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2 years ago

13

A mechanic charged $320.28 to repair a car. The price included charges for 3 hours of labor and $115.46 for parts. How much does

the mechanic charge per hour for labor? Please help

1 answer:

Viefleur [7K]2 years ago

4 0

Answer:

$68.27 for 1 hour

Step-by-step explanation:

$320.28 - $115.46 = $204.82

$204.82 / 3 hours of labour = $68.27 for 1 hour

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what is the volume of a oblique cylinder with the height of 6 cm and a 4 cm as the radius of its base

JulsSmile [24]

Answer :

301.44 cm³

⠀

Explanation :

We know,

${ \longrightarrow \qquad\pmb {\boldsymbol{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}$

Where,

<em>r</em> is the radius of the cylinder. Here, the radius is 4 cm

<em>h</em> is the height of the cylinder. Here, height is 6 cm

Here, we will take the value of π as 3.14 approximately .

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Substituting the values in the formula :

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${ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times ({4})^{2} \times 6 \: }}}}}$

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${ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 16\times 6 \: }}}}}$

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${ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 96 \: }}}}}$

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${ \longrightarrow \qquad{ \ { \it{ \pmb{ Volume_{(cylinder)} {= 301.44 \: }}}}}}$

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Therefore,

The volume of the cylinder is 301.44 cm³ approximately.

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Step-by-step explanation:

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As per given , we have

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Significance level : $\alpha= 1-0.98=0.02$

Critical z-value : $z_{\alpha/2}=2.33$ (using z-value table)

Then, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity will be :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

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