard deviation of the sample 'S' = 5.4 min

The Population mean 'μ' = 18min

<u>Step(ii)</u>:-

<u>Null hypothesis: H₀</u> :  The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 18 minutes.

'μ' > 18min

<u>Alternative hypothesis</u> :H₁:  

'μ' <18min

<u>Level of significance :</u> ∝=0.05

Degrees of freedom γ = n-1 = 26-1 =25

The test statistic

 t  = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }

t  = \frac{21.1-18}{\frac{5.4}{\sqrt{26} } }

t = 2.9272

<u>Step(iii)</u>:-

The tabulated value t = 1.708 at 25 degrees of freedom

t = 2.9272 > 1.708 at 25 degrees of freedom

Null hypothesis is rejected at  5% significance level of significance

<u>Conclusion</u>:-  

The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes

8 0
3 years ago
If 1/2 paint cover 1/8 of the wall,then how many quarts cover the whole wall
Lyrx [107]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Solve for X as a decimal
telo118 [61]
MA/MN = MB/BP

MA = 46.2  -14
MA=32.2

so
MA/MN = MB/BP
32.2/46.2=x/72.6
46.2x = 72.6 * 32.2
46.2x = 2337.72
x = 2337.72  /  46.2
x = 50.6
6 0
3 years ago
Match the pairs of values of f(x) and g(x) with the corresponding values of h(x) if h(x) = f(x) ÷ g(x). Tiles f(x) = x2 − 9, and
vitfil [10]
For this case we must solve each of the functions.
 We have then:

 f (x) = x2 - 9, and g (x) = x - 3
 h (x) = (x2 - 9) / (x - 3)
 h (x) = ((x-3) (x + 3)) / (x - 3)
 h (x) = x + 3

 
f (x) = x2 - 4x + 3, and g (x) = x - 3
 
h (x) = (x2 - 4x + 3) / (x - 3)
 h (x) = ((x-3) (x-1)) / (x - 3)
 h (x) = x-1

 f (x) = x2 + 4x - 5, and g (x) = x - 1
 h (x) = (x2 + 4x - 5) / (x - 1)
 h (x) = ((x + 5) (x-1)) / (x - 1)
 h (x) = x + 5

 f (x) = x2 - 16, and g (x) = x - 4
 h (x) = (x2 - 16) / (x - 4)
 h (x) = ((x-4) (x + 4)) / (x - 4)
 h (x) = x + 4
4 0
3 years ago
Read 2 more answers
The product of 718 and 82
Kaylis [27]
<span>The product of 718 and 82 is 58876. </span>
6 0
3 years ago
Read 2 more answers
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