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3 years ago

Which statement best describes the equation x = 3

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

4 0

Answer:

that x is represented by 3 as the value

Step-by-step explanation:

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A lottery game has balls numbered 0 through 9. What is the probability of selecting an even

Elodia [21]

Answer:

I believe there is a 5/10 chance

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the domain of the Bessel function of order 0 defined by [infinity]J0(x) = Σ (−1)^nx^2n/ 2^2n(n!)^2 n = 0

Snowcat [4.5K]

Answer:

Following are the given series for all x:

Step-by-step explanation:

Given equation:

$\bold{J_0(x)=\sum_{n=0}^{\infty}\frac{((-1)^{n}(x^{2n}))}{(2^{2n})(n!)^2}}\\$

Let the value a so, the value of $a_n$ and the value of $a_(n+1)$ is:

$\to a_n=\frac{(-1)^2n x^{2n}}{2^{2n}(n!)^2}$

$\to a_{(n+1)}=\frac{(-1)^{n+1} x^{2(n+1)}}{2^{2(n+1)}((n+1))!^2}$

To calculates its series we divide the above value:

$\left | \frac{a_(n+1)}{a_n}\right |= \frac{\frac{(-1)^{n+1} x^{2(n+1)}}{2^{2(n+1)}((n+1))!^2}}{\frac{(-1)^2n x^{2n}}{2^{2n}(n!)^2}}\\\\$

$= \left | \frac{(-1)^{n+1} x^{2(n+1)}}{2^{2(n+1)}((n+1))!^2} \cdot \frac {2^{2n}(n!)^2}{(-1)^2n x^{2n}} \right |$

$= \left | \frac{ x^{2n+2}}{2^{2n+2}(n+1)!^2} \cdot \frac {2^{2n}(n!)^2}{x^{2n}} \right |$

$= \left | \frac{ x^{2n+2}}{2^{2n+2}(n+1)^2 (n!)^2} \cdot \frac {2^{2n}(n!)^2}{x^{2n}} \right |\\\\= \left | \frac{x^{2n}\cdot x^2}{2^{2n} \cdot 2^2(n+1)^2 (n!)^2} \cdot \frac {2^{2n}(n!)^2}{x^{2n}} \right |\\\\$

$= \frac{x^2}{2^2(n+1)^2}\longrightarrow 0$ for all x

The final value of the converges series for all x.

8 0

4 years ago

if 5 litres of water are drawn from a cylindrical container of internal diameter 56cm find the drop in the level of water in the

AlexFokin [52]

Answer:

the drop in the level of water in the container is 2.03 cm

Step-by-step explanation:

The volume of a cylinder can be written as;

$V = \pi r^2h=\frac{\pi d^2h}{4} \\where;\\r = radius \\h = height \\d = diameter$

the change in height when the volume changes can be derived by differentiating the equation.

$dV =\frac{\pi d^2}{4} dh\\dh = dV\frac{4}{\pi d^2}$

substituting the given values;

$\left \{ {{dV=5 litres= 5000cm^3} \atop {d=56 cm}} \right.$

$dh = 5000\frac{4}{\pi * 56^2}\\dh = 2.03cm$

the drop in the level of water in the container is 2.03 cm

4 0

3 years ago

HELP ME WITH MY MATH EXAM FAST

Ostrovityanka [42]

Answer:

sorry can't help :)

Step-by-step explanation:

7 0

3 years ago

Customer arrivals at a bank are random and independent; the probability of an arrival in any one-minute period is the same as th

deff fn [24]

Answer:

a)0.2240

b)0.5768

Step-by-step explanation:

Given:

µ=3

Poison probability is given by :

$f_k=\frac{\mu^ke^-^\mu}{k!}$

a) Evaluating at k=3

$f(3)=\frac{3^3e^-^3}{3!} \approx 0.2240$

b)Evaluating at k=0,1,2:

$f(0)=\frac{3^0e^-^3}{0!} \approx 0.0498$

$f(1)=\frac{3^1e^-^3}{1!} \approx 0.1494$

$f(2)=\frac{3^2e^-^3}{2!} \approx 0.2240$

Use complement rule:

P(x≥3)= 1 - f(0) - f(1) - f(2)= 1- 0.0498 - 0.1494 - 0.2240 =0.5768

4 0

3 years ago