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3 years ago

Which equation shows that you can find the power of a power by finding the product of the exponents?

Mathematics

2 answers:

nignag [31]3 years ago

8 0

The bottom right one is the correct answer

Softa [21]3 years ago

6 0

Y^a+b

The top right one. Hope this helps:)

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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

A. Find the unit price for each option shown below. Found to the nearest cent when necessary.

jek_recluse [69]

$6.75/10 = $.68 per option 1

$7.25/12 = $.60 per option 2

Option 2 is the better buy

3 0

3 years ago

Find the perimeter of triangles are 3.6, 5.7,4.5c

garri49 [273]

Answer:

13.8 cm

Step-by-step explanation:

the sides of the triangle measure 3.6, 5.7,4.5cm?

So, we have

perimeter is 3.6 + 5.7 + 4.5

13.8 cm

3 0

3 years ago

What is the solution to the equation 4x-6=10x-3? x = -2 x=-1/2 x=1/2 x=2

kaheart [24]

Answer:

x= -1/2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teac

IrinaK [193]

Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+i)^n

Being:

FV= Future Value

PV= Initial Investment

i= increase rate

n= number of periods

FV= 1,000*(1.12^n)

For example, for one year:

FV= 1,000*(1.12^1)

FV= $1,120

For 3 years:

FV= 1,000*(1.12^3)

FV= $1,404.93

8 0

3 years ago