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2 years ago

How do you factorize the algebraic expression [8p³ - 27q³ - 36p²q + 54pq²] using identities?

Mathematics

1 answer:

IceJOKER [234]2 years ago

8 0

Answer:

8p^3 -27q^3 -36p^2q +54pq^2

Step-by-step explanation:

This isn't factorizable???

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The director of the library calculates that 29% of the library's collection is checked out. If the director is right, what is th

marusya05 [52]

Answer:

The probability that the proportion of books checked out in a sample of 412 books would differ from the population proportion by less than 4% is P=0.9255.

Step-by-step explanation:

The population's proportion is $\pi=0.29$

If we take a sample of 412 books (n=412), we have a standard deviation of the sampling distribution of:

$\sigma_M=\sqrt{\frac{\pi(1-\pi)}{n}}=\sqrt{\frac{0.29*0.71}{412}}=\sqrt{0.0005} =0.0224$

We have to calculate the probabilty that the sample proportion will be between 0.25 and 0.33.

$z_1=(0.25-0.29)/0.0224=-0.04/0.0224=-1.7857\\\\z_2=1.7857\\\\\\P(0.25$

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3 years ago

A tour bus travels 2,160 miles in 36 hours. What is the average distance the bus travels in one hour?

Marysya12 [62]

60 miles in 1 hour (divide the miles by the hours)

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2 years ago

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Vinil7 [7]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

A rectangle has a perimeter of 204 feet. It's length is six feet longer than twice it's width. If L stands for the length of the

Ratling [72]

Answer:

L = 70

W = 32

Step-by-step explanation:

P = 2L + 2W

P 204 feet

W = x

L = 2x + 6

P = 2L + 2W

P = 2*(2x + 6) + 2*x

P = 4x + 12 + 2x

P = 6x + 12

But we know that P = 204 So 6x + 12 = 204

6x + 12 = 204 Subtract 12 from both sides

6x + 12 - 12 = 204 - 12 Collect like terms on the right

6x = 192 Divide by 6

x = 192/6

x = 32

Answer

W = 32

L = 2*W + 6

L = 2*32 + 6

L = 64 + 6

L = 70

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3 years ago

Question 2 of 5

Flura [38]

Answer:

sStep-by-step explanation:

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1 year ago