Answer:
0.0150 = 1.50% of women satisfy that height requirement.
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 problem, we have that:

Find the percentage of women who satisfy that height requirement.
This is 1 subtracted by the pvalue of Z when X = 70. So



has a pvalue of 0.9850
1 - 0.9850 = 0.0150
0.0150 = 1.50% of women who satisfy that height requirement.
Answer:
B. The probability that the second dart hits the center given that the
first dart hits the center
Step-by-step explanation:
P(BA) is also called the "Conditional Probability" of B given A.
A straight vertical line has an undefined slope.
Answer: undefined
Answer: 80
Step-by-step explanation:
# Wrong Grade
1 90
2 80
3 70
4 60
Answer:
The maximum profit is 5070 dollars
Step-by-step explanation:
The profit y is represented by a quadratic function.
The equation that we can use to find a maximum value of a quadratic function is:
Max_value = c - (b^2 / 4a)
Where a, b and c are the coefficients of the quadratic function (in our case: a = -13, b = 770, c = -6332)
So, using this equation, we have:
Max_value = -6332 - (770^2 / 4*(-13)) = -6332 - 592900/(-52)
Max_value = -6332 + 11401.92 = 5069.92
rounding to the nearest dollar, we have that the maximum profit is 5070 dollars.