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2 years ago

What measures of spread is an average distance from the mean?

Mathematics

1 answer:

MrMuchimi2 years ago

7 0

Answer:

Step-by-step explanation:

The idea behind the standard deviation is to quantify the spread of a distribution by measuring how far the observations are from their mean. The standard deviation gives the average (or typical distance) between a data point and the mean.

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It takes three identical water pumps 8 hours to fill a pool, What is the constant of variation?

BaLLatris [955]

Answer:

Constant of variation is 24.

Step-by-step explanation:

Inverse variation states that a relationship between two variables in which the product is remain constant.

If one variable increases then, the other one decreases in proportion so that the product is unchanged,

if y is inversely proportional to x i.e $y \propto\frac{1}{x}$ or

$y =\frac{k}{x}$ ;where k is the constant of variation.

It is given that 3 identical water pumps takes 8 hours to fill a pool,

since, it will take less time with more pumps, so it is an inverse variation.

By definition of inverse variation;

$time = \frac{k}{pump}$

Substitute the values to solve for k;

$8 = \frac{k}{3}$

Multiply by 3 to both sides we get;

$8 \times 3 = \frac{k}{3} \times 3$

Simplify:

k = 24

Therefore, the constant of variation is, 24

3 0

3 years ago

Find the perimeter and the area of each shape. Give your answer as a completely simplified exact value in terms of π (no approxi

nydimaria [60]

Answer:

Circumference: 12π + 8 cm,

Area: 48 ( cm )^2

Step-by-step explanation:

This figure is composed of circles, squares, and semicircles. As you can see, the squares indicate that each semicircle should have ( 1 ) the same area, and ( 2 ) the same length ( circumference ). It would be easier to take the circumference of the figure first, as it is composed of arcs part of semicircles the same length.

Circumference of 1 semicircle = $\frac{1}{2}$ ( πd ) = $\frac{1}{2}$ π( 4 ) = 2π ( cm )

Circumference of Figure (composed of 6 semicircles + 2 sides of a square),

We know that 6 semicircles should be 6 $*$ 2π, and as the sides of a square are equal - if one side is 4 cm, the other 3 are 4 cm as well. Therefore the " 2 sides of a square " should be 2

Circumference of Figure = 6 $*$ 2π + 2 = 12π + 8 ( cm )

_____________

The area of this figure is our next target. As you can see, it is composed of 3 semicircles, and the area of 3 semicircles subtracted from the area of 3 squares. Therefore, let us calculate the area of 1 semicircle, and the area of 1 square first.

Area of 1 semicircle = 1/2π $r^2$ = 1/2π $(2)^2$ = 2π ( cm ),

Area of 1 square = ( 4 cm )( 4 cm ) = 16 ( $cm^2$ )

So, the area of the figure should be the following -

Area of Figure = 3 $*$ 2π + 3( 16 - 2π ) = 48 ( cm )^2

3 0

2 years ago

What is the value of x in the equation 4x + 8y = 40, when y = 0.8?

storchak [24]

To find your answer you must substitute y for 0.8
4x + (8)(0.8) = 40
Now solve for x
====================================================================
SOLVING...

4x + (8)(0.8) = 40
4x + 6.4 = 40

Subtract 6.4 from each side
4x+ 6.4 − 6.4 = 40 − 6.4
4x = 33.6

Divide each side by 4
4x ÷ 4 = 33.6 ÷ 4
x = 8.4

3 0

3 years ago

Read 2 more answers

What linear function equation can be represented by the set of ordered pairs?

BaLLatris [955]

Y = (3/4)x - 3
Use two of the ordered points to find the slope.
Then use the slope and one of the ordered pairs to find the y-intercept.

3 0

3 years ago

Read 2 more answers

Can someone help me simplify this?

nasty-shy [4]

Answer: