Select ALL the correct answers. Figure A is a polygon that has been graphed on a coordinate grid. Which of the following transformations will result in a similar image to figure A? Reflect figure A across the y-axis, and dilate it by a scale factor of 4. Reduce the measurement of each angle by half, and reflect the figure across the x-axis. Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3. Double the measurement of each angle by 2, and dilate it by a scale factor of 2. Increase the length of one side of figure A by 2 units, and rotate the figure 90° counterclockwise about its center.

Answers

Answer 1

=> Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3.

=>  Reflect figure A across the y-axis, and dilate it by a scale factor of 4.

Given,

In the question:

Figure A is a polygon that has been graphed on a coordinate grid.

To select the option:

Which of the following transformations will result in a similar image to figure A?

Now, According to the question;

The correct options are:

=> Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3.

=>  Reflect figure A across the y-axis, and dilate it by a scale factor of 4.

{If the two figures are similar, then their angles are not changed. The ratio of length are the same.}

Hence, => Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3.

=>  Reflect figure A across the y-axis, and dilate it by a scale factor of 4.

Learn more about Transformation of Polygon at:

https://brainly.com/question/13012464

#SPJ1


Related Questions

The cost of a jacket j after a 5% markup can be represented
by the expression j+0.05j. Simplify the expression. Then
determine the total cost of the jacket after the markup, if
the original price is $35.

Answers

answer : $36.75

explanation:
j+0.05 = 1j+ 0.05 j
= (1+0.05)j
=1.05j

if j=35 1.05=(35) = $36.75


have an amazing day <3

In one study of burmese pythons it took a snake an a stage of 25/4 days to gain 1/8 of weight. at that rate how long does it take a snake to gain 1 pound?

Answers

At the rate of variation of 50 days/pound the snake gain 1 pound.

The mathematical expression for the percentage difference change over a predetermined period is called the rate of variation, which also denotes the movement of a variable. It allows us to understand how 2 factors that are changing interact with one another.

A snake takes 25 ÷ 4 days to gain 1 ÷ 8 pounds of weight,

a) Gain 1 pound need take: (25 ÷ 4) × 8 = 50 days

b) In one year = 365 days

= (25 ÷ 4) × (1 ÷ 8)

= (25 ÷ 4) × 8

= 50 days/pound.

So, the snake gained(1 ÷ 50) pounds one day.

In one year: (1 ÷ 50) × 365 = 7.3 pound

Learn more about the rate of variation of change at

https://brainly.com/question/12786410?referrer=searchResults

#SPJ4

help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

0.64 feet

Step-by-step explanation:

make h the subject of this expression

[tex]t = \sqrt{ \frac{h}{16} } [/tex]

[tex] {t}^{2} = \frac{h}{16} [/tex]

[tex]h = 16 {t}^{2} [/tex]

then substitute in the value of t=0.2 into the equation of h:

h = 16 × (0.2)² = 0.64 feet(answer)

A hardware store is having a 35%-off sale. If an item has a list price of $16.20, what is the item's sale price?
$12.80
$9.67
$10.53
$12.15
$11.60

Answers

Answer:

10.53

Step-by-step explanation:

hope it helps :)


Below are different equations, determine whether each equation is quadratic or not quadratic.
Write your answer on the space provided.
1x-5x+3=0
2.2s + 3t = -7
3,8k-3 = 12
4,9²-25=0
5.4m² + 4m + 1 = 0

Answers

Answer: calculate these equations

Step-by-step explanation: if you have times the square of the expression following b plus b times that same expression not squared plus c equal to 0, you have an equation that is quadratic in form. If we substitute what is in the ( ) with a variable like t, then the original equation will become a quadratic equation.

4 friends want to take a vacation together. Each person has 8 weeks to save $720 for the vacation. Analyze the 4 individual plans below and decide which of the 4 people will reach his or her goal.

a) Friend A: Works 6 hours per week at $13.90 per hour
b) Friend B: Works 7.5 hours per week at $11.70 per hour
c) Friend C: Works 9 hours per week at $10.50 per hour
d) Friend D: Works 5.5 hours per week at $15.60 per hour

Answers

The person from the 4 people that will reach his or her goal is Friend C.

