Answer:
the volume of sand is
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, rectangular prism.
Given data
if the sandbox is filled with sand of deep the volume of the sand in the box will be calculated based on the the depth of the sand
converting the depth of sand from mixed fraction to proper fraction we have
the expression for the volume of a rectangular prism is
substituting our data into the expression we have
Answer:
31.82% probability that you will receive 2 apples.
Step-by-step explanation:
The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
5 + 7 = 12 total fruits, which means that
7 apples, which means that
You receive 2 fruits, which means that
What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?
This is, as a proportion, P(X = 2). So
0.3182*100% = 31.82%
31.82% probability that you will receive 2 apples.