Mathematics High School

## Answers

**Answer 1**

If the three-year** present value** annuity factor is 2.673 and the two-year **present value annuity factor** is 1.833, The present value of $1 received at the end of the three years is b.$ 0.84

To solve this problem, we use the formula for the present value of an annuity: **PV = (PVAF(3 years)- PVAF(2 years) )* A**, where A is the amount received each period and PVAF is the present value annuity factor and PV is the present value.

In this case, we are given PVAF for a three-year annuity and a two-year annuity. we can use these to calculate the present value of $! received at the end of the third year as follows:

PV= (PVAF(3 years)- PVAF(2 years) )* A

PV = (2.673 - 1.833) × (1) = 0.84.

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If the three-year present value annuity factor is 2.673 and the two-year present value annuity factor is 1.833, what is the present value of $1 received at the end of the three years? A. $1.19 B. $0.84 C. $0.89 D. $0.92

## Related Questions

what proportion of persons are 38 years old or older? round to 2 decimal places.

### Answers

The **proportion **of persons who are 38 years old or older is 0.25.

Proportion is defined as when two **ratios **are equivalent, they are in proportion. It is an **equation **or statement used to depict that two ratios or **fractions **are equal. It is a **mathematical **comparison between two numbers.

**Proportion **= (number of persons 38 years old or older) / (total number of persons)

For example, if there are 100 persons and 25 of them are 38 years old or older, the proportion would be:

Proportion = 25 / 100 = 0.25

To round to 2 decimal places, we would round 0.25 to 0.25.

So the proportion of persons who are 38 years old or older is 0.25, or 25%.

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Todd works a minimum of 40 hours per week. He is not allowed, however, to work over 73 hours per week. Each hour that he works over 40 hours is considered overtime. The following equation gives his weekly pay, p(h), as a function of the number of overtime hours, h, that he works. p(h) = = $23.25h + $620

### Answers

a) The normal **hourly rate** that Todd collects is $15.50.

b) Based on the **equation** of his weekly pay, p(h) = $23.25h + $620, Todd's total pay for the week when he works 73 hours is $1,387.25.

How are the normal hourly rate and the total pay determined?

The normal **hourly rate** is computed from the overtime rate of $23.25 divided by 1.5.

The normal **hourly rate** can also be derived by dividing the total normal pay for the week by 40 hours.

The **total pay** is the sum of the total overtime pay and the normal pay.

Normal week hours = 40 hours

Total hours worked for the week = 73 hours

Overtime hours = 33 hours (73 - 40)

Normal hourly rate = $15.50 ($620/40) or($23.25/1.5)

**Overtime Pay** = $767.25 ($23.25 x 33)

Total pay:

p(h) = $23.25h + $620

p(73) = $1,387.25 ($23.25 x 33 + $620)

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Question Completion:

a) How much does he earn per hour at the normal rate?

b) What is his total pay for the week?

Refer to the diagram. x=?

### Answers

The **value** of x is 6 in the diagram.

What is Triangle?

A triangle is a three-sided polygon that **consists** of three edges and three vertices.

Two **triangles** are said to be similar if their corresponding angles are congruent and the corresponding sides are in **proportion** .

In **similar** triangles the sides are proportional.

12/8=x/4

Now apply **cross** **mulitplication**

12×4=8x

48=8x

**Divide** both sides by 8

x=6

Hence, the **value** of x is 6 in the diagram.

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A math test has 10 multiple-choice questions, each with 3 answers to choose from. If a person taking this test were to guess on every question, what is the probability that they will receive a grade of 70 or above?

### Answers

Therefore, if a **person **were to guess on every question, the probability of **receiving **a grade of 70 or above is **approximately **0.007538, or about 0.75%.

What is probability?

**Probability **is a branch of mathematics that deals with the study of random events and their likelihood of occurrence. It is used to quantify the chance or likelihood of an event happening, expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to occur. The basic idea behind probability is to study the possible outcomes of an **event **and assign probabilities to each outcome based on some assumptions or prior knowledge. Probability can be used to solve a variety of problems, from predicting the weather to analyzing the stock market, and it has **applications **in many fields, including science, engineering, finance, and statistics.

Here,

The probability of guessing the correct answer to any one multiple-choice question with three options is 1/3. Since there are 10 questions on the test, the probability of guessing all 10 correctly is [tex]\frac{1}{3} ^{10}[/tex], which is approximately 0.000005904.

To calculate the probability of receiving a grade of 70 or above, we need to determine the minimum number of correct answers required for this grade. Assuming that a score of 70 or above requires at least 7 out of 10 questions to be answered correctly, we can use the binomial distribution to calculate the probability of getting at least 7 correct answers:

P(X ≥ 7) = Σ[tex]^{10} Ck*\frac{1}{3} ^{k}*\frac{2}{3} ^{10-k} \lim_{k=7\to \ 10}[/tex]

Using a calculator or software, we can find that this probability is approximately 0.007538.

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Michaela is building her dream house and buys a rectangular plot .The plot has the following dimensions Length=3x+2,Width=x-3,construct algebraic formula that world by suitable for project 1 on OL,LM,MN

### Answers

According to the laws, a **minimum** of 3m wide space should be left in the front and back and 2m wide space on each of the other sides. The **largest area **where the house can be constructed is 374m².

The formula used in the question is: **area of rectangle**

= length × width

**Rectangular **plot ABCD, whose length is 40 m and width is 15 m.

According to the conditions given in the question, leave a space of at least 3m at the front and at the back, and leave a** space** of 2m on the other side.

∴ OD = CL = AP = BK = 3m and DN = CM = BJ = AI = 2m

So the actual **length **of the house that can be built

= EH = AD−(DO+AP)

= 40m−( 3m+) 3m)

= 34m

and the real width

of the house that can be built = EF =AB−(AI+BJ)

= 15m−(2m+2m)

= 11m

The area of the** rectangle** = length× width

The house is built = EF×EH = (3x + 2)m× (x -3)m

Solving the equation:

3x² -7x - 6

= 3x² - (9 -2)x -6

= (x -3) or (3x +2)

Ignoring the fraction , x= 3

Therefore, the **maximum** building area of a house is 374m².

*Complete Question:*

*Michaela is building her dream house and buys a rectangular plot . A rectangular plot is given for constructing a house having a measurement of 40m length and 15m in the front. According to the laws, a minimum of 3m wide space should be left in the front and back and 2m wide space on each of the other sides. Find the largest area where the house can be constructed.*

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Consider the following five-point summary for a variable that was obtained using 200 observations.Minimum Q1 Median Q3 Maximum21 41 53 65 85a-1. Interpret 01.O Eighty percent of the observations are less than 41, 20% of the observations are greater than 41.O Seventy-five percent of the observations are less than 41, 25% of the observations are greater than 41.OTwenty percent of the observations are less than 41, 80% of the observations are greater than 41.O Twenty-five percent of the observations are less than 41, 75% of the observations are greater than 41.

### Answers

For a-1 the correct option is d. **Q₁** means 25% observations are less than 41, and 75% are more than 41. For a-2, the correct option is b. **Q₃** means 75% of observations are less than 65, and 25% falls above 65. The **interquartile range** is 24.

Here the five-point summary is given.

Min Q₁ Median Q₃ Max

21 41 53 65 85

**Minimum** is the minimum value in the data, **maximum** is the maximum value. **Median** is the middle value or the 50th percentile. It is also known as second quartile. The **first** **quartile** or Q₁ is the 25th percentile. It means that the 25% of data falls below Q₁ and 75% falls above Q₁.

For the **third** **quartile** or Q₃ is the 75th percentile. 75% of values will be under this Q₃ and 25% of values falls above this value. Difference between first and third quartile is called interquartile range.

