Answer:
57.93% probability that a trip will take at least 35 minutes.
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:
What is the probability that a trip will take at least 35 minutes
This probability is 1 subtracted by the pvalue of Z when X = 35. So
has a pvalue of 0.4207
1 - 0.4207 = 0.5793
57.93% probability that a trip will take at least 35 minutes.
Answer:
They reverse each other.
Step-by-step explanation:
A function and an inverse of a function undo what the other does. For example, a function gives an ordered pair of (5,0). Therefore, the inverse would give an ordered pair (0,5).
Probability is expressed as
number of favorable outcomes/number of total outcomes
The number of cards in a deck is 52(total outcomes)
Recall, there is only 1 five of clubs in a deck of cards(favorable outcomes)
Thus, the probability that the card is a five AND a club is 1/52
Inverse property of multiplication.
Add up all the sides is one way I think and then try to find the volume like add them all up then divide them by 2