Answer:
Standard Deviation = 3.22
Variance = 10.36
Step-by-step explanation:
x P(x) x × P(x) x² x² × P(x)
19 0.20 3.8 361 72.2
10 0.20 2 100 20
11 0.30 3.3 121 36.3
12 0.20 2.4 144 28.8
13 0.10 1.3 169 16.9
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12.8 174.2 => Total
<em><u>Mean Formula</u></em>
<em><u>Variance Formula</u></em>
![\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2](https://tex.z-dn.net/?f=%5Csigma%20_x%5E2%20%3D%20%5Csum%5Bx%5E2%20%5Ctimes%20P%28x%29%5D%20-%20%5Cmu_x%5E2)
<em><u>Standard Deviation Formula</u></em>
Well, we can input both variables to check and see if the numbers hold.
-691 = -51(-15) - 74
-691 = 765-64
-691 = 701
(-15, -691) does not make the equation true.
Hello.
-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h
Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.
-7h - 8h + 10 > -4h + 11
Add like terms.
-15h + 10 > -4h + 11
Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.
Subtract 10 from both sides. Then, add 4h to both sides.
-15h + 4h > 11 - 10
Simplify.
-h > 1
Divide both sides by -1.
However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <
-h ÷ -1 < 1 ÷ -1
h < -1
Answer:
109th value is 760
Step-by-step explanation:
the nth term rule is 7n-3
7×109=763
763-3=760
