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nydimaria [60]
3 years ago
7

What is the probability of obtaining eightheadsin a row when flipping a​ coin?

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Prob(a head on 1 toss) = 1/2

So probability of 8 heads in a row = (1/2)^8 = 1/256 or close to 0.391%

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The gear is one of the oldest mechanical devices. It has been used since ancient times for its ability to increase or decrease r
eduard

The large gear attached to the pedals connected to the smaller gear

attached to the wheel allows the bicycle to travel further per rotation.

Correct responses:

Part A: Approximately 10.47 inches

Part B: 300°The d

Part C: Approximately 125.66 inches

Part D: The distance traveled increases by approximately 62.83 inches

<h3 /><h3>Methods used to calculate the above values</h3>

Given:

The radius of the large central gear, <em>r</em> = 4 inches

Radius of the small gear = 2 inches

Part A:

The distance travelled by the larger gear when the angle of rotation is 150° is given as follows;

\displaystyle Distance \ travelled \ by \ larger \ gear = \mathbf{\frac{150^{\circ}}{360^{\circ}} \times 2 \times \pi \times  4 \, inches} = \frac{10}{3} \cdot \pi \ inches

  • \displaystyle Distance \ traveled \ by \ the \ outer \ edge = \frac{10}{3} \cdot \pi \ inches  \approx \underline{ 10.47 \ inches}

Part B:

When the small gear travels the same linear distance as the large gear in part A, we have;

\displaystyle Degree \ of \ rotation = \frac{\frac{10}{3} \cdot \pi }{2 \times \pi \times  2 } \times 360^{\circ}= 300^{\circ}

  • The degree of rotation of the small gear = <u>300°</u>

Part C:

The distance travelled, <em>C</em>, by a single rotation of the large gear is given as follows;

C = 2 × π × 4 inches = 8·π inches

The degree of rotation of the smaller gear following one rotation of the large gear is therefore;

Degree  \ of \ rotation = \displaystyle \frac{8\cdot \pi \ inches}{4 \cdot \pi \ inches } \times 360^{\circ} = \mathbf{ 720^{\circ}}

720° = 2 × 360°

1 complete rotation is equivalent to 360°.

Therefore'

720° is equivalent to two complete rotation.

Therefore, the smaller gear and the wheel rotates twice for each rotation of the large gear

The distance the bicycle travels = 2 × The circumference of the wheel

Therefore;

Distance traveled by the bicycle = 2 × 2 × π × 10 inches = 40·π inches

  • Distance traveled by the bicycle = 40·π inches ≈ <u>125.66 inches</u>

Part D:

If the radius of the small gear is 1.5 inches and the radius of the large gear is 4.5 inches, we have;

Number of rotation of the small gear for each rotation of the large gear = 3 rotations

Therefore, number of rotation of the wheel = 3

Distance the bicycle travels = 3 × 2 × π × 10 inches = 60·π inches

The difference in distance traveled = 60·π inches - 40·π inches = 20·π inches

  • The distance traveled by the bicycle increases by 20·π inches ≈ <u>62.83 inches</u>

Learn more about gear transmission here:

brainly.com/question/14646065

brainly.com/question/3926797

8 0
2 years ago
1. Manufacturing Process Incorporation plan to produce a new ergonomic chair. Before the company starts producing this chair the
Oduvanchick [21]

Answer:

1. cost per chair: $86.40

2. selling price per chair: $146.88

Step-by-step explanation:

1. The total cost per chair will be the sum of the cost of materials and the overhead cost (equipment, energy, labor, marketing). The cost of materials is ...

$500/(16 chairs) = $31.25/chair

So, the total cost is ...

cost of each chair = material cost + overhead cost

= $31.25 +55.15

cost of each chair = $86.40

__

2. We assume the markup is 70% of the cost, so will be ...

0.70 · $86.40 = $60.48

Then the selling price of the chair will be ...

selling price = cost + markup

selling price = $86.40 +60.48

selling price = $146.88

3 0
3 years ago
How can you find the median when the number is not in the middle
lara [203]
You add the two numbers and whatever you get you then divide it by 2
8 0
3 years ago
Please please please help
weqwewe [10]
I believe it’s 80^, sorry if i’m wrong :)
8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bp%7D%7B%20-%208%7D%20%20%2B%209%20%3E%2013" id="TexFormula1" title=" \frac{p}{ -
Gnom [1K]

is the answer open circle?

7 0
3 years ago
Read 2 more answers
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