Toss a coin 10 times and record how many times you tossed heads.
a) What is your experimental probability of tossing heads?
b) What is the theoretical probability of tossing heads?
c) Compare the two probabilities and determine if you are considered to be
"lucky" at tossing heads.
d) If you were to toss the coin 100 times, what would you expect the
experimental probability of heads to be? Defend your answer.

Answers

Answer 1

To solve this we must be knowing each and every concept related to probability and its calculations. Therefore, the  probability of tossing heads is 0.000976.

What is probability?

Probability is the branch of mathematics concerned with the outcomes of random occurrences. Probability refers to the chance or potential of an outcome. It describes the likelihood of a specific occurrence occurring.

Probability denotes the possibility of something happening. It is a statistical discipline that deals only with probability of such a random event. The number ranges from 0 to 1, with 0 being an improbable event and 1 representing a certain event.

P(getting heads on one toss) = 1/2

P(getting all heads in 10 tosses)=(1/2)¹⁰

                                                     =1/1024

                                                   =0.000976

Therefore, the  probability of tossing heads is 0.000976.

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Related Questions

What is the plotting method?

Answers

Plotting method is the graphical representation of mathematical expression.

What is mean by plotting?

A plot is a graphical representation of a list of data. Besides, a plot is the graphical analysis of mathematical expressions and equations because plot can show the relationship between two or more variables. There are many plotting methods such as hand plotting method, computer aided plotting method and so on.

What are the steps of plotting method?

At first, we need to choose the coordinate system by which we plot the point.

suppose we choose a XY coordinate plane. At first identify the horizontal or X axis and vertical or Y axis.

besides, we need to determine the required value that will be plotted on the plan.

if we have a list of X and Y value then find the value of X on the x axis and next find the value of Y on the Y axis.

we will notice some points for every pair of x and y value. Finally, we will join the points to achieve a required shaped graph.

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2. 15 - |-4a|

It says evaluate the expression.
If a = 2

Answers

Answer:

7

Step-by-step explanation:

So first you substitute A in

15-|-4(2)|

Then you multiply first because of GEMDAS or PEMDAS

15-|-8|

And because absolute value means how far away it is from 0, -8 is 8 away from 0 , thus |-8| is 8. So we simplify the equation

15-8

=7

What is the coefficient of x9 y3 in 2x − y 12?

Answers

The coefficients in the expression [tex]12x^{3} (2x^{3}) + y^{3}[/tex] are , coefficient of of x⁹ is 24 and coefficient of of y³  is 1   .

The Coefficients are defined as a multiplicative factor in some term of a polynomial , series or an expression , the coefficient is usually a number .

the expression is given as [tex]12x^{3} (2x^{3}) + y^{3}[/tex] ;

to find the coefficients we first simplify the expression ,

we get ;

= [tex]12x^{3} \times2x^{3} + y^{3}[/tex]

= [tex]24x^{9} +y^{3}[/tex] ;

so , the numerical term with x⁹  is 24 and the numerical term with y³ is 1 .

Therefore , the coefficient of x⁹ is 24 and the coefficient of  y³ is 1 .

The given question is incomplete , the complete question is

What is the coefficient of x⁹ and y³ in the expression [tex]12x^{3} (2x^{3}) + y^{3}[/tex] ?

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The table shows data for 4 cyclists during one day of training.


Complete the table by finding the rate of speed for each cyclist. Use the formula r = d ÷ t.


Cyclist Distance (mi) Time (hr) Rate (mi per hr)

Alisha 40 4

Jose 30 2

Raul 40 4

Ruthie 80 5

Answers

Rate of speed of each cyclist is:

Alisha 10mi/hr

Jose 15mi/hr

Raul 10mi/hr

Ruthie 16mi/hr

Data given of each cyclist;

Formula used: [tex]r=\frac{d}{t}[/tex]

here,

r=rate of speed

d=distance

t=time

Alisha: Distance=40mi; Time=4hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{40}{4} =10mi/hr[/tex]

Jose: Distance=30mi; Time=2hr

applying the formula

[tex]r=\frac{d}{t}\\ r=\frac{30}{2} =15mi/hr[/tex]

Raul: Distance=40mi; Time=4hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{40}{4}=10mi/hr[/tex]

Ruthie: Distance=80mi; Time=5hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{80}{5} =16mi/hr[/tex]

Alisha= 10mi/hr

Jose= 15mi/hr

Raul= 10mi/hr

Ruthie= 16mi/hr

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please show your work

Answers

12-x= -6
-x = -6 - 12
-x = -18
solution: x=18
12-x=6
-c = -6 - 12
-x = -18
Answer is x = -18

fast please! Which measure of center is best to use for this set of data?



