Step-by-step explanation:
a)
well, logically, it must be M, 2
b)
this is a combined probability for one single pair of possible outcomes.
there are 15 pairs, all with the same probability.
so, P(Q, 4) = number of desired outcomes / number of possible outcomes = 1/15
as combined probability we can also say the probability to get 4 on one wheel is 1/5, and the probabilty to get Q on the other wheel is 1/3
so, P(Q, 4) = 1/3 × 1/5 = 1/15
Answer is B as it is a parabola
Answer:
Step-by-step explanation:
Your difference of perfect cubes formula is given as
and you have already correctly identified a as 
and b as 
. So we fill in the formula as follows:
and we simplify. Remember that
. It's important that you remember the rules.
Simplifying then gives us
That's it, so fill it in however you need to on your end. Learn the patterns for the sum and difference of cubes and it will save you a ton of headaches...promise!!
Answer:
Step-by-step explanation:
Let x represent the number of plain T-shirts that were sold.
Let y represent the number of fancy T-shirts that were sold.
A local merchant has promised to donate up to 150 plain and deluxe t-shirts to help the team with their fundraiser. This means that
x + y ≤ 150
Plain t- shirts sell for $8 each and fancy t-shirts sell for $12 each. Therefore, the total cost of x plain T-shirts would be 8x and the total cost of x fancy T-shirts would be 12x
They need to raise at least $2,000. This means that
8x + 12y ≥ 2000
If the soccer team sells 70 fancy t shirts, then,
8x + 12 × 70 ≥ 2000
8x ≥ 2000 - 840
8x ≥ 1160
x ≥ 1160/8
x ≥ 145
The minimum number of plain t-shirts that they need to sell is 145
