^^^^^^^^^^^^^^^^^^^^
2 answers:
<u>Answer:</u>
The correct answer option is B. 21.
<u>Step-by-step explanation:</u>
We are given a figure where the line KL is intersecting another line MN such that angle from K to N is equal to the angle opposing it which is the angle measuring .
Measure of angle K - N = 90° + 15° = 105°
Since angle K - N = angle M - L, we can write it as:
105° = 5x
x = 105/5
x = 21
Therefore, the correct answer option is B. 21.
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Answer:
Probability that next week's show will have between 30 and 37 million viewers is 0.2248.
Step-by-step explanation:
We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.
<em>Let X = number of viewers for the American Idol television show</em>
So, X ~ N()
Now, the z score probability distribution is given by;
Z = ~ N(0,1)
where, = population mean = 26 million
= standard deviation = 8 million
So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X 30)
P(X < 37) = P( <
) = P(Z < 1.38) = 0.91621
P(X 30) = P(
) = P(Z
0.50) = 0.69146
<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>
Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.