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)
3)
82 + p >= 150
p>= 150 - 82
p>= 68
answer A.
4)
x/-10 > 6
x > -60
answer
x > -60
5)
5z >= - 75
z >= -75/5
z >= -15
answer
z >= -15
Answer:
12
Step-by-step explanation:
f(x)=x^+4x+2 First, let's evaluate when x=3, x=4 and x=5.
f(3) = 3²+4(3)+2 = 9 + 12 + 2 = 23
f(4) = 4²+4(4)+2 = 16 + 16 + 2 = 34
f(5) = 5²+4(5)+2 = 25 + 20 + 2 = 47
Now, let's find the rate of change.
34 - 23 = 11
47 - 34 = 13
Finally, the average rate of change.
(11 + 13) / 2 = 12
Just find the base area then multiply it by the height.
so here for the base area we can divide it in 2 parts 6x6 + 2x1
which the total is 38
then multiply 38 by 1, which is the height, so it's 38
Volume of a cube: V = s^3, where s is the length of the edge.
So, the sum of them will be 1^3 + 2^3 = 9
