Suppose that two fair dice are rolled. Find the probability that the number on the first die is a 6 or the number on the second die is a 4.

Answers

Answer 1

Answer:

[tex]Probability = \frac{1}{36}[/tex]

Step-by-step explanation:

Given

Two fair dice

Required

Determine the probability that the outcomes is 6 on the first and 4 on the second

First, we need to write out the sample space of both:

[tex]S_1 = \{1,2,3,4,5,6\}[/tex]

[tex]n(S_1) = 6[/tex]

[tex]S_2 = \{1,2,3,4,5,6\}[/tex]

[tex]n(S_2) = 6[/tex]

Where S1 represents the first and S2, the second

The probability of outcome of 6 on the first is:

[tex]P(6) = \frac{n(6)}{n(S_1)}[/tex]

[tex]P(6) = \frac{1}{6}[/tex]

The probability of outcome of 4 on the second is:

[tex]P(4) = \frac{n(4)}{n(S_2)}[/tex]

[tex]P(4) = \frac{1}{6}[/tex]

So, the required probability is then calculated as:

[tex]Probability = P(6) * P(4)[/tex]

[tex]Probability = \frac{1}{6} *\frac{1}{6}[/tex]

[tex]Probability = \frac{1}{36}[/tex]


Related Questions

1.Tu familia compro un paquete de galletas, al abrirlas se comieron la mitad de ellas, entre tu papá, mamá, hermano mayor, hermana menor y tú, comiendo la misma cantidad de galletas; después llego tu tía y primo y ellos se comieron la mitad de lo que quedaba, donde tu primo se comió 10 galletas más que tu tía; luego llego tu tío y se comió la mitad del resto y finalmente, tú tomas de galletas de lo que queda, sobrando 30 galletas.
1. Cuantas galletas había en el paquete
Cuántas galletas se comió tu
1. mamá
2. papá
3. hermano mayor
4. hermano menor
5. tía
6. primo
7. ¿Cuántas galletas comiste tú?
8. Quién comió más galletas?

Answers

Answer:

Para determinar cuantas galletas comió cada integrante de la familia, se debe realizar la siguiente ecuación:

P + M + HMA + HME + YO = 1/2 X

(PR+10) + TIA = 1/4 X

TIO = 1/8 X

Sobran 30 galletas, es decir, 1/8 X

Punto 1)

Si 1/8 X es igual a 30, en el paquete había 240 galletas (30 x 8).

Punto 2)

1- Mamá comió 24 galletas (30 x 4 / 5)

2- Papá comió 24 galletas (30 x 4 / 5)

3- Hermano mayor comió 24 galletas (30 x 4 / 5)

4- Hermano menor comió 24 galletas (30 x 4 / 5)

5- Tía comió 25 galletas ((30 x 2 - 10) / 2)

6- Primo comió 35 galletas ((30 x 2 + 10) / 2)

7- Yo comí 24 galletas (30 x 5 / 5)

8- Quien comió mas galletas fue primo, que comió 35 galletas.

Hailey bought a 9 ft piece of ribbon that she will cut into 2/3 ft long pieces. How many 2/3 ft pieces can Hailey cut?
13 1/2
14
20
1
EPIC

Answers

Answer:

13.5

Step-by-step explanation:

9Ft / (2/3) ft = 13.5

#4: Solve the equation below. 1/2+1/5x = 3/10x+4/5

Answers

Answer:

I hope this helps you all.

How many miles would Tegan bike 16 hours?

Answers

252 is the answer hope it helps

Answer:  C I'm sorry if I'm wrong

Step-by-step explanation: good luck

A consumer report claims that more than 10% of the cars from a car manufacture experience engine failures before reaching a mileage of 150,000 miles. A sample of 65 cars is investigated and 9 of the cars had engine failure before 150,00 miles. Conduct a hypothesis test to test the claim with a significance level of 0.10.

