All categories

2 years ago

Solve each proportion 3 = 72 – 7

Mathematics

1 answer:

Vanyuwa [196]2 years ago

4 0

1. 504=3x
x=168

2. 64=20m
m=3.2

You might be interested in

Help fast plz I WILL DO ANYTHING

kaheart [24]

Answer:

I only have 2

Step-by-step explanation:

each sides is multiplying by 2

each order is multiplying by 12

5 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

PLZ HELP!

Shtirlitz [24]

Answer:

vertex and x= -b/2a = 0

second point, when x=1, y=3

third point the mirror of the second point over the vertex

Step-by-step explanation:

Do as described

8 0

3 years ago

Select the correct answer.

gizmo_the_mogwai [7]

Answer:

Factors are (x-1), (x+1), and (x+2).

Step-by-step explanation:

$g(x)=x^{3}+2x^{2} -x-2\\g(x)=(x - 1) (x + 1) (x + 2)$

7 0

3 years ago

you better container of cat litter for 13.75 and a bag of cat food for x amount of dollars the total purchase is $20.80 which in

fenix001 [56]

I think its $6.22 for cat food

7 0

3 years ago

Solve each proportion 3 = 72 – 7​

Solve each proportion 3 = 72 – 7