Student A: 25, 78, 80, 82, 85, 86, 88, 89, 96, 99

Student B: 71, 77, 77, 79, 79, 80, 88, 89, 91, 96

Find the median and mean for both students.

**Answer:**

**Step-by-step explanation:**

Student A:

**Mean** 80.8

**Median**: 85.5

*The Median is a higher score.*

Student B:

**Mean **82.7

**Median: **79.5

*Mean is a higher score*

**Answer:**

**Student A's median **and** Student B's mean** would result in the highest grade.

**Step-by-step explanation:**

*How to find the mean:*

The mean is the **average.**

Therefore, you must **add** all numbers listed, then **divide** the added numbers by the amount of numbers you added together. Lastly, as instructed round to the nearest whole number.

- Student A : **Mean = 81**

Step 1 : 25+78+80+82+85+86+88+89+96+99 = 808

Step 2: 808 ÷ 10 = 80.8

Step 3: 80.8 ---> 81

- Student B: **Mean = 83**

Step 1: 71+77+77+79+79+80+88+89+91+96 = 827

Step 2: 827 ÷ 10 = 82.7

Step 3: 82.7 ---> 83

*How to find the median:*

The median is the **middle number** in a sorted list of numbers.

Therefore, you list all of the numbers from **least to greatest**. Then, you get rid of a number from each side until you finally get to the **center** number. If there are **two numbers left in the center** you then **find the mean**(average) of those numbers.

- Student A: **Median = 86**

Step 1: Knock off a number from each side until you reach the center number(s)

25, 78, 80, 82, 85, 86, 88, 89, 96, 99 ---> 85, 86

Step 2: Find the mean(average) of the two central numbers

85 + 86 = 171 ---> 171 ÷ 2 = 85.5

Step 3: Round your answer

85.5 ---> 86

- Student B: **Median = 80**

Step1: Knock off a number from each side until you reach the center number(s)

71, 77, 77, 79, 79, 80, 88, 89, 91, 96 ---> 79, 80

Step 2: Find the mean(average) of the two central numbers

79 + 80 ---> 159 ÷ 2 = 79.5

Step 3: Round your answer

79.5 ---> 80

Red letters and blue letters are used in a game. Some of the letters are X. All the other letters are Y. X Y X Y The ratio of the number of red letters to the number of blue letters is 2:5 The ratio of the number of red Xs to the number of red Ys is 1: 3 The ratio of the number of blue Xs to the number of blue Ys is 3:1 Work out what fraction of all the letters are Xs.

17/28 of all the letters are X's.

a movie ticket used to cost $4.25 back in 1990. inflation exist because products increase in value over time. the inflation rate is about 3.5% in what year can we expect the price of a movie ticket to exceed $5.50

In the year 1998, movie tickets will be greater than $5.50 as determined by solving the **equation** y=4.25[(1.035)^x].

What is an **equation**?

A movie ticket cost $4.25 in 1990.

The inflation rate is about 3.5%

Rate increased ,r=100%+3.5%=103.5%=1.035

equation generated is,

y=4.25[(1.035)^x]

Solving the **equation** for each year, we get the following data:

Tabulating the data

Year cost

1990 4.25

1991 ....

.... ....

1998 5.5964~ 5.6

In the year 1998, the will be greater than $5.50.

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Martha bought yards of fabric for $1.75 per yard. Which expressions could Martha use to find out how much her fabric will cost?

**Answer:C = 1.75f**

**Step-by-step explanation:**

C = Cost

F = Fabric in yards

Depending on the amount of fabric in yards she will buy that is the amount she spends.

find the value of x. Show your steps.

**Answer:**

x=8

**Step-by-step explanation:**

83+(12x+1)=180

It equal to 180 because the line measures to 180.

Then write out the equation and solve.

A cyclist leaves New York traveling at an average speed of 9 miles per hour. 4 hours later, a car leaves Bay Shore, on the same route, traveling at an average speed of 21 miles per hour. How many hours after the car leaves New York will the car catch up to the cyclist?

The car will catch up the cyclist **3 hours **after it starts **moving**.

