A single card is drawn at random from a standard 52 card deck. Work out in its simplest form: p(3)= P(not 3)=

Mathematics

1 answer:

photoshop1234 [79]3 years ago

4 0

Answer:

1/13 and 12/13

Step-by-step explanation:

To answer this question, we need to know the number of cards that are 3 .

Each suite has a single 3 and there are 4 suites.

This means we have 4 cards that are 3

Now, the probability of 3; P(3) would be 4/52 = 1/13

P(of not 3) = 1- probability of 3 = 1-1/13 = 12/13

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Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x , with ini

Svetach [21]

For this case we have the following difference equation:
$dy / dx = 3xy
$
Applying separable variables we have:
$dy / y = 3xdx
$
Integrating both sides we have:
$\int\ ({1/y}) \, dy = \int\ {3x} \, dx$
$ln (y) = (3/2) x ^ 2 + C
$
applying exponential to both sides:
$exp (ln (y)) = exp ((3/2) x ^ 2 + C)

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For y (1) = 1 we have:
$C = 1 / (exp ((3/2) * 1 ^ 2))

C = 0.2$
Thus, the particular solution is:
$y = 0.2 * exp ((3/2) x ^ 2)
$
Whose domain is all real.
Answer:
y = 0.2 * exp ((3/2) x ^ 2)
Domain: all real numbers

6 0

3 years ago

Please answer correctly !!!! Will mark brainliest !!!!!!!!!

Burka [1]

Answer:

Area = l x w

Area = (x + 1)(x + 7)

Area = x² + 7x + x + 7

Area = x² + 8x + 7

Step-by-step explanation:

8 0

3 years ago