if a coin is flipped and a fair die is rolled 96 times, predict how many times you would flip a head and roll a 6

Answers

Answer 1

Answer:

Step-by-step explanation:

on flipping a coin, we either get a heads or a tails and both the events are equally likely. So the probablity of getting a tails is 1/2.

Now

On rolling a die, we can get 6 possible outcomes(1,2,3,4,5,6)

But the favourable outcomes (an even number) are only 3. So the probablity of getting an even number is 3/6=1/2

In case. we have 2 events that need to occur together, we simply need to multiply their individual probablities to get the probablity of getting both the events together

So our required answer is

p(even number)× p(tails)= 1/2 × 1/2 = 1/4


Related Questions

It takes 343 inches³ of water to fill an empty cube. If the sides of the cube were tripled, how much water would be needed to fill the new cube?

Answers

I believe it would be 9,261 inches of water to fill the new cube.


To find the maximum capacity of a cube you have to multiply s*s*s (each s stands for one of its sides)

The side length happens to be 7. 7 times 7 times 7 is 343. If we triple that length now it’ll be 21. Multiply 21 by 21 by 21 it’ll give you 9,261 inches

Which expression is equivalent to 2 + 2m + m + 6 + m?
2(m + 3)
4(2 + m)
8 + 2m
12m

Answers

Answer:

24m+30

Step-by-step explanation:

i think i dont know for sure.

I’m not sure this is the correct answer but I think it’s 4(2 + m)

Which situation is best represented with a negative number?

Answers

Answer: 1

Step-by-step explanation:

Please help!

20+(5 x 2/5) + 3

Answers

Answer:

25.

Step-by-step explanation:

Whenever you attempt to solve an equation with multiple operations, remember this: PEMDAS

ParenthesisExponentiation (exponents)Multiplication/DivisionAddition/Subtraction

**THIS IS THE ORDER IN WHICH YOU SHOULD SOLVE EQUATIONS WITH MULTIPLE OPERATIONS.**

First, we solve what is in parenthesis.

20+(5 x 2/5) + 3

5/1 x 2/5 = 10/5 = 2 (simplified)

Then, replace the equation with the answer.

20 + 2 + 3

Secondly, there are no exponents.

There is no multiplication nor division.

However, there is addition.

20 + 2 + 3

20 + 2 = 22

Now, we solve the remaining addition problem.

22 + 3 = 25.

Therefore, 20+(5 x 2/5) + 3 = 25.

Follow

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

5*2/5=2
20+2+3
25

Consider the cube shown below. Identify the two-dimensional shape of the cross-section if the cube is sliced horizontally.

Starting with the same cube, identify the two-dimensional shape of the cross-section if the cube is sliced vertically.

Explain why the shapes are the same or different.
Write an essay. Pls, help. Thx.

Answers

Wait which cube this one’s confusing

people were surveyed about the types of pets they own and their housing situation

Answers

Is 19%i already pass that it was easy
C? Not quite sure, i learned about this a few years ago i forgot.

Two different random samples were used to determine students’ favorite park in town. The results are below. Make at least two inferences.

PLZ CHECK YOUR WORK... thanks!

Answers

Answer:

There going by 5's

Step-by-step explanation:

1. More students like going to the tree park in sample 2 than sample one.
2. There were five more students in sample 2 than sample one.

A box covers an area of 612
6
1
2
in2 when resting on its base. The volume of the box is 4512
45
1
2
in3.
Which of the following can you find from the given information? Select all that apply.

Answers

question is unclear to me ,, can you rewrite it in a nicer way so i can answer?

Answer:

Yeah, I don't get it either.....

Step-by-step explanation: because it is unclear:/

explain how you can use proportional reasoning to determine the whole if you know that 21 is 60% of the whole

PLEASE EXPLAIN. DONT GIVE THE ANSWER,, GIVE AN EXPLANATION

Answers

Using a proportion ratio you can make the equation: 21/60=x/100 there you can use the means extremes property to get your answer, hope this helped

Mr Hall earns $1500 per month. If income tax is deducted at 20%, find his net pay after tax.

Answers

Answer:

$300

Step-by-step explanation:

1500 • 20%

1500 • 20/100

15 • 20

300

Hope this helps, good luck! :)

His net pay after tax is $1,200

Calculations and Parameters:

Given that he earns $1500

His income tax is 20%

Therefore, to find the amount deducted,

20/100 x 1500

= $300

Hence, to find his net pay,

1500-300

=$1,200

Read more about income tax here:

https://brainly.com/question/26316390

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Actual math question help....

Answers

Answer:

6

Step-by-step explanation:

first we need to find the volume using this formula V=Bh

V=(3/2)(2)

V= 3 cm³

now divide

3/.5= 6

so 6 1/2 cm cubes will fit

Answer:

6 I think.

Step-by-step explanation:

I may be wrong but I hope this helps :)

To celebrate her birthday, Whitney wants to take her friends adventuring in a 4WD vehicle from All Terrain Tours.


