Please need help thank you so much
1 answer:
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Answer:
And we can find this probability using the complement rule and with the normal standard table or excel:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the average household spent of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and with the normal standard table or excel:
9514 1404 393
Answer:
P(x) = -1/2(x -3)²(x +3)
Step-by-step explanation:
When q is a root of the polynomial, (x-q) is a factor. This polynomial will be ...
P(x) = a(x -3)²(x +3)
For x=0, the y-intercept will be ...
P(0) = 27a = -13.5
Then the value of a is ...
a = -13.5/27 = -1/2
The formula for P(x) is ...
P(x) = -1/2(x -3)²(x +3) . . . . . . factored form
P(x) = -0.5x³ +1.5x² +4.5x -13.5 . . . . standard form
