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ch4aika [34]
3 years ago
6

What is 160 broken down into prime numbers

Mathematics
1 answer:
allsm [11]3 years ago
5 0
If you mean prime factorization it is 2X2X2X2X2X5
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-3k + 3(k - 6) = 18<br> Help please!!!
vovangra [49]
No solution for this question
4 0
2 years ago
What is the unit rate of 588 and 12
leva [86]

Answer:

49

Step-by-step explanation:

588  divided by 12                        49

___                                  =           -------          

12    divided by 12                           1

Hope this helped, click thanks if it did

6 0
3 years ago
The chart below shows the average number of movies seen per person in selected countries. Use equal intervals to make a frequenc
NARA [144]
To make a frequency table, you will need to find the lowest and highest average number of movies.

Numbers go from 0.5 to 4.5.
And example of frequencies you could use are:

0-0.9 (1)
1-1.9(5)
2-2.9(5)
3-3.9(2)
4-4.9(1)

The frequencies are in parentheses beside the intervals.

6 0
3 years ago
A large electronic office product contains 2000 electronic components. Assume that the probability that each component operates
KIM [24]

Answer:

The probability is 0.971032

Step-by-step explanation:

The variable that says the number of components that fail during the useful life of the product follows a binomial distribution.

The Binomial distribution apply when we have n identical and independent events with a probability p of success and a probability 1-p of not success. Then, the probability that x of the n events are success is given by:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}

In this case, we have 2000 electronics components with a probability 0.005 of fail during the useful life of the product and a probability 0.995 that each component operates without failure during the useful life of the product. Then, the probability that x components of the 2000 fail is:

P(x)=\frac{2000!}{x!(2000-x)!}*0.005^{x}*(0.995)^{2000-x}     (eq. 1)

So, the probability that 5 or more of the original 2000 components fail during the useful life of the product is:

P(x ≥ 5) = P(5) + P(6) + ... + P(1999) + P(2000)

We can also calculated that as:

P(x ≥ 5) = 1 - P(x ≤ 4)

Where P(x ≤ 4) = P(0) + P(1) + P(2) + P(3) + P(4)

Then, if we calculate every probability using eq. 1, we get:

P(x ≤ 4) = 0.000044 + 0.000445 + 0.002235 + 0.007479 + 0.018765

P(x ≤ 4) = 0.028968

Finally, P(x ≥ 5) is:

P(x ≥ 5) = 1 - 0.028968

P(x ≥ 5) = 0.971032

3 0
2 years ago
What is the surface area of the prism in square inches?
Kay [80]

<u>Given</u>:

Given that the triangular prism with height 10 inches.

The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.

We need to determine the surface area of the prism.

<u>Surface area of the prism:</u>

The surface area of the prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base and h is the height of the triangle.

s₁, s₂, s₃ are the side lengths of the triangle and

H is the height of the prism.

Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;

SA=(12)(5)+(12+5+13)(10)

SA=60+(30)(10)

SA=60+300

SA=360 \ in^2

Thus, the surface area of the triangular prism is 360 square inches.

Hence, Option b is the correct answer.

8 0
3 years ago
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