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3 years ago

Which of the following describes a compound event?

Mathematics

2 answers:

Rasek [7]3 years ago

7 0

Answer:

Step-by-step explanation:

A compound event is the combination of two or more simple events (with two or more outcomes). The probability of drawing a heart, replacing the card, then drawing a spade. In a compound event, the numerator ("number of times it can occur") will be greater than 1.

irina [24]3 years ago

5 0

Hi the answer is B!!!!!

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Lettuce is packed four to a box . If there are 3.5 boxes of Lettuce in the cooler , how many bags of Lettuce would there be

Tanya [424]

3.5 x 4 = 14 lettuces

8 0

3 years ago

Can I get help with finding the Fourier cosine series of F(x) = x - x^2

trapecia [35]

Assuming you want the cosine series expansion over an arbitrary symmetric interval $[-L,L]$ , $L\neq0$ , the cosine series is given by

$f_C(x)=\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos nx$

You have

$a_0=\displaystyle\frac1L\int_{-L}^Lf(x)\,\mathrm dx$
$a_0=\dfrac1L\left(\dfrac{x^2}2-\dfrac{x^3}3\right)\bigg|_{x=-L}^{x=L}$
$a_0=\dfrac1L\left(\left(\dfrac{L^2}2-\dfrac{L^3}3\right)-\left(\dfrac{(-L)^2}2-\dfrac{(-L)^3}3\right)\right)$
$a_0=-\dfrac{2L^2}3$

$a_n=\displaystyle\frac1L\int_{-L}^Lf(x)\cos nx\,\mathrm dx$

Two successive rounds of integration by parts (I leave the details to you) gives an antiderivative of

$\displaystyle\int(x-x^2)\cos nx\,\mathrm dx=\frac{(1-2x)\cos nx}{n^2}-\dfrac{(2+n^2x-n^2x^2)\sin nx}{n^3}$

and so

$a_n=-\dfrac{4L\cos nL}{n^2}+\dfrac{(4-2n^2L^2)\sin nL}{n^3}$

So the cosine series for $f(x)$ periodic over an interval $[-L,L]$ is

$f_C(x)=-\dfrac{L^2}3+\displaystyle\sum_{n\ge1}\left(-\dfrac{4L\cos nL}{n^2L}+\dfrac{(4-2n^2L^2)\sin nL}{n^3L}\right)\cos nx$

4 0

3 years ago

What is the equation of a line with a slope of −4−4 and a point (−2,5)

Darya [45]

Here, we can formulate the slope-intercept equation from the point and the slope:

Slope = -4/-4 = 1
x1 = -2
y1 = 5

By point-slope form:

(y-y1) = m (x - x1)
(y-5) = 1(x +2)

y-5 = x +2

Simplifying to slope-intercept form:

y = x + 7

Therefore, the slope-intercept form would be y = x+7

I hope my answer has come to your help. God bless and have a nice day ahead!

7 0

3 years ago

A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply th

Eddi Din [679]

Answer:

Step-by-step explanation:

B is the only choice that has both all of the steps, and all of the steps in the right order.

5 0

3 years ago

Suppose you are given that p = 2q+1 and that p = 8.

iVinArrow [24]

Answer:

We conclude that the following statements can be proved such as:

$2q+1 = 8$

Step-by-step explanation:

Given the expression

$p = 2q+1$

Given

$p = 8$

IF WE SUBSTITUTE p=2q+1 in p=8

Now, substituting p = 2q+1 in the expression p=8

$p = 8$

$2q+1 = 8$ ∵ p = 2q+1

Therefore, we conclude that the following statements can be proved such as:

$2q+1 = 8$

3 0

3 years ago