There are 8 employees on The Game Shop's sales team.
Last month, they sold a total of g games. One of the
sales team members, Chris, sold 17 fewer games than
what the team averaged per employee.
How many games did Chris sell?
Write your answer as
an expression.
games

Answers

Answer 1

According to the solving the team average is g/17 and Chris sold (g/8) - 17  games.

What do you mean by average?

The term "Average" refers to a value that should be used to describe the sample as a whole. The average is determined by dividing the total number of values in a set by the total number of values. also known as the arithmetic mean.

How do you calculate the mean?

Average A collection of integers are added, their count is divided, and the sum is used to determine the arithmetic mean.

According to the given information:

average game sold = g/8

since Chris sold 17 games less than average

hence, Chris sold   games

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Related Questions

When two lines intersect the vertically opposite angles so formed are Class 7?

Answers

When two lines intersect the vertically opposite angles so formed are equal in measure.

When two lines intersect each other, then the opposite angles, created due to the intersection are called vertical angles or vertically opposite angles.

We can see in the figure two lines intersect each other at a point. Therefore the two pairs of vertically opposite angles are ∠1 and ∠3, ∠2 and ∠4.

From the figure, ∠1 + ∠2 = 180°  [Linear pair]     eqn(1)

∠2 + ∠3 = 180°  [Linear pair]   eqn(2)

From eqn(1) and eqn(2), we get

∠1 + ∠2 = ∠2 + ∠3

∴ ∠1 = ∠3

Similarly, we can prove ∠2 = ∠4 also.

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7. You just landed back in Michigan at the airport, but cannot remember where you
parked your car. There are 8 letter sections (A, B, C, D, E, F, G, H) and each
section is labeled 1-22 in the lot. Find the probability that you correctly guess
the letter section and then guess the correct number section where your car is
located. Write your answer as a percentage rounded to the hundredth.

Answers

The probability that you correctly guess the letter section and then guess the correct number section where your car is located is 0.01.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Total possible outcomes.

= 8 x 22

= 176

Now,

Probability of guessing the correct letter.

= [tex]^8C_1[/tex] / 176

Probability of guessing the correct section.

= [tex]^{22}C_1[/tex] / 176


The probability that you correctly guess the letter section and then guess the correct number section.

= [tex]^8C_1 \times ^{22}C_1[/tex] / 176 x 176

= 8 x 22 / 176 x 176

=  1 / 176

= 0 .005

= 0.01

Thus,

The probability that you correctly guess where your car is located is 0.01.

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What is one of the main differences between a 401(k) and a Roth 401(k)?

O A. A Roth 401(k) is offered by banks, while a 401(k) is offered by an

employer.

B. The amount you can contribute depends on your age.

C. Contributions are taxed differently.

D. You have to be different ages in order to withdraw money.

Answers

Onr of the main differences between a 401(k) and a Roth 401(k): Contributions are taxed differently.

The correct answer is an option (C)

The difference between a 401(k) and a Roth 401(k) is that 401(k) is the income taxes on distribution whereas the Roth 401(k) is the income taxes on contribution.

Roth 401(k) is funded with after-tax money.

You can withdraw after-tax money once you reach retirement age.

A traditional 401(k) allows you to make contributions before taxes.

But in traditional 401(k) you have to pay income tax on the distributions in retirement.

Therefore, the main difference is:  the income taxes on your contributions.

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Click on the solution set graphic until the correct one is displayed.

Answers

Answer: I can't answer that because it's not a question

Step-by-step explanation:

A large plane cruises at 530 miles per hour. What is the ratio, Unit Rate, and Rate?

Answers

Answer:

For this example they are all the same thing.  

530:1 or 530 mph

Step-by-step explanation:

A unit rate is when the denominator is 1.  In this case, the denominator is already 1 hour.

