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4 years ago

Which expression is equivalent to (7 to the 3rd exponent)-2 exponent?

Mathematics

1 answer:

zaharov [31]4 years ago

5 0

1 over 117649 is equivalent to (7^3)^-2

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According to a recent study, 1 in every 10 women has been a victim of domestic abuse at some point in her life. Suppose we have

vitfil [10]

Answer:

The probability that more than 22 of the women sampled have not been the victim of domestic abuse is P=0.537.

Step-by-step explanation:

This problem can be modeled by a binomial random variable.

The probability p can be calculated as the proportion of women that <em>has not</em> been a victim of domestic abuse at some point in her life:

$p=1-\dfrac{X}{n}=1-\dfrac{1}{10}=1-0.1=0.9$

The sample size is n=25.

We want to calculate the probability that more than 22 of the women of the sample have not been victim of domestic abuse.

The probability that exactly k women have not been victim of domestic abuse can be calculated as:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.9^{k} 0.1^{25-k}\\\\\\$

Then, the probability that more than 22 of the women sampled have not been the victim of domestic abuse is:

$P(x>22)=P(x=23)+P(x=24)+P(x=25)\\\\\\P(x=23) = \dbinom{25}{23} p^{23}(1-p)^{2}=300*0.089*0.01=0.266\\\\\\P(x=24) = \dbinom{25}{24} p^{24}(1-p)^{1}=25*0.08*0.1=0.199\\\\\\P(x=25) = \dbinom{25}{25} p^{25}(1-p)^{0}=1*0.072*1=0.072\\\\\\\\P(x>22)=0.266+0.199+0.072=0.537$

4 0

3 years ago

What is the midpoint of (-1,-6), (-6, 5)

kirill115 [55]

<h3>Answer:</h3><h3>-3.5,-0.5</h3>

Step-by-step explanation:

6 0

4 years ago

The steps below show the incomplete solution to find the value of x for the equation

svetoff [14.1K]

3x = 16 you need to get 3x by itself so you can divide so add the 3 to the other side

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4 years ago

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Pls answer a and b I will give brainliest answer

Natali5045456 [20]

Answer:

a. True, b. y = (-1/2)x + 8

Step-by-step explanation:

Because the graph is a straight line, that means that the graph is in fact proportional. For the equation, take the form y = mx+b. Plug in the slope, which is -1/2, and the y-intercept, which is 8, which would give you the equation y = (-1/2)x + 8.

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3 years ago

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DeShawn won 95 pieces of gum playing hoops at the county fair. At school he gave four to every student in his math class. If the

ra1l [238]

Hope this helps but I think the answer is A. 7

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3 years ago

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