While filling a pool 144centimeters deep, Fiona notices it has taken 2 hours to fill it up to a depth of 36 centimeters. 1a At w
1 answer:
Answer:
Rate at which pool is getting filled m/hr
Step-by-step explanation:
Given
Depth up to which the pool gets filled in two hours is equal to centimeter
As we know
One meter centimeter
So centimeter is equal to
meter
Rate at which pool is getting filled is equal to height up to which water is filled in 2 hours divided by time taken
Rate at which pool is getting filled m/hr
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Answer:
probability that all the 15 students selected are girls
Step-by-step explanation:
The selection is from a sample without replacement, so we use the hypergeometric distribution 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.
All girls from the first group:
20 students, so
10 girls, so
5 students will be selected, so
We want all of them to be girls, so we find P(X = 5).
All girls from the second group:
20 students, so
5 girls, so
5 students will be selected, so
We want all of them to be girls, so we find P(X = 5).
All girls from the third group:
20 students, so
8 girls, so
5 students will be selected, so
We want all of them to be girls, so we find P(X = 5).
All 15 students are girls:
Groups are independent, so we multiply the probabilities:
probability that all the 15 students selected are girls