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3 years ago

13

There are 3 large marbles, 2 medium marbles and 5 small marbles in a bag. If one of the marbles is chosen randomly, what is the

probability that a small marble is chosen?

1 answer:

exis [7]3 years ago

4 0

There is a 50% chance that a small marble is chosen

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Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = 5y cos(z) i + ex sin(z) j + xey k, S is the hemisphere x2 + y2 + z2

Alenkinab [10]

By Stokes' theorem, the integral of the curl of $\vec F$ across $S$ is equal to the integral of $\vec F$ along the boundary of $S$ , call it $C$ . Parameterize $C$ by

$\vec r(t)=2\cos t\,\vec\imath+2\sin t\,\vec\jmath$

with $0\le t\le2\pi$ . So we have

$\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S=\int_C\vec F\cdot\mathrm d\vec r$

$=\displaystyle\int_0^{2\pi}(10\sin t\cos 0\,\vec\imath+e^{2\cos t}\sin0\,\vec\jmath+2\cos t\,e^{2\sin t}\,\vec k)\cdot(-2\sin t\,\vec\imath+2\cos t\,\vec\jmath)\,\mathrm dt$

$=\displaystyle\int_0^{2\pi}-20\sin^2t\,\mathrm dt$

$=\displaystyle-10\int_0^{2\pi}(1-\cos2t)\,\mathrm dt=\boxed{-20\pi}$

6 0

3 years ago

7,000 mg = how many grams

Gnom [1K]

7 grams. 1,000 mg is equivalent to one gram.

5 0

3 years ago

14 POINTS! PLEASE HELP!!!!

aleksandr82 [10.1K]

Answer:

Do (8, -9) times 5 for both numbers

Step-by-step explanation:

3 0

3 years ago

What is m, 2/3 × 4/5 = 1/3÷ m

ankoles [38]

Answer:

$\frac{2}{3} \times \frac{4}{5} = \frac{1}{3} \div m \\ \frac{8}{15} = \frac{1}{3m} \\ \frac{8}{5} = \frac{1}{m} \\ 8m = 5 \\ m = \frac{5}{8} \\$

4 0

3 years ago

Read 2 more answers

Given the equation 9x+3/4 y=6 and 2x+1/2 y=9, by what factor would you multiply the second equation to eliminate y and solve the

anyanavicka [17]

To eliminate a cariable in a system of equations, we multiply the variable by a factor that will make both coefficients of the variable to be equal.
Thus, we multiply the coefficient of y in the second equation by a factor that will make it equal to the coefficient of y in the first equation. i.e. multiply 1/2 by a factor that makes it equal to 3/4. and the factor is 3/2.
Therefore, the third option is the correct answer.

5 0

3 years ago