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3 years ago

The mean of 20,12,29,15,49

1 answer:

8 0

To find the mean of this set of data you must add all the numbers together, then divide by the numbers that you have. Since you have 5 numbers you would divide by 5 after adding them together.

1st: ADD!!
20 + 12 + 29 + 15 + 49 = 125

2nd: divide by 5!
125 ÷ 5 = 25

So the mean of this data set is 25.

Good Luck! :)

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Decide if the situation involves a permutation... anyone?

ehidna [41]

Each medal is different and is handed out depending on the outcome of the race/order of the racers, so we're counting the number of permutations. 4 medals are given to 4 runners, so there are

$4!=4\cdot3\cdot2\cdot1=24$

possible ways to do it.

4 0

3 years ago

Find the product please and thank you

crimeas [40]

You would multiply the power by the powers of both exponents
2 × 3 = 6 so a^6
3 × 4 = 12 so b^12
Answer is
a^6b^12

4 0

3 years ago

What is the area of the sector with a central angle of 49° and a radius of 11 cm? Use 3.14 for pi and round your final answer to

olga_2 [115]

Answer:

$\boxed{\text{51.71 cm}^{2}}$

Step-by-step explanation:

If the angle θ is in radians, the formula for the area (A) of a sector of a circle is

A = ½r²θ

If θ is in degrees

$A = \dfrac{1}{2}r^{2}\theta \times \dfrac{\pi \text{ rad}}{180^{\circ}}= \pi r^{2}\times\dfrac{\theta }{360}$

Data:

θ = 49°

r = 11 cm

Calculation:

$\begin{array}{rcl}A& = &3.14\times 11^{2}\times\dfrac{49}{360}\\\\ & = &3.14 \times 121 \times 0.1361\\ & = & \mathbf{51.71}\\\end{array}\\\text{The area of the sector is }\boxed{\textbf{51.71 cm}^{2}}$

4 0

3 years ago

(x+2y = 10 16y=-3x+30

Harlamova29_29 [7]

Answer:

x = 10, y = 0

Step-by-step explanation:

x + 2y = 10

x = 10 - 2y (Bring the 2y to the right)

16y = -3x + 30

16y = -3(10 - 2y) + 30 (Substitute x to 10 - 2y)

16y = -30 + 6y + 30 (Expand brackets)

10y = 0 (Bring y to the left)

y = 0

x = 10 - 2(0) (Substitute y = 0)

x = 10

x = 10, y = 0

7 0

3 years ago

HELP ME WITH MATH PLS

Natasha2012 [34]

Answer: y = (xm)/3 + b

Step-by-step explanation:

1. Multiply m on both sides

x × m = 3(y - b)

2. Divide by 3 on both sides

(xm)/3 = y - b

3. Add b on both sides

y = (xm)/3 + b

8 0

3 years ago