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.
Answer:
In part B the answer is 71.
Step-by-step explanation:
In the 3 lines the 2 uppermost and downer most lines look like they make up a 90 degree angle.. since the first one is 19 all we have to do is 90 - 19 which equals 71. Sorry I do not know the answer to part A :(
Tn = a + (n-1)d
when n = 12, tn = 63
63 = a + (12-1)*5
a = 63 - 55 =8
tn or an
= 8 + (n-1) 5
= 3 + 5n
Hope this helps
Answer
A. O.8743874374387438743....
Step by step explanation
Let's take a = O.8743874374387438743....
10a = 8.743874374387438743....
Similiarly,
10000a = 8743.874374387438743....
Since four decimal places are repeating.
Now subtract a from 10000a
10000 a - a = 8743.874374387438743.... - O.8743874374387438743....
9999 a = 8743
a = 8743/9999
8743/9999 = O.8743874374387438743....
That's it.
Hope you will understand the concept.
Thank you.
