Answer:
Step-by-step explanation:
Use the equation
89 < 75 + 0.7*M Subtract 75 from both sides
89 - 75 < 0.7M Combine
14 < 0.7 M Divide both sides by 0.7
14/0.7 < M
20 < M
If M goes over 20 then the flat rate is cheaper.
Answer:
A) The best way to picture this problem is with a probability tree, with two steps.
The first branch, the person can choose red or blue, being 2 out of five (2/5) the chances of picking a red marble and 3 out of 5 of picking a blue one.
The probabilities of the second pick depends on the first pick, because it only can choose of what it is left in the urn.
If the first pick was red marble, the probabilities of picking a red marble are 1 out of 4 (what is left of red marble out of the total marble left int the urn) and 3 out of 4 for the blue marble.
If the first pick was the blue marble, there is 2/4 of chances of picking red and 2/4 of picking blue.
B) So a person can have a red marble and a blue marble in two ways:
1) Picking the red first and the blue last
2) Picking the blue first and the red last
C) P(R&B) = 3/5 = 60%
Step-by-step explanation:
C) P(R&B) = P(RB) + P(BR) = (2/5)*(3/4) + (3/5)*(2/4) = 3/10 + 3/10 = 3/5
Answer:
for #4 a=2.9
Step-by-step explanation:
Assuming this a system of equations and you need the solution set, you can solve it by elimination or substitution--whichever you find easier. i'll use elimination:
2x - 5y = 3
x - 3y = 1
here, it'll be pretty easy to get your x values to match so you can cancel them out. just multiply your bottom equation by 2, then subtract:
2x - 5y = 3
- (2x - 6y = 2)
your 2x's cancel out and -5y + 6y is simply y, so you're left with:
y = 1
that already gives you your answer, because you can see that the first ordered pair is the only pair with a y-value that's 1, but still, to check your x-value, you just plug your y-value into one of the equations:
x - 3(1) = 1
x - 3 = 1
x = 4
so your solution is (4, 1).
Answer:
need to solve the equation 150 = -6x2 + 100x - 180. I can subtract 150 from both sides and use the quadratic formula to find x = 4.53 and 12.13. This means that if the store sells soccer balls for $4.53 or $12.13, it will earn a daily profit of $150.
Step-by-step explanation:
the equation 150 = –6x2 + 100x – 180
zeroes at 4.53 and 12.13
the price of soccer balls that will result in $150 daily profit