Answer:
1.) Drawing a king or a queen.
Step-by-step explanation:
1.) Drawing a king or a queen.
You cannot get a king and a queen at the same time= mutually exclusive
2.) Drawing a club or a black card.
King of clubs is both a club and a black card
3.) Drawing a king or a heart.
king of hearts is both a heart and a king
4.) Drawing a face card or a heart
queen of hearts is a heart and a face card
Answer:
25,26,27, and 28
Step-by-step explanation:
Write consecutive integers as x,x+1,x+2,x+3,x+4, and so forth.
x+x+1+x+2+x+3
---------------------- = 53
2
1) Combine alike terms:
4x+6
------- = 53
2
2) Multiply both sides by 2:
4x+6=106
3) Subtract 6 from both sides:
4x=100
4) Divide both sides by 4:
x=25
5) Plug in 25 for x for all 4 integers:
25
26
27
28
Answer:
2.75
Step-by-step explanation:
Divide 13.75 by five.
Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97. But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,
μ = 97
Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions. This means the standard deviation of the average x is
σ = 17/√n
We want to be 95% certain
97 - 5 ≤ x ≤ 97 + 5
By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that
μ - 2σ ≤ x ≤ μ + 2σ
Comparing to what we want, that's means we have to solve
2σ = 5
2 (17/√n) = 5
√n = 2 (17/5)
n = (34/5)² = 46.24
We better round up.
Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean
Answer:
the answer would be I fly a starship, across the universe divide, and when I reach the otherside. I'll find a place to rest my spirit if I can.
