Answer:
Probability of sum of pips on two faces is at least 9 =
Step-by-step explanation:
Experiment: Throwing two fair dice.
Total no of Outcome = = 36
Sample space (list of outcome) is attached.
Let E be the event that sum of pips on two faces is at least 9.
Favorable outcome are where sum is 9 , 10 , 11 and 12.
From Sample space, No. of Favorable outcome = 10
∴
We don't need to graph the line. All we have to do is use our slope formula.
Answer is provided in the image attached.
The side AB is equal to the side DE. Then the value of x is 6.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle ABC is congruent to triangle DEF.
If DE = 41, EF = 23, DF = 36, and AB = 8x − 7.
Then the side AB is equal to the side DE.
AB = DE
8x - 7 = 41
8x = 48
x = 6
Then the value of x is 6.
More about the triangle link is given below.
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Answer
Find out how many months will it take for Jeff to weigh the same as Darius .
To prove
As given
Jeff and Darius are trying to gain weight for the football team.
Jeff weighs 120 pounds and is gaining ten pounds per month.
Darius weighs 150 pounds and is gaining 4 pounds per month.
m = represented the number of months will taken by the Jeff to weigh the same as Darius .
Than the equation become in the form
120 + 10m = 150 +4m
150 - 120 = 10m - 4m
30 = 6m
m = 5 months
Therefore in 5 months will it take for Jeff to weigh the same as Darius.