Answer:
a: 0.9544 9 within 8 units)
b: 0.9940
Step-by-step explanation:
We have µ = 300 and σ = 40. The sample size, n = 100.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.9544
Next we want the probability of the sample mean to be within 11 units of the population mean, so we want the values from 289 to 311. We want to find
P(289 < x < 311)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(289 < x < 311) = 0.9940
<u>Angie buys</u>
1 Software package + 3 months of game play.
Each software package costs = $20.
Let us assume cost of one month of game play = $x.
Therefore, total cost to Angie for 1 Software package + 3 months of game play = 20*1 + 3x = 20 +3x.
<u> Kenny buys </u>
1 software package + 2 months of game play.
Therefore, total cost to Kenny for 1 software package + 2 months of game play = 20*1 + 2*x = 20+2x.
Their total cost = $115.
Adding their costs and set it equal to 115, we get
<h3>20 +3x + 20+2x = 115.</h3>
Now, we need to solve it for x.
40 + 5x = 115.
5x = 115 - 40.
5x = 75.
Dividing both sides by 5, we get
x= 15.
<h3>Therefore, $15 is the total cost of one month of game play.</h3>
Answer:
[SHOWN IN IMAGE]
Step-by-step explanation:
I have done the simplifying work only... sorry
-5^3 = -125 hope this helps
Three more than the variable n.