Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each die lands on each of its faces equally often. We consider the outcomes of this experiment to be the ordered pairs of numbers on the dice, and the events of interest to be the different sums. (a) How many outcomes does this experiment have

Answers

Answer 1

Answer:

36

Step-by-step explanation:

Given that:

2 standard six sided dice are rolled :

Die 1 = 1, 2, 3, 4, 5, 6

Die 2 = 1, 2, 3, 4, 5, 6

Outcome = ordered pair of Number on the two dice

Event = different sum of the ordered pair of numbers.

The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies

= 6^2

= 36 different outcomes


Related Questions

Solve y=3x-4 and y=2/5x+ 9
using systems of linear eqautions​

Answers

Answer:

(5 , 11)

Step-by-step explanation:

[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]

There are three ways to solve the systems of linear equations

1) Elimination method - where we add/subtract the equations to eliminate the variable

2) Substitution method - where we substitute one variable in the form of another variable

3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution

We use the second method the Substitution method which is the easiest in my opinion.

Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:

[tex]3x-4=\frac{2}{5}x+9[/tex]

as you can see here we eliminated the variable y by substituting y in terms of x.

Now we just solve the equation algebraically

[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]

The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1

[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]

so the solution of the system of linear equations is (5 , 11)

Jada has 12 library books checked out and Han has 1/4 less than that. How many books does
Han have checked out?

Answers

one fourth of 12 is 3 so,
12-3=9
han has 9 books checked out

How do you write a graph that passes through the point (5, -1) and has a slope of 2 in Slope Intercept Form?

Answers

Format: y = mx + b
y = 2x + b
Plug in the point
-1 = 2(5) + b
-1 = 10 + b, b = -11
Answer: y = 2x - 11

Answer:

y=2x-11

Step-by-step explanation:

-1=2(5)+b

-1=10+b

-11=b

Find the value of X. I can't figure out what to do when one is at a right angle.

Answers

Answer:

x = 20

Step-by-step explanation:

Two lines are parallel. So, alternate interior angles are congruent.

x +8 + 6x - 58 = 90

7x - 50 = 90

        7x = 90 +50

       7x = 140

         x = 140/7

x = 20

Choose the right answer.
A box and whiskers chart dlvides a data set Into
equal parts called quartiles.
2
4
3

Answers

A box and whiskers chart divides the data set into 4 equal parts called quartiles. (second option)

What is a box and whiskers chart?

A box and whiskers chart is used to study the distribution and level of a set of scores. The values are distributed into 4 groups. Each group has a value of 25%

The whiskers represent the minimum and the maximum values. On the box, the first line to the left represents the lower quartile. 25% of the score represents the lower quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the upper quartile. 75% of the scores represents the upper quartile.

To learn more about box plots,. please check: https://brainly.com/question/27215146

#SPJ1

A recent Gallop poll showed that 672 of 1019 adults nationwide think that marijuana should be legalized. a) Find the margin of error that corresponds to a 95% confidence interval.

Answers

Answer:

the margin of error is 0.029

Step-by-step explanation:

The computation of the margin of error is as follows;

Point estimate = sample proportion

[tex]= \hat p[/tex] = x ÷  n = 672 ÷ 1019 = 0.659

Now

= 1 - [tex]\hat p[/tex]

= 1 - 0.659

= 0.341

[tex]Z\alpha/2[/tex] = Z_0.025 = 1.96

Now

a) Margin of error = E is

[tex]= Z\alpha / 2 \times \frac{((\hat p \times (1 - \hat p ))}{(\sqrt / n)} \\\\= 1.96 (\sqrt \frac{ (0.659 \times 0.341)}{(1019)} \\\\= 0.029[/tex]

Hence, the margin of error is 0.029

Question 10 of 10
Which would not be a step in solving 5x + 15 + 2x = 24 + 4X?
A. Collect variable terms on one side.
OB. Isolate the variable.
C. Use the distributive property.
Ο Ο
D. Collect like terms.
SUBMIT

Answers

Answer:

first you correct like terns

A collet variable terms in one side

In which equation is the decimal point in the correct place in the quotient? Select all that are correct. A. 25.662 ÷ 4.7 = 54.6 B. 12.48 ÷ 6.4 = 1.95 C. 121.35 ÷ 2.05 = 59.195121 D. 55.204 ÷ 88.8 = 0.6216666 E. 0.95 ÷ 0.05 = 0.19

Answers

Answer:

B

Step-by-step explanation:

PLEASE HELP it’s MULTIPLE CHOICE i’ll mark BRAINLIEST AND I ADDED EXTRA POINTS!!