Determine the slope, x-intercept and y-intercept of the line given by the equation 2x+3y=6

Answers

Answers
Y-intercept = 2
Slope = -2/3x
X-intercept = 3


To make it easier, write the equation in slope-intercept form (y = Mx + b)

1. Subtract 2x on both sides
3y = 6 - 2x

2. Divide both sides by 3 to get y by itself
3y/3 = 6 - 2x/3

3. Simplify
y = 2 - 2/3x

4. Reorder numbers on the right into slope-intercept form
y = -2/3x + 2

5. Using the information, m = slope and b = y-intercept, find the slope and y-intercept.
Since -2/3 = m, the slope is -2/3 and 2 = b, the y-intercept is 2.

5. To find the x-intercept, set y = 0
0 = -2/3x + 2

6. Subtract two on both sides
-2 = -2/3x

7. Multiply both sides by 3 to get rid of the fraction
-6 = -2x

8. Divide by -2 on both sides to find x
X = 3

Charlie reads quickly. He reads 1 3/7 pages every 2/3 minutes. Charlie reads at a constant rate: How many pages foes he read per minute?

Answers

In one min Charlie can read is [tex]2\frac{1}{7}[/tex] pages at a constant rate.

What is Unitary Method ?

A single unit's value may be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. We typically utilize this technique for math computations.

In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or less quantities are subsequently determined. This approach is known as the unitary method for this reason. Due to the fact that they generate two distinct sorts of variations, there are two different types of unitary approaches.

Direct VariationIndirect Variation

In [tex]\frac{2}{3}[/tex] min Charlie can read [tex]1\frac{3}{7} = \frac{10}{7}[/tex] pages

In one min Charlie can read is: [tex]\frac{10}{7}*\frac{3}{2} = \frac{30}{14} = 2\frac{2}{14} =2\frac{1}{7}[/tex]

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Simplify: [tex]\frac{10^4}{10^6}[/tex]

Answers

Answer:

1/100, or 0.01, or 10^-2

Step-by-step explanation:

Simplify to get 1/10^2

and evaluate to get 1/100 or some the alternative forms (see above)

What is the degree of the polynomial 2x² 5x³ 7 *?

Answers

The degree of the polynomial 2x² 5x³ 7 is 5.

The degree of a polynomial is the highest exponent of the variable in the polynomial. In this case, the highest exponent of the variable is 5, which appears in the term 5x³. The degree of a polynomial is a whole number that tells us how many times the variable is multiplied by itself. The degree of the polynomial is 5.

It's worth noting that polynomials can be constant or non-constant, meaning they don't have to have a variable in them, in that case the degree is 0. And also a polynomial with only one term, the degree of that polynomial is the exponent of that term.

In this case, we only have one term with variable x in it, 5x³, and the degree is the exponent of that term which is 5.

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His coordinate grid shows where Alberto's school is located. Each unit represents one block. Alberto's house is at (3, 4). The library is located at the reflection of (3, 4) across the y-axis. Use absolute value to find the distances from Alberto's house to the school and from Alberto's house to the library

Answers

The distance from Alberto's house to the school is 4 units and from Alberto's house to the library is 6 units

Consider the following diagram.

From given coordinate grid we can observe that Alberto's school is located at point (-1, 4)

Alberto's house is at (3, 4).

And the library is located at the reflection of (3, 4) across the y-axis.

This means, the libarary is located at point (-3, 4)

We know that the absolute value is nothing but the distance between a number and zero on a number line.

The distance from Alberto's house to the school would be,

= distance between points (3, 4) and (-1, 4)

= |3 - (-1)|

= |3 + 1|

= |4|

= 4 units

And the distance between Alberto's house to the library would be,

= distance between points (3, 4) and (-3, 4)

= |3 - (-3)|

= |3 + 3|

= |6|

= 6 units

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The complete question is:

This coordinate grid shows where Alberto’s school is located. Each unit represents one block. Alberto's house is at (3, 4). The library is located at the reflection of (3, 4) across the y-axis. What are the coordinates of the library?

In our class there are 40 boys. 22 students are girls write a ratio comparing girls to boys

Answers

Answer:

Its 22:40

Step-by-step explanation:

Answer: 22:40
Pretty simple

Step-by-step explanation:

prove that (4x-5)2 -5x(3x-8) is a positive for all values of x

Answers

To prove that (4x - 5)^2 - 5x(3x - 8) is positive for all values of x, we can start by expanding the expression:

(4x - 5)^2 - 5x(3x - 8) = 16x^2 - 40x + 25 - 15x^2 + 40x = -14x^2 + 80x - 25

Now, we can complete the square to find that this expression is always positive:

-14x^2 + 80x - 25 = (-14x^2 + 80x) - 25

= (-14x^2 + 80x + (80/2)^2 - (80/2)^2) - 25

= (-14x + 40)^2 - 25 - 40^2 + 40^2

= 15^2 - 25

= (15 - 5)(15 + 5)

= 10(20)

= 200

Since this expression is equal to 200, which is a positive number, we can conclude that (4x - 5)^2 - 5x(3x - 8) is positive for all values of x.

The area of the right triangle shown is 24 square feet.


Which equations can be used to find the lengths of the legs of the triangle? Select three options.

0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100

Answers

The area of a right-angled triangle is represented by the expression

x(x + 2) = 24 having area 24 square feet.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the area of a right-angled triangle is (1/2)×base×height.

Given, The area of a triangle is 24 square feet whose height is 2 more than it's base.

Let, The base of the triangle be 'x', Therefore the measure of the height is (x + 2).

Therefore, The area of the triangle is,

(1/2)×x(x + 2) = 24.

x(x + 2) = 24.

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Please help me with these two questions

Answers

The expression for area of the rectangles are obtained as x² + 10x + 21 and  x² - 9x + 8 respectively. The correct options for both parts are (C) and (B) respectively.

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The dimension of both the rectangles are given as,

First rectangle : (x + 3) and (x + 7)

Second rectangle : (x - 1) and (x - 8)

Since, the area of a rectangle is product of its dimensions.

It can be obtained as,

Area of first rectangle is given as,

⇒ (x + 3) × (x + 7)

⇒ x² + 10x + 21

Area of second rectangle is given as,

⇒ (x - 1) × (x - 8)

⇒ x² - 9x + 8

Hence, the area of both the rectangles are obtained as  x² + 10x + 21 and  x² - 9x + 8 respectively.

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what is 8 1/4 divided by d=2/11

Answers

First you need to convert 8 1/4 to an improper fraction which is 33/4. Next you need to flip 2/11 to it’s reciprocal to get 11/2 then you multiply the two fractions to get 45 3/8

Please mark brainliest I need three more!!!!!!!!!

When 8[tex]\frac{1}{4}[/tex] is divided by 2/11, we get 45[tex]\frac{3}{8}[/tex].

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement -

"8[tex]\frac{1}{4}[/tex] divided by 2/11"

We can write it as -

x = {8[tex]\frac{1}{4}[/tex]} ÷ {2/11}

x = 33/4 x 11/2

x = 363/8

x = 45[tex]\frac{3}{8}[/tex]

Therefore, when 8[tex]\frac{1}{4}[/tex] is divided by 2/11, we get 45[tex]\frac{3}{8}[/tex].

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How many 1/3 ounce cups can be taken from a 30 ounce box of cereal?

Answers

Answer:

90 cups

Step-by-step explanation:

Number of cups needed = 30 / (1/3) cups

                                          = 90 cups

Thought process:

1 cup -> 1/3 ounce

3 cups -> 1 ounce

? cups -> 30 ounce

Hence, ? = 30 x 3

                = 90

30 ounces divided by 1/3 ounce = 90 cups.

Therefore, 90 cups can be taken from a 30 ounce box of cereal.

Working as a team, 8 mathletes solve 20 problems in 10 minutes. At this rate, how many mathletes solve 30 problems in 5 minutes

Answers

Step-by-step explanation:

the given ratio is

8 / 20/10 = 8 / 2 = 4

for x mathletes we need to keep the same ratio :

x / 30/5 = 4

x / 6 = 4

x = 4×6 = 24

24 mathletes.

HELP PLEASE!!!!!!!!!!!!!!!

Answers

Answer:

Its the second image

Step-by-step explanation:

please help: find m∠BCF​

Answers

Step-by-step explanation:

so, clearly, the triangles BCF and DCF are congruent.

that makes the line CF a bisector of the kite figure.

and so, both angles are identical halves of the total angle at C.

therefore,

3x + 13 = 13x - 7

13 = 10x - 7

20 = 10x

x = 20/10 = 2

If QS is the ANGLE bisector, solve for x
Question setup: x over 18 = 45 over 20

Answers

Solving for x in the angle bisector which resulted to the proportion  x over 18 = 45 over 20 results to x = 40.5

What are angle bisectors as used in geometry?

In geometry, a line that divides an angle into two equal angles is referred to as an angle bisector.

By definition, a bisector is something that divides an object or a shape into two equal parts. A ray is said to be an angle bisector if it divides an angle into two equal portions of the same measure.

The division from angle bisectors gave rise to the proportion which is given by

x / 18 = 45 / 20

cross multiplying

x = 18 * 45 / 20

x = 40.5

hence x is solved to get 40.5

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Help me ….::::..::::&:88338

Answers

Answer:

y = [tex]\frac{1}{3}[/tex] x - 6

Step-by-step explanation:

9y - 3x = -54

We want in the form

y = mx + b

9y - 3x = -54  Add 3x to both sides

9y - 3x + 3x =  3x - 54

9y = 3x - 54   Divide all the way through by 9

[tex]\frac{9y}{9}[/tex] = [tex]\frac{3x}{9}[/tex] - [tex]\frac{54}{9}[/tex]

y = [tex]\frac{3}{9}[/tex] x - 6

We can simplify [tex]\frac{3}{9}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x - 6

How do you find the shorter leg of a 30 60 90 triangle?

Answers

The short leg of a 30-60-90 triangle is 1/2 the length of the hypotenuse. 30-60-90 triangle is the half of an equilateral triangle.

Right triangles with 30-60-90 interior angles are called special right triangles.

A 30-60-90-degree triangle is a special right triangle and its side lengths are always consistent with each other. The ratio of the sides follows the 30-60-90 triangle ratio: 1: 2: [tex]\sqrt{3}[/tex] .

Short side (opposite the 30° angle) = x

Hypotenuse (opposite the 90° angle) = 2x

Long side (opposite the 60° angle) = x√3

30-60-90 Triangle Theorem:

These three properties can be examined by the 30-60-90 triangle theorem and are unique to these special right triangles:

The hypotenuse (the triangle's longest side) is twice the length of the short leg.The length of the longer leg is the√3 times of the shorter leg.If we know the length of any one side of a 30-60-90 triangle, we can find the missing side lengths.

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5. An acute triangle has a base of 4 cm and a height of 8 cm. What is the area of the triangle?
32 cm²
12 cm²
16 cm²
64 cm²

Answers

Answer:

c) 16 cm²

Step-by-step explanation:

Given information,

→ Base = 4 cm

→ Height = 8 cm

Area of triangle formula,

→ Area = ½ × b × h

Now the area of triangle is,

→ ½ × b × h

→ ½ × 4 × 8

→ 2 × 8

→ 16 cm²

Hence, the area is 16 cm².

Answer: 16 cm^2

Check the photo for work. Hope it helps!

Hurry please I’ll give you 20 points

Answers

The general rule is power of power. It can be represented by (x^m)^n = x^mn.

What is an exponent?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Now complete the given table:

Problem to           First repeated        second repeated               Power of

simplify                 multiplication         multiplication              the form of a^n

(2²)³                         2²×2²×2²               2×2×2×2×2×2                           2⁶

(5³)⁴                     5³ × 5³ × 5³ × 5³      5×5×5×5×5×5×5×5×5×5×5×5    5¹²

(7³)⁴                     7³ × 7³ × 7³ × 7³      7×7×7×7×7×7×7×7×7×7×7×7        7¹²

((3x)²)³                   (3x)²×(3x)²×(3x)²    3x×3x×3x×3x×3x×3x                    (3x)⁶

(4y²)³                   (2y)²×(2y)²×(2y)²    2y×2y×2y×2y×2y×2y                    (2y)⁶

The general rule is  (x^m)^n = x^mn. The name of the rule is power of power.

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Alex has five cups of strawberries. He wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Does Alex have enough strawberries to make both recipes? Solve this problem any way you choose. Grade 5​

Answers

Alex has five cups of strawberries and wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Alex has enough strawberries to make both recipes.

To check if Alex has enough strawberries, we add the amount of strawberries needed for the fruit salad (1 3/4 cups) and the amount needed for the jam (3 1/2 cups)

1 3/4 cups + 3 1/5 cups

= 1 + 3/4 + 3 + 1/5

Multiplying 3/4 with 5/5 and 1/5 with 4/4 to make denominator equal

= 1 + 15/20 + 3 + 4/20

= 4 + 19/20

= 4 19/20 cups

4 19/20 is less than 5 cups. So Alex has enough strawberries for both recipes.

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Solve the system of equations using subtraction.
2x-6y = -2 - 2y
-6x - 4y = -38 -2x

Answers

Answer:

y=7/2 and x=6

Step-by-step explanation:

2x−6y=−2y−2 can be turned into x=2y−1.

Now you can substitute the equations.

−6x−4y=−2x−38

−6(2y−1)−4y=−2(2y−1)−38

Then you can simplify.

−12y+6=−36

−12y=−42

y=7/2

Then you can substitute y to find x.

x=2y−1

x=2(7/2)-1

x=6

And then our answers are y=7/2 and x=6.

Hope this helped! :)

The scattered plot below shows the relationship between the total calories a meal has and the number of calories from fat.

If a meal has 300 calories from fat, how many total calories would you expect it to have?

Answers

Total 400 calories is expected to have a meal has 300 calories from fat  the relationship between the total calories a meal has and the number of calories from fat .

what is scatterplot ?

A scatter plot is a collection of dots that have been plotted along a horizontal and vertical axis. Statistics uses scatter plots because they can display the degree of connection, if any, between values of observable quantities or events (called variables). There are points on a scatter (XY) plot that depict the connection between two sets of data. The sample illustrates the weight and height of one person for each dot. Data points are plotted on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another. The values of the columns selected on the X and Y axes determine where each row in the data table is represented by a marker, whose position.

given

300 calories from fat

total = 100 + 100 + 200

= 400 calories

Total 400 calories is expected to have a meal has 300 calories from fat  the relationship between the total calories a meal has and the number of calories from fat .

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vanessa will sell yogurt for $2.50 a cup fill in the table to show how much money Vanessa will make if she sells 19 cups of vanilla yogurt

Answers

answer: 47.5 cups

Step-by-step explanation:

2.50 x 19 = answer

On average a bird visits 950 flowers per day for nectar how many flowers does the bird visit in an hour Round your answer to the nearest whole flower. B how many flowers does the bird visit in a year

Answers

So, the bird visits 40 flowers per hour and approximately 347,750 flowers per year.

A. On average, a bird visits 950 flowers per day. To find the number of flowers visited per hour, we divide 950 by 24 (the number of hours in a day). This gives us approximately 39.58 flowers per hour. Rounded to the nearest whole flower, the bird visits 40 flowers per hour.

B. To find the number of flowers visited in a year, we multiply the number of flowers visited per day (950) by the number of days in a year (365). This gives us approximately 347,750 flowers visited per year.

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11 of 5011 of 50 Questions Question 11 Three classrooms are trying to raise $1,200.00 for charity. Mrs. LeBlanc's class has raised 50% of the total needed. Mr. Patel's class has raised $235.14. Ms. Warner's class has raised one-third as much as Mrs. LeBlanc's class. How much more money is needed to reach the goal of $1,200.00

Answers

$164.86 more is needed to reach the goal of $1,200.00.

First, we need to find out how much money Mrs LeBlanc's class has raised since they have raised 50% of the total needed. We can do this by multiplying the total needed by 50%:

$1,200.00 * 50% = $600.00

Next, we need to find out how much money Ms Warner's class has raised since they have raised one-third as much as Mrs LeBlanc's class. We can do this by multiplying the amount raised by Mrs LeBlanc's class by one-third:

$600.00 * 1/3 = $200.00

Now we can add up the amount raised by all three classes to see how much has been raised in total:

$600.00 (Mrs. LeBlanc's class) + $235.14 (Mr. Patel's class) + $200.00 (Ms. Warner's class) = $1035.14

Finally, we can subtract the total amount raised from the goal amount to find out how much more is needed:

$1,200.00 - $1,035.14 = $164.86

So $164.86 more is needed to reach the goal of $1,200.00.

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What is the relationship between mass and kinetic energy evidence? Sue has 18 sweetsTony also has 18 sweetsSue gives Tony sweets Sue then eats 5 of her sweetsTony then eats half of his sweetsWrite expressions for the amount of sweets Tony and Sue now have In a reaction between vinegar and antacid tablets, the antacid is the limiting reagent. At constant pressure and temperature, three tablets produce 600 cm of gas. What volume will six tablets produce? The_____dimension of wellnessinvolves your abilityto form and maintainhealthy relationships with others. Read the following opening line from Banneker's letter (refer to page 48 in your literature textbook) "I AM fully sensible of the greatness of that freedom, which I take with you on the present occasion; a liberty which seemed to me scarcely allowable, when I reflected on that distinguished and dignified station in which you stand, and the almost general prejudice and prepossession, which is so prevalent in the world against those of my complexion" (48). What does Banneker mean by greatness If you have a PC, identify some situations in which you can take advantage of its multitasking capabilities. Your colleagues computer stops working, and no one from the IT department is available to fix it. You have basic knowledge of computer hardware. Which action should you take as an ethical employee? A. Initiate help by offering to check the computer. B. Start a conversation with your colleague and provide a distraction. C. Take a quick break and offer your computer for a short time. D. Ignore it because it is beyond your designated scope of work. A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 293 students using Method 1 produces a testing average of 82.9. A sample of 282 students using Method 2 produces a testing average of 76.5. Assume that the population standard deviation for Method 1 is 7.97, while the population standard deviation for Method 2 is 6.66. Determine the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places. g Why was Elgin given permission to take the marbles? Which expression simplifies to m-2 ?m-1 4. A railcar of mass m and speed v collides and sticks to another identical, stationary railcar. The speed of the center of mass of the two-railcar system will be What is the target of a satire? The first step in the delegation process isChoose matching definition1 a hierarchy2 defining the goal3 analyzing the organizational chart4 performing a sensational analysis A tank of water is being drained. Due to a problem, the sensor does not start working until some time into the draining process. The sensor starts its recording at time zero when there are 770 liters in the tank. draw a flowchart to accept two numbers and check if the first number is divisible by the second number What is plotting a point in the plane? What is a hero narrative? A container is filled to a depth of 24.0 cm with water. On top of the water floats a 34.0 cm thick layer of oil with specific gravity 0.900. What is the absolute pressure at the bottom of the container Last year at a certain high school, there were 75 boys on the honor roll and 120 girls on the honor roll. This year, the number of boys on the honor roll increased by 24% and the number of girls on the honor roll increased by 10%. By what percentage did the total number of students on the honor roll increase Freda bought a sandwich for $4. 00 and a drink for94$. Her grandson ordered a meal for$6. 35. What was the total price of all three items when 8% sales tax was added?Explain how touse estimation to check whether your answer is reasonable