A person flipped a coin 100 times and obtained 73 heads. Can the person conclude that the coin was unbalanced?

Answers

Answer 1

They can not, there are only 2 sides and they probably flipped it different ways. They got 'lucky'.

Answer 2

Final answer:

Flipping a coin 100 times and getting 73 heads suggests a potential unbalanced coin. A chi-square statistical test is needed to determine if the deviation from the expected 50-50 ratio is significant. The large deviation in this scenario does suggest bias, but only a hypothesis test can confirm if the coin is unbalanced.

Explanation:

Intuitively, we might accept variations in coin flips as part of chance when the number of trials is small. However, as the number of trials increases, the expected 50-50 ratio of heads and tails should emerge. In the case where a person flipped a coin 100 times and obtained 73 heads, one could suspect an unbalanced coin, but to conclusively determine this, a statistical test, such as a chi-square, should be conducted to assess the significance of the deviation from the expected 50-50 ratio.

Flipping a coin 100 times should result in approximately 50 heads and 50 tails, according to the law of large numbers. A result of 73 heads is quite far from the expected outcome. The empirical observation suggests that there might be a bias towards heads, which indicates that the coin could be unbalanced.

To determine whether the coin is truly unbalanced or whether this was a fluke, one would perform a hypothesis test at a specified significance level to see if the observed results significantly differ from what is expected by random chance alone. If the results show a statistically significant difference, we could conclude that there is evidence to support the claim that the coin is unbalanced.


Related Questions

how many positive integers have a value between the square root of 8 and the square root of 72?

Answers

Answer:

6 numbers

Step-by-step explanation:

Note that [tex]4<8<9,[/tex] then

[tex]\sqrt{4}<\sqrt{8}<\sqrt{9}\\ \\2<\sqrt{8}<3[/tex]

and [tex]64<72<82,[/tex] then

[tex]\sqrt{64}<\sqrt{72}<\sqrt{81}\\ \\8<\sqrt{72}<9[/tex]

List all positive integers which have a value between [tex]\sqrt{8}[/tex] and [tex]\sqrt{72}:[/tex]

[tex]3,\ 4,\ 5,\ 6,\ 7,\ 8[/tex]

Hence, there are 6 such numbers

Jared made 12 3/4 cups of snack mix for cups of snack mix for a party. His guests are 2/3 of the mic. How much snack mix did his guests eat.

a. 4 5/12

b. 4 1/2

c. 8 1/2

d 12 5/7​

Answers

Answer:

8  1 /2

For this we need to determine what  

2 /3 of 12 3/4 is, so we multiply the fractions together.

12. Noah raised $54 to support the animal shelter, which is 60% of his fundraising goal.
a. Write an algebraic equation to represent the situation.
b. What is Noah's fundraising goal?

Answers

To represent the situation algebraically, we use the equation 54 = 0.60G, and solving it gives us Noah's fundraising goal of $90.

Let's represent Noah's fundraising goal as G. According to the problem, Noah has raised $54, which is 60% of his goal. This situation can be translated into the algebraic equation:

54 = 0.60G

To find Noah's fundraising goal (G), we can divide both sides of the equation by 0.60:

G = 54 ÷ 0.60G = $90

Therefore, Noah's fundraising goal is $90.

The Johnsons need to put up a fence, as shown in the picture. They have already measured two of the sides. Find the length of the missing side of the farmyard (round to two decimal places). A) 17.00 feet B) 27.00 feet C) 32.15 feet D) 46.77 feet

Answers

Answer:

D

Step-by-step explanation:

its D for sure

Answer:

d

Step-by-step explanation:

46.77 feet Use the Pythagorean theorem.

What is the simplified expression of 8 times y times 9

Answers

Answer:

72y

Step-by-step explanation:

Multiplication can be done in any order

8x9=72

72 times y is 72y

Savanah solved the equation 3 + 4|3 plus 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 11. + 3| = 11 for one solution. Her work is shown below:

Answers

Answer:

x=-2 OR x=-10 i.e.