How to calculate the amount?

Friend A: Works 6 hours per week at $13.90 per hour. The amount in 8 weeks will be:

= 6 × $13.90 × 8

= $667.2

b) Friend B: Works 7.5 hours per week at $11.70 per hour. The amount in 8 weeks will be:

= 7.5 × 11.70 × 8

= $702

c) Friend C: Works 9 hours per week at $10.50 per hour. The amount in 8 weeks will be:

= 9 × $10.50 × 8

= $756

d) Friend D: Works 5.5 hours per week at $15.60 per hour. The amount in 8 weeks will be:

= 5.5 × $15.60 × 8

= $686.40

In this case, C had $756 which is above the amount needed.

Learn more about vacation in:

brainly.com/question/24314569

#SPJ1

answer this and u a big W if u dont ur a L

Answers

Answer:

Part A. (4,5)

Part B. (9,7)

Step-by-step explanation:

Look at the x an y. X is bottom numbers Y is the vertical numbers. Look at A then B and boom you would get what i got.

Alvin's bill for dinner at a restaurant was $96. He left a 20% tip. What was the amount of
the tip?

Answers

Answer:$ 17.28

Step-by-step explanation:

96 x .20=19.2
When you are finding percent just go two decimals to the right
Exp: 13%=.13

6r+r-4 helpppppp like I need it

Answers

If you are asking to simplify its 7r-4

The value of the variable r in 6r+ r- 4 will be 4/7.

Given,

To solve the polynomial,

6r + r- 4,

and find the value of the variable r,

we have to convert the polynomial in to a quadratic equation by equating it with 0, or, in other words, making the polynomial equal to zero.

So, the quadratic equation will be,

6r + r- 4 = 0

=> (6r+ r) -4 =0

=> 7r -4 = 0

=> 7r = 4

=> r = 4/7.

Thus, the value of the variable r in the polynomial 6r + r -4 will be 4/7.

To learn more about polynomials:

https://brainly.com/question/9795536

The product of two fractions is 5/6 .
a) Find three different pairs of fractions that each have a product of 5/6 . Show how you know your answers are correct.
b) Explain why there are more than one pair of fractions that have a product of 5/6

Answers

The two fractions which give the product of 5/6 are 1/3 and 5/2.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the fraction is 5 / 6. The two fractions will be calculated as,

5 / 6 = ( 1 / 3)  x ( 5 / 2)

The product of the two fractions is,

( 1 / 3)  x ( 5 / 2) = 5 / 6

Therefore, the two fractions which give the product of 5/6 are 1/3 and 5/2.

To know more about an expression follow

https://brainly.com/question/28699958

#SPJ1

Isaiah need to visit the doctor. The cost of the appointment without insurance is $200. Isaiah has an insurance plan throw his employer with a $50 monthly premium and a $20 copay. How much will Isaiah have to pay his doctor?

Answers

The cost of the appointment without insurance is $200. Isaiah has an insurance plan throw his employer with a $50 monthly premium and a $20 copay. then Isaiah will have to pay his doctor $ 20

Insurance co-pay is a pre-determined amount that a person with medical insurance pay every time they use medical services. The co-pay is a dollar amount and usually less than $25. Different insurance companies have varying co-pay amounts for different services, such as doctor visits and prescriptions.

Isaiah will pay $20 for a visit to the doctor, as stated in the policy document. The $50 premium is payable to the insurance company every month to maintain the insurance coverage.  

learn more about of insurance here

https://brainly.com/question/2626811

#SPJ4

∠A=5x−12 ∘ start color #11accd, angle, A, equals, 5, x, minus, 12, degrees, end color #11accd \qquad \green{\angle B=2x + 24^\circ}∠B=2x+24 ∘

Answers

The solution to the variable x is 12 and the measure of ∠B is 48°.

How to solve congruent angles?

∠A = 5x−12°

∠B = 2x+24°

Angle A and Angle B are congruent angles.

Congruent angles are angles with the same or equal measures.

So,

∠A = ∠B

5x - 12 = 2x + 24

collect like terms

5x - 2x = 24 + 12

3x = 36

divide both sides by 3

x = 36/3

x = 12

So therefore,

∠A = 5x−12°

= 5(12) - 12

= 60 - 12

= 48°

∠B = 2x+24°

= 2(12) + 24

= 24 + 24

= 48°

Therefore, since ∠A and ∠B are congruent, the measure of ∠A and ∠B is 48° respectively.

Read more on congruent angle:

https://brainly.com/question/15443192

#SPJ1

Partition a line segment in the given ratio.
Point V lies on TU such that TV:UV is 5:2. Graph V.

Answers

Check the picture below.

[tex]\textit{internal division of a line segment using ratios} \\\\\\ T(-5,9)\qquad U(9,2)\qquad \qquad \stackrel{\textit{ratio from T to U}}{5:2} \\\\\\ \cfrac{T\underline{V}}{\underline{V} U} = \cfrac{5}{2}\implies \cfrac{T}{U} = \cfrac{5}{2}\implies 2T=5U\implies 2(-5,9)=5(9,2)[/tex]

[tex](\stackrel{x}{-10}~~,~~ \stackrel{y}{18})=(\stackrel{x}{45}~~,~~ \stackrel{y}{10}) \implies V=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-10 +45}}{5+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{18 +10}}{5+2} \right)} \\\\\\ V=\left( \cfrac{ 35 }{ 7 }~~,~~\cfrac{ 28}{ 7 } \right)\implies {\Large \begin{array}{llll} V=(5~~,~~4) \end{array}}[/tex]

Write equations of the horizontal and vertical lines that pass through (2,3) .
horizontal line:
vertical line:

Answers

A vertical line passing through this point has the following equation is x=2 and A horizontal line passing through this point has the following equation is y=3.

Given that,

The point is (2,3).

We have to find the equation of the horizontal and vertical line that pass through point.

Take the point,

(2,3)

The value of x, in this example 2, will never change for a vertical line. This holds true regardless of y's value.

A vertical line passing through this point has the following equation:

x=2

The value of y, in this case 3, for a horizontal line will also never change. This holds true regardless of the value of x.

A horizontal line passing through this point has the following equation:

y=3.

Therefore, A vertical line passing through this point has the following equation is x=2 and A horizontal line passing through this point has the following equation is y=3.

To learn more about equation visit: https://brainly.com/question/10413253

#SPJ1

Tom bought a bag full of coal. After one week the bag was 2|3 full. During the next week he used of the remaining coal What fraction was left in the bag?​

Answers

Answer:

None

Step-by-step explanation:

When he first bought the coal, it was full. After one week, he used 1/3, leaving the bag 2/3 full. If he used the remaining coal in the bag, that means he used all of the coal - all two thirds of it.

The fraction of coal left in the bag was zero or none since Tom used the remaining coal.

What is the reasoning?

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

The reasoning is a tricky but interesting problem in mathematics that requires relations of variables to solve.

As per the given,

After one week the bag was 2|3 full

Now remaining coal = 1 -2/3 = 1/3 part

Now, Tom used this remaining amount.

So, 1/3 - 1/3 = 0 part.

Hence "The fraction of coal left in the bag was zero or none since Tom used the remaining coal".

For more about reasoning,

https://brainly.com/question/2923977

#SPJ2

6) Complete the equation so that it has infinitely many solutions.
12x-x+8+ 3x =__x+__

Answers

The simplified equation is 14x+8 which has infinitely many solutions as given in the question.

What does the equation mean?Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.

How do you solve an equation?

1.Remove parenthesis and combine like terms to simplify either side of the equation.

2.Isolate the variable term on one side of the equation using addition or subtraction.

3.To find the variable, use multiplication or division.

Given equation is:

12x-x+8+ 3x

= 11x+3x+8

=14x+8

Therefore, the simplified equation is 14x+8 which has infinitely many solutions.

Learn more about equations here:

https://brainly.com/question/18831322

#SPJ1

You're putting 81 feet of molding
along the walls around a rectangular
room that's 12 feet wide; what is the
area of that room (if you subtracted
3 feet for the width of the door)?

