Mathematics High School

## Answers

**Answer 1**

The correct answer is option c A **stem **plot of the data would be **skewed** **right**.

A **median **that is larger than the **mean **in a set of exam scores suggests that the data is **skewed **to the right (or positively skewed), meaning that there are more scores at the high end of the distribution. This results in a longer tail on the right side of the distribution, which is often seen in data that contains outliers or extreme values. In this case, a stem plot of the data would be skewed to the right, showing a long tail on the right side of the **plot**.

**Option a **(a **stem **plot of the data would be symmetric) is incorrect because a symmetric distribution would have a **median **and mean that are equal, which is not the case here.

**Option b **(a stem plot of the data would be skewed left) is incorrect because a skewed left **distribution **would have a median that is smaller than the mean, which is not the case here.

**Option d** (the data set must be so large that it would be better to draw a **histogram **rather than a stem plot) is **incorrect **because the size of the data set does not affect the skewness of the data or the choice of a plot to use.

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## Related Questions

[tex](16^3/2)^1/2[/tex]

### Answers

I believe the answer is 1024, hope this helped!

What operation do we use to find area?

### Answers

**Answer:**

The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.

**Step-by-step explanation:**

**Answer: **Area, A, is x times y.

**Step-by-step explanation:**

The area is a measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.

What is the helping verb in the independent clause?

### Answers

**Answer: A helping verb is a verb that combines with a main verb to form a verb phrase**

Hope this helps :)

**Step-by-step explanation:**

Find an ordered pair (x,y) that is a solution to the equation. 3x-y=7

### Answers

The **ordered pair **that is a **solution **to the equation is** (0,-7).**

**What is an ordered pair?**

An **ordered pair **is made up of the ordinate(**y** coordinate) and the abscissa (**x** coordinate), with two values given in parenthesis in a certain **sequence**.

In order to understand a point visually, it can be helpful to **position **it on the Cartesian plane. An **ordered pair** in mathematics is a set of two things. The **order **of the objects in the pair matters because, unless a = b, the **ordered pair **differs from the other **ordered pair**.

Given equation is, 3x-y = 7

We can find an **ordered pair **by substituting the value of **x** from the **domain **and finding the value of **y**, which is the **range**.

Since the equation can have **infinite **solutions, the **domain **is all real numbers.

Take x = 0

y = 3x - 7 = 3*0 - 7 = -7

While writing the **ordered pair**, we first write the **x **value followed by the **y **value.

Therefore the **ordered pair** for the equation is **(0,-7).**

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Luna is buying food for a dinner party. Shrimp costs $8.50 a pound. She needs to spend less than $35 total. Write and solve an inequality to represent the situation. How many pounds of shrimp she can buy? Round to the nearest whole pound.

### Answers

The **inequality** that represents the situation is 8.50x < 35 and the pounds of shrimp Luna can buy is 4.

What is inequality?

**Inequality** is a statement that two or more **mathematical expressions** are unequal.

**Inequalities** are represented as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), and not equal to (≠).

The cost price of shrimp per pound = $8.50

The total spending budget = $35

Let the number of pounds of shrimp Luna can buy = x

Inequality:

8.50x < 35

x = 4

Thus, the total amount Luna can spend on shrimp is $34 (4 x $8.50), which is less than $35.

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Please help I gotta get this done in a couple of minuates please anybody willing to help me

### Answers

**Answer:**

**Step-by-step explanation:chips**

The measure of sides of triangle with given points are

QR = 3 (square root of 5) unit

RT = 9 (square root of 2) unit

TQ = (square root of 13) unit

The coordinate of Triangle QRT as :

Q = ( - 2 , - 1 )

R = ( 1 , 5 )

T = ( - 8 , - 4 )

Now , The Distance between the points can be measure as :

QR = {square root of (x^2 - x^1)^2+(y^2-y^1)^2}

Or, QR = (square root of 45) = 3(square root of 5) unit

Likewise,

RT = {square root of (x^2 - x^1)^2+(y^2-y^1)^2}

Or, RT = (square root of 162) = 9 (square root of 2) unit

And

TQ = {square root of (x^2 - x^1)^2+(y^2-y^1)^2}

Or, TQ = (square root of 13) unit

Thus, the measure of sides of triangle with given points are

QR = 3 (square root of 5) unit

RT = 9 (square root of 2) unit

TQ = (square root of 13) unit

I hope this helps! o(〃＾▽＾〃)o

someone help me please asap

### Answers

**Answer:**

**Step-by-step explanation:**

Here u can see i have plotted the points and it is moving and an increasing rate to a maximum meaning that as the graph move to the right it moves higher up at a faster and faster rate

linear means straight so not linear

exponential means it increases rapadly

u take an educated guess to what the answer is and type it in the comments

if u read all of this u will certainly know the answer

pls help i will give brainliest to the quickest correct answer

graph the line with slope of 7 and y-intercept of -6

### Answers

draw a line that goes up 7 and to the right one that touches (0,-6)

