For part a: you just need to find how far the vertex has been moved from the origin, or the point (0,0). As the vertex is at the point (2,-3), it has been translated right 2 horizontally and down 3 vertically.
For part b: you use the info found in part a to create the equation in the form of y=A(x-h)^2+k. In this case, A =1, so you can ignore it. The h value is the horizontal distance the vertex has been moved. Since it has been moved right 2, this part of the equation would be (x-2). I know it seems like it should be plus 2, but values in parentheses come out opposite. For the k value, find the vertical shift, which is down3, or -3.
Now that you have h and k, substitute them back into the equation.
Your final answer for part b is: y=(x-2)^2 -3.
Answer:
Third quartile (Q3) = $14.3325
Step-by-step explanation:
Given:
Stock varies = $11.82 to $15.17
Find:
Third quartile (Q3) ,(75%)
Computation:
[Q3 - 11.82] / [15.17 - 11.82] = 0.75
[Q3 - 11.82] / [3.35] = 0.75
[Q3 - 11.82] = 2.5125
Q3 = 2.5125 + 11.82
Q3 = $14.3325
Third quartile (Q3) = $14.3325
A.) If Lucy sells 1 necklace, her sales would equal to $15.99. Then her profit would be:
Profit = $15.99 - $3.38(1) - $5.57(1)
Profit = $7.04
The fraction of the sale price of the necklace in profit is denoted as x.
15.99x = 7.04
x = 704/1559
b.) This is the same as part (a) but in decimal form. Just simply divide 704 by 1559. The answer is 0.44
c.) If Lucy's sales is $223.86 and each necklace costs $15.99, then the number of necklaces sold is $223.86 ÷ $15.99/necklace = 14 necklaces
Her profit for the 14 necklaces sold would be:
$223.86 - $3.38(14) - $5.57(14) = $98.56
The expected completion time of this project from now is 2.5 months.
Step-by-step explanation:
To find the expected completion time for the project, we multiply each projection by it's probability.
We have that:
0.4 = 40% probability it takes 2 months to complete the project.
0.3 = 30% probability that it takes 2.5 months to complete the project.
0.2 = 20% probability it takes 3 months to complete the project.
0.1 = 10% probability it takes 3.5 months to complete the project.
What is the expected completion time (in months) of this project from now?
E = 0.4*2 + 0.3*2.5 + 0.2*3 + 0.1*3.5 = 2.5
The expected completion time of this project from now is 2.5 months
Answer is Rs 910 hope it helps you