10 because radius is half, so 5x2= 10
Answer:
5, -1
Step-by-step explanation:
3x<10+8, 3x<18, x<6.
Answer:
Net Proceeds = Selling Price - Total Cost Price
a. Samantha
Total Cost Price;
Bought shares for d dollars and paid 2% commission = d + (d * 2%) = 1.02d
Selling Price;
Sold stock for s dollars and paid flat fee of $11 = s - 11
Net Proceeds = (s - 11) - 1.02d
b. Alex
Total Cost Price;
Bought x dollars worth and paid 1% commission = x + (x * 1%) = 1.01 * x = 1.01x
Selling Price;
Value falls to y and Alex pays 1.25% when he sells = y - (y * 1.25%) = y - 0.0125y = 0.9875y
Net Proceeds = 0.9875y - 1.01x
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:
Step-by-step explanation:
Given
Required
Determine the image P'
P' is calculated by multiplying P and k.
i.e.
This gives:
<em>Hence, the image P' after dilating P is (-10,-8)</em>