Convert 1 oz to tbsp

### Answers

1 oz is approximately **2 tablespoons.**

To convert** ounce (oz) to tablespoons (tbsp)**, you can use the **conversion factor** 1 oz = 2 tablespoons. To convert 1 oz to tablespoons, you would multiply 1 by 2, which gives you 2 tablespoons. The process of converting 1 oz to tbsp is simple, one needs to multiply it by 2. The result is 2 tablespoons.

The ounce and tablespoon are both **units of measurement** for volume, but they are **not interchangeable.** The ounce is commonly used in the United States, while the tablespoon is used in most other countries.

It's important to keep in mind that when converting between different units of measurements, one should be careful as the** conversion factors **are different for different** units of measurements.**

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4. Genry worked for 6 consecutive days and earned an average wage of $144 per day as a freelance handyman. During the first 3 days, Genry averaged $132 per day. His average earned per day for the next 2 days was $163. How much did he earn on the last day?

### Answers

The **last **day's wage found using the given **average **wages of Genry is **$142.**

**What is meant by average in mathematics?**

The definition of the **average **is the mean value, which is the **ratio **of the **sum **of the values in a given set to the **total **number of values in the set.

Given,

The **average **wage for 6 days = $144

So the **total **wage received in 6 days = 144 * 6 =$864

The **average **wage for the first 3 days = $132 per day

**Total **wage earned in first 3 days = 3 * 132 = $396

The **average **wage for the next 2 days = $163 per day

**Total **wage earned in next 2 days = 2 * 163 = $326

Therefore the **wage **earned by Genry on the **last **day = 864 - ( 396+326) = **$142**

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What is 1.96 m in feet ?

### Answers

1.96 meters is equal to **6.43 feet.**

To convert **meters to feet**, you can use the **conversion factor** of

1 meter = 3.28084 feet. To convert 1.96 meters to feet, you would multiply 1.96 by 3.28084. This gives you the result of 6.43 feet. It's important to note that this **conversion **is an approximation and may not be entirely accurate.

Additionally, there are variations in the definition of a foot.

For example, the international foot is defined as exactly 0.3048 meters, which is roughly equal to 3.28083333 feet. So, depending on the context, the **exact conversion** of 1.96 m to feet may vary slightly. It's always best to double check the conversion with a** reliable source **or use a conversion tool if precision is important.

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How many inches in 23/32 cm?

### Answers

23/32 cm is equivalent to **9/32 inches **when multiplied by 0.393701 (the **conversion factor **from cm to inches).

The **conversion factor** from centimeters to inches is 1 cm = 0.393701 in. To convert 23/32 cm to inches, simply multiply the number of centimeters by the **conversion factor**. The conversion formula can be expressed as: 23/32 cm x 0.393701 in/cm = 9/32 in.

It's important to note that the** conversion factor **is precise to six decimal places, but for most practical purposes, it is usually rounded to 0.393701.

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A. Determine whether the functions f(x)=−x and g(x)=−37x+67 intersect at x=2.(1 point)

1. Yes, because f(x)=g(x) when x=2.

2. No, because f(x)≠g(x) when x=2.

3. No, because f(x)=g(x)when x=2.

4. Yes, because f(x)≠g(x) when x=2.

B. Determine whether the following statement is true or false.

Given functions f(x) and g(x), the x-coordinate of the point of intersection of two functions is a solution of the equation f(x)=g(x).

1. The statement is false because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a false statement results.

2. The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a false statement results.

3. The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a true statement results.

4. The statement is false because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a true statement results.

### Answers

**Answer:c**

**Step-by-step explanation:**

in 2009 the average weekly wage of men exceeded that of a woman by $162. the sum of their average wages equaled $1476. write and solve a system of equations to determine the average wage of men and of women in 2009

### Answers

**Answer:**

2952

$162×7=1476

$1476×2=2952

How to convert 160 cm to inches?

### Answers

**Answer:**

62.9921

**Step-by-step explanation:**

1 cm is equal to 0.393701, so 160 cm = 160 × 0.393701 = 62.9921 **inches**, in unit of **measurement**.