**Interquartile** **range** = 65-41 = 24

So for the Q₁ interpret, 25 % values fall under 41 and 75% values fall above 41. Option D is the correct answer. For Q₃ interpret 75% of values fall under 65 and 25% falls above 65. Option B is the correct answer.

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Complete question is provided as the image.

Can somone please help me with these

### Answers

**Answer:**

Problem 1 C.4

**Step-by-step explanation:**

x+(x+2)+(x+2-1)=12

3x+3=12

x+1=4

x=3

Luna = 3 rooms

Cora = 3+2 = 5 rooms

Noah = 12-5-3 = 4 rooms

Is the question on the left asking using binary system?

If yes then 100%? Is there more information ? I do not quite understand the question.

How many cubical blocks having volume 27cu.cmcan be fill up a box 12cm long 10cmwide and 8cm high?

### Answers

**Answer:**

Let’s break this apart.

Box= 12cm x 8cm x 6cm

Cube= 2cm x 2cm x 2cm

How many cubes fit in the box?

calculate the volume of the box. To do this, multiply the length by the width by the height (L x W x H)

12 x 8 x 6 = 576cm cubed

2. Calculate the volume of the cube. Once again we multiply L x W x H

2 x 2 x 2 = 8cm cubed

3. Next we divide th volume of the box by the volume of the cube

576 / 8 = 72 cubes

Therefore, it would take 72 cubes to fill a box.

If sine of x degrees equals four-fifths, what is the value of b?

triangle LMN in which angle M measures 90 degrees, angle L measures x degrees, LN measures 22.5 units, and NM measures 3b units

b = 4

b = 5

b = 6

b = 7

### Answers

Therefore, none of the answer choices (4, 5, 6, or 7) are correct. The value of b, to the nearest hundredth, is **approximately **27.97.

What does an angle in mathematics mean?

An **angle** is made up of two half-lines that have a common terminal. The rays, on the other hand, are alternately referred to as the **angle's** arms and legs, the latter of which serves as the** angle's** vertex.

Given that sine of x° equals four-fifths, we can use the definition of sine to set up the ratio:

sin(x) = opposite/hypotenuse

We can let the opposite side be 4 units and the hypotenuse be 5 units, since the sine of x is equal to 4/5. Then, using the Pythagorean theorem, we can solve for the adjacent side:

a² + 4² = 5²

a² + 16 = 25

a² = 9

a = 3

Now, we can use the given information about **triangle **LMN to set up another ratio using the sine function:

sin(x) = opposite/hypotenuse = NM/ML

NM/ML = 4/5

We can substitute in the given values for NM and solve for ML:

22.5/ML = 4/5

ML = 22.5 / (4/5)

ML = 22.5 x 5/4

ML = 28.125

Finally, we can use the Pythagorean theorem again to solve for b:

a²+ b² = ML²

3² + b² = 28.125²

b² = 28.125² - 3²

b² = 782.015625

b ≈ 27.97

Therefore, none of the answer choices (4, 5, 6, or 7) are correct. The value of b, to the nearest hundredth, is approximately 27.97.

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A substance has half-life 50 years. If 80 grams of the substance are present

initially, how many grams of the substance remain after 150 years?

### Answers

**Answer:**

After 150 years, **10 grams** of the substance will remain.

This is because the half-life of the substance is 50 years, so 150 years is 3 half-lives.

This means that the amount of the substance present will be reduced to one-eighth of its original amount, which is 80 divided by 8, which is 10 grams.

When angle of elevation to the sun is 45 degrees, a tree cast a shadow that is 25 meters long. What is the height of the tree?

### Answers

If **angle of elevation** to the sun is 45°, a tree cast a shadow that is 25 meters long, then the height of the tree is 25 meter.

