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3 years ago

Factor 40x^3-5y^3 COMPLETELY

1 answer:

7 0

$40x^3-5y^3=5(8x^3-y^3)=5[(2x)^3-y^3]\\\\use:a^3-b^3=(a-b)(a^2+ab+b^2)\\\\=5(2x-y)[(2x)^2+2xy+y^2]=5(2x-y)(4x^2+2xy+y^2)$

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So I'm still trying to figure out but tell me. What are two demicals rounded to 1.5

Andrej [43]

451.76 and 451.7576 these two

7 0

3 years ago

A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting ta

nikklg [1K]

Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean $\mu = p$ and standard error $s = \sqrt{\frac{p(1 - p)}{n}}$

In this problem:

1,190 adults were asked, hence $n = 1190$

In fact 62% of all adults favor balancing the budget over cutting taxes, hence $p = 0.62$ .

The mean and the standard error are given by:

$\mu = p = 0.62$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141$

The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:

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

By the Central Limit Theorem

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

$Z = \frac{0.59 - 0.62}{0.0141}$

$Z = -2.13$

$Z = -2.13$ has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the normal distribution and the central limit theorem at brainly.com/question/24663213

7 0

2 years ago

What is 8.016 as a fraction in simplest form

Papessa [141]

816/100

404/25

hope this helps

3 0

3 years ago

James wants to build a wooden barrel to hold rain water to use for irrigation. He wants the height of the barrel in feet to be 4

lina2011 [118]

Answer:

Step-by-step explanation:

To create a system of inequalities, write an inequality to model each condition that must be satisfied in the given situation.

It is given that x represents the area of the base of the barrel in square feet and y represents the volume of the pump in cubic feet.

Write an inequality to represent the amount of water that the barrel needs to hold after the pump is inserted. To find the volume of the barrel, multiply the area of the base by the height of the barrel. Then subtract the volume that will be taken up by the pump from that amount.

x(x-4) - y ≤ 90

To find the cost of the supplies for the barrel, find the surface area by multiplying the perimeter of the base by the height of the barrel and then adding the area of the base. Since there is no top, the area of the base only needs to be added once. Then, multiply the cost per square foot by the surface area.

To find the cost of the pump, multiply the cost per square foot of the pump by its volume.

Write an inequality representing the total cost. The cost must be less than or equal to $1,100.

8(x(x-4)+x) + 50y ≤ 1,100

Combining both of the inequalities gives the following system of inequalities.

x(x-4) - y ≤ 90

8(x(x-4)+x) + 50y ≤ 1,100

5 0

3 years ago

Find the slope and y-intercept of y=10x

masha68 [24]

Answer:

the slope would be 10

and the y-intercept would be 0

5 0

3 years ago

Read 2 more answers