Answer:
the number that is greater than or less than
Answer: i think A
Step-by-step explanation:
Answer: 0.3413
Step-by-step explanation:
Given: an American household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds.
Let
.
Let x be the random variable that denotes the amount of newspaper for garbage generated by each household each month.
If the data conforms to a normal distribution and a household is selected at random, the probability of its generating between 28 and 30 pounds per month is about
![P(28](https://tex.z-dn.net/?f=P%2828%3Cx%3C30%29%3DP%28%5Cdfrac%7B28-28%7D%7B2%7D%3C%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3C%5Cdfrac%7B30-28%7D%7B2%7D%29%5C%5C%5C%5C%3DP%280%3Cz%3C1%29%5C%20%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%20%3DP%28z%3C1%29-P%28z%3C0%29%5C%5C%5C%5C%3D0.8413-0.5%3D0.3413)
Hence, the required probability is 0.3413.
Answer:
Step-by-step explanation:
<u>Given:</u>
- f(x) = - x² - 1
- g(x) = x + 5
<u>Find f(g(x)):</u>
- f(g(x)) =
- f(x + 5) =
- - (x + 5)² - 1 =
- - x² - 10x - 25 - 1 =
- - x² - 10x - 26