We have a line y = 1/3x -6
We want a line that is perpendicular to this line
Perpendicular lines have slopes that multiply to -1
1/3 * m = -1
3 * 1/3 *m = -1 * 3
m = -3
The slope of the perpendicular line is -3
y = mx+b where m is the slope and b is the y intercept
y = -3x+b
We have a point on the line ( 7 ,-23)
Substitute this point into the equation
-23 = -3(7)+b
-23 = -21+b
Add 21 to each side
-23+21 = -21+21+b
-2 = b
y = -3x-2
In slope intercept form, the line perpendicular passing through (7,-23) is
y = -3x-2
Answer:
Stratified Random sampling
Step-by-step explanation:
When a random observations are selected from a number of individual groups in a particular population, the type of sampling technique is called Stratified Random sampling. Stratified Random sampling begins with the partitioning or splitting or a population into subgroups. A number of random selection are then made from each of the subgroups to form a collection of larger samples. This is different from the simple random sampling technique which makes random selection directly from a larger sample or population without prior partitioning of the population. The different grades of students represents the individual stratum from which random selections are made.
Answer:
x + 3
Step-by-step explanation:
A 'sum' means addition, 'a number' is represented by a variable, in this case, I chose 'x'. I could have picked any variable I wanted.
The sum of three and a number means: three plus some number, which is
3 + x in math language. We write variables before constants, so it gets
rewritten as x + 3
(1-z) can combine with other coupons
N + 32 = 60
First, so basically, we are trying to find a number that can add up with 32 to equal 60. The easiest route to solve this is to simply take 32 and subtract it from 60.
Second, once we subtract, we will be given the answer and know what 'n' is. Subtract 60 - 32 to get your answer. 60 - 32 = 28
Third, know that we know that the answer to 'n' is 28, we can check it by adding 28 + 32. Your answer should be 60, and 28 is the correct answer.
Answer:
