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bekas [8.4K]
3 years ago
6

(p³-7p³-21p+4) ÷(p+2)

Mathematics
1 answer:
tigry1 [53]3 years ago
3 0

The quotient is -6p^2 + 12p - 45 + (94/(p + 2))

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Justin rented a bike on vacation. It cost $17 plus $6 per hour. If he paid $29 then he rented the bike for how many hours?
lozanna [386]
The answer is two hours
3 0
3 years ago
IM GIVING 20 POINTS AND BRAINLY TO WHO GETS IT RIGHT THIS IS DUE REALLY SOON AND I NEED HELP PLSSSS​
Bezzdna [24]

Answer:

5/6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help me im in a rush
sertanlavr [38]

Answer:

7.6

Step-by-step explanation:

mean = [weights] / amount of weights

m = 10 + 7 + 6 + 10 + 13 + 10 / 6

m = 46 / 6

m = 7.66666666 (recurring)

m = 7.6

4 0
2 years ago
George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months. He followed the steps below to determine t
Crazy boy [7]
<h2>Hello!</h2>

The answer is: George made his first mistake in Step 1.

<h2>Why?</h2>

Getting a result of 26 cars needed means that he didn't take in consideration the next month in the mean calculation.

We have information of the number of sold cars of the first seven months, but if he wants to calculate the number of cards he needs to have a mean of 24 sold cards next months, he should take in consideration an extra month (the eighth month).

Checking the mistake:

\frac{18 + 22 + 26 +12 + 25 +20 + 19 + x }{7}=24

\frac{18 + 22 + 26 +12 + 25 +20 + 19 + x }{7}=24\\x=26

So, it proves that he made a mistake by multiplying it into 7 and instead into 8

The correct answer would be:

\frac{18 + 22 + 26 +12 + 25 +20 + 19 + x }{8}=24\\x=50

He needed to include the eighth month in order to calculate how many cars he should sell next months in order to have a mean of 24 cars.

Have a nice day!

3 0
3 years ago
Read 2 more answers
3.30 Survey response rate. Pew Research reported in 2012 that the typical response rate to their surveys is only 9%. If for a pa
Artist 52 [7]

Answer:

0% probability that at least 1,500 will agree to respond

Step-by-step explanation:

I am going to 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 = 15000, p = 0.09

So

\mu = E(X) = np = 15000*0.09 = 1350

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15000*0.09*0.91} = 35.05

What is the probability that at least 1,500 will agree to respond

This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So

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

Z = \frac{1499 - 1350}{35.05}

Z = 4.25

Z = 4.25 has a pvalue of 1.

1 - 1 = 0

0% probability that at least 1,500 will agree to respond

6 0
4 years ago
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