Answer:
Between 12.614 years and 16.386 years
Step-by-step explanation:
Given that:
Mean age (μ) = 14.5 years, standard deviation (σ) = 4.6 years, number o sample (n) and the confidence interval (c) = 90% = 0,9
α = 1 -c = 1 -0.9 = 0.1

The z score of
is the same as the z score of 0.45 (0.5 - 0.05). This can be gotten from the probability distribution table. Therefore:

The margin of error (e) =
= 
The interval = μ ± e = 14.5 ± 1.886 = (12.614 ,16.386)
Answer:
Step-by-step explanation:
we have

This is the equation of a vertical parabola open downward
The vertex represent a maximum
Convert the quadratic equation into vertex form
step 1
Factor -2

step 2
Complete the square


step 3
Rewrite as perfect squares
----> equation in vertex form
The vertex is the point (1,5)
Answer:
308.647
Step-by-step explanation:
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$1100 x 1.021^7 = $1272 (whole number.)
the $1100 is the original amount of money put in the bank with the 1.021 being the interest rate. this was put to the power of 7 to represent the years the money will be in the account.