The area of a rectangle with a height of 2 and a width of 5x^2-2x+3

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

8 0

Answer:

Area is 10x^2 - 4x + 6

Step-by-step explanation:

To find this area, multiply the width and height together:

(5x^2 - 2x + 3)(2) = 10x^2 - 4x + 6

Vikki [24]3 years ago

3 0

Answer: A = 10x² - 4x +6

Step-by-step explanation:

Area is the product of width and height

A = 2(5x² - 2x + 3)

A = 10x² - 4x + 6

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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:

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