The cyclist travels at 9 miles per hour, and travels for 4 hours before the car starts moving, so the **equation **for the **position **of the cyclist as a **function **of time, t, is:

C(t) = 9*4 + 9*t = 36 + 9*t

And the car moves at 21 miles per hour, then the **position **is:

P(t) = 21*t

The car will catch the cyclist when:

C(t) = P(t), this gives:

36 + 9*t = 21*t

36 = 21*t - 9*t = 12*t

36/12 = t

3 = t

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f (x)=√x + 9. Find ¹(x) and its domain.

The **inverse and domain** of the function are** y = x²-9 **and all real numbers.

A function's inverse is a function that **reverses** the action of a function, such as g(x). If and only if g(x) is bijective, then the inverse of g(x) exists, and if it exist.

If the function f(x)=√x + 9, find the inverse;

y = √x+9

x = √y+9

x² = y+9

y = x²-9

The **domain** of the** inverse function** will exist on **all real numbers. **

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Multiply.

(2.75 x 10-%) • (4.6 x 10-3)

**Answer:**

1.265 x 10-10

**Step-by-step explanation:**

the linear function

The **equation** of the **linear function** is: **3x + y = 1**.

How can we define the **slope** for a given line?

A **line's slope** in mathematics is defined as the** ratio** of the **change** in the **y coordinate to** the **change** in the **x coordinate**. Both the **net change** in the **y-coordinate** and the **net change** in the **x-coordinate** are **denoted** by **y** and **x**, respectively. Therefore, the **relationship** between the **change in the y-coordinate** and the **change in the x-coordinate** is provided by the formula **m = change in y/change in x = Δy/Δx**, where "m" is the slope of a line.

Mathematically, **slope of a line = m = (y₂ - y₁)/(x₂ - x₁)**

What is the **y-intercept** for a given line?

When a graph crosses the y-axis, that location is known as the **y-intercept**. It is, in other words, the value of y at x=0.

What is the **general equation** of a** line**?

The equation for a standard line is **y - y₁ = m(x - x₁)**, where m is the slope and c is the y-intercept.

Given, the **line** passes through the **points** (-2, 7) and (2, -5).

Now, using the formula established in the literature, we get:**Slope** = m = (y₂ - y₁)/(x₂ - x₁) = (-5 - 7)/(2 - (-2)) = -12/4 = -3**Equation** of the** linear function**: y - 7 = (-3)(x - (-2)) ⇒ y - 7 = (-3)(x + 2)

⇒ y - 7 = -3x - 6 ⇒ 3x + y = 1

Thus, the **equation** of the** linear function** is: **3x + y = 1**.

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Which two identify the same sequence

**The correct answer is options A and E.**

f(x) = 6x + 4

f(1) = 6(1) + 4 = 10

f(2) = 6(2) + 4 = 16

f(3) = 6(3) + 4 = 22

[tex]\begin{gathered} \text{When n=1,} \\ a_1=10 \\ a_{n+1}=a_{1+1}=a_2=a_1+6\text{ = 10+6=16} \\ _{}when\text{ n=2} \\ a_{n+1}=a_{2+1}=a_3=a_2+6=16+6=22 \end{gathered}[/tex]Clearly, options A and E are the same sequences.

What is the slope of the line?

**⇒The line passes through the points (3,0) and (1,-3) I will use them to find the gradient of the line. Note this information is from the graph.**

⇒[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\m=\frac{-3-0}{1-3} \\m=\frac{3}{-2} \\m=-\frac{3}{2}[/tex]

Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:

Number of years 1 2 3

Option 1 (amount in dollars) 1100 1210 1331

Option 2 (amount in dollars) 1100 1200 1300

Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your answer. (2 points)

Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points)

Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option. (4 points)

A) The **type **of** function** that can be used to describe the value of the investment after a fixed number of years using option 1 and option 2 are respectively; Linear Function and Exponential function.

B) One function for each option to describe the value of the investment f(n), in dollars, after n years.;

Option 1; f(n) = n + 100

Option 2; f(n) = n + 100x

C) The amount from option 1 after 20 years would be 3000 and the amount from option 2 after 20 years would be 4900

How to solve Linear functions?A) For option 1, the **linear function** can be used to describe the value of the investment after a fixed number of years. This reason is that, in option one, the **amount increases** by a fixed amount every year.

