What is (2/3) to the 4th power?

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

2 years ago

I need help for number 3

Sladkaya [172]

Answer: 3/2

Step-by-step explanation: 24 ÷ 2² + 8 (3/2) = 3/2

4 0

3 years ago

Read 2 more answers

Lytrisha claims that y= 2x2 + 3 is a function but not a linear function select the statement that supports lytrishas claim

Gnom [1K]

Answer:

B

Step-by-step explanation:

A is wrong, it increases

C is wrong, the coefficient does not determine if it is linear (straight), the exponent does.

D is wrong, you don't need to know a point to determine if it is linear, (if you have 3 points you can though. )

8 0

2 years ago

Which number is irrational? A. 0.3 B. [5 C. 0.777 D. 00.454445

Yanka [14]

C.0.777 decuase it is smart

8 0

2 years ago

Read 2 more answers

Which functions domain consists of all real numbers except -2?

Eddi Din [679]

Answer:

option (a) f(x)= 1/x+2

Step-by-step explanation:

(a) f(x) = 1/ x+2

To find the restriction for domain , we set the denominator =0 and solve for x

x+2 =0, so x=-2

When x=-2 then denominator becomes 0 that is undefined.

So, domain is all real numbers except -2

(b) f(x)= 2x

In this function, there is no denominator or square root or log function

so there is no restriction for x, hence domain is all real numbers

(c) f(x) = 2x-2

In this function, there is no denominator or square root or log function

so there is no restriction for x, hence domain is all real numbers

f(x) = 1/ sqrt(x+2)

if we have square root in the denominator then we set the denominator >0 and solve for x. because square root of negative values are undefined

x+2>0, x>-2

Hence domain is all real numbers that are greater than -2

8 0

3 years ago