Part (a)
The raw score is x = 25. The mean and standard deviation are mu = 45 and sigma = 13.8 respectively.
The z score is computed with the formula below
z = (x-mu)/sigma
z = (25-45)/13.8
z = -1.449275 approximately
z = -1.45 is the final answer
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Part (b)
We want the z score to be larger than 2. So z > 2.
This is the same as wanting the expression (x-mu)/sigma to be larger than 2
(x-mu)/sigma > 2
(x-45)/13.8 > 2
x-45 > 2*13.8
x-45 > 27.6
x > 27.6+45
x > 72.6
If a customer's age is greater than 72.6 years, then this means they have a z score greater than 2. We can say they are more than 2 standard deviations above the mean.
If you need a whole number, then I'd round up to 73. Or you could pick any age larger than this.
Answer:
when you write a check, you're subtracting the amount of money from your bank account
Step-by-step explanation:
the person you're writing the check to will receive, thus making you "loose" money
Answer:
Considering the prediction of people who will fill out the form and receive the refund, the company should expect its net profit to drop to:
- <u>$174.6 per computer tablet</u>.
Step-by-step explanation:
The benefit per tablet before the rebate program is $180 per computer tablet, however, once the rebate program is implemented, 18% of people who purchase their computer tablet are expected to complete the form and obtain the VISA card, which would reduce the benefit as shown below:
- 18% benefit from computer tablets = original benefit - refund value.
- 18% benefit from computer tablets = $180 - $30 = $150
With this we identify that 18% of computer tablets will have a benefit reduced to $150, however, as the remaining percentage of tablets (82%) will still have the benefit of $180, the general benefit must be calculated to have a single value, as it's shown in the following:
- Overall benefit = Percentage of tablets with reimbursement * Benefit of tablets with reimbursement + Percentage of tablets without reimbursement * Benefit of tablets without reimbursement.
- General profit = 18% * 150 + 82% * 180
- <u>General profit = $ 174.6
</u>
By having a $ 30 rebate on 18% of the tablets, the overall benefit drops to $174.6.
The equation of the value of the car over a year is 2357.14x + y = 33,000. Then the value of the car 4 years after it was purchased is $23571.43.
<h3>What is the linear system?</h3>
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A new car is purchased for $33,000 and overtime its value depreciates by one half every 7 years.
Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (7, $16,500). Then we have
Let y be the value of the car and x be the number of years. Then we have
![\rm y \ - \ 33000 \ \ = -\dfrac{16,500}{7} (x-0)\\\\y+2357.14x = 33000](https://tex.z-dn.net/?f=%5Crm%20y%20%5C%20%20%20-%20%5C%20%2033000%20%5C%20%5C%20%3D%20-%5Cdfrac%7B16%2C500%7D%7B7%7D%20%28x-0%29%5C%5C%5C%5Cy%2B2357.14x%20%3D%2033000)
Then the value of the car 4 years after it was purchased, to the nearest hundred dollars will be
![\begin{aligned} \rm y +2,357.14 \times 4 &= 33,000\\\\\rm y + 9,428.57 &= 33,000\\\\\rm y &= 23,571.43 \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5Crm%20y%20%2B2%2C357.14%20%5Ctimes%204%20%26%3D%2033%2C000%5C%5C%5C%5C%5Crm%20y%20%2B%209%2C428.57%20%26%3D%2033%2C000%5C%5C%5C%5C%5Crm%20y%20%26%3D%2023%2C571.43%20%5Cend%7Baligned%7D)
More about the linear system link is given below.
brainly.com/question/20379472
#SPJ1
Answer:
38°
Step-by-step explanation:
All triangles have a sum of 180°
180 - (119 + 23) = missing angle
180 - (142) = missing angle
38 = missing angle
So, the missing angle has a measurement of 38°