Answer:
B)
Step-by-step explanation:
(a-4)²-a-4
a²-8a+16-a-4
a²-9a+12
Your answer is -3...if i did this right.
A. How many different selections are possible?
B. What is the probability of winning?
C. If you win, what is your net profit?
D. Find the expected value
Answer :
A. sequence of three digits (from 0 to 9). so 10 numbers.
We know 3 lottery games. So possible selections = 10^3 = 1000
B. Probability of winning = one outcome / total outcomes
P( winning) =
= 0.001
c. Net profit = winning amount - paid amount
= 384.13 - 1.33 = $382.8
D. expected value
E(x) = net profit * winning probability - paid amount * lost probability
E(x) = 382.8 * 0.001 - 1.33 * 0.999 = -0.95
you expect to lose 95 cents per ticket.
Answer:
Three cubes
Step-by-step explanation:
Lets first write down what we know.
<em>The dimensions of the pyramid are a base of 6cm and a height of 10cm.</em>
<em>The cubes are 2cm by 2cm by 2cm.</em>
<em>We need to find the volume of both to solve.</em>
First, lets solve for the volume of the pyramid. The equation is <u>Volume=base*height/3</u>
Lets put in the values we know.
volume=6*10/3
Multiply.
volume=60/3
Divide.
volume=20cm
Now that we know the volume of the pyramid is 20cm, all we have to do is find the volume of the cubes, and then divide 20cm by their volume.
To find the volume of the cubes, we just need to multiply length, width, and height together.
2cm*2cm*2cm=8cm
Now divide 20cm by 8cm.
20/8=2.5 rounding up to 3.
<em>Devin will need to melt 3 cubes to fill the square pyramid.</em>
Hope this helps!