Answers

Answer:

thank you kind sir for the help

75% of the 84 sixth graders at Brown Elementary School participated in Fall
Sports. How many sixth graders were involved in Fall Sports? *
63 students
58 students
54 students
48 students

Answers

Answer:

63 students

Step-by-step explanation:

84*75%=63

Answer quick plz vhbuhjn j lhhhb ugj

Answers

Answer:

The slope of the line perpendicular to this line is 2/1.. the equation would look like y = 2x + 2

Step-by-step explanation:

Since the regular slope of the line is -2/1, it would just be the opposite

HELP!! ILL GIVE BRAINLIEST

Answers

50

Step-by-step explanation:

180=65+65+x

180=130+x

-130 -130

x=50

Answer:

x=50°

Step-by-step explanation:

at first base angle of isosceles triangle are equal

so

65°+65°+x=180 sum of all angle of triangle

x=150°

6. Graph the following line.
X=5
x-intercept =
y-intercept =

Answers

Answer:

x intercept =5 y intercept =0

Step-by-step explanation:

PLEASE HELP ME IM STUCK ON THIS QUESTION.

Answers

Answer:

You got it right. Triangle DAC

Step-by-step explanation:

Line segment DA is a perpendicular bisector(it cuts line segment CE perfectly in half making line segment AE an CA congruent. Since the triangle share line segment DA that makes them congruent by the SAS postulate

The triangle that is similar to triangle EAD using the Peices of right triangle would be; Triangle DAC

Line segment DA is a perpendicular bisector which cuts line segment CE perfectly in half making line segment AE and CA congruent.

Since the triangle share line segment DA that makes them congruent with the SAS postulate.

Therefore, Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Therefore, the similar triangle is DAC

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ2

what is 1 1/4-1/3 equal to as an fraction

Answers

Answer:

11/12

Step-by-step explanation:

1 1/4 = 5/4

4 x 3 = 12

5/4 x 3/3 = 15/12

1/3 can be converted to 4/12

15/12 - 4/12 = 11/12

Solve the proportion using cross products.
18/20=k/110

A. 99
B. 122
C. 3.3
D. 2.9

Answers

A.99 1
Divide the numbers
1
8
2
0
=

1
1
0
18
20
=
k
110
2018​=110k​
9
1
0
=

1
1
0
9
10
=
k
110
109​=110k​
2
Multiply all terms by the same value to eliminate fraction denominators
3
Simplify
Solution
9
9
=

99
=
k
99=k

For two weeks, the highest temperature each day was recorded in four different cities. Lines 1, m, ,
and pare graphs of the temperatures over time in Louisburg, Memphis, New Orleans, and Phoenix.
Which statement is true?
A The initial high temperature in Louisburg is lower than it is in Memphis.
B Memphis is the only city whose highest temperature decreases.
C Louisburg always has the highest temperature.
D The high temperature in Phoenix rose faster than the high temperature in New
Orleans.

Answers

Answer:

B. Memphis is the only city whose highest temperature decreases.

Step-by-step explanation:

Let's analyse each statement looking at the graph given to see how true it is or not:

A. "The initial high temperature in Louisburg is lower than it is in Memphis."

Initial temperature is the y-intercept, that is, it is the point at which the line intercepts the y-axis.

Therefore, the city that has the greatest initial high temperature is Louisburg, which has a blue line labelled l. As you can see, the y-intercept has greater than every other city.

Therefore, Statement A is NOT TRUE.❌

B. "Memphis is the only city whose highest temperature decreases."

The line of Memphis slopes downwards from the left to our right. This shows a decrease in the highest temperature of Memphis. The line of every other city is either horizontal or slopes upwards.

Therefore, Statement B is TRUE.✅

C. "Louisburg always has the highest temperature."

The line of the graph of New Orleans shows that it's highest temperature exceeds that of others. As you can see, the line surpasses that of the rest three. So, Louisburg does not always have the highest temperature.

Therefore, Statement C is NOT TRUE.❌

D. "The high temperature in Phoenix rose faster than the high temperature in New

Orleans."

The slope of the line of New Orleans is more steeper than that of Phoenix. So, New Orleans high temperature rise faster compared to that if Phoenix.

Therefore, statement D is NOT CORRECT.❌

Fill in the blank with the missing term in the pattern. 216, 72, 24, ____​

Answers

The Answer is 216, 72, 24, 8

HELP HELP HELP Which property justifies
Anne's first step?

