Answer:
y=−1
Step-by-step explanation:
Let's solve your equation step-by-step.
−4(y−2)=12
Step 1: Simplify both sides of the equation.
−4(y−2)=12
(−4)(y)+(−4)(−2)=12(Distribute)
−4y+8=12
Step 2: Subtract 8 from both sides.
−4y+8−8=12−8
−4y=4
Step 3: Divide both sides by -4.
−4y
−4
=
4
−4
y=−1
Answer:
And we know that each time that we win we recieve $1 and each time we loss we need to pay $1, so then the expected value would be given by:
And the variance is defined as:
Step-by-step explanation:
For this case we know that we can win if we select 2 balls of the same color, so we can find the probability of win like this:
So then the probability of no win would be given by the complement:
We can define the random variable X who represent the amount of money that we can win.
And we can use the definition of expected value given by:
And we know that each time that we win we recieve $1 and each time we loss we need to pay $1, so then the expected value would be given by:
We can calculate the second monet like this:
And the variance is defined as:
Answer:
356.93sq. cm
Step-by-step explanation:
Area of the composite figure = Area of rectangle + Area of semicircle
Area of rectangle = length * wiidth
Area of rectangle = 14cm * 20cm
Area of rectangle = 280 sq. cm
Area of semicircle = πr²/2
Area of semicircle = 3.14(7²)/2
Area of semicircle = 3.14 * 49/2
Area of semicircle = 76.93 sq. cm
Hence the area of the figure = 280 + 76.93
Hence the area of the figure = 356.93sq. cm