The vehicle can only carry 1700 pounds in total weight. Whitney calculates that the average weight of her friends is 165 pounds. She also thinks that she will need to pack 400 pounds of snacks, drinks, safety equipment etc. Whitney also understands that each person will carry 10 pounds of their own personal gear.


How many friends can Whitney invite?


Write an equation to help you figure out how many friends Whitney can invite to go adventuring with her. Use f as your variable for friends.
PLEASE HELP ASAP

Answers

Answer:

Whitney can bring 6 friends.

Step-by-step explanation:

The reason why is this:

Whitney is bringing 400 pounds of things plus her own body weight!

400 + 165 = 565 pounds

Now we add on Whitneys freinds which is 165 (their body weight) + the 10 pounds of gear which equals 175 pounds. So each friend would be 175 pounds total weight.

175 x 6 = 1,050 pounds

If we add on Whitneys total weight thats:

565 + 1,050 = 1,615

Adding on another friend would be 1,790 pounds which would be over the weight limit for the vehicle.

Hence, Whitney can bring along 6 friends for her birthday.

Hope this helped! :)

PLEASE HELP ASAP Ms. Roberts has a container of snap cubes. There are 25 grays, 33 black, 18 red, 5 brown, and 12 yellow. Create a sample space for the probability of choosing a snap cube.

A. 25, 33, 18, 5, 12

B. 25 gray, 33 black, 18 red, 5 brown, and 12 yellow

C. Gray, Black, Red, Brown, Yellow

Answers

The answer is definitely C
it’s C 100% positive sure

Fatimah is driving at 1.5 km in 2 min. What is distance she covered in 2 1/4 h?

Answers

Answer:

101.25 km

Step-by-step explanation:

To solve, we need to first find how much she drives in one minute and then multiply that by the number of minutes she drives.

1.5 km = 2 minutes

divide both sides by 2.

1 minute = 0.75 km

2.25 hours = 2.25 * 60 =  135 minutes

Multiply the speed by the time to find distance.

135 * 0.75 = 101.25 km

Thus, she covered 101.25 km in 2 1/4 hours.

101.25km

Your welcome just took a test with this!

Np!

Find the slope and the y-intercept

5x-3y=6

Answers

Answer: Look you have a website called symbolab and another called desmos for this stuff.

Step-by-step explanation:

the slope is 5/3 and the y-intercept is -2
hope this helps!!

Knowing that correlation coefficients have values between -1 and 1 and that the closer the value is to -1 or 1, the stronger the correlation -- which of the following correlation coefficients would represent the strongest correlation?
0.02
0.87
-0.5
-0.97

Answers

Answer: -0.97

Explanation:
-0.97 is the closest number to -1 or 1.

-0.97 has the strongest correlation. Therefore, option D is the correct answer.

What is the correlation coefficient?

The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.

Given that, correlation coefficients have values between -1 and 1 and that the closer the value is to -1 or 1, the stronger the correlation

From the options -0.97 is closer to -1

Thus, -0.97 has the strongest correlation

Therefore, option D is the correct answer.

Learn more about the correlation coefficient here:

https://brainly.com/question/27226153.

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explain why 6^3x7^3=42^3 is correct.

Answers

Answer:

[tex] {6}^{3} \times {7}^{3} = {(6 \times 7)}^{3} = {42}^{3} [/tex]

Step-by-step explanation:

When two or more quantities have the same exponents, their bases can be multiplied together.

Because 6 x 6 x 6 is 216 and 7 x 7 x 7 is 343 if you multiply those two umbers together you will get the same answer as 42 x 42 x 42 which is 74,088

What is the exponential regression equation that fits these data?
X Y
-4 6.01
-3. 6.03
-2. 6.12
-1 6.38
0 8
1 12
2 13
3 36
4 88

Answers

Answer- y = 12.11 x 1.36(x)

The exponential regression equation that fits the data is:

[tex]y = 4.981 \times 2.674^x[/tex]

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Exponential regression is a statistical method used to model relationships between two variables, where one variable is the exponent of another.

In this case, we have two variables, X and Y, and we want to find an exponential function that best fits the data.

The general form of an exponential function is [tex]y = a \times b^x,[/tex]

where a and b are constants.

To find the exponential regression equation that fits the data, we need to find the values of a and b that minimize the sum of the squared errors between the predicted values of Y and the actual values of Y.

Using a software program or a calculator with regression capabilities, we can input the data and find the values of a and b that best fit the data.

In this case, the exponential regression equation that fits the data is:

[tex]y = 4.981 \times 2.674^x[/tex]

This equation has an R-squared value of 0.995,

which indicates a very good fit between the data and the exponential model.

Thus,

The exponential regression equation that fits the data is:

[tex]y = 4.981 \times 2.674^x[/tex]

Learn more about equations here:

https://brainly.com/question/17194269

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Enter the rational number as a/b , where a and b are integers.

