One coin is flipped and then one die is rolled. What is the probability of getting a head on the coin and an odd number on the die? {?} Give your answer as a percentage.

Answers

Answer 1
Sample Space for coin=H,T
n(S)=2
n(head)=1
P(of getting a head)=1/2

Sample Space for die=1,2,3,4,5,6
n(S)=6
n(odd numbers)=3
P(of getting an odd number)=3/6=1/2

P(of getting a head on the coin and an odd number on the die)=1/2 + 1/2 =1
Probability expressed as a percentage=1*100%=100
Answer 2

The probability of getting a head on the coin and an odd number on the die is 25%

What is the probability?

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

One coin is flipped, and then one die is rolled.

Let H is the head and T is tails.

The sample space is {H, T}

The probability of getting a head on the coin

= The possible outcomes / the total outcomes

= 1/2

One die is rolled.

So, the sample space is {1, 2, 3, 4, 5, 6}

The sample space for odd number is {1, 3, 5}.

The probability of getting an even number on the die

= 3/6

= 1/2

If two events A and B are independent, then the probability that they occur together is the product of their individual probabilities:

P(A and B) = P(A) P(B)

= 1/2 x 1/2

= 1/4

= 0.25

And 0.25 in percentage is 25%.

Therefore, the probability is 1/4.

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Related Questions

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Give two systems of equations that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.

Answers

Answer:

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

Step-by-step explanation:

Just to add a bit more information, "Elimination" Can have a variety of other interpretations.  Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.'  Do not worry if you have not heard of these terms.  They are used in Linear Algebra when referring to "Elimination techniques"

 

Gaussian Elimination

Gauss-Jordan Elimination

LU-Decomposition

QR-Decomposition

 

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

 

Substitution is the preferred method for 2 equations in 2 unknowns.  The constants are unimportant other than having a non-zero determinant.  It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:

 

Example:

 

4X + 5Y = 9

5X -  4Y = 1

 

Notice that 20 is a LCM of either the X or Y variable.  So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)

 

4(4X + 5Y = 9)

5(5X -  4Y = 1)  

 

Multiplying to produce the LCM factors:

 

16X + 20Y = 36

25X -  20Y = 5

 

Adding the equations

 

41X = 41

X = 1

 

Substitution into either equation yields

Y = 1

 

Elimination techniques are preferred for Rank-n>3

Answer:

I like the view

Distance between each pair of points (-6,-4.7) and (-6,4.1)

Answers

Answer:

8.8

Step-by-step explanation:

as X1=X2

we use | Y2-Y1 |

=| 4.1 -(-4.7) |

=| 8.8 |

=8.8

Find the area of the shape.

Answers

Answer:

27 π

Step-by-step explanation:

Notice that the shape is 3/4 of a circle with radius 6. So we need to find 3/4 of the area of a circle with radius 6. The area of a circle with radius 6 is [tex]\pi r^2 = \pi \cdot 6^2 = 36\pi[/tex].

3/4 of this is [tex]\frac{3}{4} \cdot 36\pi = \boxed{27\pi.}[/tex]

Can you please help me?

Answers

Step-by-step explanation:

60 cookies with 4 cups

that means 60 per 4 = 60/4 = 15

and that means that he can make 15 cookies with 1 cup.

that is clear : from 60/4 we immediately know 15/1.

and now, as we know how many cookies can be made with 1 cup, it is easy to say how many cookies can be made with 3 cups. right, 3 times a much.

so, yes, we multiply 15 by 3 and get 45 cookies as answer.

The Wilson family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 had English heritage. What is the minimum number of people who claimed ancestry from all three heritages? What is the formula i use to find out the answer of the question? and how do i find out the answer?

Answers

Answer:

Out off 100

Step-by-step explanation:

10 don't have dutch heritage.

20 don't have German heritage.

25 don't have English heritage.

100 - 55

At minimum, 45 people have all three heritages.

You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a

Answers

Answer:

15 batteries

Step-by-step explanation:

a. We have

5 batteries = 3 days

5 batteries/3 days = 1

5 batteries/3 days

we need to convert this to 9 days, so

x amount of batteries = 9 days

x batteries / 9 days = 1

5 batteries / 3 days = x batteries / 9 days

b.

5 batteries / 3 days = x batteries / 9 days

multiply both sides by 9 days to get rid of the denominators as well as the days variable

5 batteries * 9 days / 3 days = x batteries

5 batteries * 3 = x batteries

15 batteries = x batteries

x = 15

The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let x be number of batteries required for 9 days trip.

a) So, the proportion is

3 : 5 :: 9 : x

b) Solve for x, that is

3x=45

⇒ x=15

Therefore, the number of batteries required for 9 days trip is 15.

