Answer:
the measure of angle Z is 104
Step-by-step explanation:
the angle z and 76 form a suplementary angle, which they add up to 180.
To find angle z, just subtract 76 from 180.
Answer:
x = 2, x = -6
Step-by-step explanation:

Subtract 8 from both sides.

Simplify.

Solve with quadratic formula.
a = 1
b = 4
c = -12
I do not have time to show work for quadratic formula parts.
I am so sorry for this inconvenience.
Answer:
4.65% probability that a randomly selected customer takes more than 10 minutes
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

Probability that a customer takes more than 10 minutes:
This is 1 subtracted by the pvalue of Z when X = 10. So

has a pvalue of 0.9535
1 - 0.9535 = 0.0465
4.65% probability that a randomly selected customer takes more than 10 minutes
Answer:
Step-by-step explanation:
45=32+13
tan 45=tan(32+13)

or 1-tan 32 tan 13-tan 32-tan 13=0
Answer:
The answer to this problem is x equals 14
Step-by-step explanation: