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3 years ago

Find the value of unknown angle .Also show the steps.

Mathematics

1 answer:

Allushta [10]3 years ago

4 0

Pls mark me as the Brainliest as I really need it, thanks!

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4 years ago

A culture of bacteria has an initial population of 640 bacteria and doubles every 2 hours. Using the formula P_t = P_0\cdot 2^{\

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Pt= 7240.7734 ≈ 7241

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3 years ago

An insurance company sells automobile liability and collision insurance. Let X denote the percentage of liability policies that

qaws [65]

Answer:

-764.28

Step-by-step explanation:

Given the joint cumulative distribution of X and Y as

$F(x,y) = \frac{xy(x+y)}{2000000}\ \ \ \, \ 0\leq x100, 0\leq y\leq 100$

#First find $F_x$ and probability distribution function , $f_x(x)$ :

$F_x(x)=F(x,100)\\\\\\=\frac{100x(x+100)}{2000000}\\\\\\\\=\frac{100x^2+10000x}{2000000}\\\\\\=>f_x(x)=\frac{x}{10000}+\frac{1}{200}$

#Have determined the probability distribution unction , $f_x(x)$ , we calculate the Expectation of the random variable X:

$E(X)=\int\limits^{100}_0 \frac{x^2}{10000}+\frac{x}{200} dx \\\\\\\\=|\frac{x^3}{30000}+\frac{x^2}{400}|\limits^{100}_0\\\\=58.33\\\\$

#We then calculate $E(X^2)$ :

$E(X^2)=\int\limits^{100}_0 \frac{x^3}{10000}+\frac{x^2}{200}\ dx\\\\=\frac{x^4}{40000}+\frac{x^3}{600}|\limits^{100}_0=4166.67\\\\Var(X)=E(X^2)-(E(X))^2=4166.67-58.33^2\\\\Var(X)=764.28$

Hence, the Var(X) is 764.28

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4 years ago

A circular region has a population of about 260000 people and a population density of about 135 people per square mine . find th

ValentinkaMS [17]

Answer:

24.76 mine

Step-by-step explanation:

The first thing is to calculate the area of the region, which we can calculate since we have the density and the population. The area would be the quotient between population and density:

260000/135 = 1925.93

The area would be 1925.93 square mine

We know that the area is given by:

A = pi * r ^ 2

we solve to r

r ^ 2 = A / pi

r ^ 2 = 1925.92 / 3.14

r ^ 2 = 613.3

r = 24.76

the radius is equal to 24.76 mine

4 0

3 years ago

Read 2 more answers

Find the value of unknown angle .Also show the steps.​

Find the value of unknown angle .Also show the steps.