Mathematics College

Juan is spinning a wheel with 4 unequal spaces marked with values of $200, $300, $400, and $600. The probability of landing on $200 is 2/9 . The probability of landing on $300 is 4/9 . The probability of landing on $400 is 2/9. The probability of landing on $600 is 1/9 . The expected value of spinning the wheel once is $, and the expected value of spinning the wheel three times is

Answers

Answer 1
a]
The expected value of spinning the wheel is given by:
E(x)=2/9(200)+4/9(300)+2/9(400)+1/9(600)
E(x)=44 4/9+133 1/3+88 8/9+66 2/3
E(x)=333 1/3

b] The expected value of spinning the wheel thrice will be:
(expected value of spinning once)*(number of spins)
=333 1/3*3
=1000/3*3
=1000
Answer 2

Answer:

333 and 1000

Step-by-step explanation:

Related Questions

is 0.003km greater than, less than, or equal to 3 m

Answers

There are 1000 meters in a kilometer. 0.003 kilometers is equal to 3 meters

Refer to narrative 14-1. a house is selling for $150,000. a deposit of $20,000 was made when the sales contract was signed. the down payment is 30% and the balance will be financed with a 25-year mortgage at 11% and 4 discount points. if the sellers are responsible for the broker's commission (6% of the purchase price); $1,300 in other closing costs; and the existing mortgage, with a balance of $40,000; what proceeds will they receive on the sale of the property?

Answers

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The diameter of a circle is 8 inches.What is the area?
A.8 inches
B.16 inches
C.32 inches
D.64 inches

Answers

The required correct answer is not listed among the given options. The area of the circle is approximately 50.24 square inches.

The area of a circle can be calculated using the formula A = πr^2, where A is the area and r is the radius of the circle. Since the given information provides the diameter (twice the radius), we need to first find the radius by dividing the diameter by 2.

Given: Diameter = 8 inches

Radius = Diameter / 2 = 8 inches / 2 = 4 inches

Now we can calculate the area using the formula:

= πr² = π * (4 inches)²
≈ 3.14 * 16 square inches
≈ 50.24 square inches

Therefore, the correct answer is not listed among the given options. The area of the circle is approximately 50.24 square inches.

Learn more about area of the circle here:

https://brainly.com/question/10043105

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Final answer:

The area of a circle with an 8-inch diameter is calculated using the formula A = πr². The correct area is around 50.27 square inches, not one of the provided options.

Explanation:

The question asks for the area of a circle with a diameter of 8 inches. To find the area, we use the formula A = πr², where π is approximately 3.14159, and r is the radius of the circle. Since the diameter is 8 inches, the radius (r) is half of that, which is 4 inches.

To calculate the area:

Divide the diameter by 2 to find the radius: 8 inches / 2 = 4 inches.Square the radius: 4 inches ² = 16 square inches.Multiply by π (pi): π × 16 square inches ≈ 50.26548 square inches.

The area of the circle is approximately 50.27 square inches, which means none of the given options A, B, C, or D is correct.

(a) find the slope m of the tangent to the curve y = 5 + 5x2 − 2x3 at the point where x =
a. m = (b) find equations of the tangent lines at the points (1, 8) and (2, 9). y(x) = (at the point (1, 8)) y(x) = (at the point (2, 9))

Answers

a) The slope at (1, 8) is 4.
  The slope at (2, 9) is -4.
These values are computed numerically by the graphing calculator and shown in the column f'(x) in the graphic.

The derivative is y' = 10x -6x². At x=1, y' = 10-6 = 4; at x=2, y' = 20-24 = -4.


b) In point-slope form, the equations of the tangent lines are shown in the graphic.

The slope of the tangent will be "[tex]10a-6a^2[/tex]". The equation at point (1, 8) is "[tex]y = 4x+4[/tex]" and at point (2,9) is "[tex]y = -4x+17[/tex]".

Given equation is:

[tex]y = 5+5x^2-2x^3[/tex]

(a)

The slope of the tangent to the curve point where [tex]x = a[/tex] is:

→ [tex]\frac{dy}{dx} = m = 10x-6x^2[/tex]

→              [tex]= 10a-6a^2[/tex]

(b)

The equation of tangent at point (1,8) will be:

→ Slope, [tex]m = 10-6[/tex]

                  [tex]= 4[/tex]

→ [tex]y-8=4(x-1)[/tex]

         [tex]y = 4x-4+8[/tex]

         [tex]y = 4x+4[/tex]

and,

The equation of tangent at point (2,9) will be:

→ Slope, [tex]m = 10\times 2-6\times 2^2[/tex]

                  [tex]= 20-24[/tex]

                  [tex]= -4[/tex]

→ [tex]y-9=-4(x-2