Answer:
67 units^2
Step-by-step explanation:
The surface area of the prism is found by
SA = 2 ( lw+lh + wh)
= 2 ( 5*1.5+ 4*1.5 + 5*4)
= 2 ( 7.5+6+20)
= 2 (33.5)
= 67
Answer:
Step-by-step explanation:
Given that the height in inches, of a randomly chosen American woman is a normal random variable with mean μ = 64 and variance 2 = 7.84.
X is N(64, 2.8)
Or Z = 
a) the probability that the height of a randomly chosen woman is between 59.8 and 68.2 inches.

b) 
c) For 4 women to be height 260 inches is equivalent to
4x will be normal with mean (64*4) and std dev (2.8*4)
4x is N(266, 11.2)

d) Z is N(0,1)
E(Z19) = 
since normal distribution is maximum only between 3 std deviations form the mean on either side.
Answer:
c = -6
Step-by-step explanation:
Let us solve your equation step-by-step, which is this: c
/−3 + 5 = 7
The first step is to simplify both sides of the equation: −1
/3
c + 5 = 7
Then, subtract 5 from both sides: -1/3c + 5 - 5 = 7 - 5 ---> -1/3c = 2
Multiply both sides by -3/1 making it equal to: c = -6.
So I believe that the position the triangle is sitting in is the original position that the question started with correct? (Wasn't sure if you moved it before the screenshot or not)
So for all three points of the triangle, move each of them 6 units to the left since the rule has (x-6). If it was x+6, it should be 6 units to the right then.
After you move it 6 units to the left, move the points (all three) 4 units down since (y-4) means moving in the y-direction downward!
That should be the new place for the triangle to be positioned.
Hope this helps!
This area is equal to the sum of a circle with a radius of 5/2 in and a rectangle 5 by 15 in so:
A=πr^2+xy
A=π(2.5)^2+5*15
A=6.25π+75 in^2
A≈94.63 in^2 (to nearest hundredth) so
A≈95 in^2 (to nearest whole square inch)