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2 years ago

5 5/6 divided by 2 1/3

Mathematics

2 answers:

Afina-wow [57]2 years ago

7 0

Answer:

2.5

Step-by-step explanation:

$5\frac{5}{6}$ ÷ $2\frac{1}{3}$

First, convert both fractions into the form of an improper fraction. This can be done by multiply the "number" outside of the fraction by the denominator of the fraction, that is the number underneath the fraction bar. Then, add the result to the numerator, the number over the fraction bar.

$\frac{35}{6}$ ÷ $\frac{7}{3}$

Now, one must reciprocate the second fraction, in other words, switch the places of the denominator and the numerator on the second fraction, then change the division sign to a multiplication sign. Remember, dividing two fractions is the same as multiplying by their reciprocal.

$\frac{35}{6} * \frac{3}{7}$

Now multiply the two fractions, multiply the numerator by the numerator, and the denominator by the denominator, then simplify.

$\frac{105}{42}\\\\= 2.5$

riadik2000 [5.3K]2 years ago

5 0

Answer:

Step-by-step explanation:

5 5/6 = 35/6

2 1/3 = 7/3 = 14/6

multiply by the reciprocal of 14/6

35/6 * 6/14 = 210/84 = 5/2

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3 years ago

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LenKa [72]

Answer:

3/-5

Step-by-step explanation:

Rise over Run is what Slope is. So basically we look at it and go how do we get from -6 to -3? Well you add 3, so thats your top number. We look at the bottom of the fractions now. We use the same thought process. How do you get from 14 to 9? Subtract 5. So our slope is 3/-5. Hope this helps

5 0

2 years ago

Read 2 more answers

In a random sample of 80 teenagers, the average number of texts handled in a day is 50. The 96% confidence interval for the mean

Nastasia [14]

Answer:

a) $\bar X =\frac{46+54}{2}=50$

And the margin of error is given by:

$ME= \frac{54-46}{2}= 4$

The confidence level is 0.96 and the significance level is $\alpha=1-0.96=0.04$ and the value of $\alpha/2 =0.02$ and the margin of error is given by:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

We can calculate the critical value and we got:

$z_{\alpha/2} = 2.05$

And if we solve for the deviation like this:

$\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}$

And replacing we got:

$\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45$

b) $ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828$

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor $\sqrt{2}$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

n=80 represent the sample size

Solution to the problem

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case we can calculate the mean like this:

$\bar X =\frac{46+54}{2}=50$

And the margin of error is given by:

$ME= \frac{54-46}{2}= 4$

The confidence level is 0.96 and the significance level is $\alpha=1-0.96=0.04$ and the value of $\alpha/2 =0.02$ and the margin of error is given by:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

We can calculate the critical value and we got:

$z_{\alpha/2} = 2.05$

And if we solve for the deviation like this:

$\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}$

And replacing we got:

$\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45$

Part b

For this case is the sample size is doubled the margin of error would be:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828$

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor $\sqrt{2}$

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2 years ago

Let x be the number of successes throughout n independent repetitions of a random experiment having probability of success p=1/4

Llana [10]

To answer problems like this you have to use binomial:

P (x > 1) = 1 – p (0 < x < 1) > .7

So:

1 – p (0) – p (1) > .7

1 – (3/ 4) ^n – (3/ 4) ^n (n – 1 ) (1/ 4) > .7

Therefore n > 5.185, and the smallest value of n so that we can satisfy the given condition is 6 (rounded up)

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3 years ago

3/6+2/6? 7/5+4/10? 3/6+5/3

shepuryov [24]

Answer:

1) 5/6

2) 18/10 (mixed fraction is 8)

3) 13/6 (mixed fraction is 6⅙)

3 0

3 years ago

Read 2 more answers