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3 years ago

How many whole numbers less than 1000 have the sum of the digits equal to 4? Show all of the numbers.

Mathematics

1 answer:

notka56 [123]3 years ago

5 0

Answer:

2+2

3+1

1+1+1+1

2+1+1

4+0

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Let X be a continuous random variable with density functionf(x)={1−|x|0 for −1

BlackZzzverrR [31]

Answer:

$f_Y (y) =\frac{d}{dy} = 2 \frac{1}{2 |\sqrt{y}|} -1 = \frac{1}{|\sqrt{y}|} -1,0 \leq Y\leq 1$

Step-by-step explanation:

For this case we want to find the density function for $Y=X^2$

And we have the following density function for the random variable X:

$f(X) = 1- |X|,-1 \leq X \leq 1$

So we can do this replacing $Y=X^2$

$F_Y (Y \leq y) = P(X^2 \leq y)$

If we apply square root on both sides we got:

$P(-\sqrt{y} \leq X \leq \sqrt{y}) = \int_{-\sqrt{y}}^0 1+t dt +\int_{0}^{\sqrt{y}} 1-t dt$

And if we integrate we got this:

$F_Y (y) = [t+ \frac{t^2}{2}] \Big|_{-\sqrt{y}}^0+ [t -\frac{t^2}{2}] \Big|_{0}^{\sqrt{y}}$

And replacing we got:

$F_Y (y) = [0 -(-\sqrt{y} +\frac{y}{2})] + [\sqrt{y} -\frac{y}{2}]$

$F_Y (y) = 2 |\sqrt{y}| -y$

And if we want to find the density function we just need to derivate the pdf like this:

$f_Y (y) =\frac{d}{dy} = 2 \frac{1}{2 |\sqrt{y}|} -1 = \frac{1}{|\sqrt{y}|} -1,0 \leq Y\leq 1$

3 0

4 years ago

How do you simplify 19/228

Brilliant_brown [7]

you find what they both divide by and then divide each one and then you keep doing that until you cant no more

3 0

4 years ago

Read 2 more answers

On a scale drawing of an office space floor plan...

ki77a [65]

Answer: 16. 21ft

17. 116.67mi or ≈117mi

18. 1,377,795in or 3,499.993m or ≈3500m

How we would calculate each of these: For number 16, you would set up a proportion of 1/3=7/x and then simplify this to 1x=21 which results in you dividing 1 from both sides of the equation and getting 21 as x, or the amount of feet. For number 17, you would do the same thing except with the different numbers. You set up another proportion. 3/50=7/x and then simplify to 3x=350. Divide the 3 on both sides and you get x=116.67mi to which you can round to 117mi if you like. For number 18, you must convert the 3.5 kilometers to inches and get 1,377,795in and then you can convert those inches into meters which would be 3,499.993m or you can round it to around 3500m.

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3 years ago

Find the Slope and Y- intercept of the line

lara [203]

Find slope by calculating rise over run (can pick whatever points are easiest for you). I'm choosing (0,2) and (-3,0)

(0-2)/(-3-0)
(-2)/(-3)
2/3

Slope=2/3

Y intercept is the value of y when x is 0. We can look to see the y intercept is 2.

Final answer: D

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4 years ago

6. Is the simplified form of 2 square root of 3 − 2 square root of 3 rational? (1 point) Yes No

Butoxors [25]

Answer:

Step-by-step explanation:

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