A game and a controller are on sale for 45% off. The regular price of the game is $80. The regular price of the controller is $120. What is the sale price for the game

Answers

Answer 1
It is 36

Explanation:
80/100 = 0.8
0.8*45 = 36

Related Questions

What is the area? For this Shape.
Please answer this quick!!!

Answers

Answer:

19 square meters

Step-by-step explanation:

so split the shape into 2 rectangles (where you drew the line by the number 7)

then 3 times 5 is 15 and for the area of the second triangle it's not 1 times 7 because 7 is the entire side and we just need the smaller part on the right. So we do 7-3 because 3 is the amount of the side we dont need (it says on the bottom) and 1 times 4 is 4 and 4+15 is 19

find the equation of the line given (4,-2) and (3,10)​

Answers

Answer:

y-(-2)=-12(x-4)

Step-by-step explanation:

Use Slope point Form to solve this equation. Follow the steps in the image.

-Hope this helped

What is a solutions grade 7?

Answers

Answer: Homogeneous mixture

Step-by-step explanation:

Grade 7 Science. Solutions… a review. A homogeneous mixture They appear as ONE substance Examples: tap water, vinegar, gold jewelry.

Please help, i dont really understand this lol

Answers

Answer:

A) [tex]x>-2[/tex]

Step-by-step explanation:

[tex]x+4>-x \\ \\ 2x+4>0 \\ \\ 2x>-4 \\ \\ x>-2[/tex]

Jake filled a bucket with 2 7/8 gallons of water. He then poured out 1/3 gallons of water. How much water remained in the bucket.


Thanks!

Answers

Answer: 2.54167 another way to write it 2 13/24 gallons of water jake put in his water.

Step-by-step explanation:

A linear relationhip i hown in the table. Time (hour) 2 4 6 8
Ditance (mile) 4 8 12 16


I the linear relationhip alo proportional? Explain. No, the contant of proportionality i 2. Ye, the contant of proportionality i 2. No, there i no contant of proportionality. Ye, there i no contant of proportionality

Answers

The value of k is 4. So the constant of proportionality is 4.

In the given question, a linear relationship is shown in the table.

Time (hour)         2    4    6    8

Distance (mile)   4    8    12   16

We have to find the linear relationship also proportional.

When determining if two ratios or fractions are equivalent, the proportion formula is utilized. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, b::c: d = a/b = c/d.

y ∝ x is the supplied proportional equation.

Additionally, y = kx, where k is the proportionality factor.

It shows that the expressions printed on the left and right sides have an equal relationship.

Let k be the proportionality constant for the given data.

Now , the value of k is determined by x = {2, 4, 6, 8}.

The values of distances be y = {8, 16, 24, 32}.

The proportionality constant is now provided by y = kx.

Divide by x on both sides of the equation, we get

k = y/x

Substituting the values in the equation, we get

k = 8/2

k = 4

k = 16/4

k = 4

Hence, the value of k is 4. So the constant of proportionality is 4.

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The constant of proportionality is 4.

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Let the proportionality constant be k

Noe the value of proportionality constant k is determined by

The values of time be x = {2,4,6,8}

The values of distance be y = {8,16,24,32}

Now, the constant of proportionality is given by

y = kx

Divide by x on both sides of the equation, we get, k = y/x

Substituting the values in equation, we get

K = 8/2 = 4

And k = 16/4 = 4

Therefore the value of k is 4.

hence, the constant of proportionality is 4.

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What is the gradient of the line y 6x =- 5?

Answers

After solving, the gradient of the line y = 6x - 5 is 6.

We have to find the gradient of the line y = 6x - 5.

The formula known as the slope relates to the method for calculating a line's steepness and inclination. The x and y coordinates of the locations along the line can be used to determine the slope of the lines. It is the ratio of the change in the y-axis to the change in the x-axis, to put it another way.

By utilizing the line equation, the slope of any line may be expressed as

y = mx + b, where m = gradient.

When we compare the given equation y = 6x - 5 by the standard equation, we get m = 6.

So the gradient of the line y = 6x - 5 is 6.

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The write question is:

What is the gradient of the line y = 6x - 5

5 of 8 18 seconds A Given that A, O & B lie on a straight line segment, evaluate acute ZCOD. C (3x+88) this question ZCOD = 46 0 (x +36) (2x-4) The diagram is not drawn to scale. D B​

Answers

On solving the provided question, we can say that A,O, B lie on a straight line segment, so, angle COD=46°

what are angles?

An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.

A,O, B lie on a straight line segment.

We know that

straight line has  = 180

angle AOC=3x+88

angle COD=(x+36)

Angle DOB = (2x - 4)

[tex]AOC+ COD+ DOB=180\\(3x+88)+(x+36)+(2x-4)=180\\6x+190=180\\ x=60/6=10 \\COD=x+36=10+36=46\\[/tex]

so, angle COD=46°

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Determine if this statement is always, sometimes, or never true.
If a ≥ 0, then |a| = -a

never
sometimes
always

Answers

The statement "If a ≥ 0, then |a| = -a" is always false.

What is the absolute value?

Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.

The absolute value of a real number, denoted by |a|, is the non-negative value of a without regard to its sign.

Therefore, if a is greater than or equal to zero, the absolute value of a is equal to itself.

On the other hand, -a is the negative of a, which is only the case when a is less than zero.

Hence, |a| can never equal to -a when a ≥ 0, because the absolute value is always non-negative, while -a is always negative.

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The sentence "If a 0, then |a| = -a" is untrue at all times. 4 is equal to 4 in absolute terms. The formal notation for a number's absolute value is |x|.

What is the absolute value?

Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line. A number can never have a negative absolute value. The non-negative value of a, indicated by the symbol |a|, is the absolute value of a real number, regardless of its sign. It follows that if an is higher than or equal to zero, its absolute value is also zero.

However, -a is the opposite of a, and is only true when an is less than zero. This means that when an is greater than 0, |a| can never equal -a because the absolute value is always non-negative whereas -a is always negative. Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line.

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In LMN MN=15cm, LP is perpendicular to MN, LP=100 angle PLN=PNL state the length of PN. Give reason for your answer. PLS HELP ME ​

Answers

Therefore , the solution of the given problem of triangle comes out to be PN =100 cm .

A triangle is what exactly?

An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.

Here,

Given :

MN = 15 cm

and

LP = 100

and

ΔPLN=ΔPNL

Length of PN:

Since

=> PN = LP

=> PN =100 cm

Therefore , the solution of the given problem of triangle comes out to be

PN =100 cm .

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How can you break apart the factor 4 into equal addends to find the factor 4x7

Answers

We can add the factor 4 seven times to find the product 4 × 7.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number. a × b means that a is added to itself b times or b is added to itself a times.

So we know that multiplication is basically addition of one of the numbers up to the times as that of the other number.

Given, we have to find the product of 4 × 7, in terms of addition, by using the factor 4.

The meaning of the product of 4 and 7 is that 4 is adding to itself 7 times or 7 is adding to itself 4 times.

Since we need to break the product in terms of 4 as addends, we can write,

4 × 7 = 4 + 4 + 4 + 4 + 4 + 4 +4

Hence we can break 4 as 7 equal addends to find the given product.

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Which of the following shapes are rectangles?
Which of the following shapes are rectangles?
Which of the following shapes are rectangles?
Which of the following shapes are rectangles?
Which of the following shapes are rectangles?
Which of the following shapes are rectangles?
Which of the following shapes are rectangles?

Answers

A rectangle has four sides and angles at 90 degree.

What is a rectangle?

A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.  A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

Given: shape of a rectangle

A rectangle is closed flat shape, having four sides, and each angle equal to 90 degrees. The opposite sides of the rectangle are equal and parallel.

Hence, A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).

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The graph shows the number of possible passengers for a given number of roller coaster cars that leave the platform. Complete parts a and b.

Answers

the slope of the line is 8 and equation line is y = 8x.

What is the slope of line?

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.

We know that formula two find the slope of the line joining two points which is

slope m = 24-16 / 3-2

m = 8/1 = 8

y = 8x

Hence the slope of the line is 8 and equation line is y = 8x.

