PLEASE HELP ON THESE 2
1 answer:
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Answer:
see attached
Step-by-step explanation:
Rotation 270° counterclockwise is equivalent to rotation 90° clockwise. The transformation of coordinates is ...
(x, y) ⇒ (y, -x) . . . . . . . rotation 270° CCW
This means the points are moved to ...
A(-2, 1) ⇒ A'(1, 2)
B( 1, 2) ⇒ B'(2, -1)
C(-2, 4) ⇒ C'(4, 2)
The rotated triangle is shown in the attachment. You may notice that A' and B are the same point.
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.