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Len [333]
3 years ago
14

Perform the operation. (Write fractional answers in simplest form.) 8x/3 ÷ 6/7

Mathematics
2 answers:
Kruka [31]3 years ago
7 0

Answer:

28x/9

Step-by-step explanation:

Dividing a fraction by fraction is the same as multiplying a fraction by the other fraction's reciprocal:

Here is the formula:

\frac{x}{y}  / \frac{a}{b} = \frac{x}{y}  *  \frac{b}{a}

Thus, \frac{8x}{3}  / \frac{6}{7}  =  \frac{8x}{3}  * \frac{7}{6}

8x * 7 = 56x and 3* 6 is 18, so:

\frac{56x}{18}

It can be further simplified by dividing both numerator and denominator by 2:

\frac{28x}{9}

svetoff [14.1K]3 years ago
5 0

Answer:

\frac{28x}{9}

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

\frac{8x}{3} /\frac{6}{7}

Step 2: KCF (Keep Change Flip)

\frac{8x}{3} (\frac{7}{6})

Step 3: Multiply

\frac{56x}{18}

Step 4: Simplify

\frac{28x}{9}

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Tinas rent will increase from $595 this year to $708 next year what is the percent change to the nearest percent
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Answer:

The answer rounded to the nearest percent is 19%.

Step-by-step explanation:

The formula for percent change is this:

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((702 - 595) / 595)*100

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<em>And that's an awfully small amount of rent to pay (at least in California).</em>

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Answer:   (0.367,\ 0.473)

Step-by-step explanation:

The confidence interval for population mean is given by :-

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, where \hat{p} is the sample proportion, n is the sample size , z_{\alpha/2} is the critical z-value.

Given : Significance level : \alpha:1-0.99=0.01

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Now, the  99% confidence level will be :

\hat{p}\pmz_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.42\pm(2.576)\sqrt{\dfrac{0.42(1-0.42)}{85}}\\\\\approx0.42\pm0.053\\\\=(0.42-0.053,\ 0.42+0.053)=(0.367,\ 0.473)

Hence, the  99% confidence interval estimate of the true proportion of families who own at least one DVD player is  (0.367,\ 0.473)

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Help me please this is very important
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