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3 years ago

A car is driving at the speed of 58 kilometers per hour. how much time will it take to drive for distance of 32 miles ?

Mathematics

1 answer:

quester [9]3 years ago

7 0

well, we know that there are 1.609 kilometers in 1 mile, so 58 kilometers will be 58 ÷ 1.609 ≈ 36.05 miles.

we know the car is doing 36.05 miles in 1 hour, how long will it be for 32 miles?

$\bf \begin{array}{ccll} miles&hours\\ \cline{1-2} 36.05&1\\ 32&x \end{array}\implies \cfrac{36.05}{32}=\cfrac{1}{x}\implies 36.05x=32 \\\\\\ x=\cfrac{32}{36.05}\implies x\approx 0.8877\qquad \leftarrow \textit{53 minutes and about 16 seconds}$

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Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

<em>Step(I)</em>:-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

$p_{1} = \frac{360}{390} = 0.9230$

second sample proportion

$p_{2} = \frac{47}{52} = 0.9038$

Step(ii):-

Null hypothesis : H₀ : There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

$Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } } }$

where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1}+n_{2} }$

P = 0.920

$Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52} } )}$

Test statistic Z = 0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

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3 years ago

If you have 80 employees and you grew 116%, what was the amount of original employees?

Nezavi [6.7K]

Answer: 69

Step-by-step explanation:

Let the original employee be x , this means that

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116x = 8000

divide through by 116

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x = 68.96551724

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This means that there were 69 employees originally

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2 years ago

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I think about 100 models

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3 years ago

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omeli [17]

x=4 y=5

if we put two pharases together

the answer is as follows pic :

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2 years ago

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Elden [556K]

Answer:

14.13

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use the radius, 3 squared

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3 years ago