Answer:
26,250 sq mm^2
Step-by-step explanation:
First i cut the shape so its a rectangle on the top and there is a vertical rectangle. Then you find the lengths and to do that for the first rectangle(the horizontal one) you add 75, 75 and 75 to get the length. Then multiply 225(the sum of the 3 75s) by 75 (width) which gets you 16,875.
That is the area of the first rectangle
Now for the vertical rectangle you simply multiply the length and width, 75x125. That equals 9,375. Now add.
9375+16875= 26250!!!!
Answer:
10x − 1.44y
Step-by-step explanation:
(6.15x + 0.24y) ÷ 1.5 + 5.9x − 1.6y =
= 4.1x + 0.16y + 5.9x − 1.6y
= 10x − 1.44y
So point slope form is y=mx+b where m=slope and b=y intercept so
in (x,y) form
one solution is x=1 and y=3, also slope is 2 so
m=2
subsitute
3=2(1)+b
3=2+b
subtract 2
1=b
equation is
y=2x+1
tricky answers so simplify them
A: y-1=2(x-3)
distribute
y-1=2x-6
add 1
y=2x-5
not the answer
B: y-3=2(x-1)
distribute
y-3=2x-2
add 3
y=2x+1
correct
the answer is B
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
