ANSWER:
A. 32 - 3x
This is as the sum of 7 and 25 is 32 so:
7 + 25 = 32
As well as 4x subtracted by 7x being - 3x so:
4x - 7x = - 3x
When we combine this together, we get:
= 32 - 3x
Therefore, Option A must be the answer.
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Answer:
(21,5)
Step-by-step explanation:
To find the slope that passes through the points (7,5) and (21,15) , we use the formula
m = (y2-y1)/ (x2-x1)
= (15-5)/(21-7)
= 10/14
=5/7
We want a slope that is 1/3 this slope so we will multiply by 1/3
5/7 * 1/3= 5/21
We know the slope and one point (0,0) we can use the same formula to figure out x and y
m = (y2-y1)/ (x2-x1)
5/21 = (y2-0)/ (x2-0)
Let the tops be equal and the bottoms be equal
5 = y2-0
5 =y2
and the bottoms
21 = x2-0
21= x2
We have the point
(21,5)
Answer:
Option D) Yes, he made an error. Because he was seeking the probability that his home runs traveled at least 385 feet, he looked up −0.46 and failed to subtract the probability from 1. The correct probability is 0.6772.
Step-by-step explanation:
We are given that Evan's home run hitting distance is normally distributed with a mean of 398 feet and a standard deviation of 28 feet i.e. = 398 feet and = 28 feet.
Also, He wanted to find the probability that his home runs traveled at least 385 feet. He calculated the z-score to be −0.46 and looked up the probability on the Standard Normal Probabilities table. He found that the table stated his probability as 0.3228 .
The probability he stated is wrong because as we know that probability that his home runs traveled at least 385 feet is given by P(X >= 385 feet) ;
where, X = home run is being hit
Z = ~ N(0,1)
P(X >= 385) = P( >= ) = P(Z >= -0.46) = P(Z <= 0.46) = 0.6772.
When looking at the z table we find that at 0.46 critical value of x, the probability area is 0.6772 .
20 1/2? So, 20.5? If so, it's 21. If it's lower, it's just 20.