Answer:
And if we use the values obtained we got:
For this case this value means that the expected score is about 7.48
Step-by-step explanation:
For this case we assume the following probability distribution:
X 5 6 7 8 9 10
P(X) 0.05 0.15 0.33 0.28 0.12 0.07
First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
For this case this value means that the expected score is about 7.48
In order to find the standard deviation we need to find first the second moment, given by :
And using the formula we got:
Then we can find the variance with the following formula:
![Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096](https://tex.z-dn.net/?f=Var%28X%29%3DE%28X%5E2%29-%5BE%28X%29%5D%5E2%20%3D57.46-%287.48%29%5E2%20%3D1.5096)
And then the standard deviation would be given by:
Although the terms might seem intimidating, this is a simple substitution problem.
X + Y = _______
Substitute the values of X and Y in terms of w
(7w^2 + 4w - 6) + (w^2 - 11w + 13) = ______
Now all you need to do is combine like terms (terms that have the same variables raised to the same power)
8w^2 - 7w + 7
Final Answer: 8w^2 - 7w + 7
It will take Katie 29 weeks to reach her goal and it will take Rebecca 28 weeks to reach her goal so Rebecca will finish one week before Katie.
Hope this helps!
Answer:
10
Step-by-step explanation:
its easy just add your two numbers
Answer:
Option C. continuous except x = 5 and x = 9.
Step-by-step explanation:
The given function is 
Now we have to check the continuity of the given function
We know if the denominator of a function which is in the form of a fraction is 0 then the given function is not continuous.
If we put x - 5 = 0
x = 5
and x - 9 = 0
x = 9
These are the two values of x for which the function is not defined.
Therefore option C. function is continuous except x = 5 and x = 9
is the correct answer.