If x is one of the acute angles in a triangle, we can find the sine of x, cosine of x, and tangent of x using **trigonometry **(see Picture). These ratios are for the opposite side to the hypotenuse, the adjacent side to the **hypotenuse**, and the opposite side to the adjacent side, respectively.

Let's use h to represent the tree's **height**. The height of the tree and the angle of elevation are related to the length of the shadow using the **tangent function**:

tan 45° = h / 25

We know that the tangent to 45° is 1, we have: 1 = h / 25

We obtain h = 25 by multiplying both sides by 25.

Hence, The tree is 25 meters tall.

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end

11. Jon needs to order soccer

balls for his soccer team.

Each ball costs $24.99. The

shipping and handling costs

are $6.50. If he budgeted

$300, how many soccer

balls can he purchase?

### Answers

He can **purchase **a maximum of **9 soccer balls** with his budget of $300.

What is soccer ball ?

A soccer ball is a ball used in the game of soccer also known as** football **in many countries.

Let's start by calculating the **total cost **of one soccer ball, including shipping and handling:

$24.99 + $6.50 = $31.49

So, each soccer ball costs $31.49.

To find out how many soccer balls Jon can purchase with his budget of $300, we can divide the total budget by the cost of each soccer ball:

$300 ÷ $31.49 = 9.52

Therefore, Since **Jon** cannot purchase a fraction of a soccer ball, he can purchase a maximum of **9 soccer balls **with his budget of $300.

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Decrease R1400 in the ratio 7:3

### Answers

**Answer:**

800

**Step-by-step explanation: took the test**

The soccer field at bianca’s school has a length of 120 yards and a width of 85 yards. If she runs across the diagonal from one corner to another, how far does she run, in yards?

### Answers

The **distance** that she runs from one **corner** of the field to another is:

147.1 **yards**.

What is the Pythagorean Theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the **hypotenuse** side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named **Perpendicular**, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have **positive** **integer** values, when **squared**, are put into an equation, also called a Pythagorean triple.

The **distance** in this problem is the diagonal of a **rectangle**, which is the hypotenuse of a** right triangle** in which the length and the width are the sides, hence:

d² = 85² + 120²

d = [tex]\sqrt{(85)^2+(120)^2}[/tex]

d = 147.1 yards.

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100 people were asked wether they walk, cycle or take the bus to the gym.

54 people said they walk

12. People said they psycho

34 people said they take the bus

Calculate the probability that a person chosen at random takes the bus to the gym, giving your answer as

A) a decimal

B) a percentage

### Answers

It's worth noting that the probabilities of walking and cycling can also be calculated in the same way using the information provided. The **probability **of walking to the gym is 54/100 = 0.54 or 54%, and the probability of cycling is 12/100 = 0.12 or 12%.

To calculate the probability that a person chosen at random takes the bus to the gym, we need to use the total number of people who were surveyed, which is 100.

The number of people who said they take the bus is 34, so we can express the probability as:

A) Probability of taking the bus = 34/100 = 0.34

B) Probability of taking the bus = 0.34 x 100% = 34%

This means that out of 100 people surveyed, there is a 34% chance that a person chosen at **random** takes the bus to the gym.

It's worth noting that the probabilities of walking and cycling can also be calculated in the same way using the information provided. The probability of walking to the gym is 54/100 = 0.54 or 54%, and the probability of cycling is 12/100 = 0.12 or 12%.

Probability is an important concept in statistics and is used to calculate the likelihood of an event occurring. In this case, we are using probability to understand the transportation habits of people who go to the gym. This information can be useful for **gym owners, **transportation planners, and policymakers to better understand how people get to the gym and to develop strategies for **promoting **active transportation options.

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Please help I’ll give brainliest!!

### Answers

(x-2)(x+1). That is the answer to the question.

Use the Triangle Angle Bisector Theorem to find the value of x.

Do not round off at any point.

### Answers

The **equation **is written as 4 / 7.5 = 3 / x. Then the value of the **variable **'x' is 5.625 units.

