Answer:
The equivalent expression is
✔ 3y + 2
.
The value of both expressions when y = 5 is
✔ 17
.
The expressions are
✔ equivalent
.
Step-by-step explanation:
Answer:
a) False. Because you can live in California AND watch American Idol at the same time
b) True. Because the number of patients is a whole number, like 1, 2 or 3. There is no 1.5 patient
c) False. The actual probability should become closer to the theoretical probablity
d) True
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 total amount is 384
Step-by-step explanation:
Let m = the amount of money
5/8 of the money is 240
5/8 * m = 240
Multiply each side by 8/5
8/5 * 5/8 * m = 8/5 * 240
m =384
The total amount is 384
Answer:
a
Step-by-step explanation:
