Answer:
4,2
Step-by-step explanation:
your correct answer should be: z = (x - mean) / SD = (79 - 70) / 3 = 3
P (Z > 3)? = 1 - F (z) = 1 - F (3) = 0.00135 i hope this is helpful! :D
There are 5005 different groups
<h3>How to determine the number of groups?</h3>
The given parameters are:
Players, n = 15
Selected, r = 6
The number of groups is then calculated as:
![Group = ^{n}C_r](https://tex.z-dn.net/?f=Group%20%3D%20%5E%7Bn%7DC_r)
This gives
![Group = ^{15}C_6](https://tex.z-dn.net/?f=Group%20%3D%20%5E%7B15%7DC_6)
Apply the combination formula
![Group = \frac{15!}{9!6!}](https://tex.z-dn.net/?f=Group%20%3D%20%5Cfrac%7B15%21%7D%7B9%216%21%7D)
Evaluate the expression
Group = 5005
Hence, there are 5005 different groups
Read more about combination at:
brainly.com/question/11732255
#SPJ1
We have been given a graph. We are asked to find the values of x,y and z.
We will use parallel line's angles to solve our given problem.
We know that corresponding angles of parallel lines are equal.
We can see that angle
and 67 are corresponding angles, so we can set an equation as:
![2x+3=67](https://tex.z-dn.net/?f=2x%2B3%3D67)
![2x+3-3=67-3](https://tex.z-dn.net/?f=2x%2B3-3%3D67-3)
![2x=64](https://tex.z-dn.net/?f=2x%3D64)
![\frac{2x}{2}=\frac{64}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B64%7D%7B2%7D)
Therefore, the value of x is 32.
We know that interior angles on same side of transversal are supplementary.
We can see that
and 67 are interior angles, so we can set an equation as:
![3y+5=67](https://tex.z-dn.net/?f=3y%2B5%3D67)
![3y+5-5=67-5](https://tex.z-dn.net/?f=3y%2B5-5%3D67-5)
![3y=62](https://tex.z-dn.net/?f=3y%3D62)
![\frac{3y}{3}=\frac{62}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3y%7D%7B3%7D%3D%5Cfrac%7B62%7D%7B3%7D)
![y=\frac{62}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B62%7D%7B3%7D)
Therefore, the value of y is
.
We can set an equation for angle z as:
![4z+13=2x+3](https://tex.z-dn.net/?f=4z%2B13%3D2x%2B3)
![4z+13-13=2x+3-13](https://tex.z-dn.net/?f=4z%2B13-13%3D2x%2B3-13)
![4z=2x-10](https://tex.z-dn.net/?f=4z%3D2x-10)
Upon substituting value of z, we will get:
![4z=2(32)-10](https://tex.z-dn.net/?f=4z%3D2%2832%29-10)
![4z=64-10](https://tex.z-dn.net/?f=4z%3D64-10)
![4z=54](https://tex.z-dn.net/?f=4z%3D54)
![\frac{4z}{4}=\frac{54}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4z%7D%7B4%7D%3D%5Cfrac%7B54%7D%7B4%7D)
![z=13.5](https://tex.z-dn.net/?f=z%3D13.5)
Therefore, the value of z is 13.5.
Let's simplify step-by-step.<span><span><span><span>5<span>x2</span></span>−<span>3x</span></span>−2</span>−<span>(<span><span><span>−<span>2<span>x2</span></span></span>−x</span>+10</span>)</span></span>Distribute the Negative Sign:<span>=<span><span><span><span>5<span>x2</span></span>−<span>3x</span></span>−2</span>+<span><span>−1</span><span>(<span><span><span>−<span>2<span>x2</span></span></span>−x</span>+10</span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span>5<span>x2</span></span>+</span>−<span>3x</span></span>+</span>−2</span>+<span><span>−1</span><span>(<span>−<span>2<span>x2</span></span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−x</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(10)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span>5<span>x2</span></span>+</span>−<span>3x</span></span>+</span>−2</span>+<span>2<span>x2</span></span></span>+x</span>+</span>−10</span></span>Combine Like Terms:<span>=<span><span><span><span><span><span>5<span>x2</span></span>+<span>−<span>3x</span></span></span>+<span>−2</span></span>+<span>2<span>x2</span></span></span>+x</span>+<span>−10</span></span></span><span>=<span><span><span>(<span><span>5<span>x2</span></span>+<span>2<span>x2</span></span></span>)</span>+<span>(<span><span>−<span>3x</span></span>+x</span>)</span></span>+<span>(<span><span>−2</span>+<span>−10</span></span>)</span></span></span><span>=<span><span><span>7<span>x2</span></span>+<span>−<span>2x</span></span></span>+<span>−12</span></span></span>Answer:<span>=<span><span><span>7<span>x2</span></span>−<span>2x</span></span>−<span>12</span></span></span>