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3 years ago

Use the power rule & the power of a product rule to simplify the expression. (2p^4)^6

Mathematics

1 answer:

Papessa [141]3 years ago

6 0

(2p^4)^6 = (2^6)p^(4 x 6) = 64p^24

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What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?

Leviafan [203]

-x^2+2x+3=x^2-2x+3 add x^2 to both sides

2x+3=2x^2-2x+3 subtract 2x from both sides

3=2x^2-4x+3 subtract 3 from both sides

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2x(x-2)=0

So x=0 and 2

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3 years ago

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Nata [24]

Answer:

Its b.

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3 years ago

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Find the geometric mean of the pair of numbers. Give your answer in simplest radical form.

NARA [144]

9514 1404 393

Answer:

10√5

Step-by-step explanation:

The geometric mean of two numbers is the square root of their product.

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3 years ago

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en

GuDViN [60]

Answer:

$P = 0.1447$

Step-by-step explanation:

Given

$n = 7000$ -- total

$d = 180$ --- defective

$r = 6$ --- selected

Required

The probability of rejecting the batch

This means that at least one of the selected piece is defected.

So, we first calculate the probability that all the selected piece are accepted.

So, we have:

$Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}$

The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs

So, we have:

$Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}$