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3 years ago

What is the mean absolute deviation of the set 85 90 65 75 79

Mathematics

1 answer:

Gnom [1K]3 years ago

5 0

Answer:

78.8

Step-by-step explanation:

85+90+65+75+79

=78.8

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Simplify (8^4/10^4)^-1/4using rational exponents

Vlad1618 [11]

Answer:

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$ = $\frac{5}{4}$

Step-by-step explanation:

Explanation

Given

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$

By using algebra formulas

$(\frac{a}{b} )^{m} = \frac{a^m}{b^n}$

$(\frac{8^4}{10^4} )^{-\frac{1}{4} } = \frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } }$

$(a^{m} )^{n} = a^{mn}$

$\frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } } = \frac{8^{4X\frac{-1}{4} } }{10^{4 X\frac{-1}{4} } }$

= $\frac{8^{-1} }{10^{-1} }$

$= \frac{10}{8} \\= \frac{5}{4}$

Final answer:-

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$ = $\frac{5}{4}$

7 0

3 years ago

Last year the population of Spoon Forks grew from 1250 to 1300. If the population of the town grows by the same percent this yea

Reptile [31]

Answer:

1352

Step-by-step explanation:

Firstly, we get the percentage growth last year. This is calculated as:

(1300-1250)/1250 * 100

= 4%

Now, we are assuming the growth rate is constant. So let’s calculate a 4% growth rate for this year. That would be:

4/100 * 1,300 = 52

The population this year would thus be 1300 + 52 = 1352

4 0

3 years ago

In a class of 29 students, 9 play an instrument and 23 play a sport. There are5

GenaCL600 [577]

Answer:

5/23

Step-by-step explanation:

23 play a sport and 5 play both an instrument and a sport so 5 out of 23 play an instrument given that they play a sport

3 0

2 years ago

jake can carry 6 1/4 pounds of wood in from the barn. his father can carry 1 5/7 times as much as jake. how many pounds can jake

Andrej [43]

Dear Jat2324, Jake's father can carry 10 5/7 pounds of wood.
My name is Gordan and I like turtles.
My name is Gordan and I like turtles.

7 0

3 years ago

Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

4 0

11 months ago