Answer: z equals 0.60 minus 0.72 all over the square root of the quantity 0.72 times 0.28 over 80
Step-by-step explanation:
let p be the population proportion of students complete their homework on a daily basis.
As per given , we have
p= 0.72
sample size : n= 80
Sample proportion : 
Test statistic for proportion:

i.e.

i.e.

That is , z equals 0.60 minus 0.72 all over the square root of the quantity 0.72 times 0.28 over 80
Answer:
3 : 7
7 : 3
Step-by-step explanation:
you have 3 shovels for every 7 buckets
the ratio of buckets to shouvels is 7 to 3
Answer:
R(2, 4)
Step-by-step explanation:
The general equation for a circle centered at (h,k) with radius, R, is
(x-h)^2 + (y-k)^2 = R^2
Putting the values in formula,
(x-6)^2 + (y-1)^2 = 5^2
Putting the coordinates (2, 4) of the answer B(2-6)^2 + (4-1)^2 = 25
(-4)^2 + 3^2 = 25
16 + 9 = 25
25 = 25
R.H.S = L.H.S
So according to the above solution,
B) R(2, 4), is the correct answer.
1/2 + 1/4 = 3/4
3/4 + 1/4 = 1
Answer:

Step-by-step explanation:
<u>Equation of a Circle</u>
A circle of radius r and centered on the point (h,k) can be expressed by the equation

We are given the equation of a circle as

Note we have corrected it by adding the square to the y. Simplify by 3

Complete squares and rearrange:



We can see that, if r=4, then

Or, equivalently

There are two solutions for
:

Keeping the positive solution, as required:
