Im actually pretty sure its C because 4 to the power of 2 is 16 and then add those too up 16+25=41
Answer:
![Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%204.97%20-%281.61%29%5E2%20%3D2.3779)
And the deviation would be:
![Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54](https://tex.z-dn.net/?f=%20Sd%28X%29%20%3D%5Csqrt%7B2.3779%7D%3D%201.542%20%5Capprox%201.54)
Step-by-step explanation:
For this case we have the following distribution given:
X 0 1 2 3 4 5 6
P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02
For this case we need to find first the expected value given by:
![E(X) = \sum_{i=1}^n X_i P(X_I)](https://tex.z-dn.net/?f=%20E%28X%29%20%3D%20%5Csum_%7Bi%3D1%7D%5En%20X_i%20P%28X_I%29)
And replacing we got:
![E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61](https://tex.z-dn.net/?f=%20E%28X%29%3D%200%2A0.3%20%2B1%2A0.25%20%2B2%2A0.2%20%2B3%2A0.12%20%2B4%2A0.07%2B%205%2A0.04%20%2B6%2A0.02%3D1.61)
Now we can find the second moment given by:
![E(X^2) =\sum_{i=1}^n X^2_i P(X_i)](https://tex.z-dn.net/?f=%20E%28X%5E2%29%20%3D%5Csum_%7Bi%3D1%7D%5En%20X%5E2_i%20P%28X_i%29%20)
And replacing we got:
![E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97](https://tex.z-dn.net/?f=%20E%28X%5E2%29%3D%200%5E2%2A0.3%20%2B1%5E2%2A0.25%20%2B2%5E2%2A0.2%20%2B3%5E2%2A0.12%20%2B4%5E2%2A0.07%2B%205%5E2%2A0.04%20%2B6%5E2%2A0.02%3D4.97)
And the variance would be given by:
![Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%204.97%20-%281.61%29%5E2%20%3D2.3779)
And the deviation would be:
![Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54](https://tex.z-dn.net/?f=%20Sd%28X%29%20%3D%5Csqrt%7B2.3779%7D%3D%201.542%20%5Capprox%201.54)
Answer:
y = x² + 3x - 40
Step-by-step explanation:
Given the zeros are x = - 8 and x = 5, then the factors are
(x + 8) and (x - 5) and
y = (x + 8)(x - 5) ← expand factors
y = x² - 5x + 8x - 40, hence
y = x² + 3x - 40 ← in standard form
Total monthly saving = $1,315
<h3>What are savings?</h3>
Saving is the portion of income not spent on current expenditures. In other words, it is the money set aside for future use and not spent immediately.
Given:
Oakland Los Angeles
Cost Housing $565 $1200
Food $545 $655
Health Care $245 $495
Taxes $450 $625
Other Necessities $350 $495
Now,
Saving in house
= $1200 - $565
= $635
Saving in food
= $655 - $545
= $110
Saving in health care
= $495 - $245
= $250
Saving in taxes
= $625 - $450
= $175
Saving in necessities
= $495 - $350
= $145
Total saving = $635+$110+$250+$175+$145
= $1,315
Hence, the monthly savings should be $1,315.
Learn more about this concept here:
brainly.com/question/13096261
#SPJ1
The complete question is
Benito's family is thinking of relocating from Los Angeles to Oakland to save money. They set up a budget comparing the cost of living for both cities. Oakland Los Angeles Budget Item Cost Cost Housing $565 $1200 Food $545 $655 Health Care $245 $495 Taxes $450 $625 Other Necessities $350 $495 Monthly Total How much money will they save monthly by the move to Oakland? $1315 $1560 $1665 $1765?
An infinite strip with a symmetric pattern is called a frieze pattern.
There are only seven possible frieze pattern.
1. Translation symmetry only.
2. Glide reflection plus translation symmetry.
3. Reflection over a horizontal line plus translation.
4. Reflection over a vertical line plus translation.
5. Rotation (a half-turn about a point on the mid line of the strip) plus translation.
6. Reflection over a vertical line plus a reflection over a horizontal line plus translation.
7. Reflection over a vertical line plus glide reflection plus translation.