45, 39, 49, 37, 3, 51

Question 1 options:

Mean


Median


Mode


Range

Answers

Answer:

Median

Step-by-step explanation:

Mean: Add up all the numbers, then divide by how many numbers there are.

Median: Arrange your numbers in numerical order. Count how many numbers you have. Go to the number in that position and average it with the number in the next higher position to get the median.

Mode: Put the numbers in order from least to greatest and count how many times each number occurs.

Range: The difference between the smallest and highest numbers

Answer:

Mean:

[tex]mean = \frac{(45 + 39 + 49 + 37 + 3 + 51)}{6} \\ = 37.3[/tex]

Median:

[tex]3 \: \: 37 \: \: 39 \: \: 45 \: \: 49 \: \: 51 \\ median = ( \frac{n}{2} + 1) {}^{th} \\ = ( \frac{6}{2} + 1) {}^{th} \\ = 4 {}^{th} \: value \\ median = 45[/tex]

Mode:

[tex]mode = none \\ all \: digits \: are \: repeated \: once[/tex]

Range:

[tex]range = 51 - 3 \\ = 48[/tex]

5u > 30
solve for u
pls help

Answers

U > 6 I think but I’m not sure

Sue ate one sweetie one day, and each day afterward she ate one sweetie more than she did the day before. How many sweeties did she eat during her first week?

Answers

Answer:

28

Step-by-step explanation:

1 + 2 + 3 + 4 + 5 + 6 + 7

The cost of an online newspaper is 7. 99 per month. If you buy a one year subscription the cost is 89. 88. How much do you pay each month if you choose the one year subscription

Answers

If we chosen the one year subscription we have to pay  7.49 per each month.

What is Linear Equation ?

Linear Equation can be defined as the equation in which the highest degree of the variable is one.

Given,

The cost of an online newspaper is 7.99

And if we bought the one year subscription the cost is 89.88

Let the the cost of the each month if we bought the one year subscription be x .

for one year the cost is 89.88

for one month could be

that is, x = 89.88/12

x = 7.49

Hence , If we chosen the one year subscription we have to pay  7.49 per each month.

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What is quadrant 3 on a graph?

Answers

The lower left-hand corner of the graph is the third quadrant.

It contains the negative values of both x and y.

Quadrant

The axes of a two-dimensional Cartesian system divide the plane into four infinite regions called quadrants, each bounded by two half-axes.

Cartesian system

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.

coordinates

Coordinates are numbers which determine the position of a point or a shape in a particular space.

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Question: What are the characteristics of a normal distribution? Instruction: Choose all options that best answer the question. Standard deviation will be high The smaller the sample, the more the normal distribution takes on a bell curve Samples are indicative of the population Most values are close to the mean value

Answers

Answer:

Samples are indicative of the population .

Most values are close to the mean value.

Step-by-step explanation:

The normal distribution is characterized by two parameters mean and standard deviation.

The graph of the normal distribution is symmetrical bell shaped curve called the normal curve. The location and shape of the normal curve are determined by mean and standard deviation.

We see from the figure as the mean and standard deviation increase the spread and curve change.

FALSE:   Standard deviation will be high. This is false because more than 50% of the values lie 1 standard deviation of the mean .When the data is clustered around the mean the standard deviation is low.

FALSE: The smaller the sample, the more the normal distribution takes on a bell curve

The sample size greatly affects the normal curve. The greater the sample size the more likely the distribution is bell shape or normal curve.

TRUE: Samples are indicative of the population .

The normal distribution population with mean and standard deviation has a normal sample with and standard deviation.

Most values are close to the mean value

TRUE: About 68% of values are within 1 standard deviation of the mean and around 95% of values are within 2 standard deviations of the mean in the normal distribution.

Which means more than 50% of the values lie 1 standard deviation of the mean.

Help i will give brainiest

Answers

Answer:

your answer is going to be B: Obtuse

Polygon measurement include which of the following?

Answers

Answer:

Length and Width

Length and width i believe

The graph below shows the relationship between average heart rate (in beats per minute) of several mammal
species and their life expectancy (in years).
Which statement is the best description of the association between these variables?

Answers

Answer:

Nonlinar assosion

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

Look at this set of 5 numbers:
1 2 2 2 8
By how much would the mean increase if the number 9 were added to the set?

