Answer:
Step-by-step explanation:
1)
2(x – 4) + 32
Multiply it out.
2 * x - 2 * 4 + 32
2x - 8 + 32
2x + 24
2)
9x + 4(x + 2) – 5
Multiply it out
9x + 4 * x + 4 * 2 - 5
9x + 4x + 8 - 5
13x + 3
For a standard normally distributed random variable <em>Z</em> (with mean 0 and standard deviation 1), we get a probability of 0.0625 for a <em>z</em>-score of <em>Z</em> ≈ 1.53, since
P(<em>Z</em> ≥ 1.53) ≈ 0.9375
You can transform any normally distributed variable <em>Y</em> to <em>Z</em> using the relation
<em>Z</em> = (<em>Y</em> - <em>µ</em>) / <em>σ</em>
where <em>µ</em> and <em>σ</em> are the mean and standard deviation of <em>Y</em>, respectively.
So if <em>s</em> is the standard deviation of <em>X</em>, then
(250 - 234) / <em>s</em> ≈ 1.53
Solve for <em>s</em> :
16/<em>s</em> ≈ 1.53
<em>s</em> ≈ 10.43
Hello,
Question:
Jack popped some popcorn, but 3 of the 150 kernels did not pop.
Determine which popcorn snacks below has the same ratio of unpopped to total kernels as Jack's popcorn.
We Know:
3 out of 150 did not pop
Solution:
3/150 = 3 to 150
Find ratios similar to this one,
4/200
2/100
1/50
So now we know for every kernel that dosent pop there are 50 that did.
Answers:
4 unpopped out of 200 kernels
1 unpopped out of 50 kernels
Answer:5 7/18
Step-by-step explanation:
7 2/9 - 1 5/6
65/9-1 5/6
65/9-11/6
97/18
5 7/18
