Consider the sample space given below.

A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.


S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}

Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.

Answers

Answer 1

Answer:

1 / 6

Step-by-step explanation:

Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.

The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.

The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.

n(S) = 36

Let E be an event that the numbers showing face up are the same.

E = {11, 22, 33, 44, 55, 66}, n(E) = 6

The probability of E = P(E) = number event / number of possible outcomes =

P(E) = n(E) / n(S) = 6 / 36 = 1 / 6


Related Questions

Find the mid segment of GH

Answers

Answer:

B. 2

Step-by-step explanation:

Based on the Midsegment of a trapezoid theorem:

GH = (BC + FE)/2

9x - 3 = (19 + (5x + 1))/2) (substitution)

9x - 3 = (20 + 5x)/2

Cross multiply

2(9x - 3) = 20 + 5x

18x - 6 = 20 + 5x

Collect like terms

18x - 5x = 20 + 6

13x = 26

Divide both sides by 13

x = 26/13

x = 2

Charlin got 20 questions correct on her exam and scored a 80%. How many (total) questions were on the exam

Answers

The answer would be 25

write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.​

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.

When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.

So far, the equation is y = 4x + b.

Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.

This would be:

-5 = 4 * -2 + b

-5 = -8 + b

3 = b

This means the equation is y = 4x + 3.

Help how do I solve this and what is the answer. Explain plz

Answers

The answer is in the picture below I hope this helps

Five units to the right of -6

Answers

Answer: -1

Step-by-step explanation:

What is the area of the triangle?
2
2
units2

Answers

Answer:

2

Step-by-step explanation:

you just multiply

which of the following is equivalent to 3(5+2i)-2(3-6i)^2

Answers

Umm im not sure maby like 1+1 or sum

Answer:

can u show me which following?

Step-by-step explanation:

show like (a, (b or something like that because it says *following and i think that it should have something like that ;-;

A store owner spends 7x + 13 dollars on two orders of boxes of light bulbs, including shipping.

Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second-order?
10x + 18
4x + 8
21x + 65
10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars? Enter the number in the box.

Answers

Answer:

[tex]B = 4x + 8[/tex]

A box = $11

Step-by-step explanation:

Given

[tex]Total = 7x + 13[/tex]

Represent the first order with A and the second with B.

So, we have:

[tex]A = 3x + 5[/tex]

Solving (a): Find B.

To find B, we make use of:

[tex]A + B = Total[/tex]

Make B the subject

[tex]B = Total - A[/tex]

Substitute values for Total and A

[tex]B = 7x + 13 - (3x + 5)[/tex]

Open bracket

[tex]B = 7x + 13 - 3x - 5[/tex]

Collect Like Terms

[tex]B = 7x - 3x + 13 - 5[/tex]

[tex]B = 4x + 8[/tex]

Solving (b): Cost of a box of light bulb

This means that:

[tex]Total = 90[/tex]

Substitute 7x + 13 for Total

[tex]7x + 13 = 90[/tex]

Collect Like Terms

[tex]7x = 90 - 13[/tex]

[tex]7x = 77[/tex]

Make x the subject

[tex]x = \frac{77}{7}[/tex]

[tex]x = 11[/tex]

YOU HAD YOUR WORD TASTUMI YOU HAD YOUR WORD!2

Answers

Answer:

yes :(

Step-by-step explanation:

3(9+c+b) if c=13 and b=4

Answers

Answer:

78

Step-by-step explanation:

Hope this helped. Pls mark brainliest

Answer:

78

Step-by-step explanation:

3(9+13+4)

9+13+4 = 26

3(26) = 78

What is the completely factored form of this polynomial?
81x4 − 16y4

Answers

Answer:

( 9 x^ 2 + 4 y ^2 ) ( 3 x + 2 y ) ( 3 x − 2 y )

The completely factored form of the polynomial 81x^4 - 16y^4 is:

(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)

Determining the completely factored form

Apply the difference of squares formula:

(9x^2)^2 - (4y^2)^2

Factor the difference of squares:

(9x^2 + 4y^2)(9x^2 - 4y^2)

Apply the difference of squares formula again:

(3x)^2 + (2y)^2

(3x)^2 - (2y)^2

Factor the difference of squares:

(3x + 2y)(3x - 2y)

Putting it all together, the completely factored form of the polynomial 81x^4 - 16y^4 is:

(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)

Learn more on polynomials here https://brainly.com/question/4142886

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Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the following is most likely to be the population of interest?
Choose the correct answer below
A 4 sea urchins with abnormal coloration
B. All of the sea urchins near the plant
C. All of the sea urchins in the entire ocean
D. 20 sea urchins gathered from tidal pools

Answers

Answer:

its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest

The population of interest will most likely be option B. all of the sea urchins near the plant.

The term 'population of interest' refers to the group or number from which inference is made or done for research purposes. And from this group, the researcher will try to draw conclusions from his/her study.

A population of interest is generally taken for studies or statistical references.In the given scenario, the biologists found that the nearby factory is directly affecting the health of the local urchins.And in conducting the research, the population of sea urchins near the plant will be taken or regarded as the population of interest.

For the marine biologists to determine the extent of the factory's effect on the sea urchins, they would consider or take the sea urchins near the factory population as the population of interest. Thus, the correct answer is option B.

