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:
A and B
Step-by-step explanation:
The remaining number of flires that Linda still not posted is 40.
According to the given question.
The total number of fliers Linda have = 84
Fraction of fliers Linda posted = 1/3
And, fraction of fliers Linda posted second time from the remaning fliers = 2/7
Now,
1/3 of 84 fliers = 1/3 × 84 = 28
So, the number of fliers are left with Linda after first posting = 84 - 28 = 56
Again she posted 2/7 fliers. The number of flires Linda posted second time is given by
⇒ 2/7 × 56 = 16
Thereore, the number of fliers that Lindna still not posted = 56 - 16 = 40
Hence, Linda still not posted 40 fliers.
Find out more information about fraction and remaining numbers here:
brainly.com/question/2254581
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Answer:
The slope is 1/2
Step-by-step explanation:
Hi!
Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.
First, you plot the two coordinates on the graph:
(0,0) and (2,1)
The formula for slope is 
Now we plug in numbers accordingly:

Simplify:

Simplify:

Let me know if you have any questions