Answer:
207.72 seconds.
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 waiting time of 138.5 seconds, standard deviation of 29 seconds.
This means that 
The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than
The 100 - 0.75 = 99.15th percentile, which is X when Z has a pvalue of 0.9915, so X when Z = 2.387.
So the answer is 207.72 seconds.
ANSWER TO QUESTION 1
Just substitute
in to
That means everywhere we see
we replace it with
.
This gives us,
The correct answer is B
ANSWER TO QUESTION 2
We first find the area of the sitting area.
From the diagram, the sitting area has the following dimension.
and
.
Since the sitting area is rectangular in shape, we use the formula for finding the area of area of a rectangle.
That is ,
.
We substitute the dimension to obtain,
Since each person occupies 2 square feet, we divide by 2
The correct answer is C
ANSWER TO QUESTION 3.
The question 2and 3 are the same.
Answer:
Opposite, You don't give the shapes so that's an assumption.
The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units
<h3>Properties of a square.</h3>
- All the sides are equal.
- Opposite sides are parallel to each other.
- The diagonal intersects at right angle.
Using Pythagoras theorem the value of x can be found as follows:
c² = a² + b²
where
- c = hypotenuse
- a and b are other legs
Therefore,
8² = x² + x²
64 = 2x²
x² = 64 / 2
x = √32
x = 5.65685424949
x = 5.7 units
learn more on square here:brainly.com/question/12338379
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