Answer:
see explanation
Step-by-step explanation:
Given the width is 
of the length, then
y - 4 = (2y + 6)
Multiply through by 3 to clear the fraction
3y - 12 = 2y + 6 ( subtract 2y from both sides )
y - 12 = 6 ( add 12 to both sides )
y = 18
Thus
length = 2y + 6 = 2(18) + 6 = 36 + 6 = 42 in
width = y - 4 = 18 - 4 = 14 in
Answer:
Stratified sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.
Answer: T = 4
Step-by-step explanation:
1. Write all the variables down
P = 8 V = 2X N = 2 R = 2X X = 3
2. Since you know that X = 3 substitute it in to find V and R
V = 2X = 2(3) = 6
R = 2X = 2(3) = 6
3. Find PV
PV = P x V
= 8 x 6
= 48
4. Find NRT
NRT = N x R x T
= 2 x 6 x T
= 12 x T
= 12T
5. Find T
PV = NRT
48 = 12T
12T = 48
divide both sides by 12
T = 48 ÷ 12
T = 4
Answer:
98
Step-by-step explanation:
Integers are whole numbers or opposite of whole numbers.
The slope is 1.
How?
Change of y is 100-1=99.
Change of x is 100-1=99.
The slope is 99/99=1 or 1/1.
So if we start at (1,1) and we rise 1 and run 1 right, we get (2,2).
If we do that again from (2,2) we get (3,3).
Following the pattern of going up 1 and right from each new location discovered we get all the of these points:
Start (1,1)
(2,2)
(3,3)
(4,4)
(5,5)
(6,6)
....
(96,96)
(97,97)
(98,98)
(99,99)
end (100,100)
So we just need to count all the numbers from 2 to 99.
99-2+1
97+1
98
