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Nana76 [90]
3 years ago
8

Select all that apply. Choose the numbers that are factors of 112. (Hint: Use the divisibility rules to help you!) 2 3 4 6 7 8

Mathematics
2 answers:
solong [7]3 years ago
5 0

Answer:

2 4 7 8

Step-by-step explanation:

they can all be multiplied by something to get 112

irga5000 [103]3 years ago
3 0

Answer:  2, 4, 6, 8

Step-by-step explanation: They all go evenly into it.

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ohaa [14]
25% of 30 = 7.5
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3 years ago
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A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?
forsale [732]

Answer:

Volume of the empty space in the can  is 327.05  cm^3

Step-by-step explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

To Find:

Volume of the empty space in the can = ?

Solution:

Step 1:  Finding the volume of one golf ball

Ball is shape of the sphere

So lets use the volume of the sphere formula

Volume of the  golf ball = \frac{4}{3}\pi r^3

Radius =\frac{5}{2} = 2.5 cm

Substituting the values

Volume of the  golf ball  

=\frac{4}{3} \pi \times(2.5)^3

=\frac{4}{3} \pi \times (15.625)

= \frac{4}{3} \times 49.06

= \frac{196.24}{3}

= 65.41

Step 2:  Finding the volume of empty space of the can

volume of empty space of the can =  volume of 5 golf ball

= 5 X 65.41

= 327.05

7 0
3 years ago
The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a st
Alinara [238K]

Answer:

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem

The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer, so \mu = 0.5, \sigma = 0.05.

What is the probability that a line width is greater than 0.62 micrometer?

That is P(X > 0.62)

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.62 - 0.5}{0.05}

Z = 2.4

Z = 2.4 has a pvalue of 0.99180.

This means that P(X \leq 0.62) = 0.99180.

We also have that

P(X \leq 0.62) + P(X > 0.62) = 1

P(X > 0.62) = 1 - 0.99180 = 0.0082

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Evaulate the function at the indicated values h(t)=t+(3/t)i find h(x-1)
alex41 [277]

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Note that the domain of h is <span>[0,∞]</span>.

By differentiating,

<span>h'<span>(t)</span>=<span>34</span><span>t<span>−<span>14</span></span></span>−<span>34</span><span>t<span>−<span>34</span></span></span></span>

by factoring out <span>34</span>,

<span>=<span>34</span><span>(<span>1<span>t<span>14</span></span></span>−<span>1<span>t<span>34</span></span></span>)</span></span>

by finding the common denominator,

<span>=<span>34</span><span><span><span>t<span>12</span></span>−1</span><span>t<span>34</span></span></span>=0</span>

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Since <span>h'<span>(0)</span></span> is undefined, <span>t=0</span> is also a critical number.

Hence, the critical numbers are <span>t=0,1</span>.

I hope that this was helpful.

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