Carrie is finding the set of even numbers within the set of prime numbers. of the sets described, which is the universal set? all real numbers all integers prime numbers even numbers

Option 3 - Prime numbers

Step-by-step explanation:

Given : Carrie is finding the set of even numbers within the set of prime numbers.

To find : Of the sets described, which is the universal set?

Solution :

Set of even numbers are those number which are divisible by 2.

Set of prime numbers are the numbers which are divisible by 1 and the number itself

We only take positive numbers.

Carrie has taken out the set of  even number within the set of prime number

So, 2 is the only number inside this set as 2 is even as well as prime number.

Therefore, The universal set will be prime numbers.

So, Option 3 is correct.

c prime numbers

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Step-by-step explanation:

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.