Solution Set = {-2,-10}

Step-by-step explanation:

The equation described in words is typed and solved below:

[tex]3+4|\frac{x}{2}+3|=11 \\4|\frac{x}{2}+3|=11-3\\4|\frac{x}{2}+3|=8\\|\frac{x}{2}+3|=\frac{8}{4} \\|\frac{x}{2}+3|=2\\\frac{x}{2}+3=2 OR \frac{x}{2}+3=-2\\\frac{x}{2}=2-3 OR \frac{x}{2}=-2-3\\\frac{x}{2}=-1 OR \frac{x}{2}=-5\\x=-2ORx=-10\\[/tex]

Answer:

it is -10

Step-by-step explanation:

PROBABILITY DISTRIBUTIONS?? Do anyone know how to find probabilities??​

Answers

Probability of more than 3 = 0.25

Solution:

Given table shows the pitches, frequency and probability of pitches.

P(x = 1) = 0.15, P(x = 2) = 0.2, P(x = 3) = 0.4, P(x = 4) = 0.15, P(x = 5) = 0.1

To find the probability that the pitcher will throw more than 3 pitches.

Probability of more than 3 pitches = P(x > 3)

                                                         = P(x = 4) + P(x = 5)

                                                         = 0.15 + 0.1

                                                         = 0.25

                                            P(x > 3) = 0.25

Hence the probability that the pitcher will throw more than 3 pitches to a batter is 0.25.

Final answer:

Probability distributions are used to assess the likelihood of different outcomes in a given set of data. To find probabilities, you need to determine the type of probability distribution and use the appropriate formulas or tables.

Explanation:

Probability distributions are used to assess the likelihood of different outcomes in a given set of data. They can take different shapes depending on the nature of the population. One common type of probability distribution is the normal distribution, which represents a bell curve.

To find probabilities using a probability distribution, you can follow these steps:

Determine the type of probability distribution you are dealing with, such as binomial or normal.Identify the values or events for which you want to find probabilities.Use the appropriate formulas or tables to calculate the probabilities, considering factors such as mean and standard deviation.

Which situation is best represented by the following equation?

40w + 12.50 = 492.50

A) Nicole paid $40 for self-defense classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
B) Nicole paid $12.50 for self-defense classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
C) Nicole paid $492.50 for self-defense classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
D) Nicole paid $492.50 for self-defense classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
Eliminate

Answers

Final answer:

The equation 40w + 12.50 = 492.50 best represents Nicole paying $40 per week for self-defense classes, plus a one-time registration fee of $12.50, totaling $492.50.

Explanation:

The situation best represented by the equation 40w + 12.50 = 492.50 is option A) Nicole paid $40 for self-defense classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. Here, w represents the number of weeks Nicole was enrolled in self-defense classes. The equation can be understood as follows: $40 is multiplied by the number of weeks (w), and $12.50 is added for the registration fee, summing to a total of $492.50.

Find the slope of each set of points.
a.) 4, 3 and -3, 4 b.) -2, 0 and (8, -4)

Answers

Answer:

1. (4, 3) and (-3, 4) has  Slope  = -1/7  

2.(-2, 0) and (8, -4) has Slope  = -2/5

Step-by-step explanation:

If two such points (a,b) and (c,d) are given, then the slope S is given as:

[tex]S = (\frac{d-b}{c-a} )[/tex]

Now here, the given set of points are:

1. (4, 3) and (-3, 4)

Here, the slope S  = [tex](\frac{4-3}{-3-4}) = (\frac{1}{-7}) = -(\frac{1}{7})[/tex]

S  = -1/7

1. (-2, 0) and (8, -4)

Here, the slope S  = [tex](\frac{-4-0}{8-(-2)}) = (\frac{-4}{10}) = -(\frac{2}{5})[/tex]

S  = -2/5

The system of equations is graphed on the coordinate plane.

y=−12x−1y=14x−4

Enter the coordinates of the solution to the system of equations in the boxes.