What is unit of **measurement**?

A **unit of measurement** is a specific magnitude of a quantity that has been established in advance, is recognised by law or custom, and is used as a benchmark for measuring other quantities of the same kind. Any extra quantity of that type can be expressed as a multiple of the measurement unit.

Length is an example of a **physical quantity**. The letter "m" stands for the unit of measurement known as the metre, which designates a specific, predetermined length. For instance, when the term "10 metres" (or 10 m) is used, it refers to a length that is 10 times the precise, predetermined length known as "**metre**."

From ancient times to the present, **human endeavour **has depended on the definition, acceptance, and practical application of units of measurement.

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Amazon is offering a $1200 hiring bonus and they will pay $16 per hour for 25 hours per week. UPS is offering a $50 weekly bonus for working on Sunday and they will pay $18 per hour for 30 hours per week. Assuming you will earn the bonus from either place, how many weeks will you have to work to make the same total pay? Round your answer to the nearest whole number.

### Answers

Based on equated **mathematical expressions**, it will take approximately 6 weeks to earn the same pay at Amazon or UPS.

What are mathematical expressions?

A **mathematical expression** combines variables, constants or numbers, and arithmetic operators.

**Mathematical expressions** are like phrases in English because they do not make complete sense as they lack the **equation** or **inequality** symbols.

Amazon:

Amazon's hiring bonus (fixed) = $1,200

Hourly pay = $16

The number of work hours per week = 25 hours

Amozon's total pay per week = $1,200 + $16(25)

= 1,200 + 400

UPS:

UPS's weekly bonus for Sunday work = $50

Hourly pay = $18

The number of work hours per week = 30 hours

UPS's total pay per week = $50 + $18(30)

= 590

Let the number of weeks = x

Expressions:

The total pay for x weeks at Amazon = 1,200 + 400x ... Expression 1

The total pay for x weeks at UPS = 590x ... Expression 2

For the total pay at both companies to be equal, **Expression** 1 will be equal to **Expression** 2:

1,200 + 400x = 590x

590x = 1,200 + 400x

190x = 1,200

x = 6 weeks

Thus, you will need to work 6 weeks to make the same pay at Amazon or UPS.

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Identify the real and imaginary parts of the following complex number.

(12-i) (12+i)

The real part:

A/

.

The imaginary part:

A/

### Answers

The real part of the **complex number** is 145 and no **imaginary **part

How to identify the real and imaginary parts?

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

**Complex **number = (12-i) (12+i)

For a complex **number **represented as

a + bi

We have

**Real **= a

Imaginary = bi

Open the bracket

So, we have

(12-i) (12+i) = 144 + 1

Evaluate

(12-i) (12+i) = 145

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

**Real **= 145

Imaginary = none

Hence, the **real **part is 145 and no **imaginary **part

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Find the slope represented in the table below.

### Answers

7/-5because y= y2-y1/x2-x1 in this case 55-20 which is 35 and -10-5 which is -15 and if you divide those both by 5 you get 7/-5

Answer: -7

Step-by-step explanation: Remember slope equals y2-y1 divided by x2-x1. 20-55 divided by -5+10 => -35/5 => -7. You can also do this with any other two points in the table. You will still end up with -7.

15. REINFORCE Suppose a dune buggy rental company charges $24.95 per day plus 15 cents

per mile for each mile you drive.

Page 9 of 13

a. Write a function rule that models the relationship between number of miles driven

and total rental charge per day.

b. Write an equation you could use to find how many miles you drove if the total rental

charge for one day was $42.50.

c. Solve the equation you wrote in part b using algebraic operations, and verify your

solution using either a table or a graph.

### Answers

1. The **function** rule that models the relationship between number of **miles** driven and total rental charge per day will be c = 24.95 + 0.15m

2. The **equation** that you could use to find how many miles you drove if the total **rental**

charge for one day was $42.50 is 24.95 + 0.15m = 42.50

3. The number of **miles** will be 117 miles.

How to calculate the equation?

From the information, the **dune** buggy rental company charges $24.95 per day plus 15 cents

per mile for each mile you drive.

From the **equation** given as:

24.95 + 0.15m = 42.50

Collect the like terms

0.15m = 42.50 - 24.95

0.15m = 17.55

Divide

m = 17.55 / 0.15

m = 117

The miles is 117 miles.

