Here is my process for solving this.
First I drew arrows that indicated I was moving the whole triangle 5 units to the left.
*Look at first attachment*
Then I drew another triangle using those new points. (The new triangle is in pink)
*Look at second attachment*
Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)
*Look at third attachment*
Then I drew the new triangle in blue using the new points.
*Look at fourth attachment*
Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.
*Look at fifth attachment*
The fifth attachment in green is the final product! Hope that helps.
<u>Answer- </u>
In tossing four fair dice, the probability of getting at most one 3 is 0.86.
<u>Solution-</u>
The probability of getting at most one 3 is, either getting zero 3 or only one 3.
( ∵ xxxx )
( ∵ 3xxx, x3xx, xx3x, xxx3 )
P(Atmost one 3) = P(A) + P(B) = 0.48 + 0.38 = 0.86
Answer:
$12,003.25.
Step-by-step explanation:
The boat's values after each year is $14,000 * (100-5)%, so
the equation is A = 14000(0.95)^3
= $12,003.25.
You know two lines y=ax+b and y=mx+n that are perpendicular, so we have the product a*m=-1
+ This line is perpendicular to y=13x-5, so it has equation: y=-1/13x+b
+ And it passes through the point (3;1), so we have x=3, y=1. So 1=-1/13 *3+b
and b= 1+3/13= 16/13
And we have y=-1/13x+16/13
Have fun
Answer:
B. $5.08
Step-by-step explanation:
First find out how much the supermarket pays per dozen of eggs.
$8.00 / 12 dozen cartons per case = $0.66666
It costs the supermarket approximately $0.67 per dozen
Next find out the profit per dozen of eggs sold
$1.09 store price - $0.67 price store pays = $0.42
The supermarket profits about $0.42 per dozen sold
Finally find out the profit per case of eggs
12 dozen cartons * $0.42 profit per carton = $5.04
The supermarket makes about $5.04 per case so the best answer of the choices would be B. $5.08.