19.

Using the table for many repetitions of the experiment of tossing a coin 10 times, what is the mean number of heads in 50 repeti

PtichkaEL [24]

When there are 1000 repetitions, the mean will be 5.002.

The charts that you have list the number of total heads when you flip the coin 10 times in each trial.

Multiply the total of each by the number number of heads for that category and divide by 1000.

1 x 0
8 x 1
43 x 2
117 x 3
2017 x 4
248 x 5
203 x 6
121 x 7
45 x 8
6 x 9
1 x 10

If you add up those products and divide by 1000, you have 5.002.

Using the law of large numbers, the experiment with 1000 rolls will be the closest to the theoretical amount.

7 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

3 years ago

Read 2 more answers

The volume of a cube is related to the area of s face by the formula v= a^3/2. What is the volume of a cube whose face has an ar

Sophie [7]

Answer:

1000 m³

Step-by-step explanation:

Put the number into the formula and do the arithmetic.

v = a^(3/2) = (100 m²)^(3/2) = (√100)³ m³ = 1000 m³

The volume is 1000 cubic meters.

4 0

3 years ago

the radius of a gold atom is 1.35 angstroms. how many gold atoms would it take to line up a span of 8.5 mm?

serg [7]

The angstrom<span>, also known as the </span>angstrom<span> unit, is a measure of displacement equal to 0.0000000001 meter (10 -10 m). It would be helpful to convert the units of angstrom to mm. We do as follows:

diameter = 2 x 1.35 x10^ -10 m ( 1000 mm / 1 m ) = 2.7 x 10^-10 mm / atom

Number of gold atoms = 8.5 mm / </span>2.7 x 10^-10 mm / atom = 31481481481.481 atoms

6 0

3 years ago

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Whats -1.8 as a fraction?

OleMash [197]

Answer:

-18/10

Step-by-step explanation:

Please mark me BRAINLIEST

5 0

3 years ago

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