For option 2, the** exponential function** can be used to describe the value of the investment after a fixed number of years. The reason is that, in option 2, the amount increase is higher than the previous year.

B) For option 1, the **function** is;

f(n) = n + 100

For option 2, the function is;

f(n) = n + 100x

C) After 20 years, the amount from option 1 would be 3000 and the amount from option 2 would be 4900. Thus, there is a difference of 1900.

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Miranda did a survey of what time people

get to their office on Monday morning.

The table shows her results for

150 people.

+

35/40 Marks

Time

before 7 am

7am to 7:59 am

8am to 8:59 am

9am to 9:59 am

+

No of people

15

39

a) What percentage of the people surveyed arrive at their office before 7am?

Optional working

75

21

Answer:

b) What percentage of the people surveyed arrive at their office after 7:59 am?

Optional working

Answer:

%

a) 10** percent **people arrive before 7 am.

b) 64 **percent **of the people arrive after 7:59 am.

Here, we are given the following **data**-

Time No. of people

before 7 am 15

7am to 7:59 am 39

8am to 8:59 am 75

9am to 9:59 am 21

a) the number of people who arrive at the office before 7am = 15

The **total number **of people in the office = 150

Thus, the percentage of people surveyed who arrived before 7 am = (15/150)*100

= (1/10)*100

= 10

Thus, 10% people arrive before 7 am.

b) The number of people who arrive after 7:59 am = 75 + 21

= 96

Thus, the percentage of people surveyed who arrived after 7:59 am =

(96/150)*100

= (0.64)*100

= 64

Thus, 64 **percent **of the people arrive after 7:59 am.

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Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your

answer to the nearest tenth if necessary.

**MK = 50**

**to get from 13 to 53**

**times 1 plus 40**

**10 times 1 plus 40 =50**

answer choices:

6cm by 1.5cm

10cm by 2cm

13cm by 4cm

18cm by 4.5cm

80cm by 20cm

worth 23 points! and i will give brainly , pls hellpppp

**Answer:**

6cm by 1.5cm

18cm by 4.5cm

80cm by 20cm

**Step-by-step explanation:**

is m parallel to n. if so what theorem can you use.

You can use the Alternate Exterior Angle Theorem to prove that the 2 angles shown on the drawing are congruent to each other.

8^x = 2 Write down the value of x.

**Answer:**

x = [tex]\frac{1}{3}[/tex]

**Step-by-step explanation:**

using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex]8^{x}[/tex] = 2

[tex]2^3)^{x}[/tex] = 2 , that is

[tex]2^{3x}[/tex] = [tex]2^{1}[/tex]

since the bases on both sides are equal, both 2, then equate the exponents

3x = 1 ( divide both sides by 3 )

x = [tex]\frac{1}{3}[/tex]

y=−2x+4y, equals, minus, 2, x, plus, 4

Complete the missing value in the solution to the equation.

The** missing value** in the solution to the** **equation y = -2x+4y is y.

According to the question,

We have the following information:

y = -2x+4y

y equals minus 2 x plus 4.

Now, look at the equation, we know that the **solution **of y is -2x+4y.

Now, the statement that is given is incomplete because we have 4 is multiplied by y.

(More to know: this equation can be further solved. We have y = -2x+4y. Now, we can move the same **variables** to one side. So, we have -3y = -2x. Now, the two negative signs when divided gives the positive result.)

Hence, the statement can be completed by y.

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Mon. Tues. Wed. Thurs. Fri. 9. 60° 800 650 75° 70° Find the mean temperature in Eagletown for the past 5 days. help me

[tex]\begin{gathered} \operatorname{mean}\text{ = }\frac{60^0+80^0+65^0+75^0+70^0}{5} \\ \operatorname{mean}\text{ = }\frac{350^0}{5} \\ \operatorname{mean}=70^0 \end{gathered}[/tex]

boiling an egg physcal or chemcal

**Answer:**

it's a chemical change.

**Step-by-step explanation:**

a raw egg is converted into a hard boiled one by chemical changes happening inside it. Its also an irreversible change

A shipping company packs boxes at the rate shown in the graph below.

14. Based on the data shown in the graph, how many boxes can the shipping company pack in an 18-hour period?

*

0/1

110

A unit rate means a rate for one of something.

The **number** of boxes packed in 18 **hours** is 216 **boxes**.

A unit rate means a rate for one of something.

We write this as a ratio with a denominator of one.

We have,

From the **graph**, we see that,

In 5 **hours**, there are 60 **boxes** packed.

This can be written as:

5 hours = 60 boxes

Similarly,

1 hour = 12 boxes

3 hours = 36 boxes

The **number** of **boxes** packed in 18 **hours**:

1 hour = 12 boxes

Multiply both sides by 18.

18 hours = 18 x 12 boxes

18 **hours** = 216 **boxes**

Thus,

The **number** of boxes packed in 18 **hours** is 216 **boxes**.

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2/3 + 1/4 + 1/2 = x/12 , so what is x?

**Answer:**

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=17

**Step-by-step explanation:**

Write an equation in slope-intercept form given the table:

X 0 1 2 3

Y 3 6 9 12

**Answer:**

y = 3x + 3

**Step-by-step explanation:**

The slope is 3

change in y over the change in x. As the y increases by 3, the x increases by 1. [tex]\frac{3}{1}[/tex] = 3

Use any of the points from the table to write the equation in the slope intercept form

Let's use the first point (0,3) Any point would give us the same answer.

We will use the x from the point which is 0 and use the y from the point which is 3. We will also use the slope of 3. We will plug all of these into the equation and solve for b or the y-intercept.

y = mx + b

3 = 3(0) + b

3 = 0 + b

3 = b

y = 3x + 3

which domain would be the most appropriate set to use for a function that predicts the total weight of pounds

Accurate** Whole numbers .**

**What is accurate whole number?**

**Accuracy** is defined by the number of **significant **digits while **precision** is identified by the location of the last significant digit. For instance the number 1234 is more accurate than 0.123 because 1234 had more significant digits.

**What does function mean?**

Each** element** of x is given exactly one element of y via a function from a set x to a set y. The sets x and y are collectively referred to as the **function's** domain and codomain, respectively.

The following details must to be taken into account:

The term "whole number" refers to a number that is free of fractions and decimals.

It calculated the number of household online devices in relation to the number of occupants.

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3) Calculate the area of this trapezium

D

A

11 cm

¹9 cm

19 cm

B

10 cm

C

**Answer:**

A = 135 cm²

**Step-by-step explanation:**

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height between the bases b₁ and b₂

here h = 9 , b₁ = 19 , b₂ = 11 , then

A = [tex]\frac{1}{2}[/tex] × 9 × (19 + 11) = 4.5 × 30 = 135 cm²

30 POINTS!! HELP ASAP!

**Answer: Hi this would be the arrow that goes to the left and the dot on the right, so something like ← and dot. Hope this helps, I know this is confusing but try your best.**

**Step-by-step explanation:**

**Answer:**

After solving the inequality, we get:

[tex]x\leq -10[/tex]

With the plotted inequality given.

**Step-by-step explanation:**

**Step 1: Manipulate and solve the inequality**

The inequality is given as:

[tex]\frac{1}{2}x+8\leq 3[/tex]

Make [tex]x[/tex] the subject of the inequality to solve it:

[tex]\frac{1}{2}x+8\leq 3\\\\\text{Subtract 8 from both sides of the equation:}\\\frac{1}{2}x+8-8\leq 3-8\\\\\text{Simplify:}\\\frac{1}{2}x\leq -5\\\\\text{Multiply by 2 on both sides of the inequality:}\\2\times \frac{1}{2}x\leq -5\times 2\\\\\text{Simplify:}\\x\leq-10[/tex]

**Step 2: Plot the inequality**

After solving the inequality, we get:

[tex]x\leq -10[/tex]

Which means that [tex]x[/tex] consists of all values that are equal to and less than [tex]-10[/tex].

