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4 years ago

Evaluate ³√-8 please help.

Mathematics

2 answers:

egoroff_w [7]4 years ago

5 0

-8=-2^3 so the answer is -2.

MrRa [10]4 years ago

5 0

-8 to the 1/3 power is -2

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If h = 3.7 then what is 0.8 + h?

Gnoma [55]

H=3.7
Then 0.8+h=0.8+3.7
=4.5

4 0

4 years ago

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

A number minus 5 is greater than 25?

yuradex [85]

X- 5>25 if you need to write out the equation

3 0

3 years ago

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Marta ate a quarter of a whole pie. Edwin ate 1/4 of what was left. Cristina then ate 1/3 of what was left. What fraction of the

Stells [14]

After Martha ate 1/4 of the pie there is 3/4 left.

Edwin ate 1/4 of 3/4.

so multiply 1/4 and 3/4 ---> 1/4*3/4=3/16

to find the leftover subtract 3/16 from 3/4

3/4-3/16

12/16-3/16=9/16

Christina ate 1/3 of 9/16

multiply 1/3 by 9/16

1/3*9/16=3/16

find the leftover by subtracting 3/16 from 9/16

9/16-3/16=6/16

divide by 2

3/8

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4 years ago

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How would I solve 4 1/19 × 1 10/21 ?

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4 years ago

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