Assume you have a ticket that will let you participate in a game of chance (a lottery) that will pay off $10 with a 45% chance (or a 55% chance of getting nothing). Your friend has a ticket to a different lottery that has a 20% chance of paying $25 (or an 80% chance of paying nothing). Your friend has offered to let you have his ticket if you will give him your ticket plus one dollar.

Required:
Build an influence diagram for this problem.

Answer:

y=4x+3

Step-by-step explanation:

The slope of the line is (13-7)/(2-1)=4. The line equation is hence y=4x+3

the slope-intercept form of the given equation is y = x/3 + 8.

The increase divided by the run, or the ratio of the rise to the run is known as the line's slope. The coordinate plane describes the slope of the line.

The slope-intercept form of a line is Y = m*X +C.

Given an equation 3x-9y = -72, which we will try to make in the slope-intercept form by using simplification.

3x-9y = -72

9y = 3x + 72

y = 1/3 * x + 8

Therefore y = x/3 + 8 is the slope-intercept form of the given equation.  where its slope is 1/3.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

D. (-2,-4)

Step-by-step explanation:

When given multi-choice questions like these and you're time bound, substitute the provided answers into the question and see if you'll get the figure beside the '='.

So, using D answers as example 1.

let -2 be x and -4 be y

Substitute these answers into the question.

5(-2)-5(-4)=10

-10+20=10 (+20 because when 2 negative values multiply each other, the operator becomes positive and so is the answer)

10=10

This means the answers provided for D(-2,-4) is the right answer.

PS: Please use or adopt this strategy to solve such questions ONLY when you've been provided with multiple answers to choose from. Plus, it also helps save time.

Thanks

Answer:

Step-by-step explanation:

TOM / 6.02 years

~~~~~~~~~~~~~~~~~~~~~~

Tom: 2000(1.02)^15 =  $2,691.74  

Jerry: 1800(1.025)^15 =  $2,606.94

TOM has more money after 15 years...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

6000 = 2000(1.02)^t

3=(1.02)^t

ln(3) = t * ln(1.02)

t = ln(3)/ln(1.2)

t = 6.02 years  

Answer:

smaller figure/larger figure = ½

Step-by-step explanation:

The scale factor = any of the side length of the smaller figure / the corresponding side length of the larger figure

Side length of smaller figure = 3

Corresponding sides length of larger figure = 6

Scale factor = smaller figure/larger figure = 3/6

Simplify

Scale factor = smaller figure/larger figure = ½

Answer:

Agree with Sharon

Step-by-step explanation:

A terminating decimal includes numbers beyond the decimal point.

An integer is a whole number.

4 is a whole number so it's an integer which is what Sharon said.

Answer:

606.6 and 233.3 respectively

Step-by-step explanation:

Let the speed of plane in still air be x and the speed of wind be y.

ATQ, (x+y)*9=7560 and (x-y)*9=3360. Solving it, we get x=606.6 and y=233.3

This is because there's one side we want (that's labeled "8") out of 12 sides total. This is of course if each side is equally likely.

Side note: this 12-sided die is known as a dodecahedron.

I cant graph it on here but. if your graph goes by 10 then the slope should increase by 666 every minute on the x line

Answer:

The answer is in the screenshot

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

Answer:

[tex]x = 2[/tex]

[tex]S_n = 63[/tex]

Step-by-step explanation:

Given

[tex]a_1 = x + 1[/tex]

[tex]a_2 = 4x -2[/tex]

[tex]a_3 = 6x -3[/tex]

[tex]a_n = 18[/tex]

Solving (a): x

To do this, we make use of common difference (d)

[tex]d = a_2 - a_1[/tex]

[tex]d = a_3 - a_2[/tex]

So, we have:

[tex]a_3 - a_2 = a_2 - a_1[/tex]

Substitute known values

[tex](6x - 3) - (4x - 2) = (4x - 2) - (x + 1)[/tex]

Remove brackets

[tex]6x - 3 - 4x + 2 = 4x - 2 - x - 1[/tex]

Collect like terms

[tex]6x - 4x- 3 + 2 = 4x - x- 2 - 1[/tex]

[tex]2x- 1 = 3x- 3[/tex]

Collect like terms

[tex]2x - 3x = 1 - 3[/tex]

[tex]-x = -2[/tex]

[tex]x = 2[/tex]

Solving (b): Sum of progression

First, we calculate the first term

[tex]a_1 = x + 1[/tex]

[tex]a_1 = 2 + 1 = 3[/tex]

Next, calculate d

[tex]d = a_2 - a_1[/tex]

[tex]d = (4x - 2) - (x +1)[/tex]

[tex]d = (4*2 - 2) - (2 +1)[/tex]

[tex]d = 6 - 3 = 3[/tex]

Next, we calculate n using:

[tex]a_n = a + (n - 1)d[/tex]

Where:

[tex]a_n = 18[/tex]

[tex]d = 3; a = 3[/tex]

So:

[tex]18 = 3 +(n - 1) * 3[/tex]

Subtract 3 from both sides

[tex]15 = (n - 1) * 3[/tex]

Divide both sides by 3

[tex]5 = n - 1[/tex]

Add 1 to both sides

[tex]6 = n[/tex]

[tex]n = 6[/tex]

The sum of the progression is:

[tex]S_n = \frac{n}{2} * [a + a_n][/tex]

So,, we have:

[tex]S_n = \frac{6}{2} * [3 + 18][/tex]

[tex]S_n = 3 * 21[/tex]

[tex]S_n = 63[/tex]

Answer:

a³b

Step-by-step explanation:

(ab²)³/b⁵

= a³b⁶/b⁵

= a³b

Answer:

The x-intercept is -8, the y-intercept is 4, and the slope is 1/2.

Step-by-step explanation:

The x-intercept is -8, the y-intercept is 4, and the slope is 1/2.

Answer: See below

Concept:

There are different forms of linear equations:

Solve:

Given: y - 3 = 1/2 (x + 2)

Here, we can see the linear equation is in the form of point-slope form.

x₁ = -2

y₁ = 3

m = 1/2

Point included in the graph = (-2, 3)

Slope of the graph = 1/2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

χ² = 19

Pvalue = 0.0008 ( 4 decimal places)

WE reject the H0 and conclude that probability of complaint is not the same for the 5 industries

Step-by-step explanation:

H0 : probability of complaint is the same for the 5 industries.

H1: probability of complaint is not the same for the 5 industries.

Category ____ observed frequency

Bank _______ 26

Cable _______44

Car _________42

Cell _________60

Collection ____ 28

Total ________200

The test statistic ;

χ² = (O - E)² / E

O = Observed Frequency ; E = Expected Frequency

Expected Frequency, E = (1 / n) * total

n = number of industries = 5

Expected frequency, E = (1/5)*200 = 40

Expected frequency is the same for all, thus E for all 5 industries = 40

χ² = Σ(O - E)² / E;

χ² = (26-40)² / 40 + (44-40)² / 40 + (42-40)² / 40 + (60-40)² / 40 + (28-40)² / 40

