I don’t get this need help ASAP

) e number of viewers ordering a particular pay-per-view program is normally distributed. Past history shows that 33.00% of the

lubasha [3.4K]

Answer:

The mean of the number of people ordering the program is 22,046.5 and the standard deviation is 4,651.16.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Past history shows that 33.00% of the time fewer than 20,000 people order the program

This means that X = 20000 has a pvalue of 0.33. So when X = 20000, Z = -0.44.

$Z = \frac{X - \mu}{\sigma}$

$-0.44 = \frac{20000 - \mu}{\sigma}$

$20000 - \mu = -0.44\sigma$

$\mu = 20000 + 0.44\sigma$

Only ten percent of the time do more than 28,000 people order the program.

This means that X = 28000 has a pvalue of 1-0.1 = 0.9. So when X = 28000, Z = 1.28.

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{28000 - \mu}{\sigma}$

$28000 - \mu = 1.28\sigma$

$\mu = 28000 - 1.28\sigma$

Also

$\mu = 20000 + 0.44\sigma$

So

$20000 + 0.44\sigma = 28000 - 1.28\sigma$

$1.72\sigma = 8000$

$\sigma = \frac{8000}{1.72}$

$\sigma = 4651.16$

$\mu = 20000 + 0.44\sigma = 20000 + 0.44*4651.16 = 22046.5$

The mean of the number of people ordering the program is 22,046.5 and the standard deviation is 4,651.16.

6 0

3 years ago

R varies directly as s. Find r when s=4 and k=2

lesya692 [45]

$\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&& y={{ k }}x
\end{array}\\\\
-------------------------------\\\\
thus\implies r=ks\qquad 
\begin{cases}
k=2\\
\uparrow \\
constant\ of\\
variation\\
s=4
\end{cases}\implies r=2\cdot 4$

5 0

3 years ago

How to solve ×+6y=13. 2×+y=15

saul85 [17]

Answer:

x, y = 7, 1

Step-by-step explanation:

x+6y=13 ............ (i)

2x+y=15 ........... (ii)

We will apply substitute method.

From equation (i), we can get,

x+6y=13

or, x = 13 - 6y .......... (iii)

Putting the value of x in equation (ii), we can get,

2x+y=15

or, 2 × (13 - 6y) + y = 15

or, 26 - 12 y + y = 15 [multiplying]

or, -11 y = 15 - 26 [Subtracting 26 from both the sides]

or, -11 y = -11

or, [(-11 y) ÷ (-11)] = [(-11) ÷ (-11)] [Dividing both the sides by -11]

or, y = 1

Therefore, the value of y = 1

Putting y = 1 in equation (iii), we get,

x = 13 - 6y

or, x = 13 - 6 × 1

or, x = 13 - 6

or, x = 7

Therefore, the value of x = 7.

Answer: x, y = 7, 1

3 0

3 years ago

How to represent lengths in line plot math

Radda [10]

Use y=mx+b. This is for slope. If you're given a coordinate such as (3,2) think of "dibble and then shoot". Go right three and up two. Hope this helps :)

6 0

3 years ago

Two distinct coplanar lines that do not intersect are known as ____ lines.

madreJ [45]

Coplanar
do not intersect

answer is paralell lines

5 0

4 years ago

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