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2 years ago

13

What fraction of 3 is 2 2/5

1 answer:

Yuki888 [10]2 years ago

5 0

Answer: 2 2/5 is 4/5 of 3

Step-by-step explanation:

We can view that as what do we multiply 3 by to get 2 2/5 and call that value x

3x = 2 2/5

x = (2 2/5)/3

Let's turn 2 2/5 into an improper fraction... 2 2/5 = 12/5

So we have

x = (12/5)/3 = (12/5)(1/3) = 4/5

Thus 2 2/5 is 4/5 of 3

Verify: 3(4/5) = 12/5 = 2 2/5

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3 years ago

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Three classes have the same number of students. The teachers compared attendance on one Friday. Mr. Lopez had 92.5% of his stude

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Suppose the number of students in one of the classes is :

$x$

So ;

$Mr.Lopez \: \: had \: \: \frac{92.5}{100}x \\$

_________________________________

$Mrs.Foster \: \: had \: \: \frac{19}{20} x \\$

So :

$Mrs.Foster \: \: had \: \: \frac{19 \times 5}{20 \times 5} x \\$

$Mrs.Foster \: \: had \: \: \frac{95}{100}x \\$

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

$Ms.Kelly \: \: had \: \: 0.9x$

$Ms.Kelly \: \: had \: \: \frac{9}{10} x \\$

$Ms.Kelly \: \: had \: \: \frac{90}{100} x \\$

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Compare :

$\frac{95}{100} x > \frac{92.5}{100} x > \frac{90}{100} x \\$

Thus :

$Mrs.Foster’s \: \: class \: > \: Mr.Lopez’s \: \: class \: > \: Ms.Kelly’s \: \: class \\$

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3 years ago

A research company desires to know the mean consumption of milk per week among males over age 25. A sample of 650 males over age

Advocard [28]

Answer:

$3.3\leq x\leq 3.5$

Step-by-step explanation:

The 95% confidence interval can be calculated as:

$x'-z_{\alpha/2}\frac{s}{\sqrt{n}} \leq x\leq x'+z_{\alpha/2}\frac{s}{\sqrt{n}}$

Where $x$ is the mean consumption of milk, $x'$ is the sample mean, $s$ is the population standard deviation, $n$ is the size of the sample, $\alpha$ is 5% and $z_{\alpha /2}$ is the z-value that let a probability of $\alpha /2$ on the right tail.

So, replacing $x'$ by 3.4 liters, $s$ by 1.3 liters, n by 650 and $z_{\alpha /2}$ by 1.96, we get that the 95% confidence interval is equal to:

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