χ² = 19

At α = 0.05 ; df = n-1 = 4 ; χ²critical = 0.000786

Since Pvalue < α ; WE reject the H0 and conclude that probability of complaint is not the same for the 5 industries.

Answer:

1.5 meters

Step-by-step explanation:

You need to use circumference for this problem and the formula is dπ.

Plug in:

24π

Solve with pi:

24×3.14 = 75.36

Since there is two clocks, multiply:

75.36 × 2 = 150.72

In 1 meter there is 100 centimeters so divide

150.75 ÷ 100 = 1.5

So you will need 1.5 meters of ribbon.

Answer:

45

Step-by-step explanation:

15 x 3 = 45 - 3 = 42

Answer: Choice B)  0.27

=========================================================

Explanation:

There are a lot of data values here, and it's possible to easily get lost in them. However, we're asked only about students with blond hair. So we only focus on the first row. Ignore everything else.

We see that there are 78 of these students total. Of this total, 21 have green eyes.

Therefore, the relative frequency of blonds with green eyes is 21/78 = 0.2692 which rounds to 0.27; so that's why the answer is choice B.

Answer:

0.72 litres

Step-by-step explanation:

Litres of syrup = 0.32 litres

Litres of water = 12 times the amount of syrup = 12 * 0.32 = 3.84 litres

Litres of orange squash = litres of syrup + litres of water

Litres of orange squash = (0.32 + 3.84) = 4.16 litres

Amount of orange squash litres split = 1.28 litres

Amount of orange squash left = (4.16 - 1.28) = 2.88 litres

Splitting the amount of squash left equally into 4 :

2.88 litres / 4 = 0.72 litres

Answer:

X-(-7)

Step-by-step explanation:

If you are subtract by a negative number it turns it into a positive. It would look like this: X+(+7)

Step-by-step explanation:

1 since a tank holds 121/2 gallons of gas 121/2 multiplied by two it gives 25 -30 it gives 5 450 divided by two it gives 225-25 i guess.

Answer:

The solution set is {-2, 3}.

Step-by-step explanation:

We can do this by elimination after manipulating the 2 equations so that the coefficients of  y  will disappear after addition:

5x - 2y = -16        Multiply this by -5:

-25x + 10y = 80 ...........(A)

4x - 5y = -23       Multiply this by 2:

8x - 10y = -46..............(B)

Now add A and B:

-17x = 34

x = 34/-17

x = -2.

Now substitute x = -2 into the first original equation:

5(-2) - 2y = -16

-2y = -16 +10 = -6

y = -6/-2

y = 3.

Confirm these results by substitution in the second original equation:

4(-2) - 5(3)

= - 8  - 15 = -23.

Checks OK.

Answer:

B. 240 cm2

Step-by-step explanation:

Chu vi đáy: 10x=40

Diện tích xung quanh:  Sxq=1/2 x40x12=240

Answer:

2.25

Step-by-step explanation:

We can write a ratio to solve

1.69           x

------     = ---------------

3/4 lb              1 lb

Using cross products

1.69 * 1 = 3/4 *x

1.69 = 3/4 x

Multiply by 4/3

1.69 * 4/3  = x

x=2.25333

Rounding to the nearest cent

9514 1404 393

Answer:

  (-1, -1), (-1, 5), (2, -1)

Step-by-step explanation:

All of the blanks are filled with -1. (see attached)

_____

The attachment also shows the solutions that maximize or minimize the value of z.

Answer:

900

Step-by-step explanation:

Given that :

Enrollment declined by 20% from between September 1991 to September 1994

This means there was a reduction in enrollment ;

Enrollment in September 1994 = 720

Enrollment in September 1991 = x

Hence,

Enrollment in 1994 = (1 - decline rate ) * enrollment in 1991

720 = (1 - 20%) * x

720 = (1 - 0.2) * x

720 = 0.8x

720 / 0.8 = 0.8x/0.8

900 = x

Hence, Enrollment in September 1991 = 900 enrollments

9514 1404 393

Answer:

  -0.58 < x ≤ 2

Step-by-step explanation:

The exponential function is greater on the interval of approximately (-0.58, 1).

  about -0.58 < x < 1

Answer:

V = 108 ft³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Rectangular Prism Formula: V = lwh

Step-by-step explanation:

Step 1: Define

Identify variables

l = 4 ft

w = 3 ft

h = 9 ft

Step 2: Find Volume

Answer: (300 + 45x) / x

Step-by-step explanation:

Based on the information given in the question, the total cost will be the addition of the fixed cost and the variable cost which will be:

= 300 + (45 × x)

= 300 + 45x

The amount that needs to be charge for each attendee in order to cover the cost of hosting the event will be:

= (300 + 45x) / x