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Simplify (y²z⁴)³ and explain answer

Answers

Answer:

y^6 z^12

Step-by-step explanation:

When the bases are the same that means that the powers on the inside can be multiplied by whatever is outside.

Hope this helps :)

PLEASE HELP TEST DUE SOON⚠️ which graph should be used to show the situation described? The temperature increases by4° every hour

Answers

Step-by-step explanation:

the bottom left is the right option.

just by saying "the temperature increases ..." the 2 options on the right are wrong. the line has to go up, not down.

the first graph (top left) increases too strongly, way more than just 4ft per hour.

Barney’s weight is 20 pounds greater than the product of Denny’s weight and 2. Let d represent Denny’s weight. Write an expression that represents Barney’s weight

Answers

Answer:

2d+20

Step-by-step explanation:

since he is 20 pounds greater than denny you would just add 2d and 20 im pretty sure

or ig you want to write out the whole thing it would be y=2d+20

Hope This Helps!!

Let d represent Denny’s weight.Therefore, the quotient of Denny’s weight and 2[tex] = d \times 2 = 2d [/tex]Barney’s weight is 20 pounds greater than the product of Denny’s weight and 2.Therefore, an expression that represents Barney's weight is [tex] 2d + 20[/tex]

Answer:

[tex]2d + 20[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

PLEASE SHOW YOUR WORK !!! I REALLY NEED HELP

Answers

I did the math in the link below  

Your bank account starts with $1550 and every month $50 is automatically deducted for the cable bill. You want to know how long, x, it would take your account to drop below $0. How many months would it take for your account to drop BELOW $0?

Answers

Step-by-step explanation:

C(x) = 1550 - 50x

With C(x) the cash you have every month (x).

Now we solve:

1550 - 50x < 0

So it becomes:

50x > 1550

x > 31

The 32nd month you'll be broke.

The area of the parallelogram is 17.6cm. What is the length of the base

Answers

Answer:

hope it helps

area of parallelogram: base × height = 17.6 cm sq

                                  ⇒ 4 × h = 17.6

                                  ⇒ h = 17.6/4

                                  ⇒ h = 4.4 cm

Step-by-step explanation:

The height of the parallelogram is 4.4 cm.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, a area of a parallelogram is 17.6 cm² and its base is 4cm.

We know that, the area of parallelogram is Base × Height

Now, 17.6 =4× Height

Height =17.6/4

Height =4.4 cm

Therefore, the height of the parallelogram is 4.4 cm.

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"Your question is incomplete, probably the complete question/missing part is:"

If a area of a parallelogram is 17.6 cm square and its base is 4cm, find its corresponding height .​

Can someone help me with these equation

Answers

Answer:

6

Step-by-step explanation:

i think this is correct answer

the answer is b = 12


mark me

1/2 mile in 1/16 an hour.what is its rate in miles per hour

Answers

Answer:

Step-by-step explanation:

Miles per hour is a speed and we usually just hear the number of how fast a car or a rocket or meteor is going. We look at our speedometer in the car and see how fast we're driving, 35mph or 73mph

But it is literally a formula. Miles on top and hours on the bottom, like a fraction. If the numbers you're given are in miles and in hours, your can just fill in the numbers and simplify.

Your numbers are also fractions, so it looks a little scary, but no worries, you can simplify it.

You have 1/2 on top and 1/16 on the bottom. A fraction bar is just a division sign, we're going to divide 1/2 ÷ 1/16 We do this by using the rule:

Keep Change Flip

1/2 Keep

___ Change

1/16 Flip

Keep the 1/2

Change ÷ to *

Flip the 1/16

So it becomes 1/2* 16/1

1/2 * 16 is 8

8 miles per hour is your answer.

If fractions are too terrifying, you could just change 1/2 to .5 and

change 1/16 to .0625

.5 ÷ .0625= 8

Answer: 8mph

Is this correct check please

Answers

Answer:

its most likely CORRECT!

just have confidence that your answers are correct :)

Answer:

yes

Step-by-step explanation:

A,D And E Thats The Answers

Answers

Answer:

wait what? hmmm hmmmmmm

Do you mean to ask a question?

A rectangular hotel room is 4 meters by 7 meters. The owner of the hotel wants to recarpet the room with carpet that costs $71.00 per square meter. How much will it cost to recarpet the room?

Answers

Answer:

is it $120?

