Answer:
8.25
Step-by-step explanation:
General Idea:
When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.
Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.
In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.
P(x, y) becomes
. We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.
Applying the concept:
The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.
Conclusion:
The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),
In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.
Carlos and Mike earn same amount for 10 hours of part time work
<em><u>Solution:</u></em>
Let "x" be the number of hours worked by Carlos and mike
Given that,
<em><u>Carlos earns $7.25 per hour plus a $10 bonus</u></em>
Thus, total amount earned by Carlos for "x" hours is given by:
total earned = 7.25(number of hours) + $ 10
total earned = 7.25x + 10 ----- eqn 1
<em><u>Mike earns $7.75 per hour plus a $5 bonus</u></em>
Thus, total amount earned by Mike for "x" hours is given by:
total earned = 7.75(number of hours) + $ 5
total earned = 7.75x + 5 ------- eqn 2
To find number of hours, they earn same amount, equate eqn 1 and eqn 2
7.25x + 10 = 7.75x + 5
7.75x - 7.25x = 10 - 5
0.5x = 5
x = 10
Thus for 10 hours, they earn the same amount
A) 
B)In 200 times he can hit 59 times !
<u>Step-by-step explanation:</u>
Here we have , A baseball player got a hit 19 times in his last 64 times at bat. We need to find the following :
a. What is the experimental probability that the player gets a hit in an at bat?
According to question ,
Favorable outcomes = 19
Total outcomes = 64
Probability = (Favorable outcomes)/(Total outcomes) i.e.
⇒ 
⇒ 
b. If the player comes up to bat 200 times in a season, about how many hits is he likely to get?
According to question , In 64 times he hit 19 times . In 1 time there's probability to hit 0.297 times! So ,In 200 times he can hit :
⇒ 
⇒ Hit = 59.36
Therefore , In 200 times he can hit 59 times !
I honestly don’t know I’m just trying to get my question answered