A . Associate property of addition

B . Addition property of equality

C. Commutative of multiplication

D. Division property of equality

Answers

Answer:

D. division property of equality

Step-by-step explanation:

If the width of the dining room table is w feet, and the length is 3w - 2 feet, write an algebraic expression that represents the perimeter of the table

Answers

P=2L+2w
Perimeter 2(3w-2)+2w
Perimeter 6w-4+2w=8w-4

The required algebraic expression that represents the perimeter of the dining room table is 8w - 4.

What is the perimeter?

Perimeter is the measure of the figure on its circumference.

Here,
The perimeter of a rectangle is given by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

Substituting the given expressions for the length and width of the dining room table, we get:

P = 2(3w - 2) + 2w

Simplifying the expression, we get:

P = 6w - 4 + 2w

Combining like terms, we get:

P = 8w - 4

Therefore, the algebraic expression that represents the perimeter of the dining room table is 8w - 4.

Learn more about perimeter here:

brainly.com/question/6465134

#SPJ7

The point P(6, -1) is translated according to the rule , y) - (1-5, y-2).
What are the coordinates of P'?
O P(1, 2)
O P'(1, 1)
OP'(1, -3)
P'(4, 4)

Answers

Answer:

C

Step-by-step explanation:

Took quiz

Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables. Sidewalk 1 x y 2 5 0 1 Sidewalk 2 x y 1 3 3 -3 (a) Write the equation for Sidewalk 1 in slope-intercept form. (b) Write the equation for Sidewalk 2 in point-slope form and then convert to slope-intercept form. (c) Is the system of equations consistent independent, coincident, or inconsistent? Explain. a. Note: Review 2.11 Strange Solutions and 5.04 Classifying Systems if you’re not sure where to start. (d) Use the substitution or elimination method to solve your system, and explain which one you picked. If the two sidewalks intersect, what are the coordinates of the point of intersection? Answer:

Answers

Answer:

y = 2x + 1 ;

y - 3 = - 3(x - 1) ; y = - 3x + 6 ;

Independent ;

(1, 3)

Step-by-step explanation:

Given the data:

Sidewalk 1:

x __ y

2 _ 5

0 _ 1

Sidewalk 2:

x __ y

1 _ 3

3 _ -3

Equation for sidewalk 1 in slope - intercept form:

Slope intercept form:

y = mx + c

c = intercept ; m = slope

m = (change in y / change in x)

m = (1 - 5) / (0 - 2) = - 4 / - 2 = 2

Y intercept ; value of y when x = 0

(0, 1) ; y = 1

Hence, c = 1

y = 2x + 1

Sidewalk 2:

Point slope form:

y - y1 = m(x - x1)

m = slope

m = = (-3 - 3) / (3 - 1) = - 6/2 = - 3

Point (x1, y1) = (1, 3)

y - 3 = - 3(x - 1)

To slope intercept form:

y - 3 = - 3(x - 1)

y - 3 = - 3x + 3

y = - 3x + 3 + 3

y = - 3x + 6

Since the slope of both lines are different, intersection will be at single point and will have a single solution. This makes it independent.

Using substitution method :

y = 2x + 1 - - - (1)

y = - 3x + 6 - - - (2)

Substitute (1) into (2)

2x + 1 = - 3x + 6

2x + 3x = 6 - 1

5x = 5

x = 1

From (1)

y = 2(1) + 1

y = 2 + 1

y = 3

Coordinate of the point of intersection = (1, 3)

- 3x + y = 3
2y = -3x - 12

Answers

Answer:

x=-2, y=-3

Step-by-step explanation:

we can rearrange the questions to make it easier

y=3x+3

2y=-3x-12

if you add the two equations, you get

3y=0x-9

so y=-9/3 = -3

plug y into one of the equations

-3=3x+3

-6=3x

x=-2

and then check your work by plugging into the other equation:

2*-3=-3(-2)-12

-6=6-12

-6=-6

3 tacos for $9.00 is a better deal than 4 tacos for $11.99
A) True
B
False

Answers

Answer:

B) False

Step-by-step explanation:

3 tacos for $9 are $3 per taco and 4 tacos for $11.99 are 2.99 for each taco.

