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3 years ago

800 grams is how many pounds

1 answer:

5 0

2.2 lb is equivalent to 1 kg. Therefore,

800 grams 1 kg 2.2 lb
---------------- * ----------- * ------------ = 1.76 lb (answer)
1 1000 g 1 kg

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Suppose that the length of a side of a cube X is uniformly distributed in the interval 9

Nastasia [14]

Answer:

$f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.$

Step-by-step explanation:

Given

$9 < x < 10$ --- interval

Required

The probability density of the volume of the cube

The volume of a cube is:

$v = x^3$

For a uniform distribution, we have:

$x \to U(a,b)$

and

$f(x) = \left \{ {{\frac{1}{b-a}\ a \le x \le b} \atop {0\ elsewhere}} \right.$

$9 < x < 10$ implies that:

$(a,b) = (9,10)$

So, we have:

$f(x) = \left \{ {{\frac{1}{10-9}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

Solve

$f(x) = \left \{ {{\frac{1}{1}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

$f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

Recall that:

$v = x^3$

Make x the subject

$x = v^\frac{1}{3}$

So, the cumulative density is:

$F(x) = P(x < v^\frac{1}{3})$

$f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$ becomes

$f(x) = \left \{ {{1\ 9 \le x \le v^\frac{1}{3} - 9} \atop {0\ elsewhere}} \right.$

The CDF is:

$F(x) = \int\limits^{v^\frac{1}{3}}_9 1\ dx$

Integrate

$F(x) = [v]\limits^{v^\frac{1}{3}}_9$

Expand

$F(x) = v^\frac{1}{3} - 9$

The density function of the volume F(v) is:

$F(v) = F'(x)$

Differentiate F(x) to give:

$F(x) = v^\frac{1}{3} - 9$

$F'(x) = \frac{1}{3}v^{\frac{1}{3}-1}$

$F'(x) = \frac{1}{3}v^{-\frac{2}{3}}$

$F(v) = \frac{1}{3}v^{-\frac{2}{3}}$

So:

$f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.$

8 0

3 years ago

A rubber ball has a diameter of 5cm and a bell takes up 12% of the rubber ball volume what is the diameter of the bell

musickatia [10]

0.6cm or 6mm if you take 5*12% you can get the answer pretty easy :)

I would appriciate Brainliest!

8 0

3 years ago

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Calculate the perimeter for the parallelogram if a= 7.6 , b= 5.9 and c= 14.6

kolezko [41]

Although the problem gives the value of b, it's really not needed.

Opposite sides of a parallelogram are congruent, so we just need to calculate: 2a + 2c = P

Plug the given values in:

2 * 7.6 + 2 * 14.6 = 44.4 units, or choice (C).

4 0

3 years ago

Which list orders the numbers from least to greatest?

s344n2d4d5 [400]

Are u sure you have the answers right? Fix them in a comment and I’ll answer

3 0

2 years ago

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Geometry help, it’s easy!!!!!

-BARSIC- [3]

Answer:

Step-by-step explanation:

all you do is divide 10.2 by tan (67) and you get 4.33

3 0

3 years ago

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