Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the number of times that the die shows and observe the total number of heads. For example, if the die shows three dots facing up and the coin (which is then tossed three times) comes up heads exactly twice, then the outcome of the experiment can be represented as (3, 2).
a. Determine a sample space for this experiment.
b. Determine the event that the total number of heads is even.

Answers

Answer 1

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}


Related Questions

• Work out the percentage change to 2 decimal places when £78.98 is increased to £100​

Answers

Answer:

The total change is £21.02 from the original amount of £78.98. Therefore, the percentage change is directly related to the original amount.

Divide the total change by the original amount to determine the percentage change the new amount represents.

21.02÷78.98=0.15219 which rounds up to two decimal places as 15.22%.

Plz help me! I’m not sure how to do these!

Answers

Answer:

Step-by-step explanation:

Wait where is the picture

Use basic facts and place value to find the quotient.
450 • 9 =
Your answer

Answers

Answer is 50 because if you going divide by 9 and also you can factor it with 5 also.

A recent survey of 1210 people found that out of all respondents, only 579 shop at local farmer's markets.



Express the ratio of people who shop at local farmer's markets to the total as a decimal rounded to the thousandths place. 2 points

Is this a part-to-part or a part-to-whole ratio? 1 point

Only on your paper: Write a sentence about the ratio. (Remember not to use the word "ratio" and to use a percent version, if it is a part-to-whole ratio.)

Answers

579 farmers in One market is quite an extraordinary number but as soon as you take those farmers and put them in a Walmart it will not happen so efficiently

Out of these, which is not an inequality?

a. 435 ≥ 5p + 4

b. g - 7 < 100

c. 18x + 9y

d. a > 6b​

Answers

Answer:

C. 18x+9y

Step-by-step explanation:

Answer:

I think its the third one, C. Hope this helps!

Which of the following lines goes through the point (0,4) and is parallel to y = 5 x - 3?
M
O =
y = 5 x + 4
W
y= 5 x-7
y = -5 X-3​

Answers

Correct Answer: y=5x+4 it is parallel to y=5x-3 and it goes through point (0,4)

y=5x-7 is also parallel to y=5x-3 although it doesn’t go through point (0,4)

y=-5x-3 is obviously not parallel to y=5x-3 because it intersects to it

Heyy can someone help me ¿? ;-; is for today ;-;


Zuleima puts her pebbles on the table. Make groups of 3 and have 1 left. Then make groups of 5 and have 2 left. How many stones does Zuleima have?

Answers

Step-by-step explanation:

she has 3 because she make group of five n have one and then make a group of five and had two, so add two plus one it will give u three

a bacteria culture doubles every 3 minutes. if 400 bacteria started, how long will it take before there are 2000 in the culture?

Answers

Answer:

15 minutes

Step-by-step explanation:

400 to 2000(x5)

so, 3 times 5 is equal to 15 min

15 minutes to get to 2000

Wilma can walk 4 miles in 30 minutes. How many miles can she walk in 3 hours?

Answers

she can walk 24 miles in 3 hours

Answer:

24 miles

Step-by-step explanation:

3 hours = 180 minutes

[tex]\frac{4}{y}: \frac{30}{180}[/tex]

y × 30 = 4 × 180

30y = 720

30y ÷ 30 = 720 ÷ 30

y = 24

What is the leading coefficient of the polynomial F(x) defined below?

Answers

Answer: 2

Step-by-step explanation:

The leading coefficient is just the value before the variable with the highest power. So first we must find the portion in your polynomial that has the highest degree. The highest degree simply means the variable with the highest power. The highest power is two, so we will look at the coefficient of that portion. The coefficient of 2x^2 is 2 .

help me me me me pls

Answers

Answer:

"C" is the answer to that question

Answer:

C

Explanation:

Because I say so

raiz cuadrada de -200​

Answers

.........Es 14,1421356 i

2squared minus 4squared plus 1 plus 7 squared can you find the answer​

Answers

2²-4²+1+7²

we should solve the numbers with exponents :

4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38

pls give me brainliest

By stips please ........

Answers

Answer:

6x + 3h

Step-by-step explanation:

F(X) = 3x^2

F(X+h) = 3(X+h)^2

then F(X+h) - F(X) / h

= 3(X+h)^2 - 3x^2 / h

= 3(x^2 + 2hx + h^2) - 3x^2 / h

= 3x^2 + 6hx +3h^2 - 3x^2 / h

= 6hx + 3h^2 / h

= h (6x +3h) / h

= 6x + 3h

I hope this answer is correct

MARKING BRAINLIEST
Which sentence is an example of an objective summary from Cynthia Crossen's "A Culinary Wasteland"?