Answer:

False

Step-by-step explanation:

9÷3 is 3 but 11.99 divided by 4 is 2.99

take 2, last time people didn’t actually help. please only reply if you know the answer!

Answers

the answer is -15+ 1/8x
i hope this helps
oooooo
X/8 - 15
oooooo

What is x when y is 204?

Answers

Answer:

X =

Y = 204 =

Step-by-step explanation:

There is 0.2 gram of calcium in 1 serving of cheddar cheese. How much calcium is in 3.25 servings of cheddar cheese?

Answers

Answer:

ewww math

Step-by-step explanation:

??????????????????????????

Answer:

0.65 g of calcium

Step-by-step explanation:

0.2 g of calcium PER 1 serving

0.1 g of calcium PER 1/2 serving

0.05 g of calcium PER 1/4 serving

Add it up

3 servings: 0.6 g of calcium

0.25 servings: 0.05 g of calcium

In total: 0.65 g of calcium

can someone help me with this

Answers

Answer:

8200

Step-by-step explanation:

10^3 is 1000

1000*8.2 is 8200

Answer:

10 to the power of 3 is:  1000

then you x is by 8.2x1000=8200

i am sorry but i do not know the rest

help me with this i'll give you 30 points

Answers

Answer:

???????????????????????????????????????????????

Step-by-step explanation:

?????????????????????????????????????????????????

Hii
I believe the expression would be 2c-5

A Line Passes Through The Point (-6, 7) and has a slope of -5/2.
Write An Equation In Slope-Intercept Form For This Line.

Answers

y=-5/2-22
because since y= m(slope)x + b
and we already have the slope, to find b we need to plug in (-6 (for x),- 7 for y)
so -7= -5/2(-6) + b
and then we multiply -5/2 times -6 which equals to 15 so then we do
-7= 15 + b
and then we subtract 15 from -7 (-7 -15)
to give us -22= b
and then we have the full eq of y= -5/2 -22
hope this helps!

Approximate √10 to the nearest whole number

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Since square rooting (√) is the opposite function of squaring a number (exponent of 2), to approximate √10 to the nearest whole number, determine the two squares it is in between.

If you square 3, you will get 9 (3 x 3 = 9) and if you square 4, you will get 16 (4 x 4 = 16). Since 10 is in between 9 and 16, √10 will be in between 3 and 4.

The difference between 9 and 10 is only 1, while the difference between 10 and 16 is 6. Therefore, √10 is closest to 3.

Evaluate the expression
6n + 3 if n=4

Answers

Answer:

27

Step-by-step explanation:

If n = 4, all we need to do is substitute the number into the equation.

6n + 3

= 6(4) + 3

= 24 + 3

= 27

I recommend checking out a few more problems like these to get the gist of it. You'll be using this a lot in the future! I recommend taking a look on Kahn Academy for more learning.

Good luck!

Solve by factoring. i2−13i−30=0

Answers

Answer:

(i+3)(i+10)

i=-3 and i=-10

Step-by-step explanation:

A florist uses 225 branches of winterberry to make 75 wreaths. Based on the ratio or unit rate, how many branches of winterberry will the florist use for 25 wreaths?

Answers

Answer:

the number of branches required to use 25 wreaths is 75 branches

Step-by-step explanation:

Given that

The florist used 225 branches of winterberry for making 75 wreaths

First we have to compute the unit rate or the ratio

= 225 ÷ 75

= 3 : 1

Now the number of branches required to use 25 wreaths is

= 3 × 25

= 75 branches

Hence, the number of branches required to use 25 wreaths is 75 branches

Other Questions
what activity makes water came to the surface? Many plants can grow in the littoral zone of a lake becausea. sunlight reaches its bottom.b. there are no algae.C. there are no animals.d. there is both salt water and fresh water. Jane needs $150 for the hot air balloon ride. She already has $45 and she can earn the rest by working 12 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to findJane's hourly earnings? Circle two correct equations.150 = 12h12 = 150 - h150 = 45 + 12h150 + 45 = 12h150 = 12h + 45 Solve the equation for the given variable.A-(r+k/4 ) f for r 13. Which organelle is the site for the cellular process of photosynthesis?a. Nucleusb. Mitochondriac. Chloroplastd. Cytoplasm 2x < 16.................. sue has 18 sweets, tony also has 18 sweets, sue gives tony x sweets, sue eats 5 of her sweets, tony then eats half of his sweets. write an expression for the number of sweets sue and tony now have Brody had his computer repaired at Store A. His bill was:Initial Repair Cost = $1,200Sales Tax of 6 percent = $72.00Gratuity of 15 percentExplain how you would calculate the gratuity for the services provided. HELPPPPP Here the last question I give you 5 points what is the least common multiple of 10 and 27 Which type of work is an electrical engineer most likely to do? A spring-loaded gun has a spring for which k =180N /mand is initially compressed by14cm. It fires a 0.024kgprojectile vertically. Find the maximum height above the initial position? Question is in the picture! Plz help!! Find the slope of the line that passes through the points M(0,2) and N (1,7)A. 1 B.-1C.5 D.-5 The Franks try not to make any conspicuous noises in the attic. Which word means the same as conspicuous? identifiable noticeable suspicious perfect Help ??? :)The Mystery of Loch NessBy Kayden MitchellOf all the mysteries in the world, none has been as popular as that of the Loch Ness Monster. Perhaps the biggest mystery is whether it is convincing evidence or a simple desire to believe that keeps the myth alive.Loch Ness is a lake in Scotland. The loch, or lake, is known for sightings of a mysterious monster. Most who see this monster, known as Nessie, describe something with a long neck and several humps above the water. Sometimes the "monster" is moving in these sightings, and sometimes it is still. Many have suggested that Nessie might be a plesiosaur (plea-see-a-soar), an aquatic dinosaur that was trapped in the loch after the last ice age.The plesiosaur theory presents several problems. First, the plesiosaur is an air breather. Such a creature would need to surface often and, therefore, be seen more frequently. Second, it's unlikely that the same creature has lived in the loch since the last ice age. Today's creature would have to be the offspring of an original plesiosaur trapped long ago. This would suggest multiple creatures in the loch (needed to produce offspring). Again, sightings would be more frequent if this were the case.So from a purely logical stand point, the existence of such a large and ancient creature is unlikely. But assume for a minute that it is possible. What would a plesiosaur need to live in an enclosed lake?Tropical waters: Scientists believe plesiosaurs were warm-blooded. Like crocodiles and alligators, plesiosaurs would need to live in warm waters. The loch is very cold with temperatures averaging about 40 degrees Fahrenheit (4.4 Celsius).Food: Like other warm-blooded creatures, plesiosaurs would need a large quantity of food. If there is a group of Nessies, then even more food would be needed. Because the loch is full of silt (underwater dust) not much light gets into the deepest areas. So the food chain, which would depend on plankton, is very weak at its base. As a result, there is probably not enough food to support such a large creature.However, the plesiosaur theory is not the only one. Many other ideas attempt to explain the sightings and "photographs." But two separate sonar surveys of the loch have not found any evidence of a creature larger than a salmon. The last survey1, completed in 2007 by the British Broadcasting Company (BBC), involved 600 different sonar beams. Using satellite navigation systems, the team made sure every inch of the loch was searched. The team found nothing.With cell phones and digital cameras, one would think that sightings of Nessie would increase. This has not happened. The BBC team believes the legend of Nessie has endured because people see what they want to see. To prove this, the team used a fence post, raising it before groups of tourists. Afterwards several of the tourists asked to draw pictures of what they had seen drew pictures of a monster's head.1 "BBC 'proves' Nessie does not exist." 27 July, 2003.Which describes the introduction to the essay? It has two paragraphs: one for the thesis and one for background. It has a wide focus: one that includes a variety of theories. It states a contradiction: one that the conclusion corrects. It states the main point: one that is not fully answered in the essay. -2.75 + 8.25 ? Help pls Hey does anyone go on the website Mkchat if you dont pls dont answer thnx the rise of the mauryan empire had which effect on India A. it led cultural advancements in indiaB. it divided india into many separate kingdomsC. it led Buddhism being banned in india D. it created continuous military conflicts SUPER EASY! Will mark brainliest if you are correct