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Firdavs [7]
3 years ago
5

A hockey puck has a diameter of 7.6 cm and a height of 3.4 cm. What is the volume of a cylindrical package containing six pucks?

Express your answer to the nearest cubic centimeter.
Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

924.96\ cm^3

Step-by-step explanation:

Given that,

The diameter of a hockey puck, d = 7.6 cm

Height, h = 3.4 cm

We need to find the volume of the volume of a cylindrical package containing six pucks.

Volume of 1 puck,

V=\pi r^2 h\\\\=3.14\times (3.8)^2\times 3.4\\\\=154.16\ cm^3

Volume of 6 pucks,

V=6\times 154.16\ cm^3\\\\=924.96\ cm^3

So, the volume of the 6 puck is 924.96\ cm^3.

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The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c
siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that \sigma = 0.26

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

M = z\frac{\sigma}{\sqrt{n}}

0.1 = 1.645\frac{0.26}{\sqrt{n}}

0.1\sqrt{n} = 1.645*0.26

\sqrt{n} = \frac{1.645*0.26}{0.1}

(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2

n = 18.3

Rounding up:

19 beers must be sampled.

7 0
3 years ago
What is the value of x
pochemuha

This is the isosceles triangle. Therefore, the angles at the base are congruent.

We know that the sum of the measures of the angles in a triangle is 180°.

Therefore we have the equation:

38^o+x^o+x^o=180^o

38^o+2x^o=180^o        <em>subtract 38 from both sides</em>

2x^o=142^o       <em>divide both sides by 2</em>

x^2=71^o

<h3>Answer: x = 71.</h3>
5 0
3 years ago
What is the prime fractorization of 84
Anvisha [2.4K]
84/2 = 42
42/2 = 21
21/3 = 7
7/7 = 1

84 = 2^2 * 3 * 7
8 0
3 years ago
Read 2 more answers
Mathematics in the london eye answers
san4es73 [151]
CENTRAL ANGLE: 
<span>There are 32 passenger cars, so you want an angle equal to 1/32 of the full circle. 
</span>
<span>The full circle in degrees is 360°, but you want radians. </span>
<span>The full circle in radians is 2π. </span>
<span>2π / 32 </span>
<span>= π/16 radians 
</span>
<span>ARC LENGTH </span>
<span>The arc length would be 1/32 of the full circumference. I know you already asked and got answers for the full circumference. Divide that by 32. 
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<span>AREA OF SECTOR: </span>
<span>Ditto on this. You have the full area from a prior question. Now just divide it by 32</span>
6 0
4 years ago
A magazine contains thirteen pages. You
n200080 [17]

Answer:

10

Step-by-step explanation:

because your more likely to open to a page deeper in the magazine

5 0
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