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seraphim [82]
3 years ago
11

Which expression is equivalent to (^4√5^3)^(1/2)5^65^3/85^16/35^2/3

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0
Hello!

To solve this, we must solve the equation..

(^4√5³)^(1/2) = 1.82...

It can't be A because 5^6 = 15625

It can't be C because 5^16/3 = 5343.67...

It can't be D because 5^2/3 = 2.92...

It can be B because 5^3/8 also equals 1.82...

So, (^4√5³)^1/2 = 5^3/8.

Hope this helps! ☺♥
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You have the numbers 1-24 written on slips of paper. If you choose one slip at random, what is the probability that you will not
ra1l [238]

The probability of selecting a number not divisible by 3 is: 2/3

Step-by-step explanation:

There are two methods to solve the question.

  1. We can find the probability of numbers not divisible by 3
  2. We can find the probability of numbers divisible by 3 and then find the complement of it

We will use the second method:

Given:

There are 24 slips

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}

n(S) = 24

Let A be the event that the slip number is divisible by 3

Then

A = {3,6,9,12,15,18,21,24}

n(A) = 8

The probability of number divisible by 3 is:

P(A) = \frac{n(A)}{n(S)}\\=\frac{8}{24}\\=\frac{1}{3}

The sum of the probability of an event's occurrence and non-occurrence is 1. So the probability of numbers divisible by 3 will be subtracted from 1 to find the probability of selecting a number not divisible by 3.

The probability of selecting a number not divisible by 3 will be:

=1-\frac{1}{3}\\=\frac{3-1}{3}\\=\frac{2}{3}

The probability of selecting a number not divisible by 3 is: 2/3

Keywords: Probability

Learn more about probability at:

  • brainly.com/question/9045597
  • brainly.com/question/9103248

#LearnwithBrainly

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