A. Furthermore, Mr. Schlosser's appraisal is not comprehensive but a hodgepodge of impressions, statistics, anecdotes and prejudices.

B. As a stickler about statistics, I was disturbed by Mr. Schlosser's cavalier manipulation of data, which produced some startling — and, frankly, unbelievable — "facts."

C. Americans are addicted to cheap, bad food, he argues, and like all addictions, this one exacts broad and often unseen costs from the community.

D. Taking individual responsibility for one's impact on the global economy is far more complicated than just saying no to fast food, as Mr. Schlosser advises.

Answers

It should be C please mark brainiest

Which is the graph of x - y = 1?
Ty
Ty
5
4
4
3
3
3
2
+
2
1
-5-4-3-2-1
6
4
tar
X
-1
1 2 3
1 2 3 4 5
5 -5-4-3-2-1,
22
2
3
2
3
4
3
4
15
4
3
Save and Exit
Next
Submit
Mark this and return

Answers

Answer:

Step-by-step explanation:

The graph of x - y = 1 is plotted below

Plotting linear graphs

The given equation is:

x - y = 1

The equation can be rewritten as:

y = x - 1

This is of the form y = mx + 1

where m is the slope

c is the y-intercept

Compare the equation y = mx + 1 with y = x - 1

The slope, m = 1

The y-intercept, c = -1

The graph of the equation y = x - 1 is plotted below

Learn more on graphs of linear equations here: https://brainly.com/question/14323743

Work out the circumference of this circle with radius 7.5cm
Take pi to be 3.142​

Answers

Answer in terms of pi: 15pi cm
Explanation:
C = 2 x pi x r
C = 2 x pi x 7.5
C = 15 pi

Answer: 47.12cm (rounded to 2dp)
Explanation:
C = 2 x pi x r
C = 2 x pi x 7.5
C = 15 pi
C = 47.1238898
C = 47.12 (2 dp)

Answer:

15pi cm or 47.12

Step-by-step explanation:

Radius= 7.5cm

7.5 x 2 = 15

diameter= 15cm

circumference = pi x diameter

circumference= pi x 15

=15pi cm or 47.12

simplify 12/18 into an equivalent fraction​

Answers

Answer:

2/3

Step-by-step explanation:

12/18 both numerator and denominator divide by 6
= 2/3

Find the volume of the cylinder and cone, then add them together.

Answers

Solution :

Volume of cylinder :-

V = πr²h

Here,

r is radius h is height

We have :

r = 2cm h = 7cm

Substituting the values :

> V = π (2 × 2) × 7

> V = 4π × 7

> V = 28π

Volume of cone :-

V = ⅓ π²h

We have :

r = 2cm h = 6 cm

Substituting the values :

> V = ⅓ × π × (2 × 2) × 6

> V = ⅓ × π × 4 × 6

> V = ⅓ × π × 24

> V = 8π

According to the question :-

Adding them together,

> Total Volume = 8π + 28π

> Total Volume = 36π

[tex]Total \: \: \: Volume = (88+176) {cm}^{2} \\ \\ = 264 {cm}^{2} .[/tex]

a 4kg ham cost $13/kg. Find the cost per pound . Round to the nearest hundred​

Answers

Answer:

The cost per pound of the ham is $5.89.

Step-by-step explanation:

Given that a 4kg ham cost $13/kg, in order to find the cost per pound the following calculation has to be made:

1 kg = 2.20462 pounds

2.20462 = 13

1 = X

((1 x 13) / 2.20462) = X

13 / 2.20462 = X

5.89 = X

Therefore, the cost per pound of the ham is $5.89.

please help me! i’ll mark you as brainlist !

Answers

Answer:

6. No, they are not similar. The differences in the side angles are not the same for RS and MP. That relationship equals 1.3, but the other side lengths' relationships are equal to 1.25. Thus, due to the fact that the side lengths are not all equal to the same value, the triangles are not similar.

7. No, they are not similar. The angles are not the same for the two triangles. I know this due to how 48+77 is equal to 125. 180-125 is not equal to 66. Similarly, 48+66 is equal to 114, and 180-114 is not equal to 77.

Step-by-step explanation:

Find the slope of the line for the angle.
330 degrees

Answers

m= -1/3
How this helped!


Learning Task 3: In your answer sheet, write the letter of the correct answe
1. Which is a polynomial function?
Plx) = 2x3 + 32 - 4x + 4
c. c. G(x) = 2x-3 +5
B. H2) = 4x1/2 - 3x 4
D. F lrl = 2x3-5x + 3
3x2​

Answers

Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]

where n is positive integer and n[tex]\neq[/tex] 0

a.)