(
, ​

)
A graph with a blue line passing through coordinates (0, -4) and (4, -3) and a red line passing through coordinates (0, -1) and (4, -3).

Answers

Answer:

Step-by-step explanation:

y = -12x - 1

y = 14x - 4

-12x - 1 = 14x - 4

-1 + 4 = 14x + 12x

3 = 26x

3/26 = x

y = 14x - 4

y = 14(3/26) - 4

y = 42/26 - 4

y = 42/26 - 104/26

y = - 62/26 reduces to - 31/13

solution : x = 3/26 and y = -31/13 or (3/26,-31/13)


I am in the middle of a test! Will give brainliest and 30 points!!!!



It’s a circle has a circumference of a 28 Π centimeters (cm) then what is it’s area in centimeters squared?

Answers

Answer:

3.14 x 4.46^2= 62.39 square centimeters

Step-by-step explanation:

Simplify. (x^4)^3
Write your answer without parentheses.

Answers

Answer:

x^12

Step-by-step explanation:

Solve the linear equation for y. -5x+y=7

Answers

to get the proper form of y=mx+b, add 5x from each side of the equation. this gives you y=5x+7. so that is the linear equation in standard form

Answer:

5x+7

Step-by-step explanation:

An equation for the depreciation of a car is given by y = A(1-r), where y = current value of the car, A = original cost, r = rate
of depreciation, and t = time, in years. The current value of a car is $12,282.50. The car originally cost $20,000 and
depreciates at a rate of 15% per year. How old is the car?

Answers

Answer:

Step-by-step explanation:

y = A(1 - r)^t......y = value of car after t years.....A = original cost....r = rate of depreciation.....t = time in years

y = 12,282.50

A = 20,000

r = 15% = 0.15

12,282.50 = 20,000(1 - 0.15)^t

12,282.50 / 20,000 = 0.85^t

0.614125 = 0.85^t

log 0.614125 = t * (log(0.85))

t = (log 0.614125) / (log 0.85)

t = 3 <=== 3 years old

Answer:

C. 3 years

Step-by-step explanation:

I can confirm that the answer to your question is C.

95-a (b+c) when a=9, b= 3, and c = 7.4

Answers

Step-by-step explanation:

95-a (b+c)

95-9 (3+7.4)

95-9×10.4

95-93.6

=1.4

Answer: 894.4

Step-by-step explanation:

95-9(3+7.4)

⬇️

95-9 (10.4)

⬇️

86(10.4)

⬇️

894.4

A playground is in the shape of a square. If the perimeter of the playground is 40 feet, find the diagonal distance across the park. Leave your answer in radical form

Answers

The length of diagonal of park is √200 feet.

Step-by-step explanation:

Given,

Perimeter of square playground = 40 feet

Let,

a be the length of one side.

Perimeter = 4a

[tex]4a=40\\\\a=\frac{40}{4}\\\\a=10[/tex]

Length of one side of square is 10 feet.

A diagonal will form a right triangle, where,

Diagonal = c

a = 10

b = 10

Using pythagoras theorem

[tex]a^2+b^2=c^2\\(10)^2+(10)^2=c^2\\100+100=c^2\\200=c^2\\c^2=200[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{200}\\c=\sqrt{200}[/tex] feet

The length of diagonal of park is √200 feet.

Keywords: perimeter, square

Learn more about perimeter at:

brainly.com/question/9045597brainly.com/question/8955867

#LearnwithBrainly

Answer:

10√2 (Simplest Radical Form)

Step-by-step explanation:

While Absor201 got √200, it is still not in simplest radical form. If you got this question from MathNation, then 10√2

PLEASE HELP ME PLEASE HELP PLEASE IF YOU HAVE A HEART! What do you know about yourself as a learner?
How can you use this information to help you succeed in math?​

Answers

Answer:

Hope this helps!

