Answer:
1
2
x−
1
3
≥−
1
6
or
2
7
x≤
1
10
Step-by-step explanation:
Okay, so I'm gonna start by multiplying both sides Fire lt to get rid of our, um, faction. So we have six year and 70 here we get three X minus two is much is greater than or equal to negative one. Okay. Or, um, 20 acts is less iniquity. Seven. Okay, so it's to to both sides here. So we get three x is gooder than or equal to one, and then X must be greater than or equal to 1/3. And then for here we have X must be less than or equal to 7/20. Okay, so let's go to Paula. So which one is greater than the other one? Over three is 1.33 and then 7/20 is point to be five. So we see that 7/20 is larger than from one over tree. Okay, so we want X to be greater than or equal to one over. So we're including 1/3, and we want to be greater than so we're going off to infinity. And then we have exes, Dustin, or equal to seven or 20 who were including 7/20 and we want to be glass, then seven or 20. So we're going off to negative infinity. And since we have are connected or we want the union of all for peace, that's from negative infinity to infinity.
Answer:
you cant solve it
Step-by-step explanation:
the answer would still be 3x^2
Notice that for implies that elsewhere, since
where is a random variable representing cable lengths according to the PDF .
a. By definition of expectation, the mean is
The variance is
where
so that the variance is , making the standard deviation .
b. The proportion of cables within specs is
Because the two triangles are similar, one is a scaled down version of the other.
You can figure out that scale by comparing two matching sides, in this case AD and AB.
AD = 2 and AB = 2+4 = 6
So 2/6 = 1/3, telling us each side of the smaller triangle is 1/3 the size of the original.
Now we need to find ED and know CB = 12. Knowing ED = 1/3 of CB:
ED = 1/3 • 12 = 4
This means that the sample mean is not systematically smaller or larger than the population mean. Or put another way, if we were to repeatedly take lots and lots (actually an infinite number) of samples, the mean of the sample means would equal the population mean.