To obtain an estimate of a parameter of a population, we use confidence intervals.
Confidence intervals:
The larger the sample size, the closest the parameter estimate is to the value of the population, as the margin of error of confidence intervals is inversely proportional to the sample size, that is, a greater sample leads to a smaller margin of error.
Thus, you should select the highest sample size in the options.
For more on confidence interval/margin of error, you can check brainly.com/question/22718960
Let's solve your equation step-by-step.<span><span><span>−w</span>+<span>4<span>(<span>w+3</span>)</span></span></span>=<span>−12</span></span>Step 1: Simplify both sides of the equation.<span><span><span>−w</span>+<span>4<span>(<span>w+3</span>)</span></span></span>=<span>−12</span></span><span>Simplify: (Show steps)</span><span><span><span>3w</span>+12</span>=<span>−12</span></span>Step 2: Subtract 12 from both sides.<span><span><span><span>3w</span>+12</span>−12</span>=<span><span>−12</span>−12</span></span><span><span>3w</span>=<span>−24</span></span>Step 3: Divide both sides by 3.<span><span><span>3w</span>3</span>=<span><span>−24</span>3</span></span><span>w=<span>−8</span></span>Answer:<span>w=<span>−<span>8</span></span></span>
JKL is similar to PQR
so they want PR
JK
L is similar to
PQ
R
So PR is similar to JL
And they also give us the sides KL and QR
J
KL is similar to P
QR
Both of those sides are similar, so we can form a proportion.

Plug in the numbers:

Cross multiply:

Isolate PR

Simplify it

So your final answer is
Answer:
x = 3, y = 4 and z = -5.
Step-by-step explanation:
Use the elimination method:
-3x + 2y + z = -6...........(1)
x + 3y + 2z = 5..............(2)
4x + 4y + 3z = 13..........(3)
Multiply the first equation by -2:
6x - 4y - 2z = 12 Add this to equation (2):
7x - y = 17...........(4)
Now Multiply equation (2) by 3 and equation (3) by -2
3x + 9y + 6z = 15 ............(5)
-8x - 8y - 6z = -26............(6) Adding (5) + (6):
-5x + y = -11..........(7)
Now Add (7) and (4):
2x = 6
x = 3.
Now substitute for x in (4):
7(3) - y = 17
-y = 17 - 21 = -4
y = 4.
Finally substitute for x and y in equation (3) to find z:
4(3) + 4(4) +3z = 13
3z = 13 - 12 - 16 = -15
z = -5.