Write the equation of the ellipse and find the foci with the given vertices (2,3),(2,13),(0,8),(4,8)

Answers

Answer 1

Step-by-step explanation:

Equation of ellipse depends on the points

The points that lie on the horizontal axis is (0,8) and (4,8). They have a distance of 4, therefore a radius of 2

The points that lie on the vertical axis is (2,3) and (2,13)

They have a distance of 10, therefore a radius of 5

Since the vertical axis is bigger, we have a vertical ellipse which is the equation of,

[tex] \frac{(y - k) {}^{2} }{ {a}^{2} } + \frac{(x - h) {}^{2} }{ {b}^{2} } = 1[/tex]

Where a is the major radius

b is the minor radius

(h,k) is the center

Step 1: Finding the center

The center should be the midpoint of the horizontal vertices or vertical vertices

Let's use the horizontal vertices

[tex] (\frac{(0 + 4}{2} ) = 2[/tex]

[tex]( \frac{8 + 8}{2} ) = 8[/tex]

So the center is (2,8)

Step 2: Finding the major and minor radius

We already know it , a is 5

b is 2, so we as of now, have this equation

[tex] \frac{(y -8) {}^{2} }{25} + \frac{(x - 2) {}^{2} }{4} = 1[/tex]

This is the equation of the ellisoe

Step 3: Find the foci

The foci for a vertical ellipse should lie on the same line as the same line as the major vertices and center.

The equation for an ellipse foci that is vertical are

(x,y+c) and (x,y-c)

Where C is

[tex]c = \sqrt{ {a}^{2} - {b}^{2} } [/tex]

[tex]c = \sqrt{25 - 4} [/tex]

[tex]c = \sqrt{21} [/tex]

So our foci are

,,,

[tex](2,8 + \sqrt{21} )[/tex]

and

[tex](2,8 - \sqrt{21} )[/tex]

,


Related Questions

Step 3: Apply the slope formula: m =
2-3
-1-6
m=
(1/5)
(-1/7)
(1/7)
32-).
X2 X1

Answers

The slope formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line and m is the slope of the line. To use the formula, you need to know the coordinates of two points on the line. If you have the coordinates of two points, you can substitute them into the formula to find the slope.

the probability that anthony is on time for work is 0.90. the probability that anthony takes the train to work is 0.80. given that anthony takes the train to work, the probability that he is on time is 0.95. what is the probability that anthony is on time for work and takes the train?

Answers

The probability that Anthony is on time for work and takes the train is 0.76.

What is probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

Here, we have

Given: the probability that Anthony is on time for work is 0.90. the probability that Anthony takes the train to work is 0.80. given that Anthony takes the train to work, the probability that he is on time is 0.95.

We let

A: Anthony being on time for work

B: Anthony will take the train to work

P(A) = 0.9

P(B) = 0.8

P(A/B) = 0.95

P(Anthony is on time for work and takes the train):

P(A∩B) = P(A/B). P(B)

P(A∩B) = 0.95×0.8

P(A∩B) = 0.76

Hence, the probability that Anthony is on time for work and takes the train is 0.76.

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select the most correct statement below that describes the differences between type 1 and type 2 hypervisors?

Answers

A type 1 hypervisor functions as a compact operating system and runs directly on the host's hardware, but a type 2 hypervisor operates as a software layer on operating system, similar to other computer programs.

Which is the safer hypervisor, type 1 or type 2, and why that is more superior?

Native hypervisors are a safer solution. They are not dependent on the underlying OS, unlike hosted hypervisors. If you are attacked, the bare-metal hypervisor will improve your chances (Type 1). Because of this reliance, the type 2 server loses efficiency, performance, and speed. A Type 1 hypervisor operates directly on the hardware of the host computer. These hypervisors interface directly with the host computer's CPU, RAM, and physical storage, making them typically quicker and more effective than Type 2 hypervisors. eliminate the requirement to travel through the OS layer.

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Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6} if you roll the die once, calculte the following probabilities. Write you answers in fraction form and in lowest terms (e. G. 1/4) a) the probability of getting a 6 is. B) the probability of getting an even number is. C) the probability of getting a number greater than 2 is

Answers

The probability for the sample space of a fair die rolled out {1, 2, 3, 4, 5, 6} with different conditions are :

a. Probability of getting 6 = 1/6

b. Probability of an even number on a die = 1/2

c. Probability of number more than 2 = 2/3.

Sample space is equal to {1, 2, 3, 4, 5, 6}

Number of times die rolled out = only once.

Total number of outcomes = 6

Probability = ( Number of favourable outcomes ) / ( Total outcomes )

Required probability in fraction form with lowest terms:

a. Probability of getting 6

Favourable outcomes ={ 6 }

Number of favourable outcomes = 1

Probability of getting 6  = 1 / 6

b. Probability of getting an even number

Favourable outcomes = { 2, 4, 6 }

Number of favourable outcomes = 3

Probability = 3 / 6

                  = 1 / 2

c. Probability of getting number greater than 2

Favourable outcomes = { 3, 4, 5, 6 }

Number of favourable outcomes = 4

Probability = 4 / 6

                  = 2 / 3

Therefore, the required probability as per the mentioned conditions are:

a. Probability of getting 6 = 1/6

b. Probability of even number = 1/2

c. Probability of number greater than 2 = 2/3.

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Chords AB and CD intersect at E and AE = EB. A semicircle is drawn with diameter CD. EF, perpendicular to CD, meets this semicircle at E. Prove that AE = EF.

help me pls.​

Answers

The proof that AE = EF is done from the congruency theorem of triangles and the Pythagorean identity.

How can it be proved that AE = EF?

In order to prove that AE = EF, note that angle CEF is a right angle since EF is perpendicular to the diameter CD and intersects it at E.

Since AE = EB, triangles AEB and CED are congruent (SAS theorem)

Therefore, angle EAF is congruent to angle ECF.

Also, angle EAF is a right angle, since it is inscribed in a semicircle with a diameter CD.

Therefore, triangles EAF and ECF are similar by the Angle-Angle (AA) theorem.

Since they are similar, the ratio of corresponding side lengths is the same.

Since AE = EB, we have that:

AE / EF = EC / CF

But we also know that EC = ED + DC = ED + 2EF, since CD is the diameter of the semicircle and EF meets it at E perpendicularly.

Similarly, we have CF = CD + DF

CF = 2EF + DF, where DF is the other leg of the right triangle CDF.

Substituting these expressions for EC and CF in the above equation, we get:

AE / EF = (ED + 2EF) / (2EF + DF)

Simplifying this equation, we get:

AE / EF = (ED/EF) + 2 / (2 + DF/EF)

But ED/EF = sin(DEF) and DF/EF = sin(EFD) by the definition of sine in right triangle DEF. Since the angles DEF and EFD add up to 90 degrees, their sines are complementary.

Therefore, we have that:

ED/EF = cos(EFD) and DF/EF = sin(DEF)

Substituting these expressions in the above equation, we get:

AE / EF = cos(EFD) + 2 / (2 + sin(DEF))

But cos(EFD) + 2 = sin(DEF) (Pythagorean identity).

Therefore, we have:

AE / EF = sin(DEF) / (2 + sin(DEF))

Multiplying both sides by (2 + sin(DEF)), we get:

AE = EF

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6.RP.3d-2016 (#39) Fei Yen's dog eats 8 ounces of dog food each day. Fei Yen bought a 28-pound bag of dog
food. How many 8-ounce servings are in a 28-pound bag of dog food?
A 14
B 56
C 224
D 448

Answers

There are 56 servings in a 28 pound bag of dog food.

What is Unitary Method ?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Each day Fei yen's dog eat dog food = 8 ounces

Fei yen bought a 28 pound bag of dog food.

And we know that 1 pound = 16 ounces

Then ,the food in ounces

= 28 x 16

= 448 ounces

Now, the number of 8 ounces servings are in a 28 pound bag of dog food

= 448 / 8

= 56

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2.5 pounds of meat for 2 dogs x pounds of meat for 7 dogs

Answers

There are 8.75 pounds of meat for 7 dogs

How to find the value of x?

Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another.

