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USPshnik [31]
3 years ago
9

What is 10^-3x*10^x= 1/10

Mathematics
1 answer:
densk [106]3 years ago
3 0
Since 1/10=10^-1, and multiplying exponents with the same base just adds the actual exponents at the top, x=2
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On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees
Ann [662]

Answer:

59.87% probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they are absent, or they are not. The probability of an employee being absent is independent from other employees. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of the production employees at Midland States Steel are absent from work.

This means that p = 0.05

What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

This is P(X = 0) when n = 10. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987

59.87% probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

4 0
3 years ago
What is 3 4/5 times 2 1/3 ?<br> Your answer
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The answer to this question is 8.86666666667
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Graph the lines by finding the points of intersection with the axes (intercepts): y=2.5x+5
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2x+5=15<br><br> Solve for x<br> a.5<br> b.2<br> c.7<br> d.10
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Answer:

A.5

Step-by-step explanation:

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3 years ago
Helppppppppppppppppppppp
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Answer:

a, c

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
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