Answer:
And then we have the following parameters for the random variable Y
And the best option is:e. mean = $4.35, variance = $ .30.
Step-by-step explanation:
For this case we know the following info " The toll on the bridge is $3.00 per car plus $ .50 per person in the car"
So then we can create the following linear function:
Where Y represent the total amount of money that is collected from a car. And X represent the number of people in the car.
We have the parameters for the random variable X given by:
So then we can find the expected value for the random variable Y like this:
And if we replace the expected value for X we got this:
Now we can find the variance for the random variable Y like this:
We know that for a number we don't have variance since is a constant and the covariance between a number and a random variable is 0 so then we have just this for the variance of Y:
And then we have the following parameters for the random variable Y
And the best option is:e. mean = $4.35, variance = $ .30.
Answer:
base = 18.89
legs = 16.89
Step-by-step explanation:
x + x + 68 = 180
2x + 68 = 180
2x = 112
x = 56
The altitude = 14
Tan(56) = opposite / adjacent
adjacent = base
opposite = altitude
Tan(56) = opposite / base Multiply both sides by the base
base * Tan(56) = opposite Divide by Tan(56)
base = opposite / Tan(56)
base = 14/tan(56)
base = 9.443
The base is actually twice this length because the altitude lands on the midpoint of the opposite side and is perpendicular to the third side (base).
base = 18.886
Legs are the hypotenuse formed by 1/2 the base and the attitude.
Sin(56) = opposite / hypotenuse
Sin(56) = altitude / hypotenuse
hypotenuse = altitude / Sin(56)
hypotenuse = 14 / sin(56)
hypotenuse = 16.887
Rounded
base = 18.89
legs = 16.89
It is -1/8
You are welcome
Supplementary angles always equal 180. Then you just solve from there.
7x+5x+24=180
12x+24=180
-24 -24
12x=156
/12 /12
X=12
The focus it the point, so all you have to do is plot the focus on a graph. Then, draw a line to the point of origin and calculate the equation. This equation in slope intercept form would be y=-x+0
