Answer:
; 
Step-by-step explanation:
Score of the first two quizzes: 75 and 97
Let n represent the third score
Average score would be:
.
Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:
Solve for n in each statement that makes up the compound inequality:


Multiply both sides by 3


Subtract 172 from each side of the inequality


Also,


Multiply both sides by 3


Subtract 172 from both sides of the inequality


Combining both together, the possible values of her third quiz score would be:

Answer:
Longer than 27.7 minutes.
Step-by-step explanation:
When the distribution is normal, we use 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:

The slowest quarter of customers will require longer than how many minutes (to the nearest tenth) for a simple haircut?
Longer than the 100 - 25 = 75th percentile of times, which is X when Z has a pvalue of 0.75. So X when Z = 0.675. So




So
Longer than 27.7 minutes.
Answer:
z=7
Step-by-step explanation:
25(−2)=125
25−50=125
Answer:
x = 1.723
Step-by-step explanation:
The zeros of a function f(x) are the points where the function crosses the x-axis. At these points, the function will have a value of zero, that is;
f(x) = 0
We simply graph the function and determine the points where it crosses the x-axis. From the attachment, f(x) crosses the x-axis at;
x = 1.723