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3 years ago

Which of the following is an example of

Mathematics

2 answers:

Volgvan3 years ago

6 0

3x-3 because any letter with a number or even by itself is a variable

Nikitich [7]3 years ago

3 0

Answer:

3x-3

Step-by-step explanation:

There is a variable (x) in this expression.

hope this helps :)

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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

Which of these is closest to the time in years that it will take an investment to triple when it is invested in an account that

kkurt [141]

Answer:

20.4 years

Step-by-step explanation:

The nper formula in excel comes handy in this scenario:

=nper(rate,pmt,-pv,fv)

Rate is the monthly rate of 5.4%/12

Assuming actual investment is $5,000 which is pv

The triple amount would be $5,000*3=$15,000 which is future value fv.

pmt is the regular cash flow the investment which is zero

=nper(5.4%/12,0,-5000,15000)= 244.68 months

Yearly it can be expressed as = 244.68/12 =20.39 years

When rounded to one decimal place it becomes 20.4 years

5 0

3 years ago

What is the image of (-6,-5) after a reflection over the -axis

AfilCa [17]

If the axis is x then you go to y so (6, 5)

7 0

3 years ago

The explicit rule for a sequence is given. an=4n−1 What is the recursive rule for the sequence?

Gnom [1K]

Answer:

$a_{n+1}=a_n+4$

Step-by-step explanation:

Have in mind the definition of the term $a_n=4\,n-1$ , and now work on what the term $a_{n+1}$ is based on the previous definition:

$a_{n+1} = 4\,(n+1)-1\\a_{n+1}=4\,n+4-1$

In the next step do NOT combine the numerical values, but try to identify the $a_n$ term ( $4\,n-1$ ) in the expression (notice the use of square brackets to group the relevant terms):

$a_{n+1}=4\,n+4-1\\a_{n+1}=[4\,n-1]+4\\a_{n+1}=a_n+4$

So now we have the term " $a_{n+1}$ " defined in a recursive manner based on the previous term " $a_n$ "

8 0

3 years ago

. Identify the converse of the conditional statement. Determine the truth values of the original conditional and its converse. I

Cerrena [4.2K]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

The answer should be A which is:

If the measure of an angle is 90, then it is a right angle.
Original: true
Converse: true

p is angel is right
 q is its measure is 90
the statement is p then q so the converse is q then p

7 0

3 years ago