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YOUR ASSIGNMENT: Difference of 10
Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game.

Your Player
1. Choose your player, and record the number chosen by the other player. (2 points: 1 point for each answer)

a. Which player did you select?




b. What number did the other player pick?










Modeling Ways to Win
2. Should you use an equation or an inequality to represent the ways your player can win? Why? (2 points: 1 point for an answer, 1 point for an explanation)







3. Imagine that Erik chose a 4 and Nita chose a 12. Would the winner be different if Nita chose the 4 and Erik chose the 12? (2 points: 1 point for an answer, 1 point for an explanation)







4. Is it appropriate to use an absolute value inequality to represent how a player wins this game? Why? (2 points: 1 point for an answer, 1 point for an explanation)







5. If your player is Erik, write an inequality that shows all of the ways that Erik will win if Nita chooses 7. If your player is Nita, write an inequality that shows all of the ways that Nita will win if Erik chooses 17.

Be sure to define your variable. (3 points: 1 point for defining the variable, 2 points for the correct inequality)







6. In order to graph your solutions, solve for the variable. Be sure to show your work. (2 points)



















7. Sketch a graph of your solutions. (2 points: 1 point for endpoints, 1 point for the correct region)










Forming a Strategy and a New Rule
8. What is the range of numbers that will win the game for your player?

If your player is Erik, assume that Nita chooses 7.
If your player is Nita, assume that Erik chooses 17.

(Hint: Remember that Erik and Nita can choose only numbers from 0 to 20, inclusive.) (2 points)










9. Graph all the possible numbers that either player could pick. Compare this graph with your answer in question 8.

If your player is Erik, and Nita chooses 7, does Erik have a good chance of winning?
If your player is Nita, and Erik chooses 17, does Nita have a good chance of winning?

Explain your answer. (3 points: 1 point for the correct graph, 2 points for the explanation)

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Answer:

  (b) 7π

Step-by-step explanation:

The arc length is the product of the radius and the central angle in radians.

  s = rθ

  s = (4)(7π/4) = 7π . . . units

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Answer:

  (d)  4.2×10^15

Step-by-step explanation:

Your calculator will tell you the quotient is about ...

  4.21348...×10^15

The least precise number in the division is 1.5, which has 2 significant digits. Therefore, the result should be rounded to 2 significant digits:

  4.2×10^15

Answer:

The equation i.e. used to denote the population after x years is:

P(x) = 490(1 + 0.200 to the power of x

Step-by-step explanation:

This problem could be modeled with the help of a exponential function.

The exponential function is given by:

P(x) = ab to the power of x

where a is the initial value.

and b=1+r where r is the rate of increase or decrease.

Here the initial population of the animals are given by: 490

i.e. a=490

Also, the rate of increase is: 20%

i.e. r=20%

i.e. r=0.20

Hence, the population function i.e. the population of the animals after x years is:

P(x) = 490(1 + 0.200 to the power of x

So for this, we will be using exponential form, which is y = ab^x (a = initial value, b = growth/decay).

Since we start off with 210 animals, that is our a variable.

Next, since this is *decreasing* by 14%, you are to subtract 0.14 (14% in decimal form) from 1 to get 0.86. That will be your b variable.

Putting everything together, your equation is y = 210(0.86)^x

Answer:

5,10,15,20,25 and so on with the increase of 5 in it

Answer:

Question: 1

A dot plot shows individual values. So, we can most easily tell from the dot plot that 5 planes had an average cruising speed of 0.84 Mach

Question: 2

A box plot breaks data into quartiles, each representing 25% of the data. So to find the middle 50% of the data, look at the data that lies between the first and third quartiles of the box plot. The box plot shows that the first and third quartiles are 0.8175 and 0.85, respectively, so 50% of the data lies between 0.8175 and 0.85.

Question: 3

The histogram would be the best data representation for quickly determining how many planes had a speed less than 0.84 Mach. Adding the frequencies of the 3 bins less than 0.84 shows that 17 planes had a speed of less than 0.84 Mach. The dot plot could also be used to determine this, but it would take more time to count each individual dot.

Step-by-step explanation:

answer from plato

Thank me later

The graphical representation which would be best for determining the number of planes that had an average cruising speed of 0.84 Mach is a: histogram.

A histogram can be defined as a type of graph (chart) that is used to graphically represent a data set (statistical information) into user-specified ranges through the use of rectangles.

Generally, the area of each rectangle of a histogram is directly proportional to the data frequency and its width is equal to the class interval.

In this scenario, a histogram is the graphical representation which would be best for determining the number of planes that had an average cruising speed of 0.84 Mach.

Read more on histogram here: brainly.com/question/21304143

Answer:

Does the answer help you?

The angle of 30.283° in a degree-minute-second format will be 30° 16' 58". Then the correct option is C.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The angle is given below.

⇒ 30.283°

Convert 30.283° into a degree-minute-second format. Then we have

⇒ 30° (0.83 x 60')

⇒ 30° 16.98'

⇒ 30° 16' (0.98 x 60'')

⇒ 30° 16' 58"

The angle of 30.283° in a degree-minute-second format will be 30° 16' 58". Then the correct option is C.

More about the conversion link is given below.

https://brainly.com/question/9414705

#SPJ2

Answer:

Does the answer help you?

Ali's average speed was 40 miles per hour.

What is an average speed?

The total distance traveled is to be divided by the total time consumed brings us the average speed.

How to calculate the average speed of Ali?

The total distance between the college from Ali's house is 135 miles.

She drove 2/3rd of the total distance in 135 minutes.

She drove =135*2/3miles

=90miles.

Ali can drive 90miles in 135 mins.

Therefore, her average speed is: 90*60/135 miles per hour.

=40 miles per hour.

Learn about average speed here :

https://brainly.in/question/14787217

#SPJ2

Answer:

$14

Step-by-step explanation:

80% of $70 is $14, saving him $56

The other person has a great answer. Here's another approach.

If the discount is 80%, then you have to pay the remaining 20% (the two percentages add to 100%)

20% of 70 = 0.20*70 = 14

The sale price is $14 which is the amount Keiko pays

We see that Keiko saves 70-14 = 56 dollars.

Answer:

32 DAT yang tersembunyi do 3 Dan 2 semoga membatu

Answer:

Step-by-step explanation:

70*85/100 = 59.5 This is what you have right now.

You need 15.5 gross marks to get up to 75

As you can see, I'm sorry to say, you cannot do it.

Mind you, you would not miss by much. You could get about 74.5 if you got a hundred % on your final. This is just an estimate. I'm just trying to show you what you have to do to get near your goal. The 59.5 is accurate. So is the 15.5. Only your possible final grade is an estimate.

Answer:

-3

Step-by-step explanation:

For an expression to be undefined,. the denominator must be equal to 0

Therefore, in order to make that expression undefined, we must equate the denominator to 0

6 + 2v = 0

2v = 0 - 6

2v = -6

v = -6/2

v = -3

So in order to make the expression to be equal to 0, v must be -3

Answer:

5.625 litres

Step-by-step explanation:

1. We have to find how many litres of of lemon juice does a 1 litre jug of lemonade contains :

6 litres ÷ 1.6 litres = 3.75 litres

2. How many litres of lemon juice does a 1.5 litre bottle of lemonade contain?

= 3.75 litres × 1.5 litres

= 5.625 litres #

Answer:

A 1.5 litre bottle of lemonade contains 0.4 litre of lemon juice

Step-by-step explanation

let x be the litre of lemon juice in 1.5 litre of lemonade

litre of lemon juice in 6 litre of lemonade = 1.6

so , [tex]\frac{6}{1.6} = \frac{1.5}{x}[/tex]

    x = [tex]\frac{1.5 * 1.6}{6}[/tex]

    x=[tex]\frac{2.4}{6}[/tex]

    x = 0.4 litre

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

We know that the password is 10 characters long.

