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ladessa [460]
3 years ago
13

What is 3/18 written in simplest form? Explain how you found your answer.

Mathematics
2 answers:
UNO [17]3 years ago
4 0

Answer:

\dfrac{1}{6}

Step-by-step explanation:

We have the following fraction:

   \dfrac{3}{18}

We want to rewrite this fraction in its simplest form.

To do this, we divide the numerator and the denominator by the same factor.

We divide numerator and denominator by 3

  \dfrac{\dfrac{3}{3} }{\dfrac{18}{3} }

We have then:

      \dfrac{1}{6}

Hence, simplest form of  \dfrac{3}{18} is:

\dfrac{1}{6}

hoa [83]3 years ago
3 0

For this case we have the following fraction:

\frac {3} {18}

We want to rewrite this fraction in its simplest form.

To do this, we divide the numerator and the denominator by the same factor.

We have then:

\frac {\frac {3} {3}} {\frac {18} {3}}

Rewriting we have:

\frac {1} {6}

Answer:

The fraction in its simplest form is given by:

\frac {1} {6}

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How long does it take a 2700 dollar investment compounded monthly at 9% to make 500 dollars
valina [46]

Answer:

23 months

Also please note that it's everytime ^t/12 not (^t)/12

Step-by-step explanation:

Principal (P) = $2700

rate = 9%

t = ?

Amount = P(1+\frac{r}{100} )^(t/12)

Amount = 2700 +500 = $3200

So substituting all our values we get :

3200 = 2700(1+\frac{9}{100})^(t/12)\\ 3200=2700(1+0.09)^(t/12)\\3200 = 2700(1.09)^(t/12)\\\frac{3200}{2700}  =1.09^(t/12)

So we use log to solve for t :

t/12=log_{1.09} (\frac{3200}{2700})\\

Solving this using a calculator we get:

1.9714966193*12

=23 months

7 0
3 years ago
What is the result of multiplying the first equation by −3 and adding to the second equation?
Alla [95]

Answer:

The answer is a _10×+8y=15

4 0
3 years ago
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3639 3639 miles, with a var
Andrei [34K]

Answer:

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

A reminder is that the standard deviation is the square root of the variance.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 3639, \sigma = \sqrt{145161} = 381, n = 41, s = \frac{381}{\sqrt{41}} = 59.5

Probability that the mean of the sample would differ from the population mean by less than 126 miles

This is the pvalue of Z when X = 3639 + 126 = 3765 subtracted by the pvalue of Z when X = 3639 - 126 = 3513. So

X = 3765

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{3765 - 3639}{59.5}

Z = 2.12

Z = 2.12 has a pvalue of 0.983

X = 3513

Z = \frac{X - \mu}{s}

Z = \frac{3513 - 3639}{59.5}

Z = -2.12

Z = -2.12 has a pvalue of 0.017

0.983 - 0.017 = 0.966

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

3 0
3 years ago
Solve for x.<br><br> 0.5x + 78.2 = 287
vladimir2022 [97]
0.5x + 78.2 = 287
          -78.2  -78.2

subtract 78.2 on both sides you will then get 0.5x = 208.8 you will then divide by 0.5 and the answer is x =  417.6
3 0
4 years ago
Read 2 more answers
Can someone plz help me with this????
storchak [24]
What information are you given??
4 0
3 years ago
Read 2 more answers
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