Answer:
lowest score a college graduate must earn to qualify for a responsible position is 578
correct option is D. 578
Step-by-step explanation:
given data
mean = 500
standard deviation = 50
distribution = 6 %
to find out
What is the lowest score a college graduate must earn to qualify for a responsible position
solution
we know that here Probability P that is express as
P ( Z > x ) = 100% - 6% .....................1
so with the help of normal table
here value of Z is = 1.55 from cumulative probability 0.94
so by z score formula here x will be
x = z × standard deviation + mean ................2
so put here value
x = 1.55 × 50 + 500
x = 577.7387 ~ 578
so lowest score a college graduate must earn to qualify for a responsible position is 578
Answer:
The main answer: $4.84
Step-by-step explanation:
County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$75 * 0.0725 = $5.4375
Add the original price and the sales tax.
$75 + $5.4375 = $80.4375
County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$70 * 0.08 = $5.6
Add the original price and the sales tax.
$70 + $5.6 = $75.6
Then take the difference.
80.4375 – 75.6 = 4.8375
Round to the nearest hundredth: $4.84
The equation of a parabola is:
If a>0, then the parabola opens up;
If a<0, then the parabola opens down.
The coordinates of focus are:
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )