What is the range for the following numbers?
5,1,12,3,4,2,10​

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:

[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:

[tex]25 + 12x + 14 + 12x = 159 \\ 39 + 24x = 159 \\ 24x = 120 \\ x = 5[/tex]

they will earn a combined $ 159 in 5 days

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.

The quadratic equation that models the situation is

h(t) = - 4.9t² + 60.

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is that the function h(t) = - 4.9t² + h₀ gives the height (h), in meters, of an object (t) secs after it falls from an initial height h₀. The table shows data for a pebble that fell from a cliff as -

TIME (t)     HEIGHT (h)

1                   55.1

2                  40.4

3                  15.9

The given function is -

h(t) = - 4.9t² + h₀

For the point (1, 55.1), we can write as follows -

55.1 = - 4.9 x 1 x 1 + h₀

h₀ = 55.1 + 4.9

h₀ = 60

So, we can write the function as -

h(t) = - 4.9t² + 60

Therefore, the quadratic equation that models the situation is

h(t) = - 4.9t² + 60.

To solve more questions on quadratic equations, visit the link below -

brainly.com/question/22412845

#SPJ1

Answer:

c on edge

3.5

Step-by-step explanation:

Answer:

[tex]\implies \boxed{\red{\sf ( x +1)^2 = \dfrac{1}{4}}} [/tex]

Step-by-step explanation:

Given :-

And we need to write the equation by completing the square. Here's the step by step explanation .

Step 1: Make the coefficient of x² as 1 :-

[tex]\implies \dfrac{4x^2}{4} + \dfrac{8x}{4} + \dfrac{3 }{4}= 0 [/tex]

Step 2: Rewrite the equation :-

[tex]\implies x^2 + 2x +\dfrac{3}{4}= 0 [/tex]

Step 3: Add 1² to both sides :-

[tex]\implies x^2 + 2x + 1^2+\dfrac{3}{4}= 0 + 1^2 [/tex]

Step 4: Rewriting in whole square form:-

[tex]\implies ( x +1)^2 = 1 - \dfrac{3}{4} [/tex]

Step 5: Simplify the RHS :-

[tex]\implies ( x +1)^2 = \dfrac{4- 3}{4} [/tex]

Step 6: The required form of equⁿ :-

[tex]\implies ( x +1)^2 = \dfrac{1}{4} [/tex]

Hence the equation by rewriting it by completing the square is ( x + 1)² = 1/4 .

Answer: 3.75 ft

Step-by-step explanation:

30/8=3.75

So since area is A= L*W

8*3.75=30 ft2

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:

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.

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

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

Answer:

there is not enough info but i think it would be (5,11)

Step-by-step explanation:

divide

Answer:

[tex]y=\dfrac{11}{4}x[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]

Choose two (x, y) points from the given table:

Substitute them into the slope formula:

[tex]\implies \dfrac{22-11}{8-4}=\dfrac{11}{4}[/tex]

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]

Substitute point (4, 11) and the found slope into the point-slope formula and rearrange to slope-intercept form:

[tex]\implies y-11=\dfrac{11}{4}(x-4)[/tex]

[tex]\implies y-11=\dfrac{11}{4}x-11[/tex]

[tex]\implies y=\dfrac{11}{4}x[/tex]

Answer:

I think it's TWO

Step-by-step explanation:

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:

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

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: mean = 6

median = 7

mode = 8

Step-by-step explanation:

A'(-2, -3) would result if A (2, -3) was reflected over the x axis. Point (2,3)'s representation under the x-axis is (2,-3). from the y-axis P image (-a,b).

Changing the sign of the value on the opposite axis, in this case the y-value, is all that is required to reflect a point such as (-2,3) across the x-axis in a question. As a result, this location has a y-value of 3. A positive number, this. A negative sign produces a result of -3.

While the Y coordinate remains the same when you reflect across the Y-axis, the X coordinate changes sign. Determining the reflection of (2, 3) across the Y-axis is therefore (-2, 3). The Y-coordinate of each point must be negative while reflecting across the X axis, but the X value must remain constant.

Therefore the correct answer is option a ) A'(-2, -3)

To learn more about reflection refer to :

https://brainly.com/question/27912791

#SPJ1

I think that it is the last one

Hope this helps

Answer: D

Step-by-step explanation:

The weight of the jar after solving equation simultaneously is w=0.

A set of two or more first-degree equations with two or more connected unknowns is known as a system of linear equations.

A system of equations is solved by determining the value of each unknown until the system's equations are all satisfied. That is, it is necessary to find the values of the unknowns so that, when substituted, they will produce the suggested solution in both equations.

j+w=1.5

2j+w=3

Simultaneously solving gives

w=0

the weight of jar is 0.

To learn more about linear equation visit the link:

http://brainly.com/question/12788590

#SPJ1

Answer:

I think it's 28 square units

Answer:

Other words for subtraction:

taking away

withdrawal

abstraction

removal

discounting

Step-by-step explanation:

Answer:

Question 1: 29

Question 2: 50

Question 3: AD≅BC

Step-by-step explanation:

question 1: Since it's a parallelogram opposite sides are equal.

4x+5=5x-1   add one to both sides

4x+6 =5x subtract 4x from both sides

6 = x

So AD is equal to 5(6) - 1 = 30-1 =  29=AD

Question 2: Since diagonals in a parallelogram bisect each other AE = EC

So...

5x+5 = 8x- 7 add 7 to both sides

5x+12 = 8x subtract 5x from both sides

12=3x divide both sides by 3

4=x

AC= 5(4) + 5 + 8(4) - 7

AC= 20 + 5 + 32 - 7

AC= 50

Question 3: Lines can only be congruent, represented by ≅, not equal which is represented by =. Values can be equal.

By using the elimination method you get the answer  line AD ≅ line BC

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.

Answer: 8(r-t)

Step-by-step explanation:

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

Answer:

yup soooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

well this is how i do it. add everything then divide by 2 becuase triangle is half of square