What is the angle bisector theorem of the triangle?

The angle **bisector **theorem of a triangle **states **that if a line (known as the angle bisector) **divides **an angle of a triangle into two **equal **angles, then it divides the opposite side of the triangle into segments proportional to the lengths of the adjacent sides.

By the theorem, the equation is given as,

AC / BC = AD / DB

4 / 7.5 = 3 / x

x = (7.5 · 3) / 4

x = 5.625 units

The equation is written as 4 / 7.5 = 3 / x. Then the value of the variable 'x' is 5.625 units.

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How many kilograms of coffee worth $9.40/kg must be mixed with coffee

worth $11/kg to give 12 kg of coffee worth $9.50/kg?

### Answers

**Answer:**

11.25 kg of coffee worth $9.40/kg must be mixed with 0.75 kg of coffee worth $11/kg to give 12 kg of coffee worth $9.50/kg.

**Step-by-step explanation:**

Let x be the amount of coffee worth $9.40/kg that needs to be mixed with coffee worth $11/kg to get 12 kg of coffee worth $9.50/kg.

We can start by setting up a system of linear equations based on the information given:

Equation 1: x + y = 12 (the total amount of coffee is 12 kg)

Equation 2: (9.4x + 11y)/12 = 9.5 (the average price of the mixed coffee is $9.50/kg)

Simplifying equation 2, we get:

9.4x + 11y = 114

We can now use substitution to solve for x. Solving equation 1 for y, we get:

y = 12 - x

Substituting this into equation 2, we get:

9.4x + 11(12 - x) = 114

Simplifying and solving for x, we get:

9.4x + 132 - 11x = 114

-1.6*x = -18

x = 11.25

Therefore, 11.25 kg of coffee worth $9.40/kg must be mixed with 0.75 kg of coffee worth $11/kg to give 12 kg of coffee worth $9.50/kg.

use ruler and compasses to construct the angel bisector of angel abc

### Answers

Below shows **steps of Construction** showing the angel bisector of** angle **ABC:

1.Construct a line segment BC.

2.Taking B as your center and some suitable radius construct an arc which meets BC at the point P.

3. Take P as center and with same radius cut off the arcs PQ and QR.

4.Now join BR and produce it to point A

∠ABC=120

5.Take P and R as centers, construct two arcs which intersect each other at point S.

6.We then join BS and produce it to point D.

Here BD is the bisector of ∠ABC

By measuring each** angle** we get to know that is it 60 degrees.

What is an angle?

In **Euclidean geometry**, an **angle** is described as the figure formed by two rays, called the sides of the **angle,** which shares a a common endpoint, called the** vertex** of the **angle. **

Attached is an image showing how to use ruler and compasses to construct the angel bisector of **angle **ABC.

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Decide if each statement below is true or false. "Explain how you know". please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :(

a. -19+7=-7+19

b. 4/5 · 1=4/5

c. 3/2 ·2/3=1

d. 5·7-5 · 1/5=34

### Answers

Therefore , the solution of the given problem of **expression **comes out to be the multiplication is done first using the sequence of operations: 57=35 and 51/5=1. 35 is then reduced by 1 to yield 34.

Define expression.

Mathematical processes such as multiplying, dividing, adding, and even deleting are necessary. If they were combined, the following statement would result: An equation, some **statistics**, and a mathematical formula Values, components, and mathematical processes like additions, subtractions,** algebraic** expressions, and divisions make up a statement of truth. Words and sentences can be analysed and ranked.

Here,

a. Accurate. The commutative property of addition says that the sum remains constant regardless of the addends' order. As a result, -19+7 is equivalent to 7-19, which is equivalent to -12+19.

b. True. Any integer is itself when multiplied by 1. As a result, 4/5 + 1 equals 4/5.

c. Accurate. One is obtained by multiplying two reciprocals. As a result, 3/2 2/3 equals 32 23, which is reduced to 1.

d. Correct. The multiplication is done first using the sequence of operations: 57=35 and 51/5=1. 35 is then reduced by 1 to yield 34.

