Ask question

Ask question

All categories

3 years ago

6

How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?

2 answers:

DochEvi [55]3 years ago

5 0

Answer:

many solutions

Step-by-step explanation:

4n + 6 = 4 + 2 + 4n

We try to solve for n

we try to get the variable alone

4n + 6 = 4 + 2 + 4n

combine like terms

4n + 6 = 6 + 4n

subtract 4n from both sides

6=6

If we arrive at a true statement like 5=5 then the equation has infinitely many soltions

We arrived at a true statement 6=6 so infinitely many solutions

lara31 [8.8K]3 years ago

4 0

4n+6=4+2+4n, well first combine like terms, 4n+6=6+4n and those are exactly the same, there's no magical n that can make 4n+6 not equal 4n+6, so <span>many

</span>

You might be interested in

According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

2 years ago

Help solve the following equation: 20.6 + 2.1x = -8.2x

Igoryamba

$20.6 + 2.1x = -8.2x$

$20.6=-10.3x$

$-2=x$

4 0

3 years ago

Read 2 more answers

What is 125 in exponential form?

Tom [10]

Number = 125
Here, ∛125 = 5
so, in exponential form, it would be: 5³

So, your final answer is 5³

Hope this helps!

6 0

3 years ago

The salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation o

Westkost [7]

Answer:

54,900

hope this helps!!

3 0

3 years ago

Sports clubs have increasingly been acknowledged as important settings for health promotion. The term sport club is synonymous w

viktelen [127]

The linear equation that represent the left balance of sanjaya’s y after visiting x number of days is:

y = 10x + 500.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the data given, we have that:

The y-intercept is of 500.

The slope is of 10.

Hence the balance is given as follows:

y = 10x + 500.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0

1 year ago