College Math- Probability (Help appreciated!!!!) (please no links! :) )
A pair of fair dice is rolled. E is the event that the first dice rolls a 3 and F is the event that the sum of the two dice is 6. Are E and F independent events?

Answers

Answer 1

Answer:no they are not independent

Step-by-step explanation:

1) in order for events to be independent the probability of E happening should equal the probability of E happening given that F has already happend

2) P(E)=1/6 (on 6 sided die there is only 1 face that has 3 hence probability of e occurring is 1/6) or .167

3) P(E | F) read as probability of E happening given F has occurred

(Probability of E * probability of F) / total number of outcomes in F

probability of F= 1/6 as there is only one face(3) which will make the sum of the 2 die 6

(1/6)(1/6)/6=0.004

P(E)= .1167

P(E| F) =.004

hence probability aren't equal as making F happen impacts E'E's chances

ANOTHER way to think about this is if E rolls a 3 then the only way to make the sum of the 2 dice equal 3 is if die 2 rolls 3 as well. Hence the pprobability Of the second outcome tht sum of 2 die=6 depends on the number the first die lands


Related Questions

Tell whether the relation is a function. Explain your reasoning
{(-1, 7), (9, 4), (3, -2), (5, 3), (9, 1)}

Answers

Answer:

no, since the numbers are mixed up both negative and positive

Answer:

relation is a function

Step-by-step explanation:

For the relation to be a function each value of x in the domain must map to exactly one unique value of y in the range.

This is the case here so the relation is a function

A park recorded 3.5x10^4 visitors in 1936 and 2.2x10^5 visitors in 1986. How many more people visited the park in 1986 than in 1936

Answers

In 1936 visitor 3.5*10^4 = 35000
In 1986 visitor 2.2*10^5 = 220000
So more people visited = (220000-35000)
= 185000

What is 1.625 rounded to the nearest tenth.

Answers

Answer:

1.6

Step-by-step explanation

2 is les than 5 so you round down

A coat is discounted 40% off its regular price. Which value is equivalent to 40%

Answers

Answer:

A coat is discounted 40% off its regular price. Which value is equivalent to 40%

=2/5                          

ASAP as well I’m sorry ……..

Answers

42 degrees, it is an alternate interior angle to the 138°, meaning the two angles add to 180°
You add the two angels to 180 degrees

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

This one you will use pythagorean theorem to get the height of the parallelogram and then use the area of a rectangle to solve. (please see pic)

don’t forget to reduce your radical when solving for height.

18 root 6 is the answer or selection 1.

Answer:

18√6

Step-by-step explanation:

From Pythagoras theorem,

b^2 + p^2=h^2

or, 1^2 + p^2 = 5^2

or, p^2=25 - 1

or, p=√24

or, p=2√6 (√24 = √4*√6

= 2*√6

= 2√6)

Again,

we know,

Area of parallelogram (A) = bash*height

=9*2√6

=18√6

Someone help me please

Answers

It’s (d) because if one solution to a quadratic function g is the solution given then the other solution must be it’s complex conjugate which is d.

What is the equation of the line that is parallel to the line y − 1 = 4(x 3) and passes through the point (4, 32)? y = –one-fourthx 33 y = –one-fourthx 36 y = 4x − 16 y = 4x 16

Answers

The equation of the line that is parallel to the line y = 4x + 13 and passing through the point (4, 32) will be y = 4x + 16. Then the correct option is D.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The equation of the line is given below.

y − 1 = 4(x + 3)

The equation can be written as

y = 4x + 13

Then the equation of the line that is parallel to the line  y = 4x + 13 and passing through the point (4, 32) will be

The slope of the parallel lines will be the same

Slope = 4

Then

y = 4x + c

The line is passing through (4, 32)

32 = 4(4) + c

32 = 16 + c

 c = 16

The equation of a parallel line is y = 4x + 16

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:it’s d

Step-by-step explanation: y=2/5x+5

Find an expression for the area of each shade region,write your answer in standard form

Answers

Answer:

8x+24

Step-by-step explanation:

(x+5)²-(x+1)²

x²+10x+25-(x²+2x+1)

x²+10x+25-x²-2x-1

8x+24

Hence the required equation is 8x+24 or 8(x+3)

Bryce left a 20% tip on a $45 dinner bill. How much was the tip?

