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3 years ago

Plz help me solve this

Mathematics

1 answer:

lidiya [134]3 years ago

6 0

Answer:

x = 4√2 or ≈ 5.66

Step-by-step explanation:

AB = √5²-3² = √16 = 4
AB=AC ⇒ BC = AB√2
x = 4√2 ≈ 5.66

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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

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

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4 years ago

In February, Alec had 1,568 visitors to his website. In March, he had 1,335 visitors to his website. What is the percentage decr

shusha [124]

Answer:7.5%

Step-by-step explanation:

decrease the number of visitors from Alec´s website from February to the next month.

4 0

3 years ago

-4(-3x - 7) whats the answer

kiruha [24]

12x+28 is the simplified expression

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3 years ago

Read 2 more answers

8. Find the slope-intercept form for the equation of the

sashaice [31]

Answer:

$y=\frac{1}{9}x$

Step-by-step explanation:

We are given that the lines passes trough the points (-9, -1) and (0,0).

(0,0) is the origin.

Slope is: $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{0-(-1)}{0-(-9)} =\boxed{\frac{1}{9}}$

The slope is one-ninth.

Since the lines passes at the origin, it's y-intercept is 'zero'. We do not write zeros in slope-intercept equations, to the equation of the line should be:

$y=\frac{1}{9}x$

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4 years ago

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frutty [35]

Answer:

This your answer to your problem!!!

Step-by-step explanation:

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3 years ago