Which data set is represented by the modified box plot 92,88,100,136,106,79,88,86,98,115

By solving system of linear equation we get Cost for 1 cheeseburger $5 and 1 cups of lemonade $2

A system of linear equations is a collection of two or more linear equations that have the same variables. A linear equation is an equation in which the highest power of the variable is 1. In other words, the equation is a straight line when graphed.

Here is an example of a system of linear equations:

3x + 2y = 19

2x + 4y = 18

This is a system of equations problem, where we can use the information provided to set up two equations and then solve for the unknown variables. Let x be the cost of one cheeseburger and y be the cost of one cup of lemonade.

From the information provided, we know that:

3x + 2y = 19 (the cost of 3 cheeseburgers and 2 cups of lemonade is $19)

2x + 4y = 18 (the cost of 2 cheeseburgers and 4 cups of lemonade is $18)

To find the cost of one cheeseburger and one cup of lemonade, we can solve this system of equations. One way to do this is by substitution.

3x + 2y = 19

we get

[tex]x=\frac{19-2y}{3}[/tex]

substituting x in equation 2x+4y=18

we get

 [tex]2(\frac{19-2y}{3})+4y=18[/tex]

[tex]38 - 4y + 12y = 54\\8y = 16\\y = 2[/tex]

substituting y in equation 3x+2y=19

[tex]3x+2(2)=19\\3x=19-4\\3x=15\\x=5[/tex]

The cost of one cup of lemonade is $2

The cost of one cheeseburger is $5

To know more about the system of linear equation, check out:

https://brainly.com/question/25858757

#SPJ1

Answer:

I. Radius, r = 5.82 in

II. S.A of a sphere = 19.61 meters

Step-by-step explanation:

Given the following data;

I. Volume of cylinder = 542π in³

Height = 16 in

To find the radius of the cylinder;

Volume of cylinder = πr²h

542π = πr²*16

Dividing both sides by π, we have;

542 = 16r²

r² = 542/16

r² = 33.875

Radius, r = 5.82 in

II. Volume of sphere = 5.055π m³

To find the surface area of the sphere;

First of all, we would find the radius of the sphere.

[tex] Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3} [/tex]

Substituting into the formula, we have;

[tex] 5.055 \pi = \frac {4}{3} \pi r^{3} [/tex]

Cross-multiplying, we have;

[tex] 5.055 \pi * 3 = 4 \pi r^{3} [/tex]

[tex] 15.165 \pi = 4 \pi r^{3} [/tex]

Dividing both sides by 4π, we have;

[tex] 3.79 = r^{3} [/tex]

Taking the cube root of both sides, we have;

r = 1.56 m

Next, we find the surface area (S.A) of the sphere;

S.A of a sphere = 4πr

S.A of a sphere = 4*3.142*1.56

S.A of a sphere = 19.61 meters

Answer:

6 1/5

Step-by-step explanation:

Answer:

31/5 into a mixed number would be 6 1/5 .

Answer: 8(r-t)

Step-by-step explanation:

[tex](12r+2t)-(4r+10t)=12r+2t-4r-10t=8r-8t=8(r-t)[/tex]

The piecewise function f(x) = 1/2 |x| is equivalent to -

1/2 |x| = {- x/2}   {x < 0}

1/2 |x| = {x/2}   {x ≥ 0}

Given is the absolute value function -

f(x) = 1/2 |x|

We can write it as a piecewise function as follows. The given function is as follows :

f(x) = 1/2 |x|

The absolute value function is given as -

|x| = - x   {x < 0}

|x| = x     {x ≥ 0}

So, we can write the piecewise function as -

1/2 |x| = {- x/2}   {x < 0}

1/2 |x| = {x/2}   {x ≥ 0}

Therefore, the piecewise function f(x) = 1/2 |x| is equivalent to -

1/2 |x| = {- x/2}   {x < 0}

1/2 |x| = {x/2}   {x ≥ 0}

To solve more questions on piecewise function, visit the link below -

https://brainly.com/question/12700952

#SPJ1

Answer:

I think it's TWO

Step-by-step explanation:

Answer:

1.69

approximately 2 wax cubes

Step-by-step explanation:

number of wax cubes needed = volume of square pyramid / volume of cube

Volume of a pyramid = 1/3 x ( base area x height)

base area = length²

6² = 36

volume = 1/3 x (36 x 9) = 108

volume of a cube = length³

4³ = 64cm³

108/64 = 1.69

Answer:

Other words for subtraction:

taking away

withdrawal

abstraction

removal

discounting

Step-by-step explanation:

The missing side length is 5.7.

To learnmore about Pythagorean theorem refer to:

https://brainly.com/question/343682

#SPJ1

Answer:

d 10

Step-by-step explanation:

Answer:

Answer is D I’ve done it and got it right before

Step-by-step explanation:

Answer:

0.22

Step-by-step explanation:

Since 5 rounds up, it would be 0.22

Answer:

0.22 Is the answer.

I wish you luck on your assignments.

I think that it is the last one

Hope this helps

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Isolate by the x from one side of the equation.

|x-3|=5

x-3=-5 and x-3=5

1. x-3=-5

Add 3 from both sides.

x-3+3=-5+3

Solve.

-5+3=(-2)

x=-2

2. x-3=5

Add 3 from both sides.

x-3+3=5+3

Solve.

5+3=8

x=8

Therefore, the correct answer is x=-2 or x=8.

Answer:

I think it's 28 square units

Answer: A. The first one

Step-by-step explanation:

The first data can be represented in the box plot if the restaurant records the number of tables served each night, and option (A) is correct.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have data:

Minimum = 3

Lower = quartile = 14

Median = 23

Upper quartile = 29

Maximum = 40

From the above data, we can plot the data in the box plot.

Thus, the first data can be represented in the box plot if the restaurant records the number of tables served each night, and option (A) is correct.

Learn more about the box and whisker plot here:

brainly.com/question/3209282

#SPJ2

Answer:

14 cases

Step-by-step explanation:

Let x be the number of personal injury cases this year by Gypsum Goode

x* 9/7 = 18

Multiply each side by 7/9

x * 9/7 *7/9 = 18 * 7/9

x = 14

Answer: x>18.64

Step-by-step explanation:

x+6.56-6.56>25.2-6.56

x>18.64

Answer:

a. 12.50%

b. 87.50%

c. 37.50%

d. 12.50%

Step-by-step explanation:

Answer: Expected Value = -0.31

We expect to lose about 31 cents each time we play the game.

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

Explanation:

A = event of selecting a king

B = event of not selecting a king

P(A) = 4/52 since there are 4 kings out of 52 total. This fraction reduces to 1/13.

P(B) = 48/52 = 12/13

Note: P(A) + P(B) = 1.

V(A) = net value of selecting a king

V(A) = 100-8 = 92, so you net $92 if event A occurs.

V(B) = -8, meaning you lose 8 dollars if you select anything but a king

We multiply the probability values with their corresponding net values

P(A)*V(A) = (1/13)*(92) = 7.07692 approximately

P(B)*V(B) = (12/13)*(-8) = -7.38462 approximately

Add up the results:

7.07692 + (-7.38462) = -0.3077

The expected value is approximately -0.3077 which rounds to -0.31

We expect to lose on average 31 cents each time we play the game. The nonzero expected value means this is not a mathematically fair game.

Answer: mean = 6

median = 7

mode = 8

Step-by-step explanation:

The required graph of the function of h(x) is shown, where h(x) =  |x| + |x + 2|.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the graph, functions f and g are absolute functions,
f = |x|
g = |x + 2|

So,
h(x) = f + g

Now substitue the functions,

h(x) = |x| + |x + 2|

Thus, the required graph of the function of h(x) is shown.

Learn more about function here:

brainly.com/question/21145944

#SPJ1

If the probability of s1 = .6 the value above node degree 4 will be 320, as determined by the solution.

The area of mathematics known as probability deals with numerical descriptions about how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

S1 probability = 0.6

F's likelihood is 0.40.

If the probability of S1 is given a value of 0.6, then

Probability of S2 then equals 0.4.

Using the table equation's payoff values as an exception.

EV=Σ

Each decision's expected value is calculated.

EV(Node 8) = 0.6 * 100 + 0.4 * 300

= 180

EV(Node 9) = 0.6 * 400 + 0.4 * 200= 320

We chose the best value for node 4 from nodes 8 and 9.

The ideal option for node 9 is the line complicated branch with EV(node 8) = 180.

The ideal anticipated value is determined to be 320.

Node 4's EV is 320.

To know more about probability visit:

https://brainly.com/question/30034780

#SPJ1

Answer:

2

Step-by-step explanation:

2 + 2 - 4 + 2 = 2

Answer:

2

Step-by-step explanation:

2 + 2 = 4

4 - 4 = 0

0 + 2 = 2

Answer:

It would be 1%

Step-by-step explanation:

First of all, note that any of the cans with the batch have the same chance at being defective, so ingore that. However, note the chance that each one is defective:

10%

So if you picked up any can, it would have a 10% chance of being defective. With this, by picking up two cans, you would do:

0.1 * 0.1 = 0.01

To find the chance of both cans being defective, being 1% for both of the selected cans being defective.

Answer:

[tex]1\frac{7}{8}[/tex]

Step-by-step explanation:

Answer:

1.875

Step-by-step explanation:

Convert the whole number 3, and you get 15/4

complete the process, and you get 1.875 aka 1 7/8

Answer:

Step-by-step explanation:

12 divided by four plus 2 x 6+4

assuming that the question is:

12 : 4 + 2 x 6 + 4 =

3 + 12 + 4 =                     (remember PEMDAS)

19