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
Answer:
C is the correct answer
Step-by-step explanation:
Answer:
The answer to this is: y = (x - 6)² - 28
Step-by-step explanation:
The first step is to make sure the coefficient in front of x² is 1. If it isn't, just divide the whole equation by the coefficient. In this case, you don't need to do any division because you just have x²
Group the first two terms involving x² and x:
(x² - 12x) + 8
Now complete the square as follows:
a. Take the coefficient in front of x --> -12
b. Halve it --> -6
c. Square it --> (-6)² = 36
d. Add this and subtract it
(x² - 12x + 36 - 36) + 8
Take the negative number outside the parentheses:
(x² - 12x + 36) - 36 + 8
(x² - 12x + 36) - 28
The part in parentheses is a perfect square so rewrite it as such. If you need help refer back to step b.
(x - 6)(x - 6) - 28
(x - 6)² - 28
P.S. Vertex form is:
(x - h)² + k
In that form, the vertex is (h, k). In your case, the vertex of the parabola would be (6, -28).
Answer:
y = (x - 6)² - 28
Answer:
Great use of desmos! But since one line doesn't touch the x- axis it would have to be +infinity. the other line does touch at (0,0) so the x would be 0. This is a question that you should ask your teacher about for sure.
Sorry I cant be more help!
Answer:
x=3/8
Step-by-step explanation:
3x+x-3/2=0
4x=3/2
8x=3
x=3/8
check:
3(3/8)+3/8-3/2=
9/8+(3-12)/8=
9/8-9/8=0
