Jody flips a fair coin three times and each time it lands on heads. Jody believes he can calculate the probability of this occurring by adding the probability of getting a head on each individual flip. Explain why this is incorrect.

Answers

Answer 1

Answer:

When you have multiple events (here each flip of the coin is a individual event) the probability of all the events (or the joint probability) is equal to the product of the probabilities of each event.

For example, with a fair coin the probability of getting heads is 0.50

If you get heads 3 times, and you add the probabilities you get:

0-50*3 = 1.50

this has no sense, because the probability must be a number between 0 and 1.

The actual probability is:

P = 0.50*050*0.50 = 0.125


Related Questions

y=x²-6x+8 what is y when x is 0?

Answers

Answer:

The value of y is 8.

Step-by-step explanation:

In order to find the value of y, you have to put in x = 0 into the equation :

[tex]y = {x}^{2} - 6x + 8[/tex]

Let x = 0,

[tex]y = {0}^{2} - 6(0) + 8[/tex]

[tex]y = 8[/tex]

3x=4 How do I solve for X?

Answers

Answer:

x=4/3

Step-by-step explanation:

transpose 3 to the lhs

hope this helps

plzz mark me brainliest

Nadia's grades on four quizzes are: 95 75 85 95. What is the median, mode and range of her quizzes?

Answers

Answer:

range:20 mode:95 median:90

Step-by-step explanation:

The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.

Answers

The original prize of the computer is £537.63.

The given parameters:

Final prize of the computer, y = £500Percentage decrease in prize, = 7% = 0.07

Original prize of the computer

The original prize of the computer is calculated as follows;

Let the original prize of the computer = x

y = x(1 - 0.07)

500 = x(1 - 0.07)

500 = 0.93x

divide both sides by 0.93

[tex]x = \frac{500}{0.93} \\\\x = 537.63[/tex]

Thus, the original prize of the computer is £537.63.

Learn more about percentage discounts here: https://brainly.com/question/1453984

What is the slope of the line that passes through the poiņts (-10, 4) and (-10,8)?
Write your answer in simplest form.

Answers

Answer:

Slope is undefined

Step-by-step explanation:

Slope is calculated by [tex]\frac{y1-y2}{x1-x2}[/tex] so now you put the points (-10,4) and (-10,8) into that.

Since both x values are the same you can tell that the line is a vertial line meaning the slope is undefined.

having a small brain moment, can you please help and show work

Answers

Answer:

The value if x is 0.9875.

Step-by-step explanation:

First, we have to get rid of brackets by expanding :

[tex]0.5(2x + \frac{3}{4} ) - \frac{1}{3} (0.1 + x) = 1[/tex]

[tex]0.5(2x) + 0.5( \frac{3}{4} ) - \frac{1}{3} (0.1) - \frac{1}{3} (x) = 1[/tex]

[tex]x + \frac{3}{8} - \frac{1}{30} - \frac{1}{3} x = 1[/tex]

Next you have to collect like terms :

[tex]x - \frac{1}{3} x + \frac{3}{8} - \frac{1}{30} = 1[/tex]

[tex] \frac{2}{3} x + \frac{41}{120} = 1[/tex]

Lastly, you can solve x :

[tex] \frac{2}{3} x = 1 - \frac{41}{120} [/tex]

[tex] \frac{2}{3} x = \frac{79}{120} [/tex]

[tex]x = \frac{79}{120} \div \frac{2}{3} [/tex]

[tex]x = \frac{79}{80} [/tex]

[tex] x = 0.9875[/tex]

PLEASE HELP!! this is due today! I will mark the brainliest!
A, B, C or D
(Graph and question are attached)

Answers

Answer:

the answer is C

Step-by-step explanation:

1. (9t3n5)(-21n?) simplify

Answers

Answer:

..............................

In a math class with 28 students, a test was given the same day that an assignment
was due. There were 18 students who passed the test and 23 students who completed
the assignment. There were 16 students who passed the test and also completed the
assignment. What is the probability that a student who passed the test did not
complete the homework?