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Which of the following expressions are polynomials? Justify your answer:(1) 8(ii) √3x² - 2x(iii) 1 - √5x(iv) 1/5x-2 +5x+7(v)(x-2)(x-4)/X(vi)1/x+1(vii)1/7 a^3 - 1/√3a^2 + 4a-7(viii) 1/2xa. Polynomials: (ii), (vi), (vii)b. Polynomials: (i), (ii), (iv), (vii)c. Polynomials: (ii), (iii), (iv), (vii)d. Polynomials: (i), (ii), (vii)

Answers

B) Therefore, the polynomials among the given options are (i), (ii), (iv),  and (vii).

A polynomial is a mathematical expression made up of constants, variables, and non-negative integer exponents.

It can have no variable at all, one variable or multiple variables.

A polynomial can't have a negative exponent. It never has division by a variable. Based on this definition, options

(iii) 1- √5x

(v) (x-2)(x-4)/x

(vi) 1/x+1, and

(viii)1/2xa

are not polynomials because they have fractional exponents or negative exponents.

Therefore, the polynomials among the given options are (i), (ii), (iv), and (vii) because they do not have fractional or negatice exponent.

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Asher is able to sell his cell phone on two different websites, A and B. In the table, the different rates are represented by the functions A(t) and B(t), where t is time in months.


t (months) 1 2 3

Website A

A(t) = 50(0. 85)t 42. 50 36. 13 30. 71

Website B

B(t) = 50 − 5t 45 40 35

In what month will the price of his phone be less with website B than website A?


a

5


b

6


c

7


d

8

Answers

As per the given functions A(x) and B(x), at the month 8th the price of his phone be less with website B than website A.

The term function in math is known as a relationship between inputs where each input is related to exactly one output.

Here we have given that Asher is able to sell his cell phone on two different websites, A and B.

And in the given table, the different rates are represented by the functions A(x) and B(x), where t is time in months.

While we looking into the given question, we have identified that there are two functions are listed as follows:

A(x) = 80(0.86)ˣ

B(x) = 80 - 8t

When we plot the function on the graph, then we get the graph like the following,

Through the graph, we have identified that on the point of (8, 23.93) and (8,16) has been the resulting point.

Therefore, the correct option is (d).

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What is the difference between functions and loops?

Answers

In programming, loops are used to keep repeating a block of code until a certain condition is satisfied.

What are functions ?A chunk of code known as a function only executes when it is invoked. Data that you supply to a function are referred to as parameters. In order to reuse code, functions are crucial because they are utilised to carry out specific actions: Use the code several times after just one definition. A variable that saves the memory address of another variable as its value is known as a pointer. The * operator is used to create a pointer variable, which points to a data type of the same type (such as int). In programming, loops are used to keep repeating a block of code until a certain condition is satisfied. Programmers can execute a statement or set of instructions repeatedly without repeating the same code by using a loop statement.

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Sophia is going to invest $820 and leave it in an account for 12 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Sophia to end up with $1,170?

Answers

Answer:2.90%

Step-by-step explanation: good luck!

i need help with this​

Answers

Answer:

lo l oh my gosh hi i havent seen u in so many years

Step-by-step explanation:

Why is geometry vocabulary important?

Answers

Geometry vocabulary assisted us in continuing to lay the groundwork for thinking critically, clearly, and profoundly. So even if you might not want to or even be able to recall the geometry vocabulary, it nonetheless had a role in your mental growth and helped you become the thoughtful adult you are today.

Who named geometry?

The father of geometry, Euclid was a brilliant mathematician. Learn more about Euclid and the history of some of the math ideas we use today to see how important they have become.

The terms "ge" and "metria," which both imply "measuring," are the origins of geometry. For more than 2000 years, the Greeks' method of approaching geometry has served as the foundation for geometry.

The study of various mathematical or actual-world forms, figures, and sizes is known as Geometry. We learn about various angles, transformations, and similarities between the forms in geometry. The point, line, and plane are the main building blocks of geometry.

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Geometry vocabulary assisted us in continuing to lay the groundwork for thinking critically, clearly, and profoundly. So even if you might not want to or even be able to recall the geometry vocabulary, it nonetheless had a role in your mental growth and helped you become the thoughtful adult you are today.

What is the role of vocabulary development in mathematics?

Understanding vocabulary has a significant role in general comprehension in many subject areas, including mathematics. There are several, tried-and-true techniques for teaching vocabulary across all subject areas. The growth of mathematical competency depends on the teaching and learning of the mathematical language.

Our continued development of the foundations required to think critically, clearly, and thoroughly was made possible by our language in geometry. Therefore, even if you might not want to or even be able to recall your geometry vocabulary, it nevertheless had a role in your mental growth and helped you become the thoughtful adult you are today.

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Use transformations to solve the inequality. Write down all the steps

Answers

Answer:  [tex]f \ge 26[/tex]

Work Shown:

[tex]-\frac{1}{2}f \le -13\\\\-2*(-\frac{1}{2}f) \ge -2*(-13)\\\\f \ge 26[/tex]

To isolate the variable f, we multiply both sides by -2.

Multiplying both sides by a negative number will flip the inequality sign.

Lin has a summer reading assignment. After reading the first 30 pages of the book, she plans to read 40 pages each day until she finishes. Lin makes the graph shown here to track how many total pages she'll read over the next few days.
After day 1, Lin reaches page 70, which matches the point (1,70) She made it on her graph. After day 4, Lin reaches page 190, which does not match the point (4,160) She made it on her graph. Lin is not sure what went wrong since she knows she followed her reading plan.

Sketch a line showing Lin's original plan on the axes.Click on the graph and select edit to complete the graph. Once done, hit save and close to see your completed graph.
What does the vertical intercept mean in this situation? How do the vertical intercepts of the two lines compare?


What does the slope mean in this situation? How do the slopes of the two lines compare?

Answers

1. The graph of Lin mistake is shown below.

2. The Vertical intercept of Lin graph is less than the correct graph.

3. The slope of Lin graph (m= 30) is less than Correct graph (m=40).

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

1. Lin started with reading 30 pages.

Then, after 1sr day she will read the 40 pages per day.

So, if number of days represented by x- coordinates and number pages pages by y- coordinate we get

On first day (0. 30)

On second day (1, 30+40)= 91. 70)

On third day (2, 70+40)= (2, 110)

On fourth day (3, 110+40) = (3, 150)

and, On fifth day (4, 150+40)= (4, 190)

Hence, Line made mistake as after 4 days he completed 190 pages.

2. The Vertical intercept of Lin graph is less than the correct graph.

3. The slope of Lin graph (m= 30) is less than Correct graph (m=40).

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please solve two answers

Answers

The function f(x) is f(x) = -2/3 x -8. The function g(x) is g(x) = -1/6 x - 2

What is a function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given that f(x) is a linear function. The value of f are f(-9) = -2 and f(-3) = -6.

Assume that, f(x) = ax + b

Now putting x = -9 in f(x) = ax + b:

f(-9) = a(-9) + b

Putting f(-9) = -2

-2 = -9a + b  ....(i)

Now putting x = -3 in f(x) = ax + b:

f(-3) = a(-3) + b

Putting f(-3) = -6

-6 = -3a + b   .....(ii)

By using the elimination method solve equation (i) and (ii).

Subtract equation (ii) from equation (i)

-9a + b = -2

-3b  + b = -6

(+)    (-)    (+)

__________

-6a = 4

Divide both sides by -6:

a = -4/6

a = -2/3

Putting a = -2/3 in equation (i)

-6 = -3(-2/3) + b

-6 = 2 + b

b = -6 - 2

b = -8

Therefore, f(x) = -2/3 x -8

Now compare f(x) = -2/3 x -8 with f(x) = ax + b

a =  -2/3 , b = -8

The y-intercept of f(x) is b = -8

The x-intercept of f(x) is b/a = -8/(-2/3) = 12

The y-intercept of g(x) is 6 more than f(x). Thus the y-intercepts of g(x) is 6 + (-8) = -2

The x-intercept of g(x) is 12.

Assume that the linear equation of g(x) is g(x) = hx + k

The y-intercept of g(x) is k = -2

The x-intercept of g(x) is k/h = 12

Putting k = -2:

-2/h = 12

h = -2/12

h = - 1/6

The linear equation of g(x) is g(x) = -1/6 x - 2

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Slope intercept form

Answers

The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept

What is standard form form?

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.

When an equation is given in this format, finding both intercepts is rather simple (x and y). Additionally, when resolving systems of two linear equations, this form is highly helpful.

