The curve through the ordered pairs (0,10), (1,5), (2,2.5) can be represented by the function f(x)= 10(0.5)^x. What is the multi
1 answer:
Answer:
0.5
Step-by-step explanation:
The function is represented as y = f(x) =
Now, it is clear from the function given above that, for x = 0, y = f(x) = 10, and for x=1, f(x) = 5, and for x=2, f(x) = 2.5.
Therefore, the value of f(x) is multiplied each time by 0.5 for each unit increase in the value of x.
So, the multiplicative rate of change of the function is 0.5. (Answer)
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Answer:
The probability that the student's IQ is at least 140 points is of 55.17%.
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:
University A:
a) Select a student at random from university A. Find the probability that the student's IQ is at least 140 points.
This is 1 subtracted by the pvalue of Z when X = 140. So
has a pvalue of 0.4483.
1 - 0.4483 = 0.5517
The probability that the student's IQ is at least 140 points is of 55.17%.