Answers

Answer:

$9

Step-by-step explanation:

divide the value by thr total value then multiply by 100. formula=(value/total value)x100

Gagu is paid £1200 per month.

He is going to get a 4% increase in the amount of money he is paid.

Work out how much Gagu will be paid per month after the increase.

Answers

gagu kaba de charot labyu..

ito formula pala makuha interest,

You can calculate simple interest in a savings account by multiplying the account balance by the interest rate by the time period the money is in the account. Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance).

Amanda uses her Credit card to purchase $75 of materials Amanda pays her credit card off each month

Answers

The remaining balance that Amanda will pay when the credit card is used to pay $75 from the total amount is $125.

How to compute the amount?

Your information is incomplete. Therefore, an overview will be given. Let's assume that the total purchase made by Amanda is $200.

In this case, she uses her credit card to make payment for $75. Therefore to know the remaining balance, you'll subtract $75 from the total purchase. This will be:

= $200 - $75

= $125

Learn more about credit card on:

https://brainly.com/question/6872962

HELP PLS HOW YOU GET ANSWER

Answers

Answer: d, the diameter, is about 36.92 units

Step-by-step explanation:

         The c value is the circumference and we are being asked to solve for the diameter.

         We can take the value they give for the circumference, plug it into the circumference formula, and solve for d. Please note that the diameter is two times the radius, or r, so at the end I will multiply r by two.

C = 2πr

(116) = 2πr

18.46 ≈ r

r ≈ 18.46

-

18.46 * 2 = 36.92

     The missing measure is about 36.92 units.

A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. there are 28.3495 grams in an ounce and 2.54 centimeters in an inch. how many ounces would a 19.45 inch length of the same rope weigh? a. 5.10 oz b. 11.49 oz c. 32.92 oz d. 53.90 oz

Answers

A 19.45-inch-long segment of the same rope would weigh 32.92 ounces.

How many inches in one centimeter?

A centimeter is a unit to measure a length in the metric system. One centimeter is equal to 0.39 inches.

It is given that

3.25 cm length of rope weighs 61.40 grams.

There are 28.3495 grams in an ounce.

There are 2.54 centimeters in an inch.

a = b

c = x

So x = cb / a

If there are 2.54 centimeters in 1 inch,

centimeters= 19.45 × 2.54/ 1 inch

centimeters= 49.403

Now, if 3.25 centimeters long weighs 61.40 grams, then

grams= 49.403 × 61.40 / 3.25 centimeters

grams= 933.34

Finally, if there are 28.3495 grams in 1 ounce,

ounces= 933.34 × 1 ounce / 28.3495 grams

ounces= 32.92

Thus, A 19.45-inch-long segment of the same rope would weigh 32.92 ounces.

Learn more about centimeter:

https://brainly.com/question/17817382

look at the question!!

Answers

Answer:

The right answer is G. 9

Step-by-step explanation:

(11y-36)° = 63°

11y = 63 + 36

y = 99 ÷ 11 = 9

y = 9

Faith wants to add a 20% tip to a $56 restaurant bill. How much will Faith pay including the tip?

Answers

Answer:

67.20$

Step-by-step explanation:

multiply 56 by 1.2

Answer:

$67.2

Step-by-step explanation:

Given:

Price = $56Tip = 20%

∴ Equation: Price + Tip = Total

⇒ 56 + (20/100 × 56) = Total

Simplify the equation to obtain the total:

⇒ 56 + (20/100 × 56) = Total⇒ 56 + (20/50 × 28) = Total⇒ 56 + (20/25 × 14) = Total⇒ 56 + (4/5 × 14) = Total⇒ 56 + (56/5) = Total

Convert the expression in the parenthesis into decimals:

⇒ 56 + (56/5) = Total⇒ 56 + (11.20) = Total

Open the parenthesis and simplify:

⇒ 56 + 11.20 = Total⇒ $67.2 = Total

Faith will pay (including the tip) $67.2.

Mid School.
Why don't students want their name written up by their teacher, when they in trouble?

Answers

Answer:

Students will usually not want their name written because they believe it is humiliating.

The trinomial x2 bx – c has factors of (x m)(x – n), where m, n, and b are positive. what is the relationship between the values of m and n? explain.

Answers

The relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.

What is trinomial?

A trinomial is the type of algebraic expression in which there are three terms present and more than one variable are present.

