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3 years ago

What isequivalent to 3 root 8 1/4

1 answer:

maks197457 [2]3 years ago

5 0

$\bf 3\sqrt{8\frac{1}{4}}~\hfill \stackrel{mixed}{8\frac{1}{4}}\implies \cfrac{8\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{33}{4}} \\\\\\ 3\sqrt{\cfrac{33}{4}}\implies 3\cdot \cfrac{\sqrt{33}}{\sqrt{4}}\implies 3\cdot \cfrac{\sqrt{33}}{\sqrt{2^2}}\implies \cfrac{3\sqrt{33}}{2}$

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Rob is saving to buy a new MP3 player. For every $11 he earns babysitting, he saves $6. On Saturday, Rob earned $44 babysitting.

Anon25 [30]

Answer:

Rob saved $24 on Saturday.

Step-by-step explanation:

Given:

Rob is saving to buy a new MP3 player.

Money earned in baby sitting = $11

Money saved =$6

First we will find the Percentage of amount he saved.

Percentage of amount he saved can calculated by Amount saved divided by total money earned and then multiplying by 100.

framing in equation form we get;

Percentage of amount he saved = $\frac{6}{11} \times 100 \approx 54.55\%$

Now Given:

Money earned in babysitting on Saturday = $44

We need to find the Money he saved on Saturday.

Money Saved can be calculated by Percentage of amount he saved multiplying by Money earned in babysitting on Saturday and then divided by 100.

framing in equation form we get;

Money Saved on Saturday = $\frac{54.55}{100}\times 44 = \$24$

Hence Rob saved $24 on Saturday.

8 0

3 years ago

Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probabi

r-ruslan [8.4K]

Answer:

15.85%

Step-by-step explanation:

The empirical rule states that:

68% of all data falls within 1 standard deviation of the mean
95% of all data falls within 2 standard deviation of the mean
99.7% of all data falls within 3 standard deviation of the mean

When we say 1,2,3 standard deviation of the mean, that is, it is evenly distributed in both sides of the mean. For example:

68/2 = 34% of data falls within mean - 1*standard deviation, and

also, 34% of data falls within mean + 1*standard deviation

Now, we see that 192 - 27 = 165, so this is 1 standard deviation of the mean [mean - 1*standard deviation], so 34% of data fall in that range.

But we want, data that ARE FEWER than 165. So, we use property of normal distribution.

Half of data (50%) is left of mean, of which 34% fall within 1 standard deviation So the remaining would fall fewer than 165.

That is 50 - 34 = 16 - 0.15 = 15.85%

Note: since 99.7% fall within 3 standard deviation of mean, so 100 - 99.7 = 0.3 which is distributed in both sides, so 0.3/2=0.15 is subtracted

6 0

3 years ago

8% as a fraction in simplest form

masha68 [24]

Answer: 2/25

Step-by-step explanation:

8% means 8/100

To reduce to the simplest fraction, divide through with a common factor of 4

Divide numerator by 4 = 2

Divide denominator by 4 = 25

Therefore, 8% = 2/25

I hope this helps.

3 0

3 years ago

A store charges 6% VAT on all sales. What is the total cost of a shirt marked at $30

AURORKA [14]

Answer:

$31.8

Step-by-step explanation:

Assuming the 6% tax is separate from the $30, we can use this equation:

Total = Cost + Tax (pretty self explanatory)

Method 1

Total = $30 + (6% * $30)

Total = $30 + $1.8

Total = $31.8

Method 2

Total = $30 * 1.06 (The 1 is the original cost, the .06 is the 6% tax)

Total = $31.8

8 0

3 years ago

Easy math question. 8 layers = 3/4 of an inch how thick is 6 layers ?

qwelly [4]

Answer:

3/32 inches is thick that lawyer suits

8 0

2 years ago

What isequivalent to 3 root 8 1/4​

What isequivalent to 3 root 8 1/4