A college conducted a survey to explore the academic interests and achievements of its students. It asked students to place chec
1 answer:
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Answer:
Step-by-step explanation:
Given Data:
Slant height of square pyramid = l = 13 inches
Base edge of square pyramid = s = 20 inches
To Find Out:
Surface area of square pyramid = SA = ?
Formula:
Solution:
Answer:
P(X > 1.05) = 1 - 0.8413 = 0.1587 = 15.87%.
Step-by-step explanation:
Problems of normally distributed samples can be 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 P(X > 1.05).
This is 1 subtracted by the pvalue of Z when X = 1. So:
has a pvalue of 0.8413
So P(X > 1.05) = 1 - 0.8413 = 0.1587 = 15.87%.
Answer:
- The angle Ф = 24.15°
Step-by-step explanation:
We have to determine the angle Ф
Given the triangle, we can determine that
sin Ф = opposite / hypotenuse
Here,
- The opposite of Ф = 18
- The hypotenuse = 44
so
sin Ф = opposite / hypotenuse
Thus,
- The angle Ф = 24.15°