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2 years ago

kylie worked 40 hours this week. She worked 7/10 of the hours outside and the rest inside. How many hours did he work outside?

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

6 0

7/10s of 40 would be 28 so that leave 12 hours to work inside

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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:

Step (i):-

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

Step(ii):-

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

'μ' > 18min

Alternative hypothesis :H₁:

'μ' <18min

Level of significance : ∝=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

Step(iii):-

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

Conclusion:-

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

2 years ago

Wilson made punch from a recipe that called for 1 and 1/2 cups of orange juice and 3/4 Cup lemonade. Wilson used 2 and 1/4 cups

ryzh [129]

If you don't understand I am really sorry

3 0

3 years ago

The cylinders are similar. The volume of the larger cylinder is 9648 cubic inches. What is the volume of the smaller cylinder?

zalisa [80]

Hey there :)

The volume formula of a cylinder is:
V = $\pi$ r²h

The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first

9648 = $\pi$ r²(18)
$\frac{9648}{18}$ = $\pi$ r²
536 = $\pi$ r²
$\frac{536}{ \pi}$ = r²
$\sqrt{ \frac{536}{ \pi } }$ = r
r ≈ 13.06

The ratio of the big cylinder to small cylinder is:
18 : 9 (given height)
So the big cylinder is 2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger

$\frac{13.06}{2} = r$
r ≈ 6.53 ( the radius of the small radius )

V (of small cylinder) = $\pi$ (6.53)²(9)
= 1206 in³

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3 years ago

Geometry multiple choice question HELPPP!!!??

Bas_tet [7]

Answer:

24/30

Step-by-step explanation:

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Ghella [55]

NON LINEAR

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2 years ago

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