Step-by-step explanation:

1. Do all of the homework. ...

2. Fight not to miss class. ...

3. Find a friend to be your study partner. ...

4. Establish a good relationship with the teacher. ...

5. Analyze and understand every mistake. ...

6. Get help fast. ...

7. Don't swallow your questions. ...

8. Basic skills are essential.

What is the answer to -2(3x+2)=2x+6

Answers

Answer:

x=-5/4

Step-by-step explanation:

-2(3x+2)=2x+6

-6x-4=2x+6

-6x-2x-4=6

-8x-4=6

-8x=6+4

-8x=10

x=10/-8

x=-10/8

simplify

x=-5/4

There is a bag with 7 blue marbles and 4 orange marbles. You pull a marble out of the bag three times, without replacing the marble each time. What is the probability that you will pull out 3 blue marbles?

a. 0.64

b. 0.56

c. 0.27

d. 0.21.

Answers

Answer:

Answer D

Step-by-step explanation:

Answer:Option D

Step-by-step explanation:

Expression for the calculation the sum of the product of 4 and 3 and 1 and 1

Answers

Answer:

(4 × 3) + (1 × 1)

Step-by-step explanation:

Sum means adding, so you are adding the product of 4 and 3 to the product of 1 and 1.

Product means multiplying, so you are multiplying 4 and 3 together, and since you just want an expression, this is expressed as 4 × 3.

You are also multiplying 1 and 1 together, so that can be expressed by 1 × 1.

Since you are adding these together, you just put a plus sign in between the two terms. That gives you (4 × 3) + (1 × 1).

What is 6/6 equivalent to

Answers

Answer:

1 whole

Step-by-step explanation:

Answer:1

Step-by-step explanation:You have 6 sixths. That means it is a whole number

The number of seahorses is 4 times the number of sea urchins.There are 16 seahorses write and solve and equation to find how many seahorses are there.

Answers

Answer:

[tex]4\ sea\ urchins[/tex]

Step-by-step explanation:

The correct question is

The number of seahorses is 4 times the number of sea urchins.There are 16 seahorses write and solve and equation to find how many sea urchins are there.

Let

x ----> the number of seahorses

y ----> the number of sea urchins

we know that

The number of seahorses is 4 times the number of sea urchins

so

[tex]x=4y[/tex] -----> equation A

There are 16 seahorses

so

[tex]x=16[/tex] ----> equation B

Solve the system by substitution

substitute equation B in equation A

[tex]16=4y[/tex]

solve for y

divide by 4 both sides

[tex]y=16/4\\y=4\ sea\ urchins[/tex]

Answer:

4.

Step-by-step explanation:

if 4 is the number of Urchins 4*4 is 16 which is how many seahorses there are.

An apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant. The apartment building has 92 total occupants.

2× + 16 = 92

How many double-occupancy apartments are currently rented?

Answers

38 double-occupancy apartments are currently rented

Solution:

Given that, apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant

Number of apartments with one occupant = 16

Number of apartments with two occupants = x

The apartment building has 92 total occupants

Therefore, we frame a equation as,

Number of apartments with one occupant + 2 x Number of apartments with two occupants = 92

[tex]16 + 2 \times x = 92[/tex]

16 + 2x = 92

Solve the above equation for "x"

2x = 92 - 16

2x = 76

x = 38

Thus 38 double-occupancy apartments are currently rented

Final answer:

To determine the number of double-occupancy apartments that are currently rented, we solve the equation: 2x + 16 = 92. After simplifying, we find that there are 38 double-occupancy apartments rented.

Explanation:

To determine the number of double-occupancy apartments that are currently rented, we need to solve the equation: 2x + 16 = 92.

First, we subtract 16 from both sides of the equation: 2x = 76.

Next, we divide both sides of the equation by 2 to isolate x: x = 38.

Therefore, there are 38 double-occupancy apartments currently rented.