Answers

Answer:

360 sq feet

Step-by-step explanation:

The width of the room is given in the question, 12 feet.

We don't know the length. Let's call the length x.

x = length

We were also given the perimeter, 81, that's the distance around the sides...

all the sides added up.



Use x for the long wall.

Use x-3 for the wall with the door in it.

x + 12 + x-3 + 12 = 81

combine like terms

2x + 21 = 81

subtract 21

2x = 60

divide by 2

x = 30

The room is 30 feet long by 12 feet wide.

Area =

length × width

= 30 × 12

= 360

The area of the room is 360sq feet.

a farmer wants to construct a fence around an area of 150 square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. what dimensions should the fenced area have in order to minimize the length of fencing used?

Answers

The lengths of the sides of the rectangular field so as to minimize the amount of fencing needed is 15 feet by 10 feet.

Let x represent the length of the fence and y represent the width of the fence.

Since the area is 150, hence:

Area = length × width = x × y

150 = xy

y = 150/x

A fence divide the field in half and is parallel to one of the sides of the rectangle. Hence:

Amount of fencing needed (P) = x + x + y + y  + y = 2x + 3y

Amount of fencing needed (P) = 2x + 3(150/x) = 2x + 450/x

To minimize the amount of fencing needed, dP/dx = 0, hence:

dP/dx = 2 - 450/x²

2 - 450/x² = 0

2 = 450/x²

2x² = 450

x² = 225

x = 15 feet

Let's find the value of y.

y = 1350/x = 1350/15 = 10 feet

Hence, the lengths of the sides of the rectangular field so as to minimize the amount of fencing needed is 15 feet by 10 feet.

To Learn more about Similar Dimensions questions:

https://brainly.com/question/15719559

#SPJ4

Does the diagram contain enough information to prove that line segment JK is parallel to line segment ML? Explain your answer.

Answers

Yes the diagram has enough information to prove that line segment JK is parallel to line segment ML

How to determine of line segment JK is parallel to line segment ML

A rectangle is a polygon that has four sides. the two opposite sides are parallel to each other.

The given figure is a rectangle and according to the figure line LK is equal to line JM

This defines a parallel line which are lines that are equally spaced apart such that the lines will never meet

hence line segment JK is parallel to line segment ML since they are equally spaced, the spacing is achieved by line segment LK and line segment JM

Learn more on parallel lines here:

https://brainly.com/question/29326219

#SPJ1

How does the graph of the function f(x) = x4 - 3 differ from the graph of its parent function?

Answers

Answer:

because there’s additional numbers to the equation

Step-by-step explanation:

it differs because of the -3 it’s -3 down

How can a negative number be written in scientific notation?

PLS AWNSER
For example, what is ‒0.0026 written in scientific notation?

Does any part of the process change because the number being converted is negative?

Answers

Answer:

-2.6 x 10-3

Step-by-step explanation:

if you enter the equation into a calculator it will do it for you. If you want to do it with a calculator heres how to. You would move the decimal to the first whole number for example in this case 2. How many places is that? 3. Whenever a decimal point moves to the right the spot is negative. You would then write it 2.6 with 10 (exponent -3)

Answer:

Step-by-step explanation:

To rewrite in scientific notation means to add an exponent such as e-3 in this case or [tex]10^{x}[/tex] where x is the exponent.

you would convert -0.0026 to -2.6e-3 or [tex]-2.6*10^{-3}[/tex]

The basic way of converting to scientific notation is to move your number a certain amount of decimal places until there is one number left before the decimal mark. Then the amount of values moved turns into you're exponent. A negative exponent means your are going towards a smaller number. Make sure to keep the current sign of the number

Lucia makes braided key chains out of cotton cord. For every 8 feet of cotton cord she has, she can make 3 braided key chains. Use a model to represent the relationship between the feet of cotton cord and the number of key chains.

(NEED HELP ASAP PLEASE)

Answers

A model for representing the relationship between the number of key chains and the number of feet of cotton cord is: 8x - 3y = 0.

