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3 years ago

Write a polynomial function in standard form with roots 6, 2, and -3.

Mathematics

1 answer:

loris [4]3 years ago

5 0

Answer:

Step-by-step explanation:

f(x)=(x-6)(x-2)(x+3)

=(x-6)(x^2+x-6)

=x^3+x^2-6x-6x^2-6x+36

or f(x)=x^3-5x^2-12x+36

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Ari is taking a group of people to the movies. Each child costs $4 and each adult is $9. How much will he pay if the group consi

alexira [117]

Dur

4 kids cost 4 each, total is 4 times 4 or 16 for kids

adult is 9
3 of them
3 times 9=27

kids+adults=16+27=$43

3 0

3 years ago

Read 2 more answers

Which of the following did Napoleon use to strengthen France and help restore the country after the French Revolution?

ryzh [129]

Answer: The Napoleonic Code

Step-by-step explanation:

I took the test, and I also needed help. Im not sure if it's the right answer but it's what everyone I asked said

7 0

3 years ago

A state insurance commission estimates that 13% of all motorists in its state areuninsured. Suppose this proportion is valid. Fi

umka21 [38]

Answer:

79.95% probability that in a randomsample of 50 motorists, at least 5 will be uninsured.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 50, p = 0.13$

$\mu = E(X) = np = 50*0.13 = 6.5$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.13*0.87} = 2.38$

Find the probability that in a randomsample of 50 motorists, at least 5 will be uninsured.

This is 1 subtracted by the pvalue of Z when X = 4. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{4 - 6.5}{2.38}$

$Z = -0.84$

$Z = -0.84$ has a pvalue of 0.2005

1 - 0.2005 = 0.7995

79.95% probability that in a randomsample of 50 motorists, at least 5 will be uninsured.

4 0

4 years ago

16.

Dominik [7]

44.5 and 135.5. The difference is 91

8 0

3 years ago

The mean number of hours per day spent watching television, according to a national survey, is 3.5 hours, with a standard deviat

aleksley [76]

Answer:

4.5 hour and 2 hour

Step-by-step explanation:

Given: The mean number of hours per day spent watching television, according to a national survey, is 3.5 hours, with a standard deviation of two hours.

To Find: If each time was increased by one hour, what would be the new mean and standard deviation.

Solution:

let the total numbers entries of hours in survey be = $\text{N}$