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3 years ago

Write 0.72 repeated as a simplified fraction

Mathematics

1 answer:

ZanzabumX [31]3 years ago

5 0

Alright, give me a few seconds to write out the formula and process for you.

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Which expression is equivalent to 144^3/2

Tju [1.3M]

Answer:

$\large\boxed{144^\frac{3}{2}=1728}$

Step-by-step explanation:

$\sqrt[n]{a^m}=a^\frac{m}{n}\\\\144^\frac{3}{2}=144^{1\frac{1}{2}}=144^{1+\frac{1}{2}}\qquad\text{use}\ a^na^m=a^{n+m}\\\\=144^1\cdot144^{\frac{1}{2}}=144\sqrt{144}=144\cdot12=1728$

6 0

3 years ago

Under his cell phone plan, Bentley pays a flat cost of $64.50 per month and $4 per gigabyte. He wants to keep his bill at $78.90

Ira Lisetskai [31]

Answer:

3.6 gB

Step-by-step explanation:

You can think of this question in terms of the y = mx+b equation.

$78.90 is y because it is the total amount per month, $4 is m because it is the cost per gB, and $64.50 is b because it is the flat rate.

78.9 = 4x + 64.5

4x = 14.4

x = 3.6 gB of data (or 3 if it wants a whole number)

7 0

3 years ago

Select the correct answer from each drop-down menu.

erik [133]

Answer:

Grades 6 and 8

Step-by-step explanation:

If the relationship of girls to boys in two different grades are proportional, they must have the same ratio. To tackle this problem, we can find the ratios of genders in each grade and compare them.

Step 1, finding ratios:

Finding ratios is just like simplifying fractions. We will reduce the numbers by their greatest common factors.

GRADE 6:

$9:12=\\3:4$

GRADE 7:

$12:18=\\2:3$

GRADE 8:

$15:20=\\3:4$

GRADE 9:

$25:36$

Can't be simplified!

Step 2:

Notice how grades 6 and 8 both had a ratio of 3:4. We can conclude that these two grades have a proportional relationship between girls and boys.

I hope this helps! Let me know if you have any questions :)

8 0

3 years ago

Find the range, mean, and standard deviation of the data set (3, 6, 9, 11, 15, 16) The range is 13 (Type a whole number.) The me

iris [78.8K]

Answer: The range is 13. The mean is 10. The standard deviation is 4.62 .

Step-by-step explanation:

The given data : 3, 6, 9, 11, 15, 16

Total number of data values : n = 6

The mean of data is given by :-

$\overline{x}=\dfrac{\sum^6_{i=1}x_i}{n}\\\\\Rightarrow\overline{x}=\dfrac{60}{6}=10$

The standard deviation is given by :-

$\sqrt{\dfrac{1}{n}(\sum^6_{i=1}(x_i-\overline{x})^2)}\\\\=\sqrt{\dfrac{1}{6}(\sum^6_{i=1}(x_i-10)^2)}\\\\=\sqrt{\dfrac{1}{6}\times(49+16+1+1+25+36)}=4.61880215352\approx4.62$

The range of the data : Maximum value -Minimum value

$=16-3=13$

6 0

3 years ago

Please help me with this question!

nika2105 [10]

Answer:

Step-by-step explanation:

3 0

3 years ago