Answee:
We have these two equations:
-2x +4y =-22
2x + 8y -26
We need to try to get the same number multiplying both x or y, I think we can make the 2 of the first equation negative, for that, we multiply all the equation by -1:
2x + 8y =-26 ---- -2x - 8y =26
Now we have this:
-2x +4y = -22
-2x -8y = 26
Now e substract both equations:
-2x - (-2x) +4y -(-8y) = -22-26
12y = -48
Y = -48/12 = -4
And we replace to get x
-2x + 4y = -22
-2x +4*(-4)=-22
-2x - 16 = -22
x= -6/-2 =3
Answer:
probability that Caroline buy both CD and fruit = 0.52
Step-by-step explanation:
We have given that the probability of Caroline buys a fruit P = 0.4
So probability of Caroline does not buy the fruit = 1 - 0.4 = 0.6
Probability Caroline buys a CD P = 0.2
So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8
So probability that Caroline does not buy either buy CD or fruit = 0.8×0.6=0.48
So probability that Caroline buy both CD and fruit =1-0.48 = 0.52
Answer:
Now we can find the second central moment with this formula:
And replacing we got:
And the variance is given by:
![Var(X) = E(X^2) - [E(X)]^2](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%20%5BE%28X%29%5D%5E2)
And replacing we got:
And finally the deviation would be:
Step-by-step explanation:
We can define the random variable of interest X as the return from a stock and we know the following conditions:
represent the result if the economy improves
represent the result if we have a recession
We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:
And replacing the data given we got:
Now we can find the second central moment with this formula:
And replacing we got:
And the variance is given by:
And replacing we got:
And finally the deviation would be:
Type one is genetic and you are born with it. type two is acquired through an unhealthy lifestyle such as eating junk food and not exercising regularly
The dimensions would be 7√2, 7√6 and 14√2.
A 45-45-90 triangle has two equal legs and a hypotenuse that is equal to the leg multiplied by the square root of two (t, t, t√2).
A 30-60-90 triangle has legs that are equal to t, t√3, and 2t.
The longest side on the 45-45-90 triangle will be 14√2. This will also be the longest side of the 30-60-90 triangle; this gives us
2t = 14√2
Dividing both sides by 2, we have
2t/2 = 14√2/2
t = 7√2
We now have t and 2t; we lack t√3:
t = 7√2
t√3 = 7√2(√3) = 7√6.
