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Leni [432]
3 years ago
13

How do you factor 45x^2+295x-140

Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0
I could explain it, but you have to ask me, other than that the answer is 5(x+7)(9x-4).
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A study was conducted to investigate the relationship between maternal smoking during pregnancy and the presence of congenital m
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Answer:

a) In the explanation.

b) P=0.09714

c) P=0.0866

d) p=0.208

Step-by-step explanation:

a) The sampling distribution will have this properties:

1 - The sampling distribution of a proportion is equal to the binomial distribution.

2 - The mean of the sampling distribution will be equal to the proportion of the population (0.328).

\mu=\pi=0.328

3 - The standard deviation will be equal to the square root of the product of the proportion and its complementary, divided by the sample size.

\sigma_s=\sqrt{\pi(1-\pi)/n}=\sqrt{0.328*(1-0.328)/25}=0.094

B) The fraction with sample proportion of 0.45 or higher is

z=(p-\pi)/\sigma=(0.45-0.328)/0.094=1.298\\\\P(p\geq0.45)=P(z\geq 1.298)=0.09714

C) The fraction with sample proportion of 0.20 or lower is

z=(p-\pi)/\sigma=(0.2-0.328)/0.094=-1.362\\\\P(p\leq0.2)=P(z\geq -1.362)=0.0866

D) The value of p that cuts off the lower 10% of the distribution corresponds to z=-1.28.

Then we have

z=(p-\pi)/\sigma\\\\p=\pi+z\sigma=0.328+(-1.28)*0.094=0.328-0.120=0.208

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