Answers

Answer:

Easy b

Step-by-step explanation:

Because

its the last one
slope is 1/3
y-intercept is -1

This month nathon used 3 gallons of milk on his ceral each time he eats ceral he uses 1 /12 gallon of milk how many bowls of creal did he eat this month?

Answers

Answer:

36 bowls of cereal.

Step-by-step explanation:

just multiply 12 by 3

Answer:

WHY BRO EAT SO MUCH CEREAL IM DEAAAAAADDD

Step-by-step explanation:

nkjenkjfaekjvbsajkbvjks kjan

A(-6,-2) B(-4,4) C(8,1) D(6,-6)

Answers

What is the question you only put the number?

Number 12 help please it’s a short answer

Answers

Answer:

Reactants: aluminum and copper chloride.

Products: copper and aluminum chloride.

Step-by-step explanation:

Let's consider the following equation.

aluminum + copper chloride ⇒ copper + aluminum chloride

Using chemical symbols, this would be:

2 Al + 3 CuCl₂ ⇒ 3 Cu + 2 AlCl₃

The substances to the left of the arrow are the reactants: aluminum and copper chloride.

The substances to the right of the arrow are the products: copper and aluminum chloride.

If y = 14 when x = 5,
find x when y = 28.

Answers

Answer:

10

Step-by-step explanation:

if its originally y=14 and x=5, if u switch y to 28 it would be 2x as much as 14 so u would multiply 5x2 aswell. hope i helped!!

HELP ME ASAP PLEASEEEE

Answers

Answer:

she makes 22 cookies batches

Step-by-step explanation:

22*3=7 2/3

7 2/3 / 3 = 22

Belle's dad lends her $10. Then Belle borrows another $15 from him. Write and evaluate an expression that shows the change in the amount of money Belle's dad has.

Answers

The expression that shows the change in the amount of money Belle's dad has is (x - 25) and this can be determined by forming the linear equation in one variable.

Given :

Belle's dad lends her $10. Then Belle borrows another $15 from him.

The following steps can be used to determine the expression that shows the change in the amount of money Belle's dad has:

Step 1 - Let the total amount of money Belle's dad have be 'x'.

Step 2 - Then it is given that Belle's dad lends her $10. So the expression becomes:

= x - 10b

Step 3 - Now, it is also given that Belle borrows another $15 from her dad. So, the above expression becomes:

= x - 10 - 15

Step 4 - Simplify the above expression.

= x - 25

So, the expression that shows the change in the amount of money Belle's dad has is (x - 25).

For more information, refer to the link given below:

https://brainly.com/question/13101306

What is the solution to 2x-8 <12​

Answers

Step-by-step explanation:

2x-8<12

+8<+8

2x<20

[tex] \frac{2x}{2} \frac{20}{2} [/tex]

x<10

The solution of -2(x + 1) = 2(x – 1)

Answers

Answer:

Step-by-step explanation:

lets eliminate the parenthesis,

-2x-2=2x-2

-4x=0

x=0

Can we say there is a 95% probability that the interval [50.53,55.53][50.53,55.53] contains the true percentage of the population that votes for Imm Thai as the best Berkeley Thai restaurant

Answers

Answer:

The answer is"statement is true".

Step-by-step explanation:

Yeah, they may claim that it is possible, that 95% of the population would vote for Imm Thai as the best Barkeley Thai restaurant as well as the probability that such an interval will include the proportion of the trust interval of Imm Thai outside is 5% which would be \alpha 5%

PLZ HELP ME ILL GIVE BRAINLIEST, ITS ON THIS LINK https://brainly.com/question/19931314

Answers

Answer:

hm okay

Step-by-step explanation:

Ravi purchased 3 DVDs for $19.99 each. Find the total cost for the DVDs including 5% GST and 6% PST.

Answers

Answer:

$66.57

Step-by-step explanation:

Cost of one DVD = $19.99

Cost of 3 DVDs = $19.99*3 =$59.97

Rate of GST = 5%

Amount of GST

= 5%* $59.97

= 0.05*59.97

= $2.9985

Rate of PST = 6%

Amount of PST

= 6%* $59.97

= 0.06*59.97

= $3.5982

Total cost of DVDs

= $59.97 + $2.9985 + $3.5982

= $66.5667

= $66.57

Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.

Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour.



e) After one hour, how far apart will they be?

Answers

Answer:

17.6 miles

Step-by-step explanation:

speed = distance/time

distance = speed * time

We multiply the speed of each one by the time, 1 hour, to find the distance each one walked in 1 hour.

Kiran: 3 mph * 1 h = 3 miles

Clare: 3.4 mph * 1 h = 3.4 miles

The total distance they walked is 3 miles + 3.4 miles = 6.4 miles.

After 1 hour, they are 6.4 miles closer than they were at the beginning of the walk.

24 miles - 6.4 miles = 17.6 miles

Answer: 17.6 miles

What is the Constant of proportionality between 3 and 18.85

Answers

Answer:2.25

Step-by-step explanation:it just is

Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])

Answers

Step-by-step explanation:

Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])

Given

first term a1 = -2

second term a2 = 2

We are to get the first 8 terms. Given the sequence

a[n]=a[n-2](3-a[n-1])

a[3]=a[3-2](3-a[3-1])

a[3]=a[1](3-a[2])

a[3]=-2(3-2)

a3 = -2

a[n]=a[n-2](3-a[n-1])

a[4]=a[4-2](3-a[4-1])

a[4]=a[2](3-a[3])

a[4]=2(3+2)

a4= 10

a[5]=a[n-2](3-a[n-1])

a[5]=a[5-2](3-a[5-1])

a[5]=a[3](3-a[4])

a[5]=-3(3-10)

a5 = -3(-7)

a5 = 21

a[6]=a[n-2](3-a[n-1])

a[6]=a[6-2](3-a[6-1])

a[6]=a[4](3-a[5])

a[6]= 10(3-21)

a6 = 10(-18)

a6 = -180

a[n]=a[n-2](3-a[n-1])

a[7]=a[7-2](3-a[7-1])

a[7]=a[5](3-a[6])

a[7]= 21(3+180)

a7 = 21(183)

a7 = 3,843

a[8]=a[n-2](3-a[n-1])

a[8]=a[8-2](3-a[8-1])

a[8]=a[6](3-a[7])

a[8]=-180(3-3843)

a8 = -180(-3840)

a8 = 691,200

List the first 5 multiples of 15. *
0, 1, 3, 5, 15
5, 10, 15, 20, 25
10, 15, 30, 45, 60
15, 30, 45, 60, 75

Answers

Answer:

15, 30, 45, 60, and 75

Step-by-step explanation:

15x1

15x2

15x3

15x4

15x5

I hope this helps you

Please help answer the first 3 boxes for brainslt

> for brainslt

Answers

y=mx+b

1st one:

m=-3 b=-2

Not sure for proportional

Negative Slope

2nd one:

m=15 b=0

Proportional

Positive Slope

3rd one:

m=-4/3 b=8

Not sure proportional or not

Negative Slope

Answer:

Work shown below!

Step-by-step explanation:

y = -3x - 2

m = -3

b = -2

Non-proportional because it doesn't pass through the origin

Negative Slope

y = 15x

m = 15

b = 0

Proportional because it passes through the origin

Positive Slope

y = -4/3x + 8

m = -4/3

b = 8

Non-proportional because it doesn't pass through the origin

Negative Slope

have a good holiday guys

Answers

Answer:

Well thank you so much you too

Step-by-step explanation:

Answer:

u too homie!

Step-by-step explanation:

i want free points

Help me please please

Answers

Answer:

2.94

Step-by-step explanation:

the clue is in the question, just times the numbers together

Craig works at a restaurant for 21 hours in January. at this rate, how many hours will he work after 7.5 months?

Answers

Answer:

around 4725

Step-by-step explanation:

Answer:

157.5 hours

Step-by-step explanation:

If Craig continued to work 21 hours for 7.5 months he would work a total of 157.5 hours.

Why?

Because if you multiply 21 seven times you get a total of 147 hours, but we still have the .5 of the month so take 21 and divide it by 2 which gives us 10.5 hours.

When you have both you outcomes ready you add 147 and 10.5 hours

Which gives us 147+10.5=157.5 hours.

Good luck :)

The elements least likely to form bonds are found in which group? 15, 16, 17, 18

Answers

Answer:

group 18

Step-by-step explanation:

Answer:

Answer. 18

Step-by-step explanation:

took test

Helpppppppppppppppppppppppppppppppppppppp ASAP

Answers

Answer:

is it not the plus sign? (+)

Step-by-step explanation:

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