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
____________________________________________
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>
Answer:
$9 or 9% less
Step-by-step explanation:
Original Price = OP
$75= OP
75 x .2 (20% discount) = 15
$15 discount
$75 - $15 = $60
$60 x .1 (service fee) = 6
$60 + $6= $66
Op ($75) - $66 = 9
$9 less than OP
How I check the percentage (probaly not how ur supposed to but ah well)
75 = 100%
75 + 25 = 100 but 25 more than 100%
66 + 25 = 91, also makes 75 100% again
100%-91%=9%
Answer: 77 - 10 = 67, and the additive inverse of 77 - 10 is 77 + 10. 77 + 10 = 87.
Hope this helps! This question was kind of confusing for me, because I didn’t understand why you said to add 77 - 10… is this is the incorrect answer sorry your question was worded weird
Answer:
Your slope is -1
Step-by-step explanation:
Find the change in x and the change in y and put it in change in y over change in x.
Δx = -1 - -2 = 1
Δy = -1 - 0 = -1
Slope = rise over run = Change in y over change in x = Δy/Δx = -1/1
Therefore the slope is -1/1 which is written as just -1
Answer:
1. Right: pointing downwards
Left: pointing upwards
2. Right: pointing upwards
Left: pointing upwards
3. Right: pointing downwards
Left: pointing upwards
4a. True
4b. True
Step-by-step explanation:
When the leading coefficient is negative the equation will either open downwards or the y-values will decrease as the x-values increase. The opposite is true for when the leading coefficient is positive. When the degree is odd one end will point downwards while the other points upwards. When the degree is even, both ends point in the same direction.
I hope this helps :)