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A support wire attached to the top of a 150 meter radio tower the wire is 190 meters long what js the measure of the angle round to the nearest degree the wire makes with the ground?

### Answers

**53 degrees** is the **measure **of the angle round to the nearest degree the wire makes with the ground.

We can use **trigonometry **to solve this problem. Let's call the angle between the ground and the wire θ.

The wire, the tower, and the ground form a **right triangle**, with the wire being the **hypotenuse**, the tower being the vertical leg, and the ground being the horizontal leg.

We know that the length of the tower is 150 meters, and the length of the wire is 190 meters. We want to find the measure of the angle θ.

Using the **trigonometric function sine**, we can write:

sin(θ) [tex]= \frac{opposite }{hypotenuse}\\[/tex]

In this case, the opposite side is the length of the tower, and the hypotenuse is the length of the wire.

So, we have:

sin(θ) = 150 / 190

Simplifying, we get:

sin(θ) = 0.78947368421

To find the value of θ, we need to take the **inverse sine** (or **arcsine**) of both sides of the equation. Using a calculator, we get:

θ ≈ 52.87 degrees

Rounding to the nearest degree, the angle the wire makes with the ground is 53 degrees.

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how many thousands are in 63,000,000? enter your answer here (do not round your answer):

### Answers

By applying the **standard form of a number exists** concept, it can be concluded that there are 63,000 thousand in 63,000,000.

The **standard form of a number exists** as a method of **writing **the number in a form that follows certain **rules**. Any number that can be noted as a decimal, between 1.0 and 10.0, **multiplied **by a **power **of 10, is said to be in standard form.

Hundreds contain 3 digits (multiply by 10²), thousands contain from 4 to 6 digits (multiply by 10³), millions contain 7 to 9 digits (multiply by 10⁶), etc.

To find the number of thousands in a larger number, simply divide the larger number by 10³.

In this case:

63,000,000 ÷ 10³ = 63,000,000 ÷ 1,000

= 63,000.

Therefore, there are 63,000 thousand in 63,000,000.

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BRAINLIEST TO FIRST ANSWER

### Answers

Once you have calculated the **angle**, you can write the **complex number **in polar form as r(cos θ + i sin θ), where r is the magnitude and θ is the angle in **radians**.

What is the angle of the complex number in polar form in the final result of the expression?

Without the second term of the **expression**, I cannot provide the final result or the angle of the complex number in polar form. However, I can explain how to find the angle of a **complex number **in polar form.

In polar form, a complex number is represented by the magnitude (r) and the angle (θ) between the positive real axis and the **vector pointing **to the complex number in the complex plane. The angle is measured in **radians **and can be calculated using the arctangent function.

To find the angle of a complex number in polar form, you can divide the imaginary part of the complex number by the real part, and then take the arctangent of the resulting quotient. If the real part is zero, the angle is either π/2 or -π/2, depending on the sign of the imaginary part.

8 (cos 5K 6 + i sin sit) ÷4 (cos wiz + i sin )

8/4 [cos(5K + 6) + i sin(5K + 6)] ÷ [cos(wiz) + i sin(wiz)]

= 2 [cos(5K + 6 - wiz) + i sin(5K + 6 - wiz)]

= 2 cos(5K - wiz + 6) + 2i sin(5K - wiz + 6)

Once you have calculated the angle, you can write the complex number in polar form as r(cos θ + i sin θ), where r is the magnitude and θ is the angle in radians.

