Answer: One and fifty six thousandths
Step-by-step explanation:
The 1 represents one so that first the decimal point represents and so that’s second 56 represents the thousands place so it would be fifty six thousandths since it is on the right side of the decimal.
The volume of cube is 1000 cubic feet
<em><u>Solution:</u></em>
Given that,
<em><u>The volume of cube is given by formula:</u></em>

Where,
V is the volume of cube
"s" is the length of one side
<em><u>What is the volume of a cube if the length of a side s is 10 feet</u></em>
Given, s = 10 feet
<em><u>Substitute s = 10 in given formula,</u></em>

Thus volume of cube is 1000 cubic feet
Answer:
We need a sample of size at least 13.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

90% confidence interval: (0.438, 0.642).
The proportion estimate is the halfway point of these two bounds. So

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?
We need a sample of size at least n.
n is found when M = 0.08. So






Rounding up
We need a sample of size at least 13.
Answer:
C.
Step-by-step explanation:
You are given 3x-4y<16 and we want to see which of the ordered pairs is a solution.
These ordered pairs are assumed to be in the form (x,y).
A. (0,-4)
?
3x-4y<16 with (x=0,y=-4)
3(0)-4(-4)<16
0+16<16
16<16 is not true so (0,-4) is not a solution of the given inequality.
B. (4,-1)?
3x-4y<16 with (x=4,y=-1)
3(4)-4(-1)<16
12+4<16
16<16 is not true so (4,-1) is not a solution of the given inequality.
C. (-3,-3)?
3x-4y<16 with (x=-3,y=-3)
3(-3)-4(-3)<16
-9+12<16
3<16 is true so (-3,-3) is a solution to the given inequality.
D. (2,-3)?
3x-4y<16 with (x=2,y=-3)
3(2)-4(-3)<16
6+12<16
18<16 is false so (2,-3) is not a solution to the given inequality.
Answer:
Step-by-step explanation:
Let α be one of the zeros of the polynomial.
Other = 4α
α + 4α = - Coefficient of x / Coefficient of x² = -5/3
5α = -5/3
α = -5/3*5
α = -1/3
α * 4α = Constant term/Coefficient of x²
4α² = k / 3
