Step-by-step explanation:
Answer:
The value 4.5 is rational and the value 15−−√ is irrational. The sum of 4.5 and 15−−√ has a non-repeating and non-terminating decimal expansion. Therefore, the sum of 4.5 and 15−−√ is irrational. I can't explan but that's the correct Answer
Answer:
For 99% of confidence interval is 67.5±1.3524
Step-by-step explanation:
Given:
Mean height =67.5 inches
Standard deviation:2.1 inches
Z at 99%.
No of samples 16.
To find:
confidence interval
Solution:
We have formula for confidence interval,
=mean ±Z*{standard deviation/sqrt(no.of observation)}
Now
Z=99%
has standard value as ,
Z=2.576
Confidence interval= mean±Z{standard deviation/sqrt(No. of samples)}
=67.5±2.57{(2.1/sqrt(16)}
=67.5±2.576(2.1/4)
=67.5±1.3524
Answer:
The answer is
<h2>
</h2>
Step-by-step explanation:
To find the percentage increase we use the formula
<h3>
</h3>
From the question
The original value = 12
To find the change we subtract the smaller value from the larger one
That's
Change = 20 - 12 = 8
So the percentage increase is
<h3>
</h3>
We have the final answer as
to the nearest whole number
Hope this helps you
Answer:
A
Step-by-step explanation:
how long is the ball in the air ?
that is the same as asking : after how many seconds will the ball hit the ground (= reach the height of 0) ?
so, that means we need to find the zero solution of h(t).
at what t is h(t) = 0 ?
when at least one of the factors is 0 :
2(-2 - 4t)(2t - 5)
we have 3 factors
2 : can never be 0.
(-2 -4t) : can only be 0 for negative t, which does not make sense in our scenario (we cannot go back in time, only forward).
(2t - 5) : is 0 when 2t = 5 or t = 2.5
so, A is the right answer.
FYI : the starting height (on the hill) is given by t = 0 :
2(-2 - 0)(0 - 5) = 2×-2×-5 = 20 ft