5 2/9

The rational number 5 2/9 is equal to

Answers

The answer is 47. 5×9 = 40 5+2 = 47

Heya! question- Charlie's dog Rylo, weighs 42 lbs at the vet office, but then weighs 46 lbs at the next visit, what is the percent change in Rylo’s weight?

Answers

Answer:

9% change

Step-by-step explanation:

‎‎‎‎‎‎‎‎‎If DEF has vertices D(-1,-6),E(-2,4), and F(3,-2)

Answers

D(-3,-7)

E(-4,3)

F(1,3)

I need the answers to all of them please :(

Answers

Answer:

2) 0.081

3) 0.741

4) 71.3

5) 0.0422

6) 79.9971

7) 0.00265

8)0.0935

Answer:

1 - 89.974

2 - 0.081

3 - 0.741

4 - 71.3

5 - 0.0422

6 - 79.9971

7 - 0.00265

8 - 0.0935

[ 2 ( 7 . 25 ) + 2 ( 24 )] - 10

Answers

[2(7.25)+2(24)]-10=52.5

Brand A has a pack of 28 pencils for $4.19. Round to the nearest tenth

Answers

The answer is $4.2
.19 rounded to the nearest tenth is .20 but you would just put it as .2

Answer:

4.20

Step-by-step explanation:

"1" is in the tenths place, so we look at nine to see if its bigger or smaller than 5, it is so we round up to .20 giving us 4.20

(I also feel this isnt the whole question, but this is the answer for this part anyway.)

what is the answer to this (in attached photo)

Answers

Answer:

60 minutes is the answer.

Step-by-step explanation:

10 x 6 = 60

15 x 4 = 60

12 x 5 = 60

Answer: 60 Minutes

Step-by-step explanation:

Scones = 15 Minutes

Muffins = 12 minutes

Cookies = 10 minutes

Who ever gets this right will get a brainiest and a good rating

Answers

Answer:

Radius: 7 cm, Diameter: 14 cm

Step-by-step explanation:

Correct me if I'm wrong, but I understood that 14 cm is the length of the line segment drawn across the circle. We know that the definition of the diameter is "any straight line segment that passes through the center of the circle and whose endpoints lie on the end of each circle", which can be defined as the line that is shown with a length of 14 cm. It is also known that the radius, a line drawn from the center of the circle to an endpoint, is always half of the diameter, which in this case is 14 cm, so the radius would be 7 cm.

Radius : 7 , Diameter : 14

(this is 6th grade math) please help​

Answers

Answer:

c

Step-by-step explanation:

Use what you know about the number of faces, vertices, and edges in polyhedrons to choose True or False for each statement.

A triangular pyramid has the same number of faces as vertices.
Choose...


A triangular prism has the same number of faces as vertices.
Choose...


The sum of the faces and vertices for a triangular prism is 11.
Choose...


The number of edges of a polyhedron is 2 less than the sum of the number of faces and vertices.
Choose...

Answers

Answer:

Step-by-step explanation:

#1 true

#2 false

#3 true

#4 i need the choices

A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:

(a) 6 % , (b) 6.1 %, (c) 6.2 %, (d) 6.3 %, (e) 6.4 %

Answers

Answer:

Income from $ 4000 at 5 % in one year = $ 4000 of 5 %.

= $ 4000 × 5/100.

= $ 4000 × 0.05.

= $ 200.

Income from $ 3500 at 4 % in one year = $ 3500 of 4 %.

= $ 3500 × 4/100.

= $ 3500 × 0.04.

= $ 140.

Total income from 4000 at 5 % and 3500 at 4 % = $ 200 + $ 140 = $ 340.

Remaining income amount in order to have a yearly income of $ 500 = $ 500 - $ 340.

= $ 160.

Total invested amount = $ 4000 + $ 3500 = $7500.

Remaining invest amount = $ 10000 - $ 7500 = $ 2500.

We know that, Interest = Principal × Rate × Time

Interest = $ 160,

Principal = $ 2500,

Rate = r [we need to find the value of r],

Time = 1 year.

160 = 2500 × r × 1.

160 = 2500r

160/2500 = 2500r/2500 [divide both sides by 2500]

0.064 = r

r = 0.064

Change it to a percent by moving the decimal to the right two places r = 6.4 %

Therefore, he invested the remaining amount $ 2500 at 6.4 % in order to get $ 500 income every year.

Answer: (e)

I know that this is hard to understand but if you need help let me know

Have a great day

............................................. (i had to do that bec it needed to be 20 characters)

The circle has a circumference of 628 inches. Find x. Use π = 3.14.

Answers

Answer:

x = 99.9

Step-by-step explanation:

628 = 2πx

---> x = 99.9

100


628 = 2piex

628 = 6.28x
628/6.28 = 100
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