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Zielflug [23.3K]

3 years ago

8

Suppose that a point (X,Y) us chosen at random from the rectangle S defined as follows: S={(x,y) : 0<= x <=2 and 1<=y&l

t;=4.} a. Determine the joint p.d.f. of X and Y, the marginal p.d.f. of X, and the marginal p.d.f. of Y. b. Are X and Y independent?

1 answer:

mrs_skeptik [129]3 years ago

7 0

For a 19 foot scale find the frequency of a note to the frequency of the preceding note?

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Calculate the angle of depression from the

s344n2d4d5 [400]

Answer:

angle of depression ≈ 53.8°

Step-by-step explanation:

the angle of depression is the measure of the angle from the horizontal downwards from the top of the flag pole.

this angle is alternate to ∠ A and is congruent to ∠ A

using the sine ratio in the right triangle

sin A = $\frac{opposite}{hypotenuse}$ = $\frac{25}{31}$ , then

∠ A = $sin^{-1}$ ( $\frac{25}{31}$ ) ≈ 53.8° ( to 1 d.p )

Angle of depression ≈ 53.8°

6 0

2 years ago

Please help, I don’t know how to do this.

Molodets [167]

Answer:

Q2: slope = -½

Q3: slope = 1

Step-by-step explanation:

If the equation of the line is in the form y = mx+b, then m is the slope of the line and b is the y-intercept (the point where the line crosses the x-axis).

y = -½x, so the slope of the line is -½

y = x+15, so the slope of the line is 1

6 0

3 years ago

What is the effect on the graph of the function f(x) = x^2 when f(x) is changed to f(x − 6)

olya-2409 [2.1K]

Answer:

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing $f(x) = x^2$ and $\:f\left(x\right)=\left(x-6\right)^2$ is represented as being shifted 6 units to the right as compare to the function $f(x) = x^2$ .

Step-by-step explanation:

When we Add or subtract a positive constant, let say c, to input x, it would be a horizontal shift.

For example:

Type of change Effect on y = f(x)

$y = f(x - c)$ horizontal shift: c units to right

So

Considering the function

$f(x) = x^2$

The graph is shown below. The first figure is representing $f(x) = x^2$ .

Now, considering the function

$\:f\left(x\right)=\left(x-6\right)^2$

According to the rule, as we have discussed above, as a positive constant 6 is added to the input, so there is a horizontal shift, 6 units to the right.

The graph of $\:f\left(x-6\right)=\left(x-6\right)^2$ is shown below in second figure. It is clear that the graph of $\:f\left(x-6\right)=\left(x-6\right)^2$ is shifted 6 units to the right as compare to the function $f(x) = x^2$ .

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing $f(x) = x^2$ and $\:f\left(x\right)=\left(x-6\right)^2$ is represented as being shifted 6 units to the right as compare to the function $f(x) = x^2$ .

5 0

3 years ago

If there are 36 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

marishachu [46]

Answer:

You have the two numbers, so 36/60 is the ratio of boys to girls.

Step-by-step explanation:

You will want to simplify those numbers (reduce to lowest terms).

8 0

3 years ago

Read 2 more answers

What is the graph of 3x + 5y = –15? Image for option 1 Image for option 2 Image for option 3 Image for option 4

saveliy_v [14]

Move x
5y = - 15 - 3x
y = - 3 - 3/5x
y = - 3/5 - 3
-y = 3/5 + 3

6 0

3 years ago