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3 years ago

Factor 3y2 + 21y - 24

Mathematics

1 answer:

andre [41]3 years ago

5 0

Answer: 3⋅(y+8)⋅(y−1)

Step-by-step explanation: Hoped this helped

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A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal c

Lina20 [59]

Answer: 97.72%

Step-by-step explanation:

Given : A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal curve.

Let x be the random variable that represents the shoe sizees.

Also, The population mean = $\mu=11$ ; Standard deviation: $\sigma=1.5$

Formula for z:-

$z=\dfrac{x-\mu}{\sigma}$

Put x= 8, we get

$z=\dfrac{8-11}{1.5}=-2$

Now, the probability that the male shoe sizes are greater than 8 :-

$P(x>8)=P(z>-2)=1-P(z\leq-2)\\\\=1-0.0227501=0.9772499\approx0.9772$

Hence, the percent of male shoe sizes are greater than 8 is 97.72%.

7 0

3 years ago

In Grafton, a rural area in Vermont, the distance (in meters) between telephone poles has a uniform distribution between 40 and

coldgirl [10]

Answer:

a) 60% probability that the distance is environment friendly.

b) The mean of the distances between the telephone poles is 52.5 meters.

c) The standard deviation of the distance between the telephone poles is 7.22 meters.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 40 and 65 meters.

This means that $a = 40, b = 65$

a) Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?

This is $P(X > 50)$

We have that

$P(X \leq 50) + P(X > 50) = 1$

$P(X > 50) = 1 - P(X \leq 50)$

$P(X \leq 50) = \frac{50 - 40}{65 - 40} = 0.4$

$P(X > 50) = 1 - P(X \leq 50) = 1 - 0.4 = 0.6$

60% probability that the distance is environment friendly.

b) Find the mean of the distances between the telephone poles

The mean of the uniform distribution is

$M = \frac{a + b}{2}$

$M = \frac{a + b}{2} = \frac{40 + 65}{2} = 52.5$

c) Find the standard deviation of the distance between the telephone poles.

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

$S = \sqrt{\frac{(65-40)^{2}}{12}} = 7.22$

5 0

3 years ago

A park is 4.6 miles long and 2.7 miles wide.What is the total distance around the park

levacccp [35]

The distance around the park is the perimeter.

To find the perimeter add two lengths plus two widths:

Perimeter = 4.6 +4.6 + 2.7 +2.7 = 14.6 miles

6 0

3 years ago

Find each product or quotient<br> (3.6 X 10') = 6

JulijaS [17]

Answer:

Step-by-step explanation:

did you give the answer in the problem?

3 0

3 years ago

I need help please???

castortr0y [4]

Answer:

the answer is x<61

8 0

3 years ago