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Please can someone help me

### Answers

**Answer: **

**For number 2, a = 67.8, and b = 54.5**

**For number 3, m = 135/19, and n = -5/19**

**For number 4, u = 2.7, and v = -11.9**

**Step-by-step explanation:**

Every week Bob checks on his chickens and adds more grain to a hopper feeding them. The first week it is empty and he adds 218 lbs. ham The next week he finds 217 lbs grain remaining. He adds 3 lbs to the hopper. ham The next week he finds 218 lbs grain remaining. He adds 9 lbs to the hopper. ham The next week he finds 223 lbs grain remaining. He adds 16 lbs to the hopper. ham The next week he finds 231 lbs grain remaining. He adds 26 lbs to the hopper. How much grain will he find remaining next week?

### Answers

**Answer:**

**246???????**

**Step-by-step explanation:**

every time the grain goes down it doubles,

218 - 217 = 1

217 + 3 = 220

220 - 218 = 2

218 + 9 = 227

227 - 223 = 4

223 + 16 = 239

239 - 231 = 8

so following that pattern

231 + 26 = 257

257 - 16 = 241

The answer is 241

Which 3 functions have symmetry about the origin?

### Answers

**Answer:**

y = x, y = x^3, y = x^5

**Step-by-step explanation:**

For it to be symmetrical over the origin, you need to replace x with -x and y with -y AND make sure it equals to the original function. So for example, take y = x^5. Replace the x and y with -c and -y respectively:

-y = -x^5

Both are still negative so if you divide by -1, it is just the original function so it is symmetrical over origin.

If you don't understand something, comment and I will try my best to answer it

How much is 30 grams in ounces?

### Answers

30 grams is equal to **1.0551156 ounces**. both are **unit of measurement** of weight.

converting between **metric units **(such as grams or meters) and **imperial units** (such as ounces or feet) is a common type of unit conversion. The process of **unit conversion** involves using a** conversion factor**, which is a ratio that relates the units being converted.

The **conversion factor **from grams to ounces is 1 gram = 0.035274 ounces. To convert 30 grams to ounces, simply multiply the number of grams by the conversion factor.

The **conversion formula** can be expressed as: 30 grams x 0.035274 ounces/gram = 1.0551156 ounces. It's important to note that the **conversion factor **is precise to six decimal places, but for most practical purposes, it is usually rounded to 0.035274.

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A doll-making company has been able to streamline their production process by having three jobs: assembling the doll, putting clothing on the doll, and putting the doll in the box. The table below illustrates the mean times (in seconds) and standard deviation for each task. Mean Standard Deviation

Assembly 36 2.5

Clothing 22 1.8

Boxing 8 0.75

The distribution of times for each step are approximately normal and independent. What are the mean and standard deviation of the total time (in seconds) to complete all three tasks? A. µx = 60.6 σx= 3.17 B. µx= 60.6 σx== 5.05

C. µx = 66 σx = 0.88 D. µx= 66 σx= 3.17

E. µx = 66 σx = 5.05

### Answers

The **mean **and **standard deviation** of the total time are µx = 66 and σx = 3.17, so the correct answer is (D) µx= 66 σx= 3.17.

To find this:

The total time to complete all three tasks is the **sum **of the time taken for each task. The **mean **time to complete all three tasks (µx) can be calculated by adding the **mean **time for each task: µx = 36 + 22 + 8 = 66. The **standard deviation** (σx) of the total time can be calculated using the standard deviation of each task and the **square root** of the number of tasks (n).

Using the formula: [tex]\sigma x = \frac{\sqrt{\sigma1^2 + \sigma2^2 + \sigma3^2}}{\sqrt n}[/tex],

where σ1, σ2, σ3 are the **standard deviations** of each task, n = 3.

Plugging in the values, we get

[tex]\sigma x = \sqrt(2.5^2 + 1.8^2 + 0.75^2)/\sqrt3 \\= \sqrt{6.25 + 3.24 + 0.5625}/\sqrt3 \\= \sqrt{10.0525}/\sqrt3 = 3.17[/tex]

Hence, the **mean **and standard deviation of the total time are µx = 66 and σx = 3.17, so the correct answer is (D) µx= 66 σx= 3.17.

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Special right triangle

### Answers

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the **triangle**, other angles will be 90

What is triangle?

In a right triangle, the **hypotenuse **is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given **angle**. We use special words to describe the sides of right triangles.

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base. Right Triangle. A right triangle is a triangle with one right angle (one angle equal to 90°). The side opposite the right angle (the longest side) is called the hypotenuse. The remaining two sides (the sides that intersect to determine the right angle) are called the legs of the right triangle.

other angles will be

1. 180-60-30 = 90

2. 180-45-45 = 90

3. 180-45-45= 90

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The height of mercury in a glass cylinder is 21 cm.

