A cone fits inside a square pyramid as shown. For every cross section, the ratio of the area of the circle to the area of the sq
2 answers:
Answer:
Option B
Step-by-step explanation:
we know that
The volume of the cone is equal to
where
Bc is the area of the circle of the base of the cone
The volume of the square pyramid is equal to
where
Bp is the area of the square base of the pyramid
we know that
substitute in the formula of volume of the cone
Remember that
substitute
----> StartFraction pi Over 4 EndFraction the volume of the pyramid
or
----> StartFraction pi Over 4 EndFraction (StartFraction (2 r) squared (h) Over 3 EndFraction)
or
----> One-thirdπr^2h
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Answer:
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
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 question, we have that:
What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So
X = 425
has a pvalue of 0.7088
X = 325
has a pvalue of 0.1814
0.7088 - 0.1814 = 0.5274
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
Answer:
x= 7
Step-by-step explanation:
It's a 45 45 90 triangle
The legs are = x while the hypotenuse is x .
Therefore the answer is 7