The trinomial given in the problem is,

[tex]x^2 +bx - c[/tex]

This trinomial has factors of,

[tex](x +m)(x - n),[/tex]

Where m, n, and b are positive.

If this factors multiply by each other, we get,

[tex](x +m)(x - n)\\x^2+nx+mx+nm\\x^2+(n+m)x+nm[/tex]

Compare it with the trinomial, we get,

[tex]b=(m+n)[/tex]

Which is the sum of the terms,

[tex]c=nm[/tex]

Which is the product of the terms.

Hence, the relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.

Learn more about the trinomial here;

https://brainly.com/question/1538726

What is the value of this expression when
d= 47 and f = 3?
6 (d - f) +f

Answers

Answer:

267

Step-by-step explanation:

We are given the expression:  6 (d - f) +f

The value of the expression when d= 47 and f = 3 is :

6 (47 - 3) +3 = 6×(44) + 3 = 264 + 3 = 267

=267

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

C. 5 1/2

Step-by-step explanation:

Hope this helps!

Have a blessed day!!

What is the value of x? (7+x)=(3x+1)3

Answers

Answer:

x = 1/2

Step-by-step explanation:

7 + x = 3*3x + 3*1

7 + x = 9x + 3

8x = 4

x = 1/2

Answer for this question is 1/2 or .5

There is a pic the answers are not in in please solve if you could include work that would be ideal

Answers

Answer:

400 is the required answer

correct answer is 405.125

Step-by-step explanation:

If u want complete solution do mention in the comment

8.6.PS-8
Find the area of this circle. Use
3.14 for n.
3 ft
.
The area of the circle is about ft2.
(Round to the nearest hundredth as needed.)

Answers

ANSWER:

379.94 ft^2

EXPLANATIONS:

Regression analysis is better than the high-low method of cost estimation because regression analysis: Multiple Choice Fits data into a mathematical equation. Takes less time. Is mathematical. Can provide greater precision and reliability. Is a statistical method.

Answers

Answer:

hola no sé qué decirte no se Inglés

Find the area of the circle with circumference 2(pi)r cm​

Answers

Answer:

area should be (pi)r^2

Which functions have a vertex with a x-value of 0? select three options. f(x) = |x| f(x) = |x| 3 f(x) = |x 3| f(x) = |x| − 6 f(x) = |x 3| – 6

Answers

The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are  functions have a vertex with a x-value of 0.

What is a function?

A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.

The standard absolute value function is found as;

[tex]\rm f(x) = a|x - h| + k[/tex]

Where,

(h, k) denotes to the vertex

h is the vertex of the x-coordinate

k is the y-coordinate of the vertex

By comparing the standard equation with the given equation in the options we will get the functions to have a vertex with an x-value of 0;

[tex]\rm f(x) = |x| \\\\ \rm f(x) = |x| + 3 \\\\ f(x) = |x| - 6[/tex]

The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are  functions have a vertex with a x-value of 0.

Hence options 1,2 and 4 are functions that have a vertex with an x-value of 0.

To learn more about the function refer to the link;

https://brainly.com/question/12431044

Answer:

A, B, D

Step-by-step explanation:

It's trig...First person gets branliest

Answers

Answer:

~29.99

Step-by-step explanation:

What is the answer to the question 3m-8n/13

Answers

Answer:

the answer to the question is 3m8n = 13

How do I solve problems like these

Answers

First of all we need to find the equations of the lines :

y( red ) = - x + 2

y(blue) = 2x - 1

Then we must to put the equations equal to each other and going to to find the value of x :

[tex]- x + 2 = 2x - 1[/tex]

Add both sides x

[tex] - x + x + 2 = 2x + x - 1[/tex]

[tex]2 = 3x - 1[/tex]

Add both sides 1

[tex]2 + 1 = 3x - 1 + 1[/tex]

[tex] 3 = 3x[/tex]

Switch sides

[tex]3x = 3[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{3}{3} \\ [/tex]

[tex]x = 1[/tex]

After u the value of x , put it in one the equations to find the value of y :

[tex]y = - x + 2[/tex]

[tex]y = - (1) + 2[/tex]

[tex]y = - 1 + 2[/tex]

[tex]y = 1[/tex]

Thus the solution is ( 1 , 1 ) .

5x-3y=-2, -x+2y=-8
Solve by elimination method

Answers

mark brainliest pls:,) hope this helpss
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