P(x) = 2x³ + 32 - 4x + 4c

It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴

It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.

c.)

G(x) = 2[tex]x^{-3}[/tex] + 5

It is not a polynomial function because -5 is not a positive integer.

d.)

F(x) = 2x³ - 5x + 33x²

It is a polynomial function.

The standard form of a polynomial is expressed as;

[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]

The leading power of a polynomial must be greater than 2 and must be a positive integer.

a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

b) For the function [tex]G(x)=2x^{-3}+5[/tex]

This is not a polynomial because the leading degree of the polynomial is a negative integer

c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]

This is not a polynomial because the leading degree of the polynomial is a fraction.

d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

Learn more here: https://brainly.com/question/16467846

i need help with finding slopes from graphs

Answers

Y=2+-4x

Step-by-step explanation:

Hope ot helps

ABCD∼EFGH
The value of x is

Answers

Answer

didn't know there was an image

What is x? I’ll make you the brainliest

Answers

Answer:

48

Step-by-step explanation:

If EG=8, OE=4

x/12=4

x=4(12)

x=48

What is not equal to 120 centimeters

Answers

Answer:

120mm

Step-by-step explanation:

Thank u....

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

0.012 dekameters is not equal to 120 centimeters

The price of a shirt has been discounted by $20. The sale price is $24.95. What percent of the original list price is the discount?
(a) Use the verbal description to write a verbal model.
o change in price = (original price)/(percent)
o change in price = (percent)(original price)
O change in price = (percent) - (original price)
o change in price = (original price) + (percent)
O change in price = (percent)/(original price)
(b) Assign labels to the quantities in the verbal model.
--Select-
= 20
---Select-
---Select-
= 44.95
(C) Use the labels to write a mathematical model.
(d) Solve the problem. (Round your answer to the nearest whole number.)
%

Answers

Answer:

this is an example

Step-by-step explanation:

There are a few different ways to approach this problem, including the following two methods.

 

1) Find 20% of the original price, then subtract that amount from the original price. 

    To find a percentage of a number, you multiply the number by the percentage.  (You are finding a part of a whole.)

    

                   20% = 20/100 = 1/5    or   20% = 0.20

 

    Original Price: $24   Find 20% of $24.                         (Note: "of" is taking part of a whole, so you multiply.)

                

                    0.20 x 24 = 4.80            This is the mark down, or the amount you subtract from original price.

   

    Sale Price = Original Price - Mark Down   

                   =   24.00 - 4.80

                   =   19.20

 

2) If you save 20%, you are still paying 80%. (100-20 = 80) Therefore the sale price is 80% of the original price.

 

                    80% = 80/100 = 4/5     or    80% = 0.80

 

     Sale Price = 80% of Original Price

                    = 0.80 x 24

                    = 19.20

 

PLEASE HELP IM BEGGING
This is due and I have no idea what the answer is also I need the work shown

Answers

Answer:

Options (A), (C) and (E)

Step-by-step explanation:

System of inequalities has ben given as,

y ≥ 0.75x

y ≤ 2x - 7

By satisfying with the points given in the options,

Option A. (8, 8)

y ≥ 0.75x

8 ≥ 0.75(8)

8 ≥ 6

True

y ≤ 2x - 7

8 ≤ 2(8) - 7

8 ≤ 9

True.

Therefore, (8, 8) is the solution of the given system.

Option (B) (2, 2)

y ≥ 0.75x

2 ≥ 0.75(2)

2 ≥ 1.5

True

y ≤ 2x - 7

2 ≤ 2(2) - 7

2 ≤ -3

False

Therefore, Option B is not the solution.

Option C (9, 7)

y ≥ 0.75x

7 ≥ 0.75(9)

7 ≥ 6.75

True

y ≤ 2(x) - 7

7 ≤ 2(9) - 7

7 ≤ 11

True

Therefore, Option B is the solution of the system of inequalities given.

Option D (4, 6)

y ≥ 0.75x

6 ≥ 0.75(4)

6 ≥ 3

True

y ≤ 2x - 7

6 ≤ 2(4) - 7

6 ≤ 1

False

Therefore, Option (D) is not the solution.

Option E (10, 9)

y ≥ 0.75x

9 ≥ 0.75(10)

9 ≥ 7.5

True.

y ≤ 2x - 7

9 ≤ 2(10) - 7

9 ≤ 13

True

Therefore, Option E is the solution of the given system of inequalities.

Options (A), (C) and (E) are the correct options.

x + 7 = 9
What does X equal?

Answers

2 i hope this helps ok bye
X = 2 because if you subtract 7 from 9 it would equal 2
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