Answer:
z = - .5
Step-by-step explanation:
z = (x - μ)/ σ
z = 56 - 60/8 = -.5
Answer: 5/4, or 1.25
Step-by-step explanation:
To solve, get a variable on one side. First, add 5 on both sides.
g(x) = 4x-5+5
Next, divide by four.
5/4 = 4x/4
Now, solve.
5/4, or 1.25 = x
Answer:
Step-by-step explanation:
Perimeter = 2(l + w)
Perimeter = 464inches
Length l = 100inches
: 464 = 2(100 + w)
Dividing be 2
464/2 = 100 + w
232 = 100 + w
Collecting like terms
232 - 100 = w
132 = w
It is 132 inches long
Answer:
Step-by-step explanation:
The rule with like bases is that when you multiply them you add their exponents.

Therefore, our final simplification is

Answer:
335.115
Step-by-step explanation:
First you find the area of the circles to do that you do pi times radius squared
For the top square do 3.14(pi)time 3²=28.26
For the middle square do 3.14 times 4.5²=63.585
For the bottom square do 3.14 times 6²=113.04
Now find the area of the entire thing do 18×12+9+6+3=18×30=540
Finally do 540-the area of the squares 28.26-63.585-113.04= 335.115
So the shaded region is 335.115
Hope this helps and have a great day!