All categories

2 years ago

Two data sets have the same mean,

1 answer:

5 0

For Data Set B, we see that the data is more varied. The absolute deviations are 4, 3, 2, 5. The average of these absolute deviations is 3.5. MAD_B = (4+3+2+5)/4 =3.5 M ADB

Hence, The average of these absolute deviations is 3.5.

You might be interested in

Explain how to determine the x- and y- intercepts of a line from a given equation in y = mx + b form.

NISA [10]

Answer:

Step-by-step explanation:

x-intercept: Set y = 0 and solve for x:

0 = mx + b, or mx = -b, or x = -b/m. x-intercept is then (-b/m, 0)

y-intercept: Set x = 0 and solve for y: y = m(0) + b, or y = b. y-intercept is then

(0, b).

3 0

3 years ago

Solve the equation for x: 6-(4x-2)/5=x

Mila [183]

Probably 3 5/9 around that I’m pretty sure

3 0

3 years ago

1 х Given g(x)=

yarga [219]

(a) Since $g(x)=\sqrt[3]{x}$ and $h(x) = \frac1{x^3}$ , we have

$(g\circ h)(x) = g(h(x)) = g\left(\dfrac1{x^3}\right) = \sqrt{3}{\dfrac1{x^3}} = \dfrac1x$

We're given that

$(f \circ g \circ h)(x) = f(g(h(x))) = f\left(\dfrac1x\right) = \dfrac x{x+1}$

but we can rewrite this as

$\dfrac x{x+1} = \dfrac{\frac xx}{\frac xx + \frac1x} = \dfrac1{1+\frac1x}$

(bear in mind that we can only do this so long as x ≠ 0) so it follows that

$f\left(\dfrac1x\right) = \dfrac1{1+\frac1x} \implies \boxed{f(x) = \dfrac1{1+x}}$

(b) On its own, we may be tempted to conclude that the domain of $(f\circ g\circ h)(x) = \frac1{1+x}$ is simply x ≠ -1. But we should be more careful. The domain of a composite depends on each of the component functions involved.

$g(x) = \sqrt[3]{x}$ is defined for all x - no issue here.

$h(x) = \frac1{x^3}$ is defined for all x ≠ 0. Then $(g\circ h)(x) = \frac1x$ also has a domain of x ≠ 0.

$f(x) = \frac1{1+x}$ is defined for all x ≠ -1, but

$(f\circ g\circ h)(x)=f\left(\frac1x\right) = \dfrac1{1+\frac1x}$

is undefined not only at x = -1, but also at x = 0. So the domain of $(f\circ g\circ h)(x)$ is

$\left\{x\in\mathbb R \mid x\neq-1 \text{ and }x\neq0\right\}$

7 0

3 years ago

A non-integer answer should be entered as a decimal, rounded to the hundredths place.

Nostrana [21]

AnswerDistance = 16.28

Step-by-step explanation:

6 0

3 years ago

A common formula to convert a Fahrenheit temperature (F) to a Celsius temperature (C) is C = 5 9 (F - 32) Solve the temperature

murzikaleks [220]

To find how many degrees Celsius, divide your number in Fahrenheit by 5/9 (or approximately 0.56), then subtract 32. As an example we'll convert 90 degrees Fahrenheit into Celsius.

C = 5/9f - 32
C = 5/9 x 90 -32
C = 50.4 -32
C = 18.4

8 0

4 years ago