Answers

The current mean is 3 (15/3)

adding 9 would make the mean 4 (24/6)

therefore the mean would increase by 1

A neighborhood playground has an area of 3,025 square feet. Which is this area expressed in scientific notation?

Answers

Answer:

3.025 x 10³ sq ft

Step-by-step explanation:

Jen's car used 10 gallons of gas to travel 300 miles. How many miles did her car travel per gallon of gas?

Answers

I’m pretty sure you divide 300 miles by 10 gallons-which would give you 30 miles per gallon.

tomatoes cost 1.19 per pound which equation best represents y the total cost of x pounds of tomatoes

Answers

Answer:y=1.19x

Step-by-step explanation: Since each pound of tomato costs 1.19, you multiple the price by the amount of pounds to get the total cost.

Abby earns $7 per hour working as a cashier at a cafe.
She earned $ in a week in which she worked 28 hours. She earned $ in a month in which she worked 112 hours. She earned $ more in the month than she did in the week.

Answers

Answer:

1. So $7 per hour

For 24 hour =7×24= $168

28-24=4

4×7=28

168+28=$196

or

For 28 hour

7×28

= $196

2. 7×112

=$784

3. To find the difference subtract

784-196=$588

Answer:

196; 784; 588

Step-by-step explanation:

Round 9,888,000 to the nearest whole number as needed
Idek :|

Answers

9,888,000 is a whole number...

what is the decrease of 3/2

Answers

Answer:

3/2

Step-by-step explanation:

3/2 is in the simplest form; it can't be decreased any more.

I need help, please help me

Answers

i think it might be the one on the red

a triangle has an area of 240 square inches. the height of the triangle is 15 inches what is the length of the base of the triangle

Answers

Answer:

230.86 / 23.8 =9.7 inches-half of the base.

9.7 x 2 =19.4 inches-the length of the base.

Step-by-step explanation:

Ill mark brainly if its correct. a,b,c, or d ~ quickly please ~

Answers

Answer:

B

Step-by-step explanation:

) In the first week of her school's fundraiser, Julie sold 6 items. By the end of the
fundraiser, Julie had earned a beach ball as a prize for selling more than 20 items.
Let x represent how many more items Julie sold after the first week of the fundraiser.
Which inequality describes the problem?
6 + x > 20
6 + x 2 20
Solve the inequality. Then, complete the sentence to describe the solution.
Julie sold more than
items after the first week of the fundraiser.

Answers

Answer:

6+x > 20

Step-by-step explanation:

solving the inequality-

subtract 6 from sides.

it is x> 14

Julie sold more than 14 items after the first week of the fundrai.

have a great Day!

What is the 4th interval called?

Answers

The 4th interval is called perfect. It is also called consonant.

What is interval in mathematics?

In mathematics, interval means the gap between two particular numbers in where some numbers can be located.  The numbers that are kept between two particular numbers are all real and their ranges must be maintained between two particular number.

What is the 4th interval called?

The 4th interval is called perfect. The fourth interval is always consonant because it is maintained by earlier third and next fifth.

Other perfect intervals along with fourth are unison, fifth and octave. The intervals listed above are all consonant. The fourth interval is called perfect because it behaves just like the unison interval.

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REALY HELP ME PLEASE!!!!!!

Answers

The equation of line in slope intercept form is,

⇒ y = x - 2

When the graph is shift down 9 units.

Then, Equation of line become,

⇒ y = x - 11

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (2, 0) and (0, -2).

Now,

Since, The equation of line passes through the points (2, 0) and (0, -2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 2 - 0) / (0 - 2)

m = - 2 / -2

m = 1

Thus, The equation of line with slope 1 is,

⇒ y - 0 = 1 (x - 2)

⇒ y = x - 2

And, When the graph is shift down 9 units.

Then, Equation of line become,

⇒ y = x - 2 - 9

⇒ y = x - 11

Therefore, The equation of line in slope intercept form is,

⇒ y = x - 2

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what is the theorem related to this triangle!!!! plss hurry up!!!!!​

Answers

Answer:

Its an isosceles triangle..

Step-by-step explanation:

its an isoceles triangle, therefore y will be 40 degrees.

A bag contains 2 green disks,2 yellow disks, and 5 black disks. What is the probability of drawing two green disks without replacement?

Answers

Answer: 1/36

Step-by-step explanation: 2/9 x 1/8 =2/72 = 1/36

Step by step=1/36 the answer is 1/36

80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 whats the mean

Answers

Answer:

sum up the numbers and divide by the numbers of values.

80+84+79+44+87+73+89+90+82+89+93+97+77+71 / 14

1135/14

= 81•1 is the mean

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