Answer:
B. Stratified sampling, because there are specific subgroups to investigate.
Step-by-step explanation:
Stratified Sampling is a sampling method and is used when the population has subgroups with different characteristics. Random sampling is applied in each of the sub-groups <em>proportional </em>to their size and then these samples <em>combined </em>together to create sample of the study.
Since there are three towns with people from different occupations ( retirees,business owners, office workers), it is better to use stratified sampling method.
Answer:
m = -7/2
Step-by-step explanation:
(y2-y1) / (x2-x1)
->
(-5 - 2) / ( -1 -3)
= -7/2
hope that helps :D
Answer:
3.4 - 2.8d + 2.8d - 1.3 = 2.1
Step-by-step explanation:
The given expression is 3.4 -2.8d + 2.8d -1.3
Let's see the definition of like terms.
Like terms are the terms having the same variable and the same exponents.
Examples: -3xy, 2xy and 4y, 5y and -3, 2.
Now let's identify the like terms from the given expression.
3.4 -2.8d + 2.8d -1.3
Here the like terms are -2.8d, +2.8d and 3.4, -1.3
3.4 -2.8d + 2.8d -1.3
= -2.8d + 2.8d + 3.4 - 1.3 [-2.8d + 2.8d = 0] and 3.4 -1.3 = 2.1
= 0 + 2.1
=2.1
The answer is 2.1
Answer:
1. -4
2. 6
3. -6
(i hope this is right •_•)
Step-by-step explanation:
<u>First table</u>
When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.
<u>Second table</u>
For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;
So, the formula for calculating slope is 
. I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.
And simplify...
So, your slope is -1. We can use that. We just have to count down.
If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.
<u>Third table</u>
Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.
Let's count down....
If x = 3, y = -5
If x = 2, y = -5 1/3
If x = 1, y = -5 2/3
If x = 0, y = -6
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:
LO/LP = LM/LN
22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
</span>
Cross-multiplying:
30x + 360 = 22x + 374
Isolating x to one side of the equation by subtracting 22x and 360 from both sides:
30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75
Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75
Therefore the value of LP is 13.75 in.
