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3 years ago

Find the median if this set of numbers: 7, 6, 19, 12, 16, 19, 19, 6

Mathematics

1 answer:

tankabanditka [31]3 years ago

6 0

Answer:

Step-by-step explanation:

Order the numbers from smallest to largest, then cross one number off until you have one or two numbers left.

If there is an EVEN number of numbers(like this one): there will be two numbers left, therefore you add those two numbers together, then divide by two.

If there is an ODD number of numbers: there will be one number left, therefore that is your answer!

Hope this helps!

-PusheenDaCat1017

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Verizon [17]

If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show

$\displaystyle \int_a^b f(x) \, dx = b f(b) - a f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) \, dx$

Let $f(x) = \sqrt{1 + x^3}$ . Compute the inverse:

$f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}$

and we immediately notice that $f^{-1}(x+1)=\sqrt[3]{x^2+2x}$ .

So, we can write the given integral as

$\displaystyle \int_0^2 f^{-1}(x+1) + f(x) \, dx$

Splitting up terms and replacing $x \to x-1$ in the first integral, we get

$\displaystyle \int_1^3 f^{-1}(x) \, dx + \int_0^2 f(x) \, dx = 2 f(2) - 0 f(0) = 2\times3+0\times1=\boxed{6}$

7 0

2 years ago

Samantha is making flower arrangements. She has 32 roses and 96 daisies. If she wants to make all the arrangements identical and

-Dominant- [34]

Answer:

3 daisies.

Step-by-step explanation:

Given that,

Samantha has 32 roses and 96 daisies.

She wants to make all the arrangements identical and have no flowers left over. We need to find the no of daisies in each flower arrangement.

For this, we need to first find the HCF of 32 and 96.

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

HCF = 32

No of daisies = 96/32 = 3

Hence, there are 3 daisies in each flower arrangement.

7 0

3 years ago

How many days dose it take Tim to clear 1 acre

maria [59]

Depends i need more info

3 0

3 years ago

Free PTS_______<br>free

EleoNora [17]

Answer:

thank you

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The area of a rectangle is 21 yd.² and the length of a rectangle is 1 yard or less than twice the width find the dimensions of t

emmasim [6.3K]

Answer:

length = 6 yards

width = 3.5 yards

Step-by-step explanation:

the length of a rectangle is 1 yard less than twice the width

LEt 'w' be the width of the rectangle

and 'l' be the length of the rectangle

length l = 2 times the width -1

so l = 2w -1

Area of the rectangle = length * width

Area = l * w

we know length is 2w-1 and given area = 21

21 = (2w-1) * w

$21= 2w^2 - w$

subtract 21 on both sides

$0= 2w^2 - w - 21$

now solve for 'w'

$0= 2w^2 +6w -7w- 21$

0 = 2w(w+3)-7(w+3)

0= (2w-7)(w+3)

2w-7 = 0 and w+3 =0

w = 7/2 w=-3

width cannot be negative so we ignore w=-3

width w= 3.5

length = 2w-1= 2(3.5) - 1= 7-1=6

length = 6 yards

5 0

3 years ago

Find the median if this set of numbers: 7, 6, 19, 12, 16, 19, 19, 6 ​

Find the median if this set of numbers: 7, 6, 19, 12, 16, 19, 19, 6