Answer:
x≈ 3.2056
Step-by-step explanation:
Set both sides by log. Then, solve for x.
1. 14^(x + 1) = 36
(x + 1)log(14) = log(36)
x + 1 = log(36)/log(14) . . . Divide both sides by log(14)
x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.
x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.
Note that the second problem is similar to the first.
2. 12^(y - 2) = 20
(y - 2)log(12) = log(20)
y - 2 = log(20)/log(12)
y = log(20)/log(12) + 2
y ≈ 3.2056
Answer:
1. 7
Step-by-step explanation:
<span>P (-0.24 < z < 0.67)
is equal to
P(z<0.67) - P(z<-0.24)
From Normal tables,
</span>P(z<0.67) - P(z<-0.24)
=P(z<0.67) - P(z<-0.24)
=0.7485711-0.4051651
=0.343406
7 is greater because it’s a positive and above 0, -7 is under 0 which is considered a negative
