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Umnica [9.8K]
3 years ago
6

Divide. Express your answer in lowest terms. - 7/10 divide by (- 4/5)

Mathematics
2 answers:
strojnjashka [21]3 years ago
8 0
- \frac{7}{10} \div (- \frac{4}{5} ) \\ \\ - \frac{7}{10} \div - \frac{4}{5} \\ \\ - \frac{7}{10} \times \frac{5}{-4} \\ \\ \frac{7}{10} \times \frac{5}{4} \\ \\ \frac{7 \times 5}{10 \times 4} \\ \\ \frac{35}{10 \times 4} \\ \\ \frac{35}{40} \\ \\ \frac{7}{8} \\ \\ Answer: \fbox {7/8} \ or \ \fbox {0.875}
Aleonysh [2.5K]3 years ago
7 0
-7/10 ÷ (-4/5)

First, we need to do KCF

Keep the first fraction.

-7/10

Change the sign.

-7/10 *

Flip the fraction

-7/10 * (-5/4)

Now multiply!

7*5 = 35
4*10 = 40

Now, simplify

35/5 = 7
40/5 = 8

Final answer: 7/8

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Step-by-step explanation:

Information given

\bar X_{1}=14 represent the mean for sample 1 (younger)

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s_{1}=5 represent the sample standard deviation for 1  

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n_{2}=31 sample size for the group 2  

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We want to test if  that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

The statistic is given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

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Replacing the info given we got:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

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