If a fair die is rolled twice and two numbers X1=result of the first roll and X2=result of the second roll are obtained. Given that X1+X2=7, what is the probability that X1 =4 or X2 =4

Answers

Answer 1

Answer:

P = 2/3 = 0.67

Step-by-step explanation:

Assuming that X1 + X2 = 7

The total number of outcomes such that X1 + X2 = 7 are:

X1 = 3, X2 = 4

X1 = 4, X2 = 3

X1 = 1, X2 = 6

X1 = 6, X2 = 1

X1 = 2, X2 = 5

X1 = 5, X2 = 2

So there are 6 total outcomes such that X1 + X2 = 7

Now, the probability that X1 = 4 is equal to the quotient between the number of outcomes where X1 = 4 (only one outcome) and the total number of outcomes (6)

Then:

p = 1/6

And the probability that X2 = 4 is calculated in the same way, then the probability is:

q = 1/6

Now, the probability that X1 = 4 or X2 = 4 is the sum of both probabilities we've found above, then:

P = p + q = 1/6 + 1/6 = 2/6 = 2/3 = 0.67


Related Questions

If 40% of a number is 112 and 95% of the same number is 266, find 55% of that number.

Answers

Answer:

154

Step-by-step explanation:

.4 x 112 = 280

.95 x 266 = 280

.55 x 280 = 154

What is the GCF for 4x^2yz^3 and 12xz^2

Answers

Answer:

The great common factor is:

x(2z)²

Steps:

given:

4x²yz³12xz²

4x²yz³ = 2²x²z²yz

4x²yz³ = x(2z)²xyz

---------------------------------

12xz² = 4×3xz²

12xz² = 2²3xz²

12xz² = x(2z)²3

The great common factor is: x(2z)²

Answer:

4xz^2.

Step-by-step explanation:

GCF of 4 and 12 is 4

GCF of x^2 and x is x.

GCF of z^3 and z^2 is z^2.

If −x+8y=−3 is a true equation, what would be the value of 2(−x+8y)?

Answers

Answer:  -6

Step-by-step explanation:

If −x+8y=−3 is a true equation, we plug in -3 for -x + 8y, we get 2(-3) = -6.

how many times can 82 go into 401

Answers

Answer:

4.89 times

Step-by-step explanation:

I hope this helps :)

Answer:

82 can go into 401 four times.

Step-by-step explanation:

82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.

5. Find the value of x. Enter the numeric value only. Round your answer to 10 point
the nearest hundredth.

Answers

I think you do 20(20+x)=31(31+x). Basically you need to set up a proportion

Britton simplified an expression and got 1 108 for his answer. If he simplified correctly, which expression did Britton simplify?

Answers

Answer:

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divideStep-by-step explanation:


[tex] 25x { }^{2} + (5x - 3)(2x + 7) - 9[/tex]

Answers

Step-by-step explanation:

[tex]5x - 3 \times 7x + 10[/tex]

Answer:

35x² + 29x - 30

Step-by-step explanation:

Given

25x² + (5x - 3)(2x + 7) - 9 ← expand factors using FOIL

= 25x² + 10x² + 29x - 21 - 9 ← collect like terms

= 35x² + 29x - 30

2.Use the digits given below to make the largest possible number
without repetition off digits. .Then round off nearest ten, hundred and
thousand
a) 2, 5,4 , 3, 6, 7

b) 0 ,9, 8, 7 ,6, 4

Answers

Answer:

1)765432

Nearest ten: 765430

Nearest hundred: 765400

Nearest thousand: 765000

2) 987640

Nearest ten: 987640

Nearest hundred: 987600

Nearest thousand: 988000

Not sure if this is what you want.

if y varies inversely as x, and y =35 when x =14, find x when y =15.

Answers

Answer:

[tex]x = 32 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k first.

When y= 35, x= 14,

[tex]35 = \frac{k}{14} [/tex]

k= 14(35)

k= 490

Substitute the value of k into the equation:

[tex]y = \frac{490}{x} [/tex]

When y= 15,

[tex]15 = \frac{490}{x} [/tex]

15x= 490

x= 490 ÷15

[tex]x = 32 \frac{2}{3} [/tex]

Help me please I don’t know this stuff

Answers

answer: 24 because jeff earned $600 and for jason to earn the same amount 24*25 hours = 600

reflect the triangle in the mirror line

Answers

Answer:

correct me if im wrong bb

Which graph correctly solves the equation below?
-x² – 1 = 2x^2 – 4

Answers

Answer: Hope this helps. I didn't see any graphs posted on your question.

Step-by-step explanation:

y = -x²-1

y = 2x²-4

Edit: posted wrong screenshot :/

here is the actual one lol

1. the area of a circle is 132.7 square inches. find the radius. round to the nearest tenth

2. in terms of pi, find the area of a 120 degree sector in a circle with a 6m radius

Answers

Answer:

no ):(

Step-by-step explanation:

Answer:

1. r ≈ 6.5in

2. 132

Step-by-step explanation:

1. A=πr2

Solving for r

r=A

π=132.7

π≈6.49921 in

2. = 120°/ 360° x 22/7 x 6²

= 1/3 x 22/7 x 6 x 6

= 22 x 6 x 6 / 7 x 3

= 22 x 6

= 462

Abby mixed orange paint by using 3 cups of red paint and 9 cups of yellow paint. Zack made his orange paint by mixing 5 cups of yellow paint and 3 cups of red paint. Are Abby's and Zack's mixes proportional? Explain.

