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3 years ago

Ifj=k, then k =j what is the property?

Mathematics

1 answer:

ozzi3 years ago

6 0

Answer:

See below.

Step-by-step explanation:

So we have:

$\text{if }j=k\text{ then } k=j$

This is an example of the symmetric property<em>. </em>The equation remains true every if you flip them.

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A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting

s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors 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:

12 resistors, which means that $N = 12$

3 defective, which means that $k = 3$

4 are selected, which means that $n = 4$

To find an specific probability, that is, of x defectives:

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

$P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}$

7 0

3 years ago

What is 348,000,000,000,000 estimated as the product of a single digit and a power of 10?

levacccp [35]

The answer should be 3.48 X 10^18

3 0

3 years ago

How many significant figures in 0.003010

Tamiku [17]

4 significant figures.
we can start counting the numbers after all the zeros in front. the zeros in front doesn't count in. but the zeros after the first number that is 1 or larger counts.
therefore we only need to look at 3010

4 0

3 years ago

Find the equation of the line with slope = -2 and passing through (3,2). Write your equation in the form

horrorfan [7]

Answer:

Step-by-step explanation:

y - 2 = -2(x - 3)

y - 2 = -2x + 6

y = -2x + 8

3 0

3 years ago

Write the quadratic function f(x) = x2 - 2x - 8 in factored form.

Ronch [10]

Answer:

Hello,

answer C

Step-by-step explanation:

$f(x)=x^2+2x-8\\\\=x^2-4x+2x-8\\\\=x(x-4)+2(x-4)\\\\=(x-4)(x+2)\\\\Answer\ C$

7 0

3 years ago