Answer:
Vertex= (0,4)
Domain= x: all real number
Range: ( - ∞, 4] or y ≤ 4
<u>OAmalOHopeO</u>
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Hope you had a good Thanksgiving break, and I hope this helps.
Answer:
83.85%
Step-by-step explanation:
We will use the empirical rule. For a standard normal distribution the mean is equal to 0 and the standard deviation is equal to 1. Then, between 3 standard deviations below the mean, we have 2.35% + 13.5% + 34% = 49.85% of data, and 1 standard deviation above the mean we have 34% of data. Therefore, the percentage of data that are between 3 standard deviations below the mean and 1 standard deviation above the mean is 49.85%+34% = 83.85%.
Answer:
21
Step-by-step explanation:
I wil call the length l and the width w in the following. We are given these informations:
The area of the rectangle is 105. That means l * w = 105. (1)
The length is 16 inches longer that the width. That means l = w + 16. (2)
If we plug the information we get from (2) into the equation (1), we get:
(w + 16) * w = 105
Simplify and you get
w² + 16 w - 105 = 0
With the the quadratic formula we get the results w = 5 and w = -21. The negative result doesn't make sense for our task, we are only interested in positive length and width :).
If we now plug w = 5 back into our infromation (2), we get:
l = 5 + 16 = 21
(To confirm the result plug w = 5 and l = 21 into (1))