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3 years ago

Convert 8/12 as a decimal

2 answers:

Nadusha1986 [10]3 years ago

5 0

The answer is .6 repeating

Explanation
If you simplify it by 4 the fraction would be 2/3 which is equal to .6 repeating. In order to show 6 is repeating you just draw a horizontal line above 6 to show its repeating

Yakvenalex [24]3 years ago

3 0

Answer:

Well you do what fraction says, 8 divided by 12 to get .6 repeating

You might be interested in

Solve: 5.6 = 3.1 – 12.5|1 – 0.8x|

galben [10]

Answer:

<h3>There are no solutions.</h3>

Step-by-step explanation:

Questions:

Solve: 5.6= 3.1 – 12.5|1 – 0.8x|

To find:

The value of x.

Solutions:

5.6= 3.1 – 12.5|1 – 0.8x|

First, do switch sides.

$\Longrightarrow:\sf{3.1-12.5\left|1-0.8x\right|=5.6}$

Multiply by 10 from both sides.

$\Longrightarrow: \sf{3.1*10-12.5|1-0.8x|*10=5.6*10}$

Solve.

31-125|1-0.8x|=56

Subtract by 31 from both sides.

$\Longrightarrow: \sf{31-125\left|1-0.8x\right|-31=56-31}$

Solve.

$\Longrightarrow: \sf{-125\left|1-0.8x\right|=25}$

Divide by -125 from both sides.

Solve.

$\Longrightarrow: \sf{\dfrac{-125\left|1-0.8x\right|}{-125}=\dfrac{25}{-125}=\boxed{\sf{No\ solutions.}}}$

Therefore, the correct answer is "D. There are no solutions."

I hope this helps, let me know if you have any questions.

5 0

2 years ago

a payday loan store charges $40 for one month loan of $300. what annual interest rate is This equivalent to

madreJ [45]

Annual would be $480!

3 0

3 years ago

Paul purchased a used vehicle that depreciates under a straight-line method.

netineya [11]

Answer:

Option B. $900

Step-by-step explanation:

Let

y ----> the value of the car

x ----> the time in years

we know that

The linear function in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the depreciation rate

b is the y-intercept or initial value of the car

we have

The y-intercept or initial value is equal to

$b=\$5,000$

$y=mx+5,000$

we have the ordered pair (5,500)

substitute the value of x and the value of y of the ordered pair in the linear equation and solve for m

$500=m(5)+5,000$

$5m=500-5,000\\5m=-4,500\\m=-\$900\ per\ year$

Is negative because is a decreasing function

The linear equation is equal to

$y=-900x+5,000$

therefore

It would depreciate $900 each year.

4 0

3 years ago

In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 11% of voters a

Radda [10]

Answer:

a) 0.0214 = 2.14% probability that none of the people are Independent.

b) 0.8516 = 85.16% probability that fewer than 6 are Independent.

c) 0.8914 = 89.14% probability that more than 2 people are Independent.

Step-by-step explanation:

For each people, there are only two possible outcomes. Either they are independent, or they are not. For each person asked, the probability of them being Independent voters is the same. This means that 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.

It is believed that 11% of voters are Independent.

This means that $p = 0.11$

A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.

This means that $n = 33$

A. What is the probability that none of the people are Independent?

This is P(X = 0). So

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

$P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214$

0.0214 = 2.14% probability that none of the people are Independent.

B. What is the probability that fewer than 6 are Independent?

This is

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

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

$P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214$

$P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872$

$P(X = 2) = C_{33,2}.(0.11)^{2}.(0.89)^{31} = 0.1724$

$P(X = 3) = C_{33,3}.(0.11)^{3}.(0.89)^{30} = 0.2202$

$P(X = 4) = C_{33,4}.(0.11)^{4}.(0.89)^{29} = 0.2041$

$P(X = 5) = C_{33,5}.(0.11)^{5}.(0.89)^{28} = 0.1463$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0214 + 0.0872 + 0.1724 + 0.2202 + 0.2041 + 0.1463 = 0.8516$

0.8516 = 85.16% probability that fewer than 6 are Independent.

C. What is the probability that more than 2 people are Independent?

This is:

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214$

$P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872$

$P(X < 2) = 0.0214 + 0.0872 = 0.1086$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1086 = 0.8914$

0.8914 = 89.14% probability that more than 2 people are Independent.

8 0

2 years ago

Simplify the expression. 2.5-5.5n - 3n + 6

Snowcat [4.5K]

simplified, it should be -8.5n+8.5

8 0

2 years ago

Read 2 more answers