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2 years ago

14

The city carnival is holding a raffle. Every raffle ticket purchased will go into a large bin. At the end of the day, one ticket

will be drawn at random for the grand prize. Lewis bought 2 tickets, Raul bought 6 tickets, and Amy bought 8 tickets.
If a total of 350 tickets were sold, what is the probability that either Raul or Amy will win the grand prize?
A. 3/175

B. 1/175

C. 4/175

D. 1/25

2 answers:

rodikova [14]2 years ago

3 0

Answer:

D 1/25

Step-by-step explanation:

6+8= 14

14/350 = 0.04

1/25= 0.04

Valentin [98]2 years ago

3 0

Answer:

D. 1/25

Step-by-step explanation:

8 + 6 = 14 tickets

14/350 = 2/50

2/50 = 1/25

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Answer:

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Step-by-step explanation:

the expression we have is:

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To find an equivalent expression, it would be helpful to express 1/3 so that it has a 12 in the denominator:

$\frac{1}{3}=\frac{4}{12}$

so we substitute this:

$-\frac{1}{12} x-\frac{4}{12}$

and now we have 1/12 in both terms :

$-\frac{1}{12}x-\frac{1*4}{12}$

so we can factor it (we take it out of each term: in the first we are left with -x and in the second with -4):

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3 years ago

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2 years ago

For each vector field f⃗ (x,y,z), compute the curl of f⃗ and, if possible, find a function f(x,y,z) so that f⃗ =∇f. if no such f

butalik [34]

$\vec f(x,y,z)=(2yze^{2xyz}+4z^2\cos(xz^2))\,\vec\imath+2xze^{2xyz}\,\vec\jmath+(2xye^{2xyz}+8xz\cos(xz^2))\,\vec k$

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The curl is

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where $\partial_\xi$ denotes the partial derivative operator with respect to $\xi$ . Recall that

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The cross product reduces to

$\nabla\times\vec f=(\partial_yf_3-\partial_zf_2)\,\vec\imath+(\partial_xf_3-\partial_zf_1)\,\vec\jmath+(\partial_xf_2-\partial_yf_1)\,\vec k$

When you compute the partial derivatives, you'll find that all the components reduce to 0 and

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$\dfrac{\partial f}{\partial x}=\dfrac{\partial(e^{2xyz})}{\partial x}+\dfrac{\partial g}{\partial x}$

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and differentiating with respect to $z$ gives

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$2xye^{2xyz}+8xz\cos(xz^2)=2xye^{2xyz}+8xz\cos(xz^2)+\dfrac{\mathrm dh}{\mathrm dz}$

$\dfrac{\mathrm dh}{\mathrm dz}=0$

$\implies h(z)=C$

for some constant $C$ . So

$f(x,y,z)=e^{2xyz}+4\sin(xz^2)+C$

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<span>The answer to this question would be: 5 days
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Step-by-step explanation:

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