Answer:

Step-by-step explanation:
The probability of matching the number drawn on the gold ball is

The number of possible pairs of numbers from 1 to 53 is

Choosing 5 numbers, you are choosing 10 different pairs:

Therefore the probability of correctly matching the drawn pair is

Thus, the probability of winning (matching the pair AND the gold ball) is

Answer: 49
Step-by-step explanation:
a=1 ,b=14, c=?
b^2-4ac =0
(14)^2-4(1)(c)=0
196-4c=0
196=4c
c=49
Check:
(x)^2+2(x)(7)+(7)^2
x^2+14x+49
(x+7)^2
856896858765878567575697056785609759867890568765097685
0.85x=200
then x=200/0.85 (u can write 0.85 to 85/100) fraction decimal form
x=4000/17
solve it
7/6x=140
1/x=20*6
1/x=120
x=1/120
Answer:
H' = (-5, 0)
I' = (6, -3)
Step-by-step explanation:
Since you are reflecting the line segment across the y- axis, the rule would be (x, y) ---> (-x, y). So, applying the rule to H first, all you would need to do is change the sign of positive 5 to -5. And since the rule doesn't have the y- value change, it will stay the same as 0. So H' = (-5, 0)
Then onto I', you would apply the same rule to just the x- value, since according to the rule, the y-value doesn't get changed. So that would be turning -6 into a positive 6, this is because a negative × a negative = a positive.