In each one of these, we can put.

One lower case letter (26 of these)

One upper case letter (26 of these)

one numerical digit (10 of these)

So, for every single digit, we have a total of:

26 + 26 + 10 = 62 options

Now we can find the total number of different passwords, which will be equal to the product between the number of options for each one of the characters.

We know that for each character we have 62 different options.

And we have 10 characters.

Then the product between the numbers of options is:

C = 62^10

Then if the hacker does a random guess, the probability that the random guess is correct is one over the total number of possible combinations.

P = 1/C = 1/(62^10)

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

If you want to read more about probability, you can read:

https://brainly.com/question/427252

Answer:

A. 5(1 + 2x) + 1 + 2x

D. 7(1 + 2x) - 2x - 1

E. 3(2 + 4x)

Answer:

The horsepower of the carriage is 50

Step-by-step explanation:

Let the horsepower of the carriage=x

ATQ, 195+5=4x, x=50.

Answer:

[tex]B)\ x=43[/tex]

Step-by-step explanation:

One is given a circle with many secants within the circle. Please note that a secant refers to any line in a circle that intersects the circle at two points. A diameter is the largest secant in the circle, it passes through the circle's midpoint. One property of a diameter is, if a triangle inscribed in a circle has a side that is a diameter of a circle, then the triangle is a right triangle. One can apply this to the given triangle by stating the following:

[tex]x+47+90=180[/tex]

Simplify,

[tex]x+47+90=180[/tex]

[tex]x+137=180[/tex]

Inverse operations,

[tex]x+137=180[/tex]

[tex]x=43[/tex]

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Answer:

  c) 16,500 m³

  d) 277,088 mm³

  a) V = LWH

  b) V = πr²h

Step-by-step explanation:

The relevant volume formulas are ...

__

13c. The pyramid formula above tells us the volume is ...

  V = 1/3(60 m)(15 m)(55 m) = 16,500 m³

__

13d. The cylinder formula above tells us the volume is ...

  V = π(35 mm)²(72 mm) ≈ 277,088 mm³ ≈ 277 mL

__

14a. The shape appears to be a rectangular prism, so its volume is given by the formula ...

  V = LWH . . . . . where L, W, H represent the length, width, and height

__

14b. The volume of a cylinder is given by the formula ...

  V = πr²h . . . . . where r, h represent the radius and height (length)

Answer:

-5-9i

Step-by-step explanation:

-1-8i-4-i

-1-4-8i-i

-5-9i

Answer:

y=-3x+4

Step-by-step explanation:

The y intercept is 4 because the line crosses the y axis at the 4 tic mark

The slope will be -3 because the y decreases by 3 every time the x incerases by 1

y=mx+b

y=-3x+4

Answer:

The red arrow shows the resultant vector. We have a Side Angle Side triangle ABC so can use The Cosine Rule:

a2=b2+c2−2bccosA

This becomes:

R2=7002+402−(2×700×40×cos45)

R2=491,600−39,597.9

R=672.3xkm/hr

This is the groundspeed of the aircraft.

To find θ we can use The Sine Rule:

sinCc=sinAa

This becomes:

sinθ40=sin45672.3

sinθ=0.04207

θ=2.41∘

This is known as the drift angle and is the correction the pilot should apply to remain on course.

The heading is the direction the aircraft's nose is pointing which is 000∘.

The track is the actual direction over the ground which is 357.6∘

An alternative method to this would be to separate each vector into vertical and horizontal components and add.

The resultant can be found using Pythagoras.

Answer:

The simple interest owed is $51

Step-by-step explanation:

The formula for simple interest is I = Prt, with I for interest, P for principle, r for interest rate, and t for time (in years)

The equation is I = 2550(0.02)(1), which is I = 51.

Hope this helps :)