Answer: Focus, Vertex, Axis, and Directrix.
Step-by-step explanation:
Answer:
Example:
A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag.
a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
i) two black balls
ii) a black ball in his second draw
Solution:
tree diagram
a) Check that the probabilities in the last column add up to 1.
b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. Since these are independent events we can multiply the probability of each branch.
ii) There are two outcomes where the second ball can be black.
Either (B, B) or (W, B)
From the probability tree diagram, we get:
P(second ball black)
= P(B, B) or P(W, B)
= P(B, B) + P(W, B)
Answer:
.91 * x = 158.6
x = 158.6/.91 = $174.29
Step-by-step explanation:
Emily bikes 12 miles, generating a donation unit for every 0.75 miles. Her 12 mile ride will generate
12 × 0.75 = 9 donation units. For each of these 9 danation units her mother will donate 80 cents.
It follows that Emily's mom will donate
9 donation units × $0.80 per unit = $7.20.
To find unit rate, it's typically done with the equation (y/X). in this case X=minutes and y=laps. so plug the numbers into the equation.(81/27). whatever the answers is, that's your constant of proportionality, or unit rate. multiply your unit rate with the minutes and divide the laps by the unit rate to find the minutes.
minutes=m
laps=l
unit rate=k
m×k=l
l/k=m