Step-by-step explanation:

Answer:

1,988$

Step-by-step explanation:

4x7=28x71

Omar bought N packages of pencils each package had 15 pencils write an equation P to represent the total number of pencils Peque Omar bought.

I need Helppppp!!!!
plizzzz ​

Answers

Answer:

N x 15 = P

Step-by-step explanation:

Find the inverse function. f(x) = Vx - 1+4​

Answers

Answer:

f^-1(v)=v/x-3/x

Step-by-step explanation:

The inverse of the function f(x) = [tex]\sqrt[3]{x-1} + 4[/tex] Is f⁻¹(x) =  (x - 4)³ + 1.

What is a function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

f(x) = [tex]\sqrt[3]{x-1} + 4[/tex]

y =  [tex]\sqrt[3]{x-1} + 4[/tex]

Calculate the inverse of the function as shown below,

Replace x with y,

x = [tex]\sqrt[3]{y-1} + 4[/tex]

x - 4 = [tex]\sqrt[3]{y- 1}[/tex]

Cube both sides,

(x - 4)³ = y - 1

y = (x - 4)³ + 1

Thus, f⁻¹(x) =  (x - 4)³ + 1

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(Look at the picture ) Consider the graph of the function f below.
N0.6
(4.6
6
(3.4)
21 8(2.2)
-6
-8
-4
-2
0
2
4
6
8
What is the value of f (4)?
1
A
B
3
С
6
D
14

Answers

Answer:

yes u picked C thats the correct answer

Step-by-step explanation:

The graph below shows the
relationship between the distance a
car is driven and the number of
gallons of gas used. What is the slope
and what does it represent?

Answers

Answer:

The slope is 30 and it represents the distance the car can travel per gallon of gas used

Step-by-step explanation:

We just need to look at the x=1 and find the y in order to find the slope and here we see that when x=1, then the y=30 so, therefore, the slope is 30

It represents the number of miles the car can drive per gallons of gas used as we can see that we are comparing the gas used with the distance traveled, so therefore it is comparing the distance the car can travel based on the gas used.

Slope = rise/run
Slope = 60 mi/2 gal
Slope = 30 mi/gal

The slope represents the distance a car travels and the gas used.

3-6
5. United States senators serve
year
teims. A senator serving 4 terms
would serve for how many total
years?

Answers

Answer:

16

Step-by-step explanation:

1 term is 4 years; and 4 terms times 4 years is 16 years

Please help with math problem! :)

Answers

Answer:

Step-by-step explanation:

y-8=2x-2

y = 2x + 6

y- intersect = 6

x- intersect = -6/2 = -3

Slope: 2

pls help me with this:((((​

Answers

Answer:

it's A (the first answer)

the second one is also A the height of the plant.

it's completely dependent on the starting size and the number of days.

7+32−42÷2 what is it i need help pleaseee

Answers

Answer:

[tex]7+32-42\div 2 = 39 - 21 = 18[/tex]

Step-by-step explanation:

whats the answer for the question below

Answers

Answer:

I know that

Step-by-step explanation:

the point is (0,2) and the slope is 1/2

What is 2^5+7/8?
I need help

Answers

Answer:263/8

Step-by-step explanation:

2^5=32

32= 256/8 | Convert to fraction form

256/8+7/8= 263/8 | Combine fractions

Answer:

Step-by-step explanation:

2^5=32

32= 256/8 | Convert to fraction form

256/8+7/8= 263/8 | Combine fractions


Order the angles in the triangle above from largest to smallest.
Largest
1.B
2.D
3.С
Smallest

Answers

The order is C, B, then D.

Evan is going to the 50th state fair this weekend, it cost $10 to enter and each ride is $2. Create a linear function that could be used to determine how many "x" rides Evan can go in. What does the variable "y" represent?​

Answers

Answer:

y represents the total amount he spent in x amount of rides+ the $10 fee.

Step-by-step explanation:

At x=0, y=10 because he needs to pay $10 to enter, and he haven't rode on anything yet.

x=1, y=12

x=2, y=14

x=3, y=16

... and so on.

Solve for m.
√m-7 = n + 3

A. m = n 2 + 6n + 16
B. m = n 2 + 6n + 2
C. m = n 2 + 6n - 2

Answers

Answer:

A) m=n^2+6n+16

Step-by-step explanation:

sqrt(m-7)=n+3

m-7=(n+3)^2

m-7=(n+3)(n+3)

m-7=n^2+3n+3n+9

m-7=n^2+6n+9

m=n^2+6n+9+7

m=n^2+6n+16

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