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3 years ago

What is 3 1/2 times 4?

Mathematics

2 answers:

ANEK [815]3 years ago

6 0

Answer: 14

Step-by-step explanation: To multiply a mixed number times a whole number, first write each of them as an improper fraction.

So we can rewrite 3 and 1/2 as the improper fraction 7/2

and we can write 4 as the improper fraction 4/1.

<em>If you've forgotten how to write a mixed number as an improper fraction, feel free to ask me below and I will review this with you.</em>

So now we have 7/2 × 4/1.

When we're multiplying fractions, we want to

cross-cancel first whenever possible.

So here, notice that we can cross-cancel 2 and 4 to 1 and 2.

So we have 7/1 × 2/1.

Now we just multiply across the numerators and multiply across the denominators and we have our answer, 14/1 or just 14.

devlian [24]3 years ago

5 0

Answer:

Step-by-step explanation:

3 1/2 × 4

Convert 3 1/2 to an improper fraction.

7/2 × 4

7/2 × 4/1

Multiply.

(7× 4) / (2 × 1)

28 / 2

= 14

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3 years ago

Read 2 more answers

What is an example of when you would want consistent data and, therefore, a small standard deviation?

steposvetlana [31]

Answer:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

$\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271$

And for the standard deviation we can use the following formula:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And after replace we got:

$s = 0.1496$

And as we can ee we got a small value for the deviation <1 on this case.

Step-by-step explanation:

For example if we have the following data:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

We see that the data are similar for all the observations so we would expect a small standard deviation

If we calculate the sample mean we can use the following formula:

$\bar X=\frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271$

And for the standard deviation we can use the following formula:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And after replace we got:

$s = 0.1496$

And as we can ee we got a small value for the deviation <1 on this case.

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