Answer:
y = 4x - 3
Step-by-step explanation:
I graphed all of them and this was the only equation that had a slope of 4 and passes through point (2,5)
Answer:
Our answer is 0.8172
Step-by-step explanation:
P(doubles on a single roll of pair of dice) =(6/36) =1/6
therefore P(in 3 rolls of pair of dice at least one doubles)=1-P(none of roll shows a double)
=1-(1-1/6)3 =91/216
for 12 players this follows binomial distribution with parameter n=12 and p=91/216
probability that at least 4 of the players will get “doubles” at least once =P(X>=4)
=1-(P(X<=3)
=1-((₁₂ C0)×(91/216)⁰(125/216)¹²+(₁₂ C1)×(91/216)¹(125/216)¹¹+(₁₂ C2)×(91/216)²(125/216)¹⁰+(₁₂ C3)×(91/216)³(125/216)⁹)
=1-0.1828
=0.8172
Answer:
Linda: 3 ; Laura: 15
Step-by-step explanation:
Note that Linda + Laura's age is 18, and that Linda is 12 years younger than her sister.
Let "Linda" = x , "Laura" = y:
x + y = 18
x = y - 12
First, plug in y - 12 for x in the first equation:
(y - 12) + y = 18
Simplify.
2y - 12 = 18
Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First add, then divide.
2y - 12 (+12) = 18 (+12)
2y = 18 + 12
2y = 30
(2y)/2 = (30)/2
y = 30/2
y = 15
Next, plug in 15 for y in the second equation (the other equation would work too).
x = y - 12
x = (15) - 12
x = 3
Linda's age is 3, Laura's age is 15.
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