7n2 + 9k2 + 6 6n Submit

2/3x=10 thankyou for helping me

Novay_Z [31]

(2/3)x = 10
(3/2)(2/3)x = 10(3/2)
x = 30/2 = 15

6 0

3 years ago

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64÷54 is the number of.... whar

ankoles [38]

Your answer is 1.18518519

8 0

3 years ago

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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

Peregrine falcons are known for their maneuvering ability. In a tight circular turn, a falcon can attain a centripetal accelerat

melomori [17]

Answer:

whats the qeustion sir ?

Step-by-step explanation:

i am confusion

4 0

3 years ago

A circle graph titled Bachelor's Degrees Earned in the United States from 2009 to 2010. 22 percent is business, 10 percent is so

Helga [31]

Answer:

a) 60 graduates

b) Business and social science.

Step-by-step explanation:

In United States, from 2009 to 2010 the Bachelor's Degrees graduates are made up of 22% for business, 10% for social science, 8% is health related, 6% is education and 54% is others. Given that a sample of 1000 college graduates where used,

a) Number of graduates with education degree is equal to 6% of the total college graduates. Therefore:

Number of graduates with education degree = 6% × 1000 = 0.06 × 1000 = 60 graduates

b) Number of graduates with business degree = 22% × 1000 = 0.22 × 1000 = 220 graduates

Number of graduates with social science degree = 10% × 1000 = 0.1 × 1000 = 100 graduates

Number of graduates with health related degree = 8% × 1000 = 0.08 × 1000 = 80 graduates

Number of graduates with other degree = 54% × 1000 = 0.54 × 1000 = 540 graduates

Since Many graduates earn degrees in fields that result in high-paying jobs, the two fields most likely pay more than the others are that of business and social science.

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3 years ago

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7n2 + 9k2 + 6 6n Submit​

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