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Let be the measure of the angle in question. Its complement has measure . We're told that this angle is congruent to 1/3 of its complement, so that
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:
4.97
Step-by-step explanation:
h(x) = -3x² + 5
h(0.1)
x = 0.1
h(0.1) = -3(0.1)² + 5
0.1² = 0.01
-3(0.01) + 5
-3(0.01) = -0.03
-0.03 + 5 = 4.97
Consider, pls, this option (see the attachment) of 3 steps.