I will mark brainliest

Answers

Answer:

A) 2x+50

Step-by-step explanation:

First, let's make a variable for each person

Sam = x

Hector = h

Ted = t

Gina = g

We know that Hector has twice the amount hat Sam has so his equation is

h = 2x

We know that Ted has 100 more than Hector so his equation is

t = h + 100

Gina has 50 less than Ted to she has

g = t - 50

Since we need to find out how much Gina has using units of Sam the equation will be

g = 2x + 100 - 50 or simplified g = 2x + 50

just 3 math problem show step by step

1 5x+y=-12
5x-7y=4


2. -5x+4y=-3
-9x-y=-30


3. -9x+6y=27
-x+3y=10
please help me out

Answers

Answer:

see attached picture please

The United States Postal Service charges a
"nonmachinable surcharge" for first-class mail
If the length of the envelope (parallel to the
address) divided by the height of the envelope
is less than 1.3 or more than 2.5. Charlene has
an envelope with a height of 3.5 inches. Write
a compound inequality to show the lengths in
inches for which Charlene will have to pay the
surcharge.
Graph the solutions.

Answers

Answer:

Step-by-step explanation:

1.3 < Length/3.5 < 2.5

4.55 < Length < 8.75

Graph:

|-----------------|

|                 |

|                 |

|                 |

|                 |

|                 |

|                 |

| 4.55  --------  8.75  |

|                 |

|                 |

|                 |

|                 |

|                 |

|                 |

|-----------------|

Can someone show me how to do this please?

⦁ A sculptor is planning to make two triangular prisms out of steel. The sculptor will use for the bases of one prism and for the bases of the other prism.




⦁ Is similar to ? Explain.
⦁ Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? Show your work.
Answer:

Answers

Answer:

they are similar as the enlargement has a scale factor divide it then woke it out

The measure of an angle is 135 degrees. What is the measure of its supplementary angle ?

Answers

Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?

If the measure of an angle is 135°,

then the measure of its supplement is 45°.

We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°.

Final answer:

The measure of the supplementary angle to a 135-degree angle is 45 degrees, calculated by subtracting 135 degrees from 180 degrees.

Explanation:

The measure of an angle is 135 degrees. Supplementary angles are two angles whose measures add up to 180 degrees. To find the measure of the supplementary angle, we subtract the given angle's measure from 180 degrees. Here's the calculation:

Identify the measure of the given angle (135 degrees).Subtract the measure of the given angle from 180 degrees: 180 degrees - 135 degrees = 45 degrees.The measure of the supplementary angle is therefore 45 degrees.

Find the equation of the line normal to the curve of y=cos1/3x, where x=pi

Answers

Answer:

The equation of the line normal to the curve of y=cos1/3x, where x=pi is y= 2√3 x - 10.38

Step-by-step explanation:

The equation of the normal to the curve is

Y- y1 = - 1/m (x- x1)

Where m is the gradient.

See attached picture for the complete solution.

Final answer:

The equation of the line normal to the curve of y=cos(1/3)x, where x=pi, can be found by taking the negative reciprocal of the derivative of the curve at that point and using the point-slope form of a line.

Explanation:

The equation of the line normal to the curve of y=cos(1/3)x at x=pi can be found by taking the negative reciprocal of the derivative of the curve at that point.

The derivative of cos(1/3)x is -sin(1/3)x*(1/3).

At x=pi, the derivative is -sin(pi/3). Taking the negative reciprocal of this gives the slope of the line normal to the curve

So the slope is 1/ tan(pi/3).

Now, we can use the point-slope form of a line to find the equation of the line.

The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is the point on the line and m is the slope.

Plugging in the values, we get y - cos(pi/3) = (1/tan(pi/3))(x - pi).

Simplifying further will give us the equation of the line normal to the curve at x=pi.

Please help I will mark brainliest

Answers

Answer:

10

Step-by-step explanation:

The square length of hypotenuse is equal to two sides' length square added together

C = 10^2 + 7.5^2 = √156 approximately 12.5

The answer is 10 if needed to round to nearest tenth.

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