Answer: 0.25
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Work Shown:
A = student selected is an eighth grader
B = chosen student takes bus
P(A) = probability of selecting eighth grader
P(A and B) = probability of selecting eighth grader AND student who takes bus
P(A and B) = probability of selecting eighth grader who takes the bus
P(B|A) = probability of selecting someone who takes the bus given they are an eighth grader
P(B|A) = [P(A and B)]/[P(A)]
P(B|A) = 0.11/0.44
P(B|A) = 0.25
-3log5x = -6 would equal
x = 25.
First, use the Power Rule:
(log b x
= c log b x
). Your problem should look like -log5 x³ = -6.
Second, multiply both sides by -1. Your problem should look like log5 x³ = 6. We removed the negative signs.
Third, use the Definition of Common Logarithms.
( b
= x if and only if logb(x) = a
). Your problem should look like x³ = 5
.
Fourth, simplify 5
to 15625. Your problem should look like x³ = 15625.
Fifth, take the cube root of both sides. Your problem should look like x = 3√15625.
Sixth, calculate your problem to get
x = 25 which is the answer.
Answer:
x=-3
Step-by-step explanation:
2x+4=x+1
-x -x
x+4=1
-4 -4
x=-3
Answer:
The other integer is less than -80
Step-by-step explanation:
The given sum of the two integers < -57
The value of one of the integers = 23
Let 'b' represent the value of the other integer, we are given;
b + 23 < -57
Therefore, we have;
b < -57 - 23 = -80
Therefore, the other integer, b < -80.