The domain is all real numbers.
(−∞,∞)
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 .
Answer:
36
Step-by-step explanation:
If x = 2 and y = -3...
xy^2=
(2)(-3)^2 =
-6^2 =
36
xy times 2=
(-6)(2) =
-12
Because of the Vertical Angles theorem, we know that the two expressions are equal.
6x - 35 = 4x + 11
Add 35 to both sides: 6x = 4x + 46
Subtract 4x from both sides: 2x = 46
Divide by 2 on both sides: x = 23
Now, insert x into one of the equations: 6(23) - 35
138 + 35
103
103 + K = 180
Subtract 103 from both sides: K = 77
K = 77
Answer:
Step-by-step explanation:
Given
The dimension of the rectangular prism is
The volume of the prism is given by
Therefore, the volume of the prism is .