It is possible to determine the x- and y-intercepts of the corresponding line when we have a linear equation in standard form.

In some circumstances, we might want to convert an equation written in a different form to standard form (for instance, while solving systems of equations).

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what is 3,000x9,000,628?!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 3,000 x 9,000,628 = 27,001,884,000 ✅

Step-by-step explanation:

It is the result of multiplication of 3,000 with 9,000,628.

PLEASE GIVE ME THE BRANLIEST PLEASXE IM BEG

Answer:

27,001,894,000

put it in a calculator

What causes dilated eyes?

Answers

Dilated eyes cause ,A traumatic injury, drug/medication side effects, or dilating eye drops after an eye checkup may all contribute to the illness.

Why, for no apparent reason, are my eyes super dilated?A physical or psychological condition, certain substances or prescriptions, or an injury could be the cause of this. The term "blown pupil" is occasionally used by doctors to describe more severe mydriasis when the pupils are fixed and dilated. This disorder may be a sign of brain damage brought on by a stroke or other physical trauma.A traumatic injury, drug/medication side effects, or dilating eye drops after an eye checkup may all contribute to the illness. While unexpected pupil dilation may be the result of a medical illness, it can also happen naturally owing to changes in light and emotional events.  

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When you "plug in" a value or idea into the place of something else that has the same value or same idea, what PROPERTY is that called?

Answers

When you "plug in" a value or idea into the place of something else that has the same value or same idea, it is called substitution property of equality.

What is Substitution?

This is referred to as an operation which means the replacement of the variables (letters) in an algebraic expression with their numerical values.

Substitution property of equality is used for various purposes such as in the substitution of values into expressions, to check solutions for equations, to solve equations that have two variables, and find solutions for systems of equations such as in the case of simultaneous equations thereby making it the correct choice.

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What is the 3rd exponent called?

Answers

The exponent of 3 in 3^3 is 3, also called "cubed" or "3 raised to the 3rd power".

Find the value of y so that the line through the pair of points has the given slope.
The line through the points (4, 3) and (-1, y) with slope 1.
y=?

Answers

The value of y so that the line has a slope of 1 is given as follows:

y = -2.

How to obtain the slope of a linear?

The slope of a linear function represents the rate of change of the output variable y relative to the input variable x.

Hence, given two points, the slope is calculated as the change in y divided by the change in x.

The points for this problem are given as follows:

(-1, y) and (4,3).

The change in y is of:

3 - y

The change in x is of:

4 - (-1) = 5.

The slope will have a value of one when:

(3 - y)/5 = 1

3 - y = 5

y - 3 = -5

y = -2.

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what is the answer to two plus two. Please help

Answers

Answer:

the answer is 4

2+2=4 bc 1+1 is 2 ×2 and that is 4 your welcome

Bryson , it has 12 cards each card is a different number from 1 to 12 he chooses a card at random. how likely is it for Bryson to choose an odd number?

Answers

Answer:

as likely as not

Step-by-step explanation:

if there are 12 cards then 6 would have even and and 6 would be odd so it is a 50/50 chance so it just as likely as it isn't

The event has an “equal chance” to happen or not, the probability will be 1/2. Therefore, option B is the correct answer.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, Bryson has 12 cards each card is a different number from 1 to 12.

Here, total number of outcomes = 12

Number of favorable outcomes = 6 (odd number of cards)

Now, probability of an event = 6/12

= 0.5

If the event has an “equal chance” to happen or not, the probability will be 1/2.

Therefore, option B is the correct answer.

