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2 years ago

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 16 min : 28 min

Mathematics

2 answers:

Anna35 [415]2 years ago

6 0

Answer:

$\frac{4}{7}$

Step-by-step explanation:

given the ratio

16 : 28 = $\frac{16}{28}$

Simplify by dividing the numerator/ denominator by the highest common factor of 16 and 28, that is 4

$\frac{16}{28}$ = $\frac{4}{7}$ ← in simplest form

Note a fraction is in simplest form when no other factor but 1 divides into the numerator/ denominator

sweet-ann [11.9K]2 years ago

3 0

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ 16 min : 28 min simplified to a fraction is $\frac{4}{7}$

16 and 28 can both be divided by 24:

16 ÷ 4 = 4

28 ÷ 4 = 7

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

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3 years ago

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Using the t-distribution, it is found that the 95% confidence interval for the mean number of people the houses were shown is (20.1, 27.9).

We have the standard deviation for the sample, hence the t-distribution is used to build the confidence interval. Important information are given by:

Sample mean of $\overline{x} = 24$ .
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The confidence interval is:

$\overline{x} \pm t\frac{s}{\sqrt{n}}$

In which t is the critical value for a 95% confidence interval with 23 - 1 = 22 df, thus, looking at a calculator or at the t-table, it is found that t = 2.0739.

Then:

$\overline{x} - t\frac{s}{\sqrt{n}} = 24 - 2.0739\frac{9}{\sqrt{23}} = 20.1$

$\overline{x} + t\frac{s}{\sqrt{n}} = 24 + 2.0739\frac{9}{\sqrt{23}} = 27.9$

The 95% confidence interval for the mean number of people the houses were shown is (20.1, 27.9).

A similar problem is given at brainly.com/question/15180581

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