Answer:
The Z-score when x = 76 is of -0.125, which tells you that x = 76 is 0.125 standard deviations to the left of the mean.
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.
X ~ N(77,8).
This means that 
Z-score when X = 76:



Negative means that its to the left of the mean.
The Z-score when x = 76 is of -0.125, which tells you that x = 76 is 0.125 standard deviations to the left of the mean.
Answer:
the one that cost the most interest is option B.
Step-by-step explanation:
In order to select the one that costs more we need to apply the data from each one to the formula below:
M = C*r*t
Where M is the interest amount, C is the value of the loan, r is the interest rate and t is the time elapsed. We have:
A)
M = 1500*0.0625*(24/12) = 187.5
B)
M = 1500*0.06*(30/12) = 225
C)
M = 1500*0.04*(36/12) = 180
D)
M = 1500*0.0375*(42/12) = 196.875
Therefore the one that cost the most interest is option B.
Answer:
4
Step-by-step explanation:
4 squared equals 16 and 4 times 4 equals 16
We need to find the unit rate. To do so, divide the amount of money he makes by the number of parts sold. 1,700 / 16 = 106.25. So, if the man sells one computer part, he gets $106.25. To find the price of 30 parts, multiply 106.25 by 30. 106.25 * 30 = $3,187.50
The man will make $3,187.50 if he sells 30 parts.
Answer:
36.57
Step-by-step explanation: