Step-by-step explanation:
7a - 4b = 2b - 5a
7a + 5a = 2b + 4b
12a = 6b
a = 6b/12
a = b/2
Even numbers are numbers that can be divisible by 2, so in this case
28, 30, 32, 34, 36, 38
^ are even numbers because they can be divided by 2
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
She should add 48 ounces of of seltzer water because it will allow at least 10 servings. 32 ounces would only be enough to make 8.88 servings