Answer:
g(f(-1)) = 2
Step-by-step explanation:
f(x) = 2 + x
g(x) = 3 - x
if you need to find g(f(-1)); find f(-1) first
f(-1) = 2 + (-1) = 1
f(-1) =1; now plug this into g(1)
g(1) = 3 - 1 = 2
Answer: a. 0.14085
b. 3.826 x 
c. 0.5437
d. 0.0811
Step-by-step explanation:
Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 ,
= $527
Given standard deviation ,
= $160
Let X = amount spent on a randomly selected child
Also Z =
a. Probability(X>$700) = P(
>
) = P(Z>1.08125) = 0.14085 {Using Z % table}
b. P(X<100) = P( Z <
) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x 
c. P(450<X<700) = P(X<700) - P(X<=450)
P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592
P(X<=450) = P(Z<=
) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155
So final P(450<X<700) = 0.8592 - 0.3155 = 0.5437
d. P(X<=300) = P(Z<=
) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811
All the above probabilities are calculated using Z % table along with interpolation between two values.
P = 2l + 2w
p - 2w = 2l
l = p-2w/2
It would be the third response
Area of a circle is pi x r^2
R is the radius which is have the diameter: r = 10/2 = 5
Area of the full circle would be 3.14 x 5^2 = 3.14 x 25 = 78.5 square units.
A semi circle is half a full circle
Area of the semi circle = 78.5/2 = 39.25 square units.