Answer:
x < 15
Step-by-step explanation:
1) Regroup terms.
⇒ x - 50 < - 35
2) Add 50 to both sides.
x < - 35 + 50
3) Simplify - 35 + 50 to 15.
x < 15
The expected value for the given Five possibilities is $6.
We have,
Payoffs of $2, $4, $6, $8, and $10.
Now,
We know that,
The expected value ![=\Sigma (x*P(x))](https://tex.z-dn.net/?f=%3D%5CSigma%20%28x%2AP%28x%29%29)
i.e. The sum of product of possible outcome and each outcome.
Here, x = Each outcome
And
P(x) = Possible outcomes
So,
Probability of x (Px)
,
Now,
According to the above mentioned formula,
i.e.
The expected value ![=\Sigma (x*P(x))](https://tex.z-dn.net/?f=%3D%5CSigma%20%28x%2AP%28x%29%29)
We get,
![=\Sigma\ (\frac{1}{5} * 2) + (\frac{1}{5} * 4) + (\frac{1}{5} * 6) +(\frac{1}{5} * 8) +(\frac{1}{5} * 10)](https://tex.z-dn.net/?f=%3D%5CSigma%5C%20%28%5Cfrac%7B1%7D%7B5%7D%20%2A%202%29%20%2B%20%28%5Cfrac%7B1%7D%7B5%7D%20%2A%204%29%20%2B%20%28%5Cfrac%7B1%7D%7B5%7D%20%2A%206%29%20%2B%28%5Cfrac%7B1%7D%7B5%7D%20%2A%208%29%20%2B%28%5Cfrac%7B1%7D%7B5%7D%20%2A%2010%29)
On solving we get,
![=\Sigma\ (0.4 + 0.8 + 1.2 + 1.6 + 2)](https://tex.z-dn.net/?f=%3D%5CSigma%5C%20%280.4%20%2B%200.8%20%2B%201.2%20%2B%201.6%20%2B%202%29)
i.e.
The expected value = $6
So,
The expected value for given possibilities is $6.
Hence we can say that the expected value for the given Five possibilities is $6.
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Answer:
about 13.6
Step-by-step explanation:
Assuming DEF is a right triangle, you use trig functions to solve this problem. Out on sin, cos, and tan, sin would work for this problem. You plug in the numbers and put it into a calculator. This gives you the answer after you round to the nearest tenth. See work for more.
Answer:
What is the question?
Step-by-step explanation:
All I evaluate from this is 40 have curfew and out of those 40, 35 have a smartphone, and 5 do not have a smartphone. 20 do not have curfew and out of those 20, 14 have a smartphone, and 6 do not have a smartphone.