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daser333 [38]
3 years ago
8

Suppose an experiment consists of tossing two fair coins. If the experiment were repeated 100 times, how many times would you pr

edict the first coin to land on heads and the second coin to land on tails?
Mathematics
2 answers:
KiRa [710]3 years ago
8 0

Answer:

it can vary from : 49,50,51 up to 99 number of times

Step-by-step explanation:

when two coins are tossed at the same time there are four possible outcomes

which are : H,H,  T,T  H,T  T,H

The probability of the first coin landing on Heads and the second coin landing on its tails would be: 1/2 = 0.5

Tossing the two coins several times brings the probabilities closer to the figure of : 0.5

The number of times the first coin lands on its head might not be equal to the number of times the second coin would land on its tail due to uncertainties

Although the probability is 0.5 for H,T

it can vary from : 0.49,0.50,0.51 up to 0.99

Tpy6a [65]3 years ago
7 0
Why is the plot misleading?The plot shows that the data is skewed.There is not an equal number of data points for each stem.The plot shows duplicate data points.<span>The stem does not clearly show the outlier.</span>
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Drag each tile to the correct box. Vector t, with a magnitude of 4 meters/second and a direction angle of 60°, represents a swim
astraxan [27]

Answer:

From top to bottom, the boxes shown are number 3, 5, 6, 2, 4, 1 when put in ascending order.

Step-by-step explanation:

It is convenient to let a calculator or spreadsheet tell you the magnitude of the sum. For a problem such as this, it is even more convenient to let the calculator give you all the answers at once.

The TI-84 image shows the calculation for a list of vectors being added to 4∠60°. The magnitudes of the sums (rounded to 2 decimal places—enough accuracy to put them in order) are ...

... ║4∠60° + 3∠120°║≈6.08

... ║4∠60° + 4.5∠135°║≈6.75

... ║4∠60° + 4∠45°║≈7.93

... ║4∠60° + 6∠210°║≈3.23

... ║4∠60° + 5∠330°║≈6.40

... ║4∠60° + 7∠240°║≈ 3

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In the calculator working, the variable D has the value π/180. It converts degrees to radians so the calculation will work properly. The abs( ) function gives the magnitude of a complex number.

On this calculator, it is convenient to treat vectors as complex numbers. Other calculators can deal with vectors directly

_____

<em>Doing it by hand</em>

Perhaps the most straigtforward way to add vectors is to convert them to a representation in rectangular coordinates. For some magnitude M and angle A, the rectangular coordinates are (M·cos(A), M·sin(A)). For this problem, you would convert each of the vectors in the boxes to rectangular coordinates, and add the rectangular coordinates of vector t.

For example, the first vector would be ...

3∠120° ⇒(3·cos(120°), 3·sin(120°)) ≈ (-1.500, 2.598)

Adding this to 4∠60° ⇒ (4·cos(60°), 4°sin(60°)) ≈ (2.000, 3.464) gives

... 3∠120° + 4∠60° ≈ (0.5, 6.062)

The magnitude of this is given by the Pythagorean theorem:

... M = √(0.5² +6.062²) ≈ 6.08

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<em>Using the law of cosines</em>

The law of cosines can also be used to find the magnitude of the sum. When using this method, it is often helpful to draw a diagram to help you find the angle between the vectors.

When 3∠120° is added to the end of 4∠60°, the angle between them is 120°. Then the law of cosines tells you the magnitude of the sum is ...

... M² = 4² + 3² -2·4·3·cos(120°) = 25-24·cos(120°) = 37

... M = √37 ≈ 6.08 . . . . as in the other calculations.

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2 years ago
On a chilly day in New York, the temperature changed at -4 degrees per hour. How many hours did it take for the temperature to c
Aleks04 [339]

Answer:

9 hours

Step-by-step explanation:

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6 0
2 years ago
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Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1
andrey2020 [161]

Answer:

Look to the attached graph

Step-by-step explanation:

* Lets revise how to graph the quadratic function

- Find the vertex of it

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∵ f(x) = (x - 5)² + 1 ⇒ the completing square form

- The completing square form for any quadratic is

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* Lets compare the two forms

∵ (x - h)² + k = (x - 5)² + 1

∴ h = 5 and k = 1

∴ The vertex of the parabola is (5 , 1)

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∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides

∴ (x - 5)² = -1 ⇒ the square can not give -ve number

∴ The parabola does not intersect the x-axis

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∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26

∴ The parabola intersects the y-axis at point (0 , 26)

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* Now lets graph it

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3 years ago
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AleksAgata [21]

Answer:

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Step-by-step explanation:

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Korolek [52]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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