3 divided by 1/4 =
3x4/1=12
Final Answer: Adren now has 12 pieces of carrot cake.
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:
45
Step-by-step explanation:
Answer:
A) 0.38
Step-by-step explanation:
By SOH CAH TOA, the <em>sine of an angle is its opposite side divided by the hypotenuse</em>.
<em>The opposite of ∠C is 5, and the hypotenuse is 13</em>.
So, sin(C) = 5/13 ≈ 0.38.
Assume that Cody was x cm tall on his first day at school last year.
Assume that Cody is y cm tall on his first day at school this year.
This year, Cody became 10% taller.
10% is equivalent to 0.1
This can be translated into the following:
y = x + 0.1x
We are given that y = 165 cm.
Substitute in the equation to get x as follows:
165 = x + 0.1x
165 = 1.1x
x = 150 cm
Based on the above calculations, Cody was 150 cm tall on his first day at school last year.
