Answer:
y
=
−
√
4
x
+
19
Step-by-step explanation:
we know that
the volume of a rectangular prism is equal to

where
L is the length of the box
W is the width of the box
H is is the height of the box
in this problem we have




<u>Find the length of the box</u>
Using a graph tool-------> we will determine the roots of the equation of volume
see the attached figure
the roots are

so

therefore
<u>the answer is</u>
the length of the box is equal to 
Answer:
D
Step-by-step explanation:
I think I'm not sure about that
Answer:
b. It will decrease by a factor of 2
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The lower end of the interval is given by:

The upper end of the interval is given by:

The length of the interval is the subtraction of the upper end by the lower end, so it is:

This means that the length is inverse proportional to the square root of the size of the sample.
So, if the sample size is multiplied by 4, the length of the interval is going to decrease by a factor of 2.
Answer:
volume of sphere =4/3πr^3=4/3*22/7*6*6*6=905.14m^3