7) Find the sample standard deviation. 22 29 21 24 27 28 25 36

Mathematics

1 answer:

Archy [21]4 years ago

3 0

Answer:

26.5

Step-by-step explanation:

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The polygons are similar. Find the value of x and y.

harina [27]

Answer:

x = 9, y = 27

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

$\frac{x-1}{6}$ = $\frac{16}{12}$ ( cross- multiply )

12(x - 1) = 96 ( divide both sides by 12 )

x - 1 = 8 ( add 1 to both sides )

x = 9

Also

$\frac{y+1}{21}$ = $\frac{16}{12}$ ( cross- multiply )

12(y + 1) = 336 ( divide both sides by 12 )

y + 1 = 28 ( subtract 1 from both sides )

y = 27

3 0

3 years ago

Brianna went shopping at Forever 21 and spent a total of $68. Her purchase included a pair of jeans at $32 and t-shirts for $12

Blizzard [7]

Answer:

68 = 12t + 32

3 0

3 years ago

Find the equation of the line that passes through the point (7,5) and is perpendicular to the line 2x - 3y=6

balu736 [363]

$(7,5);\ \ \ \ 2x - 3y=6 \ \ / subtract \ 2x \ from \ each \ side \\ \\-3y = -2x + 6\ \ / divide \ each \term \ by \ (-3) \\ \\ y = \frac{2} {3}x -2\\ \\ The \ slope \ is :m _{1} = \frac{ 2}{3} \\ \\ If \ m_{1} \ and \ m _{2} \ are \ the \ gradients \ of \ two \ perpendicular \\ \\ lines \ we \ have \\\\\ m _{1}*m _{2} = -1$

$\frac{2}{3}\cdot m_{2}=-1\ \ / \cdot (\frac{3}{2})\\\\m_{2}=-\frac{3}{2}\\\\Now \ your \ equation \ of \ line \ passing \ through \ (7,5) would \ be: \\ \\ y=m_{2}x+b \\ \\5=-\frac{3}{2}\cdot 7 + b \\ \\ 5= -\frac{21}{2}+b\\ \\b=5+\frac{21}{2} \\ \\b= \frac{10}{2}+\frac{21}{2}\\ \\b= \frac{31}{2}\\\\b=15.5 \\ \\ y = -\frac{3}{2}x +15.5$

8 0

3 years ago

Point M is the midpoint of AB. The coordinates of point A are (-8, 3) and the coordinates of M are (-2, 1). What are the coordin

ch4aika [34]

Answer:

the coordinates of point B are (-5, 2)

Step-by-step explanation:

1. use midpoint formula to find the midpoint (equation attached below)

2. plug in the numbers

$(\frac{-8+(-2)}{2},\frac{3+1}{2})$