Answer:
First blank - A)Total Number of Possible Outcomes
Second blank - B)Number of Winners
Step-by-step explanation:
The exact question is as follows :
We know that,
Probability of an event is equals to Total number of Favorable outcomes divided by Total number of outcomes
So,
P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes
As we have to predict the Number of winners of a game
So,
P(Number of winner) = Number of winners ÷ Total number of Contestants
∴ we get
P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes
= Number of winners ÷ Total number of Contestants
<u>Answer</u>
9+√14
<u>Explanation</u>
To Rationalize the denominator of 5-√7/9-√14.
To rationalize this we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
Slope = (Y2 -Y1) ÷ (X2 -X1)
Slope = (1 -7) / (10 -1)
Slope = -6 / 9 = -0.6666666666666666
Answer:
n = 2
Step-by-step explanation:
1/2(n-4) - 3=3- (2n+3)
Expand the brackets.
1/2n-2-3=3-2n-3
Add or subtract the like terms.
1/2n-5=-2n
Add 2n and 5 on both sides.
1/2n+2n=5
Add like terms.
5/2n = 5
Multiply both sides by 2/5.
n = 5 × 2/5
n = 10/5
n = 2
Answer:
The answer is A
Step-by-step explanation:
10 × $500
2 × $600