How do I apply properties of multiplication powers ? Answer in 4 sentences or more.

1 answer:

4 0

To find a power of a product, look the power of each factor and then multiply. If you want to multiply two powers with the same exponent but different bases, you use the commutative property of multiplication. Product of powers property shows us that when you multiply powers with the same base you just have to add the exponents. This is raising a power to a power.

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Match Term Definition

Levart [38]

The correct matches are as follows:

Line Segment
E) part of a line that has two endpoints

Plane
D) a flat surface that extends infinitely and has no thickness

Perpendicular Lines
B) two lines that intersect at 90° angles

Line
A) a series of points that extend in two directions without end

Parallel Lines
C) lines that lie in the same plane and do not intersect

Hope this answers the question. Have a nice day.

4 0

4 years ago

Read 2 more answers

If 2 liters of sea water contain 70 grams of salt, how much salt is in 32 liters of seawater?

Liono4ka [1.6K]

Answer:

There is 1,120 grams of salt in 32 liters of seawater.

Step-by-step explanation:

32 / 2 = 16

16 * 70 = 1,120

8 0

3 years ago

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.75$

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581$

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$