Define the term linear equation?Linear equations are first-order equations. Lines with in coordinate system are determined by linear equations. When the equation contains a degree 1 homogeneous variable

Since Lucia creates braided key chains from out cotton cord and can create 3 braided key chains per each 8 feet of cotton cord she does have, the following equations must be performed via cross multiplication to symbolize the relationship between both the feet of cotton cord as well as the number of key chains but also obtain the number of cotton cord Lucia requires to achieve 5 key chains:

8 cotton cords = 3 key chains

Let the total length in feet of cotton cords be x.

And the total number of key chain made be y.

Then, the linear equation formed as;

8x = 3 y

8x - 3y = 0

Thus, a model for representing the relationship between the number of key chains and the number of feet of cotton cord is: 8x - 3y = 0.

To know more about the linear equation, here

https://brainly.com/question/2030026

#SPJ4

Cesium-137 has a half-life of about 30 years. if we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?

Answers

For 200mg of Cesium-137, it will be 229 years which is less than 230 years until only 1 milligram remains.

The amount of time a radioactive item takes to decay is known as the material's half-life.

The first-order kinetics for a half-life is given as 0.693 / k.

Given half-life = 30 years,

k = rate-constant =?

30 = 0.693 / k

k = 0.0231 years ⁻¹

The integrated rate law for first-order kinetics is given as follows:

A = A₀[tex]e^{-kt}[/tex]

k = rate constant of the reaction

A₀ = Concentration of reactant initially = 200 mg

A = t = 1 mg

Putting all values in the equation will give,

t = 229 years.

Thus, Cesium takes 229 years to decay to reach from 200milligram to 1 milligram in weight.

To learn more about radioactive materials,

https://brainly.com/question/3542572

#SPJ4

What is the radius of the circle made by anas brother in the blue car? use 3. 14 and round your answer to the nearest tenth ​

Answers

The radius of Ana's brother's circle in the blue car is 35 feet.

Define the term radius of the circle?A radius is a line segment that connects the center towards the perimeter of a circle or sphere. The radius length remains constant as from center either to point on the circle or sphere's perimeter.

For the given question-

The total distance covered by the Ana's brother in the blue car = 220 feet.

Total distance = circumference of the circle.

circumference of the circle = 2 π r

r = radius of the circle.

π = 3.14

Thus,

220 = 2 x 3.14 x r

r = 220 / (3.14 x 2)

r = 35.03

r = 35 feet.

As a result, the radius of Ana's brother's circle in the blue car is 35 feet.

To know more about the radius of the circle, here

https://brainly.com/question/12908707

#SPJ4

The complete question-

The missing data from the question is given in diagram attached.

the first step of writing an equation when given two points is the same for both strategies, slope-intercept or point-slope forms. What would be the first step in finding the equation of the line that passes through (5, 1) and (3, 5)? create a graph using the two points find the slope find the y-intercept substitute one point’s coordinates into either form

Answers

The answer to this question is provided in main body.The equation will be as,

What is equation?

an equation could be a formula that uses the sign to attach 2 expressions to indicate that they're equal.

Main Body:

given : points (5,1) and (3,5).

Since slope of line passing through two points

(x₁,y₁ ) and (x ₂ ,y₂​ ) is m= (x₂​ −x₁)/(y₂​ −y₁)

​We now find the slope of the line passing through the points (5,1) and (3,5) as shown below:

⇒m= (5-1)/(3-5)

⇒m= 4/-2

⇒m= -2

Therefore, the slope of the line is  -2

Now use the slope and point (5,1) to find the y-intercept.

y= mx+b

⇒1= -2(5) +b

⇒1= -10 + b

⇒b= -11

Write the equation in slope intercept form as:

y= mx+b

y = -2x -11

Hence the equation of line is, 2x + y= -11.

To learn more about equation click on the link below

https://brainly.com/question/22688504

#SPJ9

Which value of y makes the two matrices inverses of each other?
[6 14]. [-1 -7/2]
[-2-4] [y. 3/2]

-1/2
-5/14
1/2
2

Answers

The value of y that makes the two matrices inverse of each other is 1/2

The inverse of a square matrix A, denoted by A⁻¹.

