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3 years ago

What is the average of 4 1/2, 3 1/3, 2, 2 1/6? I will give brainleist.

Mathematics

1 answer:

kotykmax [81]3 years ago

7 0

Answer:

Step-by-step explanation:

4 1/2 + 3 1/3 + 2 + 2 1/6

= 4 3/6 + 3 2/6 + 2 + 2 1/6

= 4 + 3 + 2 + 2 + 3/6 + 2/6 + 1/6

= 11 + 6/6

= 11 + 1

= 12

There are 4 numbers, therefore average = 12 ÷ 4 = 3

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Part A: Plot the points A(-8,7) and B(6,-9). Mark the halfway point on AB and label it point M. What are the coordinates of M? P

vredina [299]

Answer:

a. $M(x,y) = (-1,-1)$

b. $D(-4,-9)$

Step-by-step explanation:

Given

A(-8,7) and B(6,-9).

Solving (a):

Determine the Midpoint M;

This is calculated as follows;

$M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Where

$(x_1,y_1) = (-8,7)$

$(x_2,y_2) = (6,-9)$

Substitute these values in the formula

$M(x,y) = (\frac{-8+6}{2},\frac{7-9}{2})$

$M(x,y) = (\frac{-2}{2},\frac{-2}{2})$

$M(x,y) = (-1,-1)$

<em>Hence; the midpoint is (-1,-1)</em>

Solving (a):

Here, we have

C = (2,7)

M; Midpoint = (-1,-1)

Required: Determine D

This is calculated as follows;

$M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Where

$(x_1,y_1) = (2,7)$

$(x,y) = (-1,-1)$

Substitute these values in the formula

$(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})$

Solving for x2

$-1 = \frac{2 + x_2}{2}$

Multiply both sides by 2

$-2 = 2 + x_2$

Subtract 2 from both sides

$x_2 = -2 - 2$

$x_2 = -4$

Solving for y2

$-1 = \frac{7 + y_2}{2}$

Multiply both sides by 2

$-2 = 7 + y_2$

Subtract 7 from both sides

$y_2 = -2 - 7$

$y_2 = -9$

Hence, the coordinates of D is

$D(-4,-9)$

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4 years ago

How is 35 to 10 proportional to 7 to 5

KiRa [710]

If you simplify 35/10 both side divide by 7 is equal to 7/5

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3 years ago

Solve by the addition method: 2x-5y=18 ,3x+4y=4

alexgriva [62]

2 x - 5 y = 18 / * 4
3 x + 4 y = 4 / * 5 ( we will use the addition method )
--------------------------
8 x - 20 y = 72
+
15 x + 20 y = 20
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23 x = 92
x = 92 : 23
x = 4
8 - 5 y = 18
- 5 y = 18 - 8
- 5 y = 10
y = 10 : ( - 5 )
y = - 2
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( x, y ) = ( 4, - 2 )

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4 years ago

Two boys, starting at the same point, walk-in opposite directions for x meters, turn right and walk another y meters, and turn r

Alecsey [184]

Answer:

2y meters

Step-by-step explanation:

The first x meters are cancelled with the last x meters because after turning right two times they walk in the opposite direction that each of them started to walk.

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3 years ago

Suppose n people, n ≥ 3, play "odd person out" to decide who will buy the next round of refreshments. The n people each flip a f

blondinia [14]

Answer:

Assume that all the coins involved here are fair coins.

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c) Expected number of rounds: $\displaystyle \frac{2^{n - 1}}{n}$ .

Step-by-step explanation:

To decide the "odd" person, either of the following must happen:

There are $(n - 1)$ heads and $1$ tail, or
There are $1$ head and $(n - 1)$ tails.

Assume that the coins here all are all fair. In other words, each has a $50\,\%$ chance of landing on the head and a

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7 0

3 years ago