Since 2.5 pounds of meat for 2 dogs x pounds of meat for 7 dogs. We can write:

2.5/2 = x/7

2*x = 2.5*7

2x = 17.5

x = 17.5/2

x = 8.75

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In the country of Enigmia the postage charge for sending a letter is calculated according to the
following formula:
20 cents per 50 square centimetres of envelope area plus 32 cents per 40 grams of weight.
All measurements of area and weight are rounded up to the next multiples of 50 square
centimetres and 40 grams before calculation.
Jennifer has a letter weighing 125 grams in a 20 cm by 12 cm rectangular envelope that she
wants to send.
What will the postage charge be for Jennifer's letter?
I

Answers

Answer:

$2.12

Step-by-step explanation:

First, let's find the area of Jennifer's envelope: 20 cm x 12 cm = 240 square cm.

Since the area needs to be rounded up to the next multiple of 50 square cm, we will round up 240 square cm to 250 square cm.

Next, let's round up the weight of the letter to the next multiple of 40 grams: 125 grams rounded up to 140 grams.

Now that we have the rounded up values for both weight and area, we can use the formula to find the postage charge:

20 cents per 50 square cm x (250 square cm ÷ 50) = 100 cents

32 cents per 40 grams x (140 grams ÷ 40) = 112 cents

So the total postage charge will be 100 cents + 112 cents = 212 cents = $2.12.

Therefore, the postage charge for Jennifer's letter will be $2.12.

Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ

the sum of two numbers is 2490.if 65% of one number is equal to 85% of the other, the smallest is?

Answers

Answer:

the smallest number is 1079

Step-by-step explanation:

Let the numbers be x and y

We have two equations
x + y = 2490   (1)
0.65x = 0.85y   (2)
Take the first equation
[tex]x + y = 2490[/tex]

Move y to the right side:
[tex]x=2490-y[/tex]
Substitute for x in the second equation:
[tex]0.65x=0.85y[/tex]
[tex]0.65\left(2490-y\right)=0.85y[/tex]
[tex]1618.5-0.65y=0.85y[/tex]
Multiply throughout by 100:
[tex]161850 - 65y = 85y[/tex]
Move 161850 to the right side:
[tex]-65y=85y-161850[/tex]
Move 85y to the left side:
[tex]-65y=85y-161850[/tex]
[tex]-150y=-161850[/tex]
Divide both sides by -150
[tex]\dfrac{-150y}{-150}=\dfrac{-161850}{-150}[/tex]
[tex]y=1079[/tex]
Substitute for y in x = 2490 -y
[tex]x=2490-1079[/tex]
[tex]x=1411[/tex]
So the smaller number is 1079 and the larger number is 1411









Evaluate the expression.
[2³x (225+9)]-33
[2³ x (225 +9)] - 33 =
(Simplify your answer.)

Answers


The expression [2³ x (225 +9)] - 33 can be simplified to 2³ x 234 - 33. To evaluate this expression, we can begin by calculating 2³ x 234. 2³ is equal to 8, so 8 x 234 = 1872. Subtracting 33 from 1872 gives us a result of 1839. Therefore, the expression [2³ x (225 +9)] - 33 can be simplified to 1839.

PLEASE HELP ASAP??!!!

Andrew factored the polynomial 3x²y 6xy² as 3xy(x – 2y). Determine
if he is correct. If he is incorrect, help him fix his error. If he is correct, explain what
he did to get his answer.

Answers

Answer:

He is correct.

Step-by-step explanation:

Shown in picture.

Hope its clear.

Determine if the side lengths 9, 9, and 17 form a triangle. If it is a triangle, classify it by its sides.

equilateral triangle
It's not a triangle.
scalene triangle
isosceles triangle

Answers

Answer:

It's not a triangle

Step-by-step explanation:

What you do is add the two smallest numbers and hope it's smaller than the longer side

9 + 9 = 18

The longest side is 17, which is LESS than 18. That means it's not a triangle

Answer:

It isnt a triangle

Step-by-step explanation:

I did the quiz and this was the answer.

2. The diagram shows a wall where the two shaded parts are painted in yellow. 20 m 12 m 16 m 15 m 0.1 litre of paint is required to paint an area of 1 m². What is the volume, in litres, of yellow paint required to paint the two shaded parts?​

Answers

Answer: The two shaded parts of the wall have a combined area of 20m * 12m + 16m * 15m = 240 + 240 = 480 square meters.