Learn more about population of interest here:

brainly.com/question/16976252

This question is geometry

Answers

Answer:

Its 138

Step-by-step explanation:

LOL

Slope of -1 through point (3,-1)

Answers

Answer:

Step-by-step explanation:

Y axis of y

(1, 1), (–1,5)
find slope

Answers

Answer:

slope = 0

MARK ME AS A BRAINLIST AND FOLLOW ME

2
If f(x) = -2x2- x, what is f(2) and f(3)?

Answers


If f(x) = -2x^2 - x, what is f(2) and f(3)?

f(2) = -2x^2 - x
= -2(2)^2 - 2
= -4^2 - 2
= 16 - 2
f(2) = 14

f(3) = -2x^2 - 2
= -2(3)^2 - 2
= -6^2 - 2
= 36 - 2
f(3) = 34

Madison makes 4 types of hair ribbons. She makes 3 of each type of ribbon. How
many hair ribbons does Madison make?
A 12
B. 10
C. 9
D. 7

Answers

Answer:

D. 7

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

4 + 5 x (10 divided by 9 ) 4 = ?

Answers

Answer:

40

Step-by-step explanation:

4+5=9

9x(10/9)=10

10x4=40

Will mark brainliest!!!
Solve for x

Answers

Answer:

2

Step-by-step explanation:

2 pretty suree hope this helps

6x - 9x - 5 + 8 + 7x

Show your work.

Answers

Answer:

6x−9x−5+8+7x

=6x+−9x+−5+8+7x

Combine Like Terms:

=6x+−9x+−5+8+7x

=(6x+−9x+7x)+(−5+8)

=4x+3

Answer:

=4x+3

Step-by-step explanation:

I hope this helps

Answer:

=4x + 3

Step-by-step explanation:

Add the numbers

6

Which quadrant is (-3,7) in?

A: 1 or |
B: 2 or ||
C: 3 or ||
D: 4 or IV

Answers

The Answer Is 1 (3,7) if you graph it, it’s in the first quadrant which is the first answer A

We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate

of 5 units per minute.

Find the rate of change of the side angle teta when x=2.

Answers

Answer:

[tex]\frac{5\sqrt{3} }{6}[/tex]

Step-by-step explanation:

Given :

base length = 2

side lengths = x

dx/dt = 5 unit/min

Determine d∅ / dt  at x = 2

d∅ / dt  at x = 2  = [tex]\frac{5\sqrt{3} }{6}[/tex]

attached below is a detailed solution

the graph shows the voltage in a circuit changing as temperature increases from 100° to 600°. which is the best estimate for the rate of change of the voltage over the interval?

1.5 volts
3 5 volts
5.5 volts
7.5 volts​

Answers

Answer:

3.5?

Step-by-step explanation:

The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.

What is the average rate change of a function?

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The graph shows the voltage in a circuit changing as temperature increases from 100° to 600°.

We know that v = 1750 at t = 600° and v = 0 at t = 100°. Then the Average rate of change is given as,

Average rate = (1750 - 0) / (600 - 100)

Average rate = 1750 / 500

Average rate = 3.5

The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.

More about the average rate change of a function link is given below.

https://brainly.com/question/23715190

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over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence that represents this situation.

the temperature decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature increased by 0.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature increased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature decreased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

Answers

Answer:

D

Step-by-step explanation:

-2.25 x 3 = 6.75

the temperature decreased by 6.75 after 3 hours

Answer:

The temperature decreased by 6.75 degrees Fahrenheit.

Step-by-step explanation:

This is answer choice D because the Start of Temperature is:

70F

Start Time: 9AM

(70,9) --> (67.75,10) --> (67.50,11) --> (67.25, 12)

Compute 292, 000 divide 100.

Answers

Fitgghhhhhhhhhhhjjjjjj

A store offers some customers a coupon and then counts how many customers return to the store to shop again. The two-way table shows the results of this experiment. Offered coupon Not offered coupon Returned to store 85 60 Did not return to store 25 38 Select a word or phrase from the drop-down menus to correctly complete the statements describing the association. More customers who returned to the store were Choose... . More customers who did not return to the store were Choose... . There Choose... appear to be an association between whether a customer received a coupon and the customer’s tendency to return to the store to shop again.

Answers

Answer:

More customers who returned to the store were "Offered a Coupon"

More customers who did not return to the store were "not offered a coupon"

There "does" appear to be an association between whether a customer received a coupon and the customer’s tendency to return to the store to shop again.

Hope this helps buddy!

Step-by-step explanation:

Answer:

1.offered coupon

2.not offered a coupon

3. does

Write the equation of the line in fully simplified slope-intercept form.
y
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10-9-8-7-6 -5 -4 -3 -2 21
1 2 3 4 5 6 7 8 9 10 11 12
-3
-4
-5
-6
-7
-10
-11

Answers

Answer:

y = ⁴/3x - 7

Step-by-step explanation:

✔️First, find the slope (m):

Slope (m) = ∆y/∆x = 4/3

m = ⁴/3

✔️Determine the y-intercept (b):

The y-axis is intercepted by the line at y = -7, therefore the y-intercept (b) would be -7.

b = -7

✔️Write the equation:

Substitute the value of m = ⁴/3 and b = -7 into y = mx + b (slope-intercept form equation).

y = ⁴/3x + (-7)

y = ⁴/3x - 7

What’s the anwser for this. I’m so confused

Answers

Answer:

Its A

Step-by-step explanation:

Plz guys can you guys help me

Answers

Answer:

answer B is correct of this question

Answer:I believe the answer is C my dude

Step-by-step explanation:

Hiiiii wassup I need helppppp T-T

What do the words “some number less” mean?

Answers

Answer: a # less i beleavie...

adjective. innumerable; countless; myriad. without anumber

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