Answers

Answer:

Probability that a student who passed the test did not  complete the homework = 0.07

Step-by-step explanation:

Given:

Total number of students = 28

Number of students who passed the test = 18

Number of students who completed  the assignment = 23

Number of students who passed the test and also completed the  assignment = 16

To find: probability that a student who passed the test did not  complete the homework

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favorable outcomes/total number of outcomes

Let A denotes the event that students passed the test and B denotes the event that students completed  the assignment

P(A only) = [tex]P(A)-P(A\cap B)[/tex]

Here,

[tex]P(A)=\frac{18}{28}\,,\,P(A\cap B)=\frac{16}{28}[/tex]

So,

[tex]P(A\,\,only)=\frac{18}{28}-\frac{16}{28}=\frac{2}{28}=\frac{1}{14}=0.07[/tex]

Therefore,

probability that a student who passed the test did not  complete the homework = 0.07

Answer:

2/9

Step-by-step explanation:

Residents of a small city voted on whether
to allow a developer to build a shopping
center. The number of votes in favor of the
shopping center was 3,400. The number of
votes against the shopping center was 15,600.
What percent of the voters were in favor of
building the shopping center?
What percent of the voters were against of
building the shopping center?

Answers

Add the two numbers together to find total votes:

3,400 + 15,600 = 19,000 total votes.

Divide votes for by total votes:

3,400 / 19,000 = 0.1789

Multiply by 100:

0.1789 x 100 = 17.89% voted for it.

Subtract the percent that votes for it from 100%

100% - 17.89% = 82.11% voted against it.

The answers probably need to be rounded, so 18% for, and 82% against.

If 5,x,y,40 are in geometrical progression, find x and y respectively.

Answers

Answer:

x = 10, y = 20

Step-by-step explanation:

Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.

z³ = 8 → z = 2

Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!

Please help me ASAP. Need to hand in by today​

Answers

Answer:

Heyyy. Glad to see someone from malaysia taking add maths hete. Hope this helps

Are the ratios of free throws made to free throws attempted by the rockets and by the turbos equivalent?

Answers

Answer:

No, they're not equivalent.

Step-by-step explanation:

In the image attaches you can observe the Free Throws Made and the Free Throws Attempted.

Team Rockets Made 8 Free Throws, and Attempted 24, which give a ratio of

[tex]R=\frac{8}{24}=\frac{1}{3}[/tex]

Team Turbos Made 16 free throws and attempted 36, which give a ratio of

[tex]T=\frac{16}{36}=\frac{8}{18} =\frac{4}{9}[/tex]

As you can see, the ratio are diferent.

Therefore, the ratios are not equivalent.

Answer:

no

Step-by-step explanation:

Please help me now plz I will mark you brainliest

Answers

Answer:

5.66 units.

Step-by-step explanation:

cos 25 =- adjacent side / hypotenuse

cos 25 = 4 / AB

AB  cos 45 = 4

AB = 4 / cos 45

= 5.66.

The Figure below shows a triangle with vertices a and B on a circle and vertex C outside it Side AC is tangent to the circle side BC is a sink and intersecting the circle at point X what is the measure of angle ACB

32
6
24
12

Answers

Answer:

the answer is 12 degrees

The measure of angle ACB when the secant BC and the tangent AC intersect is 12°

Secant and Tangent intersection

When a secant and a tangent meet outside the circle, thwe product of the length of the secant and its external segment equals the square of the length of the tangent segment.

Therefore,

arc XA = 2(64) = 128 degrees.

Hence,

m∠C = 1 / 2 (152 - 128)

m∠C = 1 / 2 (24)

m∠ACB = 12°

Therefore, angle ACB is 12 degrees.

learn more on secant and tangent here: https://brainly.com/question/27248564

i have 811 handkerchiefs in all and need 25 for one quilt

Answers

Answer:

32.44 quilts will be sewn

Step-by-step explanation:

811/25 = 32.44

Answer:

32 quilts with .44 left over

Step-by-step explanation:

This answer is assuming you are trying to find how many quilts you can make

Proving the Parallelogram Side Theorem

Answers

The proofing that ABCD is a parallelogram can be done through the parallelogram side theorem.

What is the parallelogram side theorem?

