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:
C
Step-by-step explanation:
It is stating that it is 15 less(-15) than the Product of 3 and some number(3n)
The property shown is a B: substitution property, this is when you you the know that X=Y so X can be substituted in any equation with Y and Y can be substituted in any equation with X. hope this helps
Answer:
Step-by-step explanation:
The negative in front of the parenthesis changes the signs of the numbers and variables inside the parenthesis. We can rewrite as
4 - x - 1 = 6 and
3 - x = 6 so
- x = 3 and
x = -3
Since h represents the height of the ball at any given time, t, let h = 25, such that the ball will be 25m high at t.
Now, we have 25 = 20t - 5t²
5t² - 20t + 25 = 0
t² - 4t + 5 = 0
Since the discriminant is less than zero, there are no solutions.
Hence, the ball will never be 25m high.