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Scores on a final exam in a large class were normally distributed with a mean of 75 and a standard deviation of 8. What percent of the students scored above an 83? what happens at night but not in day? The book night chapter two 13. A distant quasar is found to be moving away from the earth at 0.80 c . A galaxy closer to the earth and along the same line of sight is moving away from us at 0.60 c .What is the recessional speed of the quasar, as a fraction of c, as measured by astronomers in the other galaxy? how does the line i am hitherto your daughter. but here's my husband. reveal a character who is strong and confident? To double the total energy of a mass oscillating at the end of a spring with amplitude A, we need to a. increase the angular frequency by square 2. b. increase the amplitude by square 2. c. increase the amplitude by 2. d. increase the angular frequency by 2. e. increase the amplitude by 4 and decrease the angular frequency by 1/2. why does he take direct actions to make himself king when he couldlet "chance...crown [him] without [his] stir"? The normal distribution tails ____________ Multiple choice question. Touch the horizontal axis. Never go up again after crossing the horizontal axis. Never touch the horizontal axis. Go up again after crossing the horizontal axis find an equation of the curve whose tangent line has a slope of given that the point (1,) is on the curve. The function f(x) satisfying f'(x) = 5x and f(-1) = -7 is f(x)= 1. It is assumed that the distribution of the number of pets per household in the US is right-skewed. We suppose the mean is around 3.5 pets with a standard deviation of 1.7 pets. (a) Since the distribution of number of pets per household is right skewed, would the majority of households in the US have a number of pets that is greater than or less than 3.5? (b) Suppose 60 households are randomly selected from Irvine, and we ask them the number of pets that they have and calculate the mean number. What is the expected value of the mean number of pets that the 60 households have? (c) Suppose 60 households are randomly selected from Irvine, and we ask them the number of pets that they have and calculate the mean number. What is the standard deviation of the mean number of pets per household in the sample of 60 households? (Round your answer to 4 decimal places) (d) Why is the standard deviation of the average number of pets per household in the sample of 60 households computed in part (c) much lower than the population standard deviation of 1.7 pets? (e) Suppose that we randomly select a household in Irvine. Could we calculate the probability that this household has more than 4 pets? If so, find this probability. If not, explain why this would not be possible. (f) Suppose 60 households are chosen randomly and their mean number of pets her household is com- puted. Based on the Central Limit Theorem (CLT), what is the approximate probability that the average number of pets in the sample of 60 households is greater than 4? (Round your answer to 3 sig figs) A circular wire loop with radius 0.10 m and resistance 50 is suspended horizontally in a magnetic field of magnitude B directed upward at an angle of 60 with the vertical, as shown above. The magnitude of the field in teslas is given as a function of time in seconds by the equation B = 4(1-0.2t). (a) Determine the magnetic flux o, through the loop as a function of time (b) Graph the magnetic flux as a function of time on the axes below. (Tom) 0.101- 1 0.05-of 8 9 10(8) (c) Determine the magnitude of the induced emf in the loop. (d) i. Determine the magnitude of the induced current in the loop ii. Show the direction of the induced current on the following diagram Vertical 160 0.10 m (e) Determine the energy dissipated in the loop from / 0 to 1 = 4 s. why is my elf bar light staying on and making noise 2. draw lewis structures and predict molecular geometries for dimethyl sulfide, (ch3)2s, and dimethyl sulfoxide, (ch3)2so. how will the csc bond angles differ? is 2(ch3)(ch2)2ch3 13o2 an single replacement or double replacement 1. What is a benefit of customizing the size of the Virtual memory?2. Why would it be beneficial to move the Virtual memory to a different physical disk than the (C:) drive? In an L-C circuit, C = 3.23 F and L = 82.0 mH . During the oscillations the maximum current in the inductor is 0.850 mA .A)What is the maximum charge on the capacitor?B)What is the magnitude of the charge on the capacitor at an instant when the current in the inductor has magnitude 0.493 mA ? heating a sample too quickly in the mp apparatus will result in The pressure difference applied across (meaning along the length of) a horizontal tube in which corn syrup is flowing would have to be increased if the tubea. was substantially longer than what it currently is.b. was held at a higher elevation for its entire length.c. was carrying a type of corn syrup with lower viscosity.d. had to carry a smaller syrup volume per second.e. had an even slightly larger cross-sectional diameter. A vaccine costs $200 per patient. Administration of the vaccine to 1,000 (so, increasing cost by $200,000) people is expected to increase the number of pain-free days for this population from 360,000 to 362,000 (2,000 more pain free days). Calculate the cost per additional pain-free day due to vaccination. Is the vaccination a good investment? When designing in a clear vase, give 2 examples of a "mechanic" used to hold the flowers in place: a)b) The Internet of Things evolution illustrates a new model of strategy called:1 Product proliferation2 Diagonal diversifation3 Competing through services4 Economies of scale