It should be noted that the parallelogram side theorem simply means that the opposite sides of a parallelogram are equal and also parallel to each other.

Here, BCA and DAC are alternate interior angles. Also, AC denotes the reflexive property. Therefore, BC is the same as DA as they're equal.

Learn more about parallelogram on:

brainly.com/question/20526916

#SPJ2

karl read 3 times as many books as martina.how many books did karl read

Answers

Answer:

Step-by-step explanation: multiply the number of books Martina read 3 times.

Answer:

mutpliy the number of books martina read by 3

Step-by-step explanation:

Hold do I solve this

Answers

Answer:

(x,y) -> (-y,x)

Step-by-step explanation:

You get the coordinates of the image provided and apply them to the rule so...

(-3,1) to (-1,-3)

(-2,-4) to (-4,2)

(-4,-4) to (4,-4)

Then, connect the points.

PLZ MARK BRAINLIEST!!!

40$ to the markup rate of 65% what is the final price?

Answers

Answer:

$66

Step-by-step explanation:

that's the answer I thinkkkk

One week, Lucy earned $234.00 at her job when she worked for 13 hours. If she is
paid the same hourly wage, how many hours would she have to work the next week to
earn $108.00?

Answers

Answer: 6 hours

Step-by-step explanation:divide 234 by 13 234/13 you get

18 divide 108 by 18 and then you get

6

Please, someone, help if I don't get everything done ill be in trouble
At a town fair, 9 tickets cost twelve dollars. How many tickets could you expect to receive for eight dollars, assuming there is no discount for buying more tickets?

4

5

6

7

Answers

Answer:

6

Step-by-step explanation:

Answer:

C. 6

Step-by-step explanation:

9 tickets ---  $12

x tickets  --- $ 8

9/12 = x/8

x =8*9/12= 6

Jim currently has​ $1,250 in his bank account and Sally has​ $1,400 in her bank account. Jim deposits​ $27.50 per week and Sally deposits​ $20 per week into her account. After how many weeks will they have the same amount of​ money? Jim and Sally will have the same amount of money after nothing ​week(s). ​(Type an integer or a​ decimal.)

Answers

Answer:

20 weeks.

Step-by-step explanation:

The equations of money deposits of each bankholder as a function of time are, respectively:

Jim

[tex]p_{1} = 1250 + 27.50\cdot t\\[/tex]

Sally

[tex]p_{2} = 1400 +20\cdot t[/tex]

The number of weeks so that both have the same amount of money is:

[tex]1250 + 27.50\cdot t = 1400 + 20\cdot t[/tex]

[tex]7.50\cdot t = 150[/tex]

[tex]t = 20[/tex]

Find the slope of the line passing through the points (0,3) & (5,-1)

Answers

Answer:

[tex]-\frac{4}{5}[/tex]

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (0,3) and (5,-1).

[tex]m=\frac{-1-3}{5-0}=\frac{-4}{5} =-\frac{4}{5}[/tex]

The slope is -4/5.

Answer:

y=mx+b

y=8/10x+(0,3)

Step-by-step explanation:

hope this helps

Please help me... The question is in the picture

Answers

Answer:

1/12 ( -x -4 )

Step-by-step explanation:

1/12 ( -x - 4 )

1/12(-x) = -1/12x  Multiply 1/12 and -x to get -1/12x.

1/12 x -4 = -1/3  Multiply 1/12 and -4 to get -1/3.

So, therefore, the expression 1/12 ( -x - 4 ) is equivalent to -1/12x - 1/3.