Therefore, the volume of yellow paint required is 480 * 0.1 = 48 litres.

Step-by-step explanation:

A bag contains three blue counters and four yellow counters. Two counters are removed without replacement and X is the number of blue counters removed.

Answers

This is a probability problem. To find the probability of removing two blue counters, we need to calculate the number of possible outcomes of removing two blue counters out of seven counters (3 blue and 4 yellow).

The number of possible outcomes of removing two blue counters is 3C2 = 3! / (2! * (3-2)!) = 3.

So, the probability of removing two blue counters is 3/7C2 = 3/21.

To find the probability of X being equal to 2, we need to calculate the probability of removing two blue counters.

Therefore, the probability of X being equal to 2 is 3/21.

Harry is a Wizard. He brought 4 new cloaks and 2 wands. Each cloak and each wand is the same price. If he paid Hogwarts gift-shop $498, how much does each wand cost?

Answers

Each wand costs $83, found by dividing the total cost of $498 by the total number of items, 6 (4 cloaks and 2 wands), resulting in $498 / 6 = $83.

To solve for the cost of each wand, we first need to determine the cost of each item (cloak and wand) that Harry bought. We can represent the cost of each item as "x". Since Harry bought 4 cloaks, the total cost of the cloaks is 4 * x. Similarly, since he bought 2 wands, the total cost of the wands is 2 * x.

The total cost of the cloaks and wands that Harry bought was $498, so we can write the equation: 4 * x + 2 * x = $498. This equation represents the total cost of the 4 cloaks plus the 2 wands, which must equal $498.

Next, we can simplify the equation by combining like terms: 4 * x + 2 * x = 6 * x = $498.

Finally, we can find the cost of each item by dividing both sides of the equation by 6: x = $498 / 6 = $83.

Therefore, each wand costs $83.

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Can Someone tell me the answer for this one pleas:
Determine which integers in the set S:{−4, 4, 6, 21} make the inequality 3(j − 5) > 3(7 − 2j) true.


S:{6, 21}

S:{4, 21}

S:{−4, 6}

S:{−4, 4}

Answers

The integers 6,21 from the set will make the inequality 3(j-5)>3(7-2j) true.

An inequality response is defined?

An expression in mathematics where the sides are not equal is referred to as being inequal. A comparison of any two values, known as an inequality, demonstrates that one value is less than, larger than, or equal to the value on the opposite side of the equation.

The given inequality is 3(j-5)>3(7-2j). The given set is S:{−4, 4, 6, 21}.

First, we will simplify the given inequality.

3(j-5)>3(7-2j)

⇒j-5>7-2j

⇒3j>12

⇒j>4

It means that numbers greater than 4 will satisfy the given inequality.

Numbers greater than 4 in the given set are 6,21.

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Yousuff deposits $2,500 into a savings account that has a simple interest rate of 3.8%.

5A) How much interest will Yousuff make in one year? Show your work!


5B) How much interest will Yousuff make after 8 years? Show your work!


5C) After 8 years, how much money will Yousuff have in his account? Remember to include both the original principal money AND the interest she made.

Answers

Step-by-step explanation:

Principal = $2,500

Rate = 3.8%

5A). The interest Yousuff make in one year

Therefore Time = 1 year.

Simple interest

[tex] = \frac{pincipal \times time \times rate}{100 \\ } \\ = \frac{2500 \times 1 \times 3.8}{100} \\ = 25 \times 1 \times 3.8 \\ = 95 .[/tex]

Therefore the interest Yousuff make in one year = $95.

5B). Interest Yousuff make in after 8 years

the time = 8 years

the interest

[tex] = \frac{pincipal \times time \times rate}{100} \\ = \frac{2500 \times 8 \times 3.8}{100} \\ = 25 \times 8 \times 3.8 \\ = 200 \times 3.8 \\ = 760 [/tex]

Therefore the interest Yousuff make after 8 years = $760.

5C). Principal - interest that Yousuff made after 8 years.

$2500 - $ 760

= $ 1,740.

5. Lucy rode her bike around the block 4 times for a total of 1 mile yesterday. Today she wants to ride her bike 3_ 4 of a mile. How many times will she need to ride her bike around the block

Answers

Answer:

3

Step-by-step explanation:

1 loop around the block is 1/4 of a mile. multiply both sides by three. 3 loops is 3/4 of a mile.

What value of x makes the equation true
3(2x-5+8x)=5(2x+5)

Answers

The value of x that makes the equation 3(2x - 5 + 8x) = 5(2x + 5) true is 2

How to evaluate for the value of x for the equation

We shall evaluate for the value of x to know what makes the algebraic equation true as follows;

3(2x - 5 + 8x) = 5(2x + 5)

3(10x - 5) = 5(2x + 5)

30x - 15 = 10x + 25 {expand bracket}

30x - 10x = 25 + 15 {collect like terms}

20x = 40

x = 40/20 {divide through by 20}

x = 2

Therefore, the value of x that makes the equation 3(2x - 5 + 8x) = 5(2x + 5) true is 2.

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1000m divide by 100n written in form of 10z

Answers

The expression 1000m ÷ 100n in the form of 10z is 10m/10n, which simplifies to m/10n.

What is an expression?

In mathematics, an expression is a combination of one or more numbers, variables, and operations such as addition, subtraction, multiplication, division, exponentiation, and so on.

We can simplify the expression 1000m ÷ 100n as follows:

1000m ÷ 100n = (1000 ÷ 100) × (m ÷ n)

= 10 × (m ÷ n)

= 10m/n

To write this in the form of 10z, we need to find a value of z that makes 10z equal to 10m/n. Since 10z is equal to 10 times z, we can set 10 times z equal to 10m/n and solve for z as follows:

10z = 10m/n

Dividing both sides by 10, we get:

z = m/10n

Therefore, the expression 1000m ÷ 100n in the form of 10z is 10m/10n, which simplifies to m/10n.

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Becky is making fruit salad with strawberries and cherries. She has 1.84 pounds of strawberries and 2.62 pounds of cherries. She mixes the two fruits together and then scoops out 0.25 pounds of fruit salad for each serving. What is the greatest number of 0.25 pound servings Becky can make?

Answers

The greatest number of 0.25 pound servings Becky can make is 18.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Becky has 1.84 pounds of strawberries and 2.62 pounds of cherries.

Now, number of pounds of salads

= 1.84+2.62

= 4.46 pounds

Becky mixes the two fruits together and then scoops out 0.25 pounds of fruit salad for each serving.

So, the number of servings = 4.46/0.25

= 17.84

≈ 18

Therefore, the greatest number of servings is 18.

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Rob and Gina bought a decorative side table to put against their wall The table is a regular hexagon

Answers

Regular hexagon is a closed shape polygon having six equal sides and six equal angles.

Regular Hexagon

A regular hexagon is defined as a closed 2D shape made up of six equal sides and six equal angles.

Each angle of the regular hexagon measures 120 degrees.

A hexagon has six angles and the sum of all six interior angles is 720 degrees. In a regular hexagon, each interior angle measures 120 degrees.

Polygon

A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges. The points where two sides meet are the vertices of a polygon.

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A second hand car dealer bought a car for R85 000. The costs related to the transaction amount R250. He sells the car for R93 000. Calculate the profit he made on the deal

Answers

The profit made on the transaction by the dealer was Rs. 7,750.

To calculate the profit made by the second hand car dealer, you can subtract the cost of buying the car and the transaction costs from the selling price.

Profit = Selling Price - Cost of Car - Transaction Costs

Profit = 93,000 - 85,000 - 250

Profit = 7,750

So the dealer made a profit of Rs. 7,750 on the transaction.

Profit and Loss (P&L) is a statement that summarizes a company's revenues and expenses over a specific period of time, typically a quarter or a year. The purpose of a P&L statement is to show a company's ability to generate revenue, as well as the cost of doing so. The difference between a company's total revenue and total expenses is referred to as net profit or net loss

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Dequan is training for a marathon. he runs 20 miles every 4 days. write an equation to represent to the total number of miles he runs in x days.