If the base has a radius of 1.5 cm, calculate the total surface area of the glass cylinder

in contact with mercury.

### Answers

**Answer: **70.07 square cm.

**Step-by-step explanation:**

First, let's look at the curved part of the cylinder. It's similar to wrapping a present, but instead of wrapping paper, we're measuring the diameter (2 * pi * radius) and height (21 cm). This results in a surface area of 63 pi square cm.

Let's take a look at the circular base next. It's similar to a pizza, and we're calculating the size of the "slice" by multiplying pi (3.14), by the radius of the circle squared (1.5 * 1.5). This offers us a 7.07 square cm area.

Finally, we combine these two components to get the overall surface area, and voilà! 70.07 square cm = 63 pi square cm + 7.07 square cm. The riddle has been solved! The glass cylinder in contact with mercury has a total surface area of 70.07 square cm.

What is 2x8 actual size?

### Answers

2x8 **actual size **is 1 1/2 inches x 7 1/4 inches.

What is actual size?

**Actual Size **is the actual size of your **filter**. You would obtain the filter's actual size if you measured it. If this size is mentioned on the air filter, it is typically written in smaller print below or next to the nominal size. 15.75 x 19 is an illustration of actual size.

The term "actual size" refers to the** exact dimensions **of your air filter as well as the actual length, width, and depth (**thickness**). Actual size frequently has a fraction number within the dimensions, for instance: 19 1/2" x 19 1/2" x 3/4.

Softwood boards are frequently marketed as "26" in retail hardware stores. The thickness and width are nominal. The advertised piece of lumber is advertised as being "26," but it is actually "1-1/25-1/2" in size. When referring to the nominal size, the term describes the board's initial condition prior to **secondary processes**.

= 2 x 8 dimensions = 1 1/2 x 7 1/4

[tex]$\Rightarrow \frac{2}{8} =\frac{3/2}{24/4}[/tex]

[tex]$\Rightarrow \frac{1}{4} =\frac{3}{12}[/tex]

[tex]$\Rightarrow \frac{1}{4} =\frac{1}{4}[/tex]

Thus, 2x8 **actual size **is 1 1/2 inches x 7 1/4 inches.

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Without using a calculator, estimate the value of the expression below. Show your work and explain how you found your answer.

2-3√5

### Answers

We get - 4.69 as a **final** resultant from the **given **expression.

**What is Algebraic expression ?**

Algebraic expression can be defined as the **combination **of variables and constants.

Given **expression **,

**2-3√5**

we know that **√5 = 2.23**

**So, **

by **substituting **the given value

we get,

= 2 - 3 * 2.23

so the value of 3 * 2.23 = 6.69

By substituting the given value

we get,

= 2 - 6.69

**= -4.69**

So the value we get = -4.69

Therefore, We get **- 4.69 **as a final resultant from the given expression.

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What is the result of dividing 2x³ + 6x² + 6x + 2 by x + 1?

O 2x² + 6x + 2

O2x² + 4x + 2

O 2x² + +6x + 12

O2x² + 4x + 10

### Answers

The **quotient **of the **division **is (b) 2x² + 4x + 2

How to determine the result of the division

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

dividing 2x³ + 6x² + 6x + 2 by x + 1

Using the **long division method **of quotient, we have

x + 1 | 2x³ + 6x² + 6x + 2

The **division **steps are as follows

2x² + 4x + 2

x + 1 |2x³ + 6x² + 6x + 2

2x³ + 2x²

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

4x² + 6x + 2

4x² + 4x

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

2x + 2

2x + 2

Hence, the **quotient **is 2x² + 4x + 2

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Please answer this question????

### Answers

The **solution** of the **system of linear equations** is -8<x<3.

**What is the system of linear equations?**

A **system of linear equations **is a set of two or more **linear equations **involving the **same variables**. Here, **linear equations** can be defined as the **equations **of the first order, i.e., the **highest** power of the **variable** is 1. **Linear equations** can have one **variable**, two **variables**, or **three** **variables**.

The first inequality can be solved by isolating x:

2x-4 <= -12

2x <= -16

x <= -8

The second inequality can be solved by isolating x:

2x + 3 > 9

2x > 6

x > 3

The solution set is the set of all x that satisfy both inequalities. It is the intersection of the solution sets of the individual inequalities, which is the set of x that are less than or equal to -8 and greater than 3.

Hence, the **solution** of the **system of linear equations** is -8<x<3.

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