Which graph is the graph of function h? h(x)={x, x<−1 −x, x≥−1

At a snack food manufacturing facility, the quality control engineer must ensure that all products feature the appropriate expir

Helga [31]

Answer:

0.1108 = 11.08% probability that there are exactly 3 faulty candy bars among the seven.

Step-by-step explanation:

The bars are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes 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 successes.

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.

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

In this question:

60 total candies means that $N = 70$

12 are faulty, which means that $k = 12$

Seven are chosen, so $n = 7$

What is the probability that there are exactly 3 faulty candy bars among the seven?

This is $P(X = 3)$ . So

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

$P(X = 3) = h(3,70,7,12) = \frac{C_{12,3}*C_{48,4}}{C_{60,7}} = 0.1108$

0.1108 = 11.08% probability that there are exactly 3 faulty candy bars among the seven.

5 0

3 years ago

Which one of the following is not equal to 100 meters? 0.100 kilometers 10 hectometers 10,000 centimeters 100,000 millimeters

lara31 [8.8K]

Situation: Which one of the following is not equal to 100 meters?
We were given 4 different choices with corresponding values, not let's start finding the correct answer.
=> 0.100 kilometers
1 meter = 0.001 km
100 meters = 0.1 km
=> 10 hectometers
1 meter = 0.01 hm
100 meters = 1 hm
=> 10,000 centimeters
1 meter = 100 centimeters
100 meters = 10 000 cm
=> 100,000 millimeters
1 meter = 1000 mm
100 meters = 100 000 mm
thus the not equal answer is hectometer

3 0

3 years ago

CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.

svp [43]

Answer:

13/20

Step-by-step explanation:

To add fractions without the common denominator, you have to make them equal so

1/4 x 5 = 5/20

2/5 x 4 = 8/20

5/20 + 8/20 = 13/20

3 0