The tree diagram for the probability is shown below
P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.
This is a case of conditional probability.
The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)
P(Clay∩Positive) = 0.21×0.48 = 0.1008
P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
P(Positive) = 0.5767
Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)
Square root of 4 is 2
Square root of 9 is 3
7 is between 4 and 9, so its square root is somewhere between 2 and 3, which means the correct answer is between P and Q
Poor <span>Khianna. Let's help her out.
For the original recipe she needs </span>

cups of brown sugar but only has

So the fraction of the brown sugar she has is

She has to scale everything by a factor of

I won't multiply everything by 3/4 for you. 2 cups butter becomes 1 and a half cups butter, 1 tsp vanilla becomes 3/4 tsp, etc.
6.31 is a rational number.
Answer:
20, 30
Step-by-step explanation:
let the intergers be x and y
x = 2/3y
from this eqn, we know that y is larger.
hence, y-x=10
y-2/3y=10
1/3y=10
y=30
x=2/3y =2/3(30) = 20