Answer:
The coordinates of image are A'(-2,1), B'(1,0) and C'(-1,0).
Step-by-step explanation:
From the figure it is clear that the coordinates of triangle are A(0,0), B(1,3) and C(1,1).
∆ABC is translated 2 units down and 1 unit to the left.
Then it is rotated 90° clockwise about the origin to form ∆A′B′C′.
Therefore the coordinates of image are A'(-2,1), B'(1,0) and C'(-1,0).
What figure? anyways if it is a square you simply square root the area. EX: A=81 S=9
it it is a rectangle, you must know the other side before dividing
and so on
sorry I couldn't see the figure
This is a very long question. I'm not going to write all of it out but I will give you a starting point. Find your x by making y in the formula equal to 0.
2x + 3y = 1470
2x + 3(0) = 1470
2x = 1470
x = 735
Your furthest point on the x axis is (735,0).
Do the same for y.
2x + 3y = 1470.
2(0) + 3y = 1470
3y= 1470
y= 490
Your highest point is (0,490).
Now that both are plotted, draw a straight line connecting the two points. There's your graph.
Check
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.
Answer:
The correct answer is
(0.0128, 0.0532)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence interval 
, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of 
For this problem, we have that:
In a random sample of 300 circuits, 10 are defective. This means that 
and 
Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.
So 
= 0.05, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The correct answer is
(0.0128, 0.0532)
