Answer:
30
Step-by-step explanation:
Each z-score = 1 standard deviation from the mean, so 18 + (6 x 2) = 30
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)
Answer:
9 smoothie's
Step-by-step explanation:
Given Isabelle's recipe recquire 2/3 cup of strawberry for making one smoothie.
Given 6 cups of strawberry is available .
Let the number of smoothie's made by her is x


on cross multiplication we get

x = 9.
Therefore the total number of smoothies made are 9