Answers

Step-by-step explanation:

here, 4 days = 20 miles

so, 1 day = 5 miles

hence, x miles = 5x miles

Assume d varies directly as t and d = 180 when t = 3. Find t when d = 390.

Answers

The value of t is 6.5. The value of the constant is 60

What varies directly?

The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation. For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation if b is directly proportional to a. (where k is a constant).

Given that  d varies directly as t.

The relation between d and t is

d = kt.

Given that d = 180 when t = 3.

Putting d = 180 and t = 3 in d = kt

180 = 3k

Divide both sides by 3:

k = 180/3

k = 60

Putting k = 60  in d = kt:

d = 60t

Now putting d = 390 in d = 60t:

390 = 60t

60t = 390

Divide both sides by 60

t = 6.5

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What is the solution to the following system of equations
4x+2y=6
X-y=3

Answers

Answer:

The solution of the equation 4x + 2y = 6 and x − y = 3 will be D. (2, –1)

Step-by-step explanation:

4x + 2y = 6 ....… (1)

x − y = 3 …..... (2)

Example, for equation 2 is:

x - y = 3

x = 3 + y

Put in equation 1:

4(y + 3) + 2y = 6

4y + 12 + 2y = 6

6y = -6

y = -6/6

y = -1

We have the value of y, then the value of x will be:

x = 3 + y

= 3 + (-1)

= 3 - 1

= 2

So, the solution of the equation 4x + 2y = 6 and x − y = 3 will be (2, –1)

tyler drove 138miles, and brittney drove 116miles. what is the ratio of tyler's miles to brittney's miles? write your answer as a simplified fraction.

Answers

Tyler drove 138miles, and brittney drove 116miles, the ratio of tyler's miles to brittney's miles is 69/58.

The ratio of Tyler's miles to Brittney's miles can be found by dividing Tyler's miles by Brittney's miles.

Ratio of Tyler's miles to Brittney's miles = Tyler's miles / Brittney's miles

Ratio of Tyler's miles to Brittney's miles = 138 miles / 116 miles

Simplifying the ratio by dividing both numbers by their greatest common factor, which is 2, we get:

Hence,

Ratio of Tyler's miles to Brittney's miles = 69/58

This means that for every 69 miles Tyler drove, Brittney drove 58 miles.

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Need step-by-step explanation. Will mark the brainliest. Basically explained this equation as if i am a 5 year old child. (with step of course)

Answers

attached is solution. please excuse handwriting.

break up summation into two smaller summation,

then use summation formula for E (x)

Anita puts $300.00 into an account to use for school expenses. The account earns 2%
interest, compounded continuously. How much will be in the account after 8 years?
Use the formula A = Pet, where A is the balance (final amount), P is the principal (starting
amount), e is the base of natural logarithms (2.71828), r is the interest rate expressed as a
decimal, and it is the time in years.
Round your answer to the nearest cent.

Answers

The amount in the account after 8 years will be $352.05.

What is Compound Interest?

Compound interest is when you receive interest on both your interest income and your savings.

Given:

P = $300

R= 2%

T = 8 years

We have to use the function

A = P[tex]e^{rt[/tex]

A = 300.00[tex](2.71828)^{(0.02)(8)[/tex]

A = $352.05

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weinstein, mcdermott, and roediger (2010) conducted an experiment to evaluate the effectiveness of different study strategies. one part of the study asked students to prepare for a test by reading a passage. in one condition, students generated and answered questions after reading the passage. in a second condition, students simply read the passage a second time. all students were then given a test on the passage material and the researchers recorded the number of correct answers. a. identify the dependent variable for this study. b. is the dependent variable discrete or continuous?

Answers

a. The dependent variable for this study is the number of correct answers on the test given.

b. The dependent variable in this study is a discrete variable.

a. The dependent variable for this study is the number of correct answers on the test given to the students after they prepared for the test by either generating and answering questions or reading the passage a second time.

b. The dependent variable in this study is a discrete variable because the number of correct answers can only take on whole numbers (e.g., 0, 1, 2, 3, etc.). It is not possible to have fractional or continuous values of correct answers on the test.

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