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triangle PQR is translated to trinagle PQR what are the cordinates of Q and R

### Answers

If Q and R have coordinates of (xQ, yQ) and (xR, yR), respectively, then Q' and R' have **coordinates** of : Q' = (xQ + a, yQ + b) and R' = (xR + a, yR + b)

Assuming that "triangle PQR is translated to trinagle PQR" is a typo, and the second triangle should be denoted as **triangle** P'Q'R', we can find the coordinates of Q' and R' after the** translation.**

Let's say that the **translation vector** is (a, b), where a and b are the horizontal and vertical shifts, respectively. Then, the coordinates of Q' and R' can be found by adding (a, b) to the coordinates of Q and R, respectively.

If we assume that the **coordinates** of Q and R are (xQ, yQ) and (xR, yR), respectively, then the coordinates of Q' and R' are:

Q' = (xQ + a, yQ + b)

R' = (xR + a, yR + b)

Note that the **coordinates **of point P do not change, as it is not part of the **triangle** being translated.

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In a candy box, there are 5 times as many candies with nuts as candies without nuts. There are 12 candies in the box. How many candies with nuts are in the box?

A. 10

B. 2

C. 5

D. 7

### Answers

b because no other number in the options times 5 is less than 12

PLS HELPP!! WORTH A LOT OF POINTS

The initial principal of a bank account is $5500. The account earns 4.5% annual interest compounded

quarterly. What is the value of the account after 8 years? Round your answer to the nearest dollar. Must show work.

### Answers

**Answer:**

**Step-by-step explanation:**

ere are three scenarios, where you want to create a 97 % confidence interval for the parameter, based on n-81 observations. Match the appropriate parameter to the scenario. Scenario You measure the strength of association between number of sick days taken by employees and annual profit You assess the fluctuation in year-to-year profit of the Fortune 500 The assess average volume of oil leaked from 15 engines You assess the number of engines with oil leaks, out of 15 cars Parameter ?, the population standard deviation b. p, the population proportion c. u, the population mean d. p, the population correlation

### Answers

The appropriate **parameters** for the given scenarios are as follows: Scenario:

You measure the strength of association between number of sick days taken by employees and annual profit Parameter: p, the **population correlation** Scenario: You assess the fluctuation in year-to-year profit of the Fortune 500Parameter: σ,

the population standard deviation Scenario: You assess average volume of oil leaked from 15 engines Parameter: μ, the population mean Scenario: You assess the number of engines with oil leaks, out of 15 cars Parameter: p, the population proportion each of these scenarios, the parameter is used to create a 97% **confidence** interval based on the 81 observations.

The parameter is chosen based on the type of data and the type of analysis that is being conducted. For example, the population correlation is used when measuring the strength of **association **between two variables, while the population **standard deviation** is used when assessing the fluctuation in a variable.

The population mean is used when assessing the average of a variable, and the population proportion is used when assessing the proportion of a variable within a population.

You can read more about **population correlation **at https://brainly.com/question/25822940

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There are two numbers, x and y, such that the sum of 2x and y is 34, while the sum of x and 2y is 32. What are the numbers? Solve graphically.

### Answers

The **numbers **are x = 12 and y = 10

How to determine the numbers

From the question, we have the following parameters that can be used in our computation:

There are two **numbers**, x and yThe **sum **of 2x and y is 34The sum of x and 2y is 32.

Using the above as a guide, we have the following:

2x + y = 34

x + 2y = 32

From the **graph **of the **equations**, we have

x = 12 and y = 10

This represents the **solution**

Read more about **equations **at

https://brainly.com/question/18831322

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In eight pint container of laundry detergent cost $16.64 what is the price per cup ￼

### Answers

Answer:

1.04

Step-by-step explanation:

There are two cups in a pint, so if you have 8 pints, you will have 16 cups. Then you divide 16.64 by 16, you will get 1.04.

Hope this helps!

Calculate the sum of the additive inverse and multiplicative inverse of 2 and 3

### Answers

**Step-by-step explanation:**

additive inverse sum : -2 + (-3) = -5

multiplicative inverse sum : 1/2 + 1/3 = 5/6