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3 years ago

6

Which graph shows the probability distribution for the random variable representing the number of greens (green is represented b

y the letter g)

2 answers:

zmey [24]3 years ago

8 0

Answer: Option B

The second chart

Step-by-step explanation:

Did it on edge

Natalka [10]3 years ago

3 0

Answer:

The Second one

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The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral

$\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}$

6 0

3 years ago

PLEASE HELP step by step

Katen [24]

Answer:

The length of the line segment is 10 units.

Step-by-step explanation:

Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).

The distance between two points, d = $\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }$

Here, $(x_1, y_1) = (2, -3)$ and

$(x_2, y_2) = (8, 5)$

Therefore, distance, d = $\sqrt{(8 - 2)^2 + (5 - (-3))^2$

$= \sqrt{6^2 + 8^2}$

$= \sqrt{36 + 64}$

$= \sqrt{100}$

= 10 units.

Hence, the answer.

3 0

3 years ago

What is the volume of a rectangular prism with the dimensions: base 3 1 4 cm, height 2 1 2 cm, and length 4 1 2 cm?

Doss [256]

Answer:

is b

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

15 increased by a number x

aleksandrvk [35]

15 increased by a number x: 15 + x
a number x more than −14: x > -14
t<span>he difference of 7 and a number x: </span>7/x

3 0

4 years ago

How does your cosine graph change when including the d-value?

fredd [130]

Answer:

Changing value of "d" changes the vertical shift of the cosine graph.

Step-by-step explanation:

Question says to find about how does your cosine graph change when including the d-value.

General equation of cosine function can be given as:

$y=a\cdot\cos\left(bx-c)\right)+d$

In that formula, value of "d" gives vertical shift.

So changing value of "d" changes the vertical shift of the cosine graph.

6 0

3 years ago