Find the slope of the line on the graph.

Which statement is false A the inequality sign alwats opens up to the largers number. B the greater number in the equality is al

Hatshy [7]

Answer:

D inequality sign always open up to a smaller number

Step-by-step explanation:

8 0

3 years ago

Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP

-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$$\Rightarrow \frac{h}{2}=r$

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

$$\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3$ (formula)

$$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3$

$$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3$

Hence it is true.

Option A, option C and option E are true.

6 0

4 years ago

Read 2 more answers

A bag contains 4 black tiles, 5 white tiles, and 6 blue tiles. Event A is

Murljashka [212]

Answer:

2/21

Step-by-step explanation:

The question is badly formatted so cannot match the answer choice

Total number of tiles = 4 + 5 + 6 = 15

P(A) = P(drawing a black tile from 15 tiles) = 4/15

After event A, there are 14 tiles left : 3 black, + 5 white + 6 blue

P(B/A) = P(drawing white tile after a black tile has been drawn) = 5/14

P(A and B) = P(A).P(B/A) = 4/15 x 5/14 = 2/21

Note that P(B) = 5/15 since we are talking about independently drawing a white tile from the original stack of tiles

6 0

2 years ago

A six sided die is rolled 4 times. find the probability that a 2 or 3 is rolled at least once. round your answer to two decimal

goblinko [34]

The probability that a 2 or 3 is rolled at least once is 0.14.

<h3>Probability of not rolling a 2 or 3 in a single die roll of two dice</h3>

when a six die is rolled once there is 11/12 probability of not rolling 2 or 3.

rolling a six sided die two times, p(2 or 3)' = 11/12

rolling a six sided die four times, p(2 or 3)' = (11/12)² = 121/144

the probability that a 2 or 3 is rolled at least once is calculated as follows;

P = 1 - p(2 or 3)'

P = 1 - 121/144

P = 20/144

P = 0.14

Thus, the probability that a 2 or 3 is rolled at least once is 0.14.

Learn more about probability here: brainly.com/question/24756209

#SPJ4

4 0

2 years ago

Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same dista

Elina [12.6K]

Answer:

Point R is at (−40, −10), a distance of 20 units from point Q

Step-by-step explanation:

4 0

3 years ago