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3 years ago

Help with this question please thank you so much

Mathematics

1 answer:

muminat3 years ago

8 0

-6/5,-236/5 would be the minimum

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4. Find the value of n that makes this equation true. (Use

andreyandreev [35.5K]

Answer:

$n=4$

Step-by-step explanation:

We start off with 3.2n + 13.3 = 26.1.

We need to get n by itself.

Subtract 13.3 from both sides.

$3.2n+13.3-13.3=26.1-13.3$

$26.1-13.3=12.8$

We end up with: $3.2n=12.8$

Divide 3.2 on both sides to get n by itself.

$\frac{3.2n}{3.2} =\frac{12.8}{3.2}\\ n=4$

7 0

3 years ago

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

3 years ago

PLEASE PLEASE HELP TIME RUNNING OUT WILL AWARD 20 POINTS

Trava [24]

(x+4)(x+4+1) = (x+1)(x+1+11)
(x+4)(x+5) = (x+1)(x+12)
x^2 + 4x+5x+20=x^2+x+12x+12
9x + 20 = 13x + 12
13x-9x = 20-12
4x = 8
x = 2

7 0

3 years ago

Read 2 more answers

Fill in the missing work and justification for step 5 when solving 4(x + 1) = 8.

vlada-n [284]

4(x + 1) = 8

4x+4=8

4x=8-4

4x=4

x=4/4

x=1

5 0

3 years ago

Given a set of data with the Regression Line: y = 3.5x + 18.5

Tomtit [17]

Answer:

1.5

Step-by-step explanation:

$y=3.5*100+18.5=368.5\\rv=370-368.5=1.5$

4 0

3 years ago