Which statement is true about the square pyramid below?
2 answers:
Answer:
The missing image from the problem is attached
The answer is (C) Each of the lateral faces has an area of 464 square inches.
Step-by-step explanation:
Base is a square that is 32 in
The height of one of the 4 lateral faces is 29 in
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Base is L*W --> 32*32 = 1024 square inches
(1) Lateral face is 1/2*b*h = 0.5*32*29 = 464 square inches
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Since the answers are about the face and/or one lateral face only, those two numbers are important. (C) is the only answer that matches
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Answer:
Step-by-step explanation:
we know that
when
-------> complementary angles
so
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is equal to
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Answer:
0% probability that at least 1,500 will agree to respond
Step-by-step explanation:
I am going to use the binomial approximation to the normal to solve this question.
Binomial probability distribution
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The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
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.
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In this problem, we have that:
So
What is the probability that at least 1,500 will agree to respond
This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So
has a pvalue of 1.
1 - 1 = 0
0% probability that at least 1,500 will agree to respond