Can someone help me on this problem?
2 answers:
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Answer:
max is (3, 1) and min are (2, 0) and (4, 0)
Step-by-step explanation:
Since there is no bounds on this (not a closed interval), the only max and min we can find are local. The max and min points exist where the first derivative of the function is equal to 0. That means that we have to find the first derivative. That is:
If you factor this higher-degree polynomial (I used the Rational Root Theorem and then synthetic division), you find that the zeros of the derivative exist at the x values of
2, 3, 4
Therefore, f(2), f(3), and f(4) will either be max values or min values.
f(2) = 0 so the point is (2, 0)
f(3) = 1 so the point is (3, 1)
f(4) = 0 so the point is (4, 0)
As you can see, the max point is (3, 1)
the min points are (2, 0) and (4, 0)
Answer:
a) 0.7734
Step-by-step explanation:
Problems of normal distributions 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 question, we have that:
(a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ?
This is 1 subtracted by the pvalue of Z when X = 83. So
has a pvalue of 0.2266
1 - 0.2266 = 0.7734
The answer is 0.7734