Answers

yes 8 and 12 are proportional

The sides of a right triangle are used to construct three squares, as shown below. The number of square units, representing area, is shown in two of the squares. A represents the area of the largest square.

Answers

1. We know that the distance formula will be be d=√((x_2-x_1)²+(y_2-y_1)²), then we can do x2-x1=3. Y2-Y1=5. 3x3+5x5=34, the square root of 34 is around 5.83. The answer is F.

The person with that spam is rude and wasted your time, sorry for that.

The solution is Option D.

The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the area of the square A be = S

Let the triangle be represented as ΔABC

The base of the triangle BC = 5 units

The height of the triangle AB = 3 units

So , the hypotenuse of the triangle AC = Side of the square A

And , from the Pythagoras theorem

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

AC² = 5² + 3²

AC² = 25 + 9

AC² = 34 units²

AC² = Area of the square A with side AC

Therefore , the value of S is 34 units²

Hence , The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.

Answers

Answer:

[tex]c = 11[/tex]

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

[tex]a = b= 5[/tex]

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: [tex]a = b= 5[/tex]

[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]

Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]

[tex]0 < c < 10[/tex]

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

[tex]c = 11[/tex], since no options are given

Simplify: –3(y + 2)2 – 5 + 6y

What is the simplified product in standard form?

y2 +
y +

Answers

- 17 woule be the correct answer for the equation being simplified

Answer:

For edge

Step-by-step explanation:

The first one is -3

The second one is -6

The last one is -17

Can someone help me please

Answers

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Answer: (-10,-2)

Just multiply the points by 2

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

(-10,-2)

Step-by-step explanation:

What is the area of the rectangle with the given dimensions? *

The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?

F 6x2 - 9x - 15
G 6x2 - 9x + 15
H 6x + 9x - 15
J 6x - 15x - 9

Answers

Given:

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

[tex]Area=Length\times Width[/tex]

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex]. So, the area of the given rectangle is:

[tex]Area=(2x-5)\times (3x+3)[/tex]

[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]

[tex]Area=6x^2+6x-15x-15[/tex]

[tex]Area=6x^2-9x-15[/tex]

Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].

Find the value of a in the diagram below:
20
40°
200°

Answers

50

angles in triangle =180
180-40=140
the other angle is a right angle so 90°
140-90=50

what is the value of a and b

Answers

hey i would answer but you didn’t provide enough context! make sure to upload images with your question hun.

Help me with this! Will give brainlist!!

Answers

Answer:

answer is C i think

Step-by-step explanation:

Answer:

18.85 B

Step-by-step explanation:

5 - Numbers from 1 to 50 are written on a piece of paper and dropped into a box. A paper is chosen at random
What is the probability of getting a number less than 19? (whole percentage)
%

Answers

Answer:

1 out of a 50% chance

Step-by-step explanation:

hope it helps

zoey invested $230 in a account interest rate was 6.3% daily to the nearest hundred dollars, would be after 12 years

Answers

$500 dollars is the answer to this problem

Solve for kkk. \dfrac{3}{k} = \dfrac{4}{5} k 3 ​ = 5 4 ​ start fraction, 3, divided by, k, end fraction, equals, start fraction, 4, divided by, 5, end fraction k =k=

Answers

Answer: [tex]\dfrac{15}{4}[/tex]

Step-by-step explanation:

Given

[tex]\Rightarrow \dfrac{3}{k}=\dfrac{4}{5}[/tex]

Apply cross-multiplication

[tex]\Rightarrow K=3\times \dfrac{5}{4}=\dfrac{15}{4}\\\\\Rightarrow k=3\ \dfrac{3}{4}[/tex]

The value of k is [tex]\dfrac{15}{4}\ \text{or}\ 3\ \dfrac{3}{4}[/tex]

Answer:

15/4

Step-by-step explanation:

if you make $8 an hour and you get a 10% raise how much are you making now

Answers

Answer:

$8.8

Step-by-step explanation:

[tex]8*0.10=0.8[/tex]

[tex]8+0.8=8.8[/tex]

please help


will mark brainlist

Answers

ANSWER:

J:

(5,-10)

K:

(15,-6)

L:

(15,-15)

What unlisted said is true

one ticket costs $8. if you have $56, how many tickets can you buy?


please show work if it’s possible!!:)

Answers

Answer:

7

Step-by-step explanation:

because 56 divided by 8 = 7

or 7 x 8 = 56

hope this helps?

if its right can i have brainlist?

:')?

Answer:

You can buy 7 tickets

Step-by-step explanation:

56 devided by 8 is 7

14) In golf, a birdie means you score (-1) and a bogey means you score (+1), in relation to par. What
would your score be if, after eight holes, you had five birdies and three bogeys?

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2 the other person is also definitely right.

para envasar 600kg de mole en pasta una productora de alimentos utiliza 140 envases ¿cuantos envases se necesitará para 950kg de mole?

Answers

Answer:

link respuesta - https://answer-helper.com/mathematics/question21964709

Step-by-step explanation:

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