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3 years ago

Help please! Using the graph below determine which statement is true

Mathematics

1 answer:

JulsSmile [24]3 years ago

4 0

Answer:

The answer is 'C' "The slope of line BC is equal to the slope of line segment DE"

Step-by-step explanation:

This is correct. I checked my answer for this about 3 times. If this isn't correct then my next bet is answer 'D'

{-Please give me credit for trying, Thank you-}

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Find the cdf F(x) associated with each of the following probability density functions. Sketch the graphs of f(x) and F(x).

wolverine [178]

Answer:

See steps below

Step-by-step explanation:

$\bf f(x)=3(1-x)^2\;(0$

$\bf F(x)=\int_{0}^{x}f(t)dt=\int_{0}^{x}3(1-t)^2dt=3\int_{0}^{x}(1-t)^2=1-(1-x)^3$

The cdf associated with f is

$\bf \boxed{F(x)=1-(1-x)^3}$ for 0<x<1

<h3>See picture 1 </h3>

The median is a point x such that

F(x) = ½

so, the median is

$\bf 1-(1-x)^3=1/2\rightarrow (1-x)^3=1/2\rightarrow \boxed{x=1-\sqrt[3]{2}}$

The 25th percentile equals the 1st quartile and is a point x such

F(x) = ¼

and the 25th percentile is

$\bf 1-(1-x)^3=1/4\rightarrow (1-x)^3=3/4\rightarrow \boxed{x=1-\sqrt[3]{3/4}}$

$\bf f(x)=\frac{1}{x^2}\;(1$

$\bf F(x)=\int_{1}^{x}f(t)dt=\int_{1}^{x}\frac{dt}{t^2}=1-\frac{1}{x}$

The cdf associated with f is

$\bf \boxed{F(x)=1-\frac{1}{x}}$ for x>1

<h3>See picture 2 </h3>

The median is

$\bf 1-\frac{1}{x}=\frac{1}{2}\rightarrow \boxed{x=2}$

The 25th percentile is

$\bf 1-\frac{1}{x}=\frac{1}{4}\rightarrow \boxed{x=4/3}$

f(x) = 1/3 for 0<x<1 or 2<x<4

$\bf F(x)=\int_{0}^{x}\frac{dt}{3}=\frac{x}{3}\;(0$

$\bf F(x)=\frac{1}{3}+\int_{2}^{x}\frac{dt}{3}=\frac{1}{3}+\frac{x-2}{3}=\frac{x-1}{3}\;(2$

The cdf associated with f is

$\bf F(x)=\frac{x}{3}$ for 0<x<1

$\bf F(x)=\frac{x-1}{3}$ for 2<x<4

<h3>See picture 3 </h3>

The median is

$\bf \frac{x-1}{3}=1/2\rightarrow x=1+3/2\rightarrow \boxed{x=5/2}$

The 25th percentile is

$\bf \frac{x}{3}=1/4\rightarrow \boxed{x=3/4}$

4 0

4 years ago

Here is a prism.

Sonbull [250]

The required volume of the prism is 48 cubic centimeters

<h3>Volume of a prism. </h3>

The formula for calculating the volume of a prism is expressed as:

V = lwh

where l is the side length

w is the width

h is the height

Given the following

l = 2 cm.

Height 2cm

Width 12 cm

Substitute

V = 2(2)(12)

V = 48 cubic centimeters

Hence the required volume of the prism is 48 cubic centimeters

Learn more on volume of prism here: brainly.com/question/23766958

#SPJ1

3 0

2 years ago

What is the first step needed to solve x-3 =-18? O Add 3 to both sides O Subtract 18 from both sides O Multiply both sides by 3

aev [14]

Answer:

Add 3 to both sides

6 0

4 years ago

Read 2 more answers

Plz help !! Needed to graduate if picture doesn’t show it is probably loading

coldgirl [10]

$17 {x}^{2} - 12x = 0 \\ x(17x - 12) = 0 \\ x = 0 \\ 17x - 12 = 0 \\ 17x = 12 \\ x = \frac{12}{17}$ ,
x=0

3 0

3 years ago

The perpendicular bisector or to the line segment with an points(-4,9) and (8,5). The equation of the line is

sergij07 [2.7K]

The equation of the line is x=5/8y

8 0

4 years ago