Graph the circle (2x - 3)2 + (y + 3)2 =36

Answers

Answer: 9 on the x axis  and 18 on the y axis

Answer:

[tex]\mathrm{Ellipse\:with\:center}\:\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:\:\mathrm{semi-major\:axis}\:b=6,\:\:\mathrm{semi-minor\:axis}\:a=3[/tex]

Step-by-step explanation:

[tex]\left(2x-3\right)^2+\left(y+3\right)^2=36\\\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}=1\:\mathrm{is\:the\:ellipse\:standard\:equation}\\\mathrm{with\:center}\:\left(h,\:k\right)\:\mathrm{and\:}a,\:b\mathrm{\:are\:the\:semi-major\:and\:semi-minor\:axes}\\\mathrm{Rewrite}\:\left(2x-3\right)^2+\left(y+3\right)^2=36\:\mathrm{in\:the\:form\:of\:the\:standard\:ellipse\:equation}\\\left(2x-3\right)^2+\left(y+3\right)^2=36\\\mathrm{Rewrite\:as}\\\left(2x-3\right)^2+\left(y+3\right)^2-36=0[/tex]

[tex]\mathrm{Simplify}\:\left(2x-3\right)^2+\left(y+3\right)^2-36:\quad 4x^2-12x+y^2+6y-18\\4x^2-12x+y^2+6y-18=0\\\mathrm{Add\:}18\mathrm{\:to\:both\:sides}\\4x^2-12x+y^2+6y=18\\Factor\:out\:coefficient\:of\:square\:terms\\4\left(x^2-3x\right)+\left(y^2+6y\right)=18\\\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}4\\\left(x^2-3x\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}\\\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}1[/tex]

[tex]\frac{1}{1}\left(x^2-3x\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}\\\mathrm{Convert}\:x\:\mathrm{to\:square\:form}\\\frac{1}{1}\left(x^2-3x+\frac{9}{4}\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)\\\mathrm{Convert\:to\:square\:form}\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)\\\mathrm{Convert}\:y\:\mathrm{to\:square\:form}[/tex]

[tex]\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y^2+6y+9\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\mathrm{Convert\:to\:square\:form}\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y+3\right)^2=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\mathrm{Refine\:}\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y+3\right)^2=9[/tex]

[tex]\mathrm{Divide\:by}\:9\\\frac{\left(x-\frac{3}{2}\right)^2}{9}+\frac{\left(y+3\right)^2}{36}=1\\\mathrm{Rewrite\:in\:standard\:form}\\\frac{\left(x-\frac{3}{2}\right)^2}{3^2}+\frac{\left(y-\left(-3\right)\right)^2}{6^2}=1\\\mathrm{Therefore\:ellipse\:properties\:are:}\\\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:a=3,\:b=6\\b>a\:\mathrm{therefore}\:b\:\mathrm{is\:semi-major\:axis\:and}\:a\:\mathrm{is\:semi-minor\:axis}[/tex]

[tex]\mathrm{Ellipse\:with\:center}\:\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:\:\mathrm{semi-major\:axis}\:b=6,\:\:\mathrm{semi-minor\:axis}\:a=3[/tex]

Simplify the expression (3xy-3/5x-2y2)2

Answers

6x3y5

—————

5

Step-by-step explanation:

Please help me with this math problem :)

Answers

Answer:

[tex]=2/4=1/2[/tex]

Step-by-step explanation:

Please help!
You spin the spinner twice.

What is the probability of landing on a 4 and then landing on a 4?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer: 1/16

Step-by-step explanation: It's important to understand that the two spins are called independent events because the outcome of the first spin does not affect the outcome of the second spin.

To find the probability of independent events, we first find the probability of each event, then we multiply the probabilities together.

Since there is one 4 on the spinner and four possible outcomes, each of which is equally likely, the probability of spinning a 4 is 1/4.

This mens that 1/4 is the probability of

getting a 4 on the second spin too.

Now we multiply.

1/4 x 1/4 gives us 1/16.

So the probability of spinning a 4 twice is 1/16.

What is the volume of the pyramid?
12 in
8 in
10 in
120 in
320 in
480 in
960 in

Answers

Answer:

B. 320 inches cubed

Step-by-step explanation:

A pyramid's volume is denoted by: V = (1/3) * B * h, where B is the base area and h is the height.

Here, the base is a rectangle with dimensions 10 inches by 8 inches. The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. The length is 8 and the width is 10, so plug these in:

A = lw

A = 8 * 10 = 80

So, we know that B = 80.

We are also given that the height is h = 12, so plug these values into the volume formula:

V = (1/3) * B * h

V = (1/3) * 80 * 12 = 320

The answer is thus B.

Answer:b

Step-by-step explanation:

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