Answer:
$637.95
Step-by-step explanation:
convert 8.5% to a decimal by dividing by 100:
8.5÷100= 0.085
then multiply.
587.98×(0.085)=49.97
now add.
587.98+49.97=<u>637.95</u>
Answer:
Step-by-step explanation:
let the side of outer square=2x
then x²+x²=(20√2)²
2x²=800
x²=400
x=√400=20 in
2x=2×20=40 in
area of outer square=40²=1600 in²
area of inner square=(20√2)²=800 in²
area of shaded region A=1600-800=800 in²
Answer:

Step-by-step explanation:
Given that,
A line goes through the point (-8,9), and has a slope of 3/4.
We need to express in the form of Ax+B for this line.
We have, m = 3/4
So,

Put y = 9 and x = -8 in the above equation.

So,

It is the required equation of the line.
Answer:
2630 g
Step-by-step explanation:
From the given information:
Given that:
mean (μ) = 3750 g
Standard deviation (σ) = 500
Suppose the hospital officials demand special treatment with a percentage of lightest 3% (0.03) for newborn babies;
Then, the weight of birth that differentiates the babies that needed special treatment from those that do not can be computed as follows;
P(Z < z₁) = 0.03
Using the Excel Formula; =NORMSINV(0.03) = -1.88
z₁ = - 1.88
Using the test statistics z₁ formula:


By cross multiply, we have:
-1.88 × 500 = X - 3570
-940 = X - 3570
-X = -3570 + 940
-X = -2630
X = 2630 g
Hence, 2630 g is the required weight of birth that differentiates the babies that needed special treatment from those that do not