Answer:
14 units
Step-by-step explanation:
We apply the <em>Theorem of reflection over parallel lines.</em>
Theorem: The composition of two reflections over parallel lines that are h units apart is the same as a translation of 2h units.
Given that the two parallel lines are 7 units apart
h=7 units
2h= 2 X 7 =14 units
Therefore, the preimage and the final image will be 14 units apart.
Answer:
$ 1.2
Step-by-step explanation:
The first thing is to define the expected value of the ticket that would be the sum of the value for all event probabilities.
That is, if you buy 1 ticket, for each participant the probabilities are:
1. 1/1000 to get a $ 1,200 item
2. 999/1000 to get nothing ($ 0).
That is to say:
(1/1000) * $ 1200 + (999/1000) * $ 0 = (1/1000) * $ 1200 = $ 1.2
Therefore, the expected value is $ 1.2, this means that in reality each participant pays $ 0.8 more than the ticket is worth
Answer:
13
Step-by-step explanation:
6+4=10
10+3
13
1 because 17-8=9, and 9/9= 1
Three times (3 times something) the difference of x and 2 (2-x) is greater than (>) -21 (-21)
3 times (2-x)>-21
3(2-x)>-21
distrobite using distributiver poerpoty
a(b+c)=ab+ac
3(2-x)=6+(-3x)=6-3x
6-3x>-21
add 3x to both sides
6>-21+3x
add 21 to both sides
27>3x
divide both sides by 3
9>x
x<9
so x= any number below 9 not including 9