Answer:
$47.50
Step-by-step explanation:
You just take $380 and divide it by 8 hours to get the amount of money per hour, which is $47.50 .
3x=4+13x=5x=5/32x=2* 5/32x=10/3
Answer:
h(3) = 207 feet
Step-by-step explanation:
what is the maximum height for -16t^2+96t+63
h(t) = -16t^2+96t+63
We see max height at the vertex of this parabolic function
x = -96/2*(-16) = 3 seconds
h(3) = -16*3*3 + 96*3 + 63
h(3) = -144 + 288 + 63
h(3) = 207 feet
Let Q be the point (a, b). Since the midpoint of P (2, 3) and Q (a, b) is (4, 6), we have
(2 + a)/2 = 4
(3 + b)/2 = 6
Solve for a and b :
(2 + a)/2 = 4
2 + a = 8
a = 6
(3 + b)/2 = 6
3 + b = 12
b = 9
So the coordinates of Q are (6, 9).
Answer:
0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 10 minutes and a standard deviation of 3 minutes
This means that 
Find the probability that a randomly selected complaint takes more than 15 minutes to be settled.
This is 1 subtracted by the p-value of Z when X = 15, so:



has a p-value of 0.9525.
1 - 0.9525 = 0.0475.
0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.