On a number line, when the inequality includes the value, it is denoted by a closed circle.

With all this information, let's plot the number line:

s equivalent to 2x + 3?

**Answer:**

**Step-by-step explanation:**

2x+3

x=3divides2

**#5.) Use the diagram below to answer the questions.

**Answer:**

a) ∠13

b) ∠13

c) ∠2

**Step-by-step explanation:**

a) ∠ 8 + ∠13 = 180°

**Co - interior angles** are supplementary, when m // l

b) ∠5 ≅ ∠13

If m // l, the **corresponding angles** are congruent.

c) ∠5 + ∠2 = 180°

∠5 and ∠2 are **co interior angles** and they are supplementary if a // b.

11. Aviation The number of active certified commercialpilots has been declining since 1980, as shown inthe table.a. Find a linear equation that can be used as a modelto predict the number of active certified commercialpilots for any year. Assume a steady rate of decline.

**a. **The line equation is given by:

**Where m is the slope of the line and b is the y intercep.**

**In this case y is the number of active pilots and x is the year.**

In order to obtain the line equation of the function, you use the information about a pair of years in the given table, in order to calculate the slope of the line. You can select whichever two years with its number of active pilots.

**For example, for years 1980 and 1990, you have that the pilots were 182,097 and 149,666 respectively.**

To calculate the slope of the line, you use the following formula:

[tex]m=\frac{149,666-182,097}{1990-1980}=-3,243.1[/tex]Then, the slope of the line is negative.

**If you consider the zero point of the year axis, as the year 1980, the y intercept of the function will the value of the active pilots in that years, which is 182,097.**

Finally, the line equation is:

[tex]y=-3,243.1x+182,097[/tex]**b. **For the year 2003, you have that x is:

x = 2003 - 1980 =23

You replace this value of x into the linear equation:

[tex]y=-3,243.1(23)+182,097=107506[/tex]T**he number of active pilots for 2003 is 107,506**

At an amusement park, a new thrill ride was introduced. It costs $7.50 for 3 rides on the Wild Slider. a) What is the Wild Slider’s unit rate per ride? b) At this rate, what would it cost for 18 rides on Wild Slider? Determine the answer two different ways.

**Answer:**

The stadium’s seating options will include premium seats (boxes closest to the action), medium-priced seats, and budget-friendly bleachers. Your design calls for 4,500 upper-deck premium seats and 7,500 lower-deck premium seats. The team’s policy is to have a 3:2 ratio of premium seats to bleacher seats. How many bleacher seats will the stadium include?

Answer: 8,000 bleacher seats. 4,500 + 7,500 premium seats = 12,000. 12,000/x = 3/2. x = 8,000.

Name the marked angle in 2 different ways.

**Answer:**

**Acute angle**

**OLN angle **

**Step-by-step explanation:**

3. Calculate the equilibrium constant ( Ke ) for the reaction below if the equilibrium mixture for the reaction was found o contain [ HS ] 0.25 M. [ H ] = 1 M , and [ S ] -0.2 M. 2HS ( g ) 2H ( g ) + S2 ( g )
You deposit $300 each month into an account earning 6% interest compounded monthly. a) How much will you have in the account in 30 years? $ b) How much total money will you put into the account? $ c) How much total interest will you earn?
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Sean is hiking the Appalachian Trail from Georgia to Maine. The distance of his hike is 2200 miles. Ittook Sean 134 days to complete the hike. The data below represent the distance, D, he had hiked tdays after the start of his trip.tD(0)0019308In345786710701. Determine the linear regression equation for this data.Linear Regression Equation: D =Round to the nearest tenth as needed.2. Interpret the meaning of the slope of this regression model.Sean hiked at a rate of approximately911715miles.1121902Select an answer3. Use your linear regression equation to estimate the total number of miles Sean had hiked in 52days. Round your answer to the nearest mile.In 52 days, Sean had hiked4. Use your linear regression equation to estimate the total number of days it took for Sean to hike377 miles. Round your answer to the nearest day.days, Sean had hiked 377 miles.1342200
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in greek mythology, was the king of the gods
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