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ValentinkaMS [17]
3 years ago
15

Three applications for admission to a local university are checked to determine whether each applicant is male or female. The nu

mber of sample points in this experiment is _____.
Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer:87

Step-by-step explanation:

ITS THE MONSTER MASH

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With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en
mrs_skeptik [129]

Answer:

0.9167 = 91.67% probability that the entire batch will be accepted

Step-by-step explanation:

The CDs are chosen without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

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:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

2100 write-rewrite CDs, and 60 are defective.

This means, respectively, that N = 2100, k = 60

3 of these CDs are randomly selected for testing

This means that n = 3

What is the probability that the entire batch will be accepted?

Probability of none defective, so P(X = 0).

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,2100,3,60) = \frac{C_{60,0}*C_{2040,3}}{C_{2100,3}} = 0.9167

0.9167 = 91.67% probability that the entire batch will be accepted

5 0
3 years ago
Kyle used 15 centimeters of tape to wrap 3 presents. How much tape will Kyle need in all if he has to wrap 5 presents? Assume th
Stells [14]

Answer:

25

Step-by-step explanation:

5 0
3 years ago
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
jolli1 [7]
First, you need to isolate the x in the first equation. 
-x + 5y = 1
Subtract 5y from both sides, leaving you with the following equation: 
-x = 1-5y
Because you are trying to solve for positive x and not negative x, you need to make x positive. Therefore you divide both sides by -1. In Algebra, when 1 is the coefficient of the variable, it is not shown, but it is still there. The new equation will be the following: x = 5y-1
Now you just need to substitute the x within the second equation for the x equation we just solved for. 

Therefore, the right answer will be 2(5y-1)+4y= -4. Now, all you have to do is choose the answer that states exactly that, which is the first choice.  

3 0
3 years ago
PLEASE HELP!!!Find the area of the kite.
Veseljchak [2.6K]

Answer:

9

Step-by-step explanation:

9 is the correct answer.

4 0
3 years ago
What’s the solution of 5(2m - 13) =65
earnstyle [38]

Answer:

m=13

Step-by-step explanation:

8 0
3 years ago
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