A school principal had has his students vote for a new schiil mascot. One- sixth of the students voted for a falcon, 1/3 voted f
1 answer:
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Answer:
Step-by-step explanation:
We are given the function:
And that:
And we want to determine the value of <em>c</em>.
Recall that by definition of inverse functions:
So, since f⁻¹(5) = -1, then f(-1) = 5.
Substitute:
Simplify:
Combine like terms:
And divide. Hence:
In conclusion, the value of <em>c</em> is -2.
Answer:
95.64% probability that pledges are received within 40 days
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 pledges are received within 40 days
This is the pvalue of Z when X = 40. So
has a pvalue of 0.9564
95.64% probability that pledges are received within 40 days