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2 years ago

15

The mean of 10,12,16,20,p,26 is 17.Find the value of p.

2 answers:

zavuch27 [327]2 years ago

7 0

Answer: " p = 18 " .
__________________________________________________
Explanation:
__________________________________________________
The [arithmetic] mean =

{the sum of all the values in the data set}
divided by {the number of values in the number set} ;
__________________________________________________
→ 17 = (<span>10 + 12 + 16 + 20 + 26 + p) / 6 ;

__________________________________________________
</span>→ (10 + 12 + 16 + 20 + 26 + p) = 17 * 6 ;

→ (p + 84) = 102

Subtract "84" from each side of the equation;
to isolate "p" on one side of the equation; & to solve for "p" ;

→ p + 84 – 84 = 102 – 84 ;

→ p = 18 .
_________________________________________________

The answer is: " p = 18 " .
_________________________________________________

Paha777 [63]2 years ago

3 0

There are 6 numbers total

17 * 6 = 102

10 + 12 + 16 + 20 + 26 = 84

p = 102-84 = 18

p = 18

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Sarah had 730 m of lace to decorate some dresses. She used 4 m of lace to decorate each dress and had 510 m of lace left. Then,

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Answer:
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Explanation:
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1 year ago

What are the next two terms after 1/8,2/7,3/6,4/5,...? And inductive reasoning for it

nydimaria [60]

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5 0

2 years ago

Find the coordinates of P so that P partitions AB in the ratio 3:4 with A(-9,-9) and B(5,-2).

ivolga24 [154]

The coordinates of point P are (-3 , -6)

Step-by-step explanation:

If point (x , y) partitions line AB where A = $(x_{1},y_{1})$ and B = $(x_{2},y_{2})$

at a ratio $m_{1}:m_{2}$ from A then:

1. $x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$

2. $y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

∵ P partitions AB in the ratio 3 : 4

∴ $m_{1}:m_{2}$ = 3 : 4

∵ A = (-9 , -9) and B = (5 , -2)

- Substitute the coordinates of points A and B in the rules above

∵ $x=\frac{(-9)(4)+(5)(3)}{3+4}$

∴ $x=\frac{-36+15}{7}$

∴ $x=\frac{-21}{7}$

∴ x = -3

The x-coordinate of P is -3

∵ $y=\frac{(-9)(4)+(-2)(3)}{3+4}$

∴ $y=\frac{-36+(-6)}{7}$

∴ $y=\frac{-42}{7}$

∴ y = -6

The y-coordinate of P is -6

The coordinates of point P are (-3 , -6)

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5 0

2 years ago

Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old

nataly862011 [7]

Answer:

Age of Mark $=10$ years

Age of Mark's dad $=30$ years

Age of Mark's sister $=8$ years

Step-by-step explanation:

Let age of Mark be $x$ years.

Mark's dad is three times older than Mark

Age of her Mark's dad $=3x$

Mark's sister is 2 years younger than Mark

Age of Mark's sister $=(x-2)$ years

The sum of their ages is 48.

$x+3x+x-2=48\\5x-2=48\\5x=50\\x=10$

Age of Mark $=x=10$ years

Age of Mark's dad $=3x=3(10)=30$ years

Age of Mark's sister $=x-2=10-2=8$ years

8 0

2 years ago