The formula is [tex]\frac{1}{|A|}.adj(A)[/tex]

The product of A and A⁻¹  should be the identity matrix. The identity matrix that results will be the same size as matrix A.

Inverse of given first matrix is

[tex]\left[\begin{array}{cc}6&14\\-2&-4\end{array}\right][/tex]

Determinant = |A|  = 6(-4) - (14)(-2)

= -24 + 28

= 4

Adjoint of matrix = [tex]\left[\begin{array}{cc}-4&-14\\2&6\end{array}\right][/tex]

Inverse of matrix = [tex]\frac{1}{|A|}.adj(A)[/tex]

Therefore , Inverse = [tex]\frac{1}{4}.\left[\begin{array}{cc}-4&-14\\2&6\end{array}\right][/tex]

= [tex]\left[\begin{array}{cc}-4/4&-14/4\\2/4&6/4\end{array}\right][/tex]

A⁻¹ = [tex]\left[\begin{array}{cc}-1&-7/2\\1/2&3/2\end{array}\right][/tex]

Is required inverse

If we compare the inverse with second matrix

y = 1 / 2

To know more about Inverse here

https://brainly.com/question/17300806

#SPJ1

Answer:

third option:      1/2

Step-by-step explanation:

consider the following data set which is the time (in minutes) for students to finish a math test. 34 45 27 33 38 41 45 29 30 39 34 40 28 33 36 50 (a) what is the sample mean? (b) what is the sample standard deviation? (c) construct a 99% confidence interval for the population mean.

Answers

a) Sample mean of set is 36.375.

b) Standard deviation of sample is 6.66208.

Define mean and standard deviation.

The average degree of variability in your dataset is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. In general, values with a large standard deviation are spread out from the mean, and those with a low standard deviation are grouped together near to the mean.

Given,

a) Mean

Total number of values = 16

= Sum/Total number of values

=  34 +45+ 27 +33 +38+ 41+ 45 +29 +30+ 39 +34 +40 +28 +33 +36+ 50/16

= 582/16

= 36.375

Sample mean of set is 36.375.

b) Sample standard deviation

S² = ∈ (x i - x)²/N-1

S² = 666.75/16-1

S² = 44.383333

S = √44.38333

S = 6.66208

Standard deviation of sample is 6.66208.

To learn more about standard deviation and mean, visit:

https://brainly.com/question/10528201

#SPJ4

pls help asap giving 50 points Farmer A planted green beans and corn at a ratio of 5:3. Farmer B planted green beans and corn at a ratio of 3:2.

Which farmer planted a greater ratio of green beans to corn?

Answers

Farmer A planted a greater ratio of green beans to corn

How to find the farmer that planted a greater ratio of green beans to corn?

Ratio is defined as the comparison of two quantities (a and b) of the same units which indicates how much of one quantity is present in the other quantity. They are written a / b, where b does not equal 0

Given that:  Farmer A planted green beans and corn at a ratio of 5:3 and farmer B planted green beans and corn at a ratio of 3:2

To find the greater ratio treat the ratio as a fraction:

Farmer A => 5:3  and Farmer B => 3:2

5/3  and  3/2      (LCM of 2 and 3 is 6)

10/6 and 9/6

10:6 and 9:6

Since 10:6 is greater than 9:6. Therefore, Farmer A planted a greater ratio of green beans to corn

Learn more about ratios on:

brainly.com/question/2328454

#SPJ1

if the probability of pulling a four of hearts from a randomly shuffled deck is 1 / 52, and the probability of pulling a spade from a randomly shuffled deck are 1 / 4, then the probability of pulling a spade or a four of hearts from a randomly shuffled deck is:

Answers

The probability of pulling a spade or a four of hearts is 0.264 .

we have , from a deck of cards

probability of pulling a spade = 1/4 = 13/52

probability of not pulling a spade 3/4 = 39/52

probability of pulling a 4 of hearts = 1/52

probability of not pulling a spade = 51/52

we have to find the probability of pulling a spade or a four of hearts from a random shuffled deck

So we can get three cases :

case  A :

getting a spade and not getting four of hearts

∴ P (A) = [tex](\frac{13}{52} ) (\frac{51}{52} )[/tex] = 663/2704

case  B :

not getting a spade and getting four of hearts

P(B) = [tex](\frac{39}{52}) (\frac{1}{52} )[/tex]  =  39/2704

case  C :

getting a spade and getting four of hearts

P(C) = [tex](\frac{13}{52})(\frac{1}{52} )[/tex] = 13/2704

therefore , the required probability will become

P = P(A) +P(B) + P(C)

P = 715/ 2704

P = 0.264

learn more about probability here :

https://brainly.com/question/11234923

#SPJ4

the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that thesum of the four numbers on each face is the same. what is this common sum?

Answers

The common sum is 18 as "the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same".

What is sum?

A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, thousand, or a million. The outcome or conclusion we arrive at when we add two or more numbers is known as the SUM. Addends are the numbers that are added.

Here,

The sum of the numbers on one face of the cube is equal to the sum of the numbers on the opposite face of the cube; these 8 numbers represent all of the vertices of the cube.

=(1+2+3+4+5+6+7+8)/2

=18

Since "the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same," the common sum is 18.

To know more about sum,

https://brainly.com/question/25521104?referrer=searchResults

#SPJ4

Other Questions
In the fraction three-fifths, which statement best describes the denominator? A. It tells the number of equal parts out of the total number of parts. B. It tells how many are shaded. C. It represents the number of equal parts into which the whole is divided. D. The denominator means three out of five are shaded. a(n) is a set of group expectation for appropriate thought and behaviors of its members. The screenshot included A crate of medicine with a density of 2050 kilograms per cubic meter that will be shipped from England to the U.S. What is the crate's density in pounds per cubic foot? Without stratospheric ozone (o3), harmful solar radiation would cause gene alterations. ozone forms when the bond in o2 breaks and each o atom reacts with another o2 molecule. it is destroyed by reaction with cl atoms formed when the ccl bond in synthetic chemicals breaks. find the wavelengths of light that can break the ccl bond and the bond in o2. give your answers in scientific notation. what is the measure of EAC? if the united states were to impose 100 percent tariffs on imports of chinese shrimp, what would most economists conclude? how many copies for every 10 minutes elsa has been spending a lot of time on the stair machine at her gym. she is starting to feel really sore in her knees, but she figures that it is not a big deal since exercise often makes people ache. what is the best advice for elsa? a truck driver slams on the brakes and skids to a stop through a displacement if the truck had double the mass find the truck's skidding distance in terms of Describe the conditions of the first African enslaved persons in the British Colonies in the 1600s. Why was the Civil War the first modern war? Which one of the following breathing exercises will stimulate your breathing and your circulatory and nervous systems?Question 1 options:Relaxing sighImaginative breathingClenched fistDeep, relaxed breathing What relevance does the novel 1984 have for readers in the 21st century? What does this novel teach us? If it teaches nothing, why do you say that? Write a detailed equation in slope-intercept form for the line that passes through (3,1) and (1,2).25 points You are holding a small helium balloon. Your friend says that the buoyant force from the atmosphere is greater on her car than your balloon. Is she correct? Explain your answer. Major depressive disorder involves a long-lasting sadness that is severe enough to affect the child in multiple ways (physically, emotionally, cognitively, and socially). Who is most at risk for this during middle childhood? the length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 8 cm/s. when the length is 12 cm and the width is 10 cm, how fast is the area of the rectangle increasing (in cm2/s)? Which suspected action would be investigated by the Securities and Exchange Commission?A. Advertisers making false claims about a productb. computer software company creating a monopolyc . Speculative investors manipulating stock valuesD. An estate planner fraudulently using retirement benefits a mutation in the dna changes an adenine to a guanine. this adenine was the a in the aug of a start codon for a gene. what process or processes would this mutation impact? griffith's experiment. why did an injection of both living iir cells and dead iiis cells kill the mice when each of those cells individually did nothing? 2 avery's experiment. why were no iiis cells found in the mixture containing deoxyribonuclease, but they were found in the mixtures containing ribonuclease or protease?