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2 years ago

13

If a standard six sided die is rolled over, what is the probability that the number rolled is either an even or a multiple of 3.

A)1/6 B)1/2 C)5/6 D)2/3

1 answer:

iragen [17]2 years ago

7 0

You could roll a 2,4,6,or 3 so 4/6 which is equal to D)2/3

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Geometric mean of 5 and 405

Anvisha [2.4K]

45.2216762184
It is the square root of
405x5

6 0

2 years ago

Find the particular solution of the differential equation that satisfies the initial condition(s). f ''(x) = x−3/2, f '(4) = 1,

sweet [91]

Answer:

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

$f'' = x - \frac{3}{2}$

$f' = \int {\left(x-\frac{3}{2}\right) } \, dx$

$f' = \int {x} \, dx -\frac{3}{2}\int \, dx$

$f' = \frac{1}{2}\cdot x^{2} - \frac{3}{2}\cdot x + C$ , where C is the integration constant.

The integration constant can be found by using the initial condition for the first derivative ( $f'(4) = 1$ ):

$1 = \frac{1}{2}\cdot 4^{2} - \frac{3}{2}\cdot (4) + C$

$C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)$

$C = -1$

The first derivative is $y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1$ , and the particular solution is found by integrating one more time and using the initial condition ( $f(0) = 0$ ):

$y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1 \right)} \, dx$

$y = \frac{1}{2}\int {x^{2}} \, dx - \frac{3}{2}\int {x} \, dx - \int \, dx$

$y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x + C$

$C = 0 - \frac{1}{6}\cdot 0^{3} + \frac{3}{4}\cdot 0^{2} + 0$

$C = 0$

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

5 0

3 years ago

....<br>..................... need help

likoan [24]

Are u supposed to answer

3 0

3 years ago

Multiply 4/5 by the reciprocal of −2/10.

Svetach [21]

Answer:

4/5*reciprocal of -2/10

The reciprocal of -2/10 is 10/-2

4/5*10/2

Cancelling the numbers

-4 is the answer

Step-by-step explanation:

I hope it will help you :)

7 0

3 years ago

Read 2 more answers

A bag of marbles contains 15 blue marbles and 25 green marbles. Which of the

d1i1m1o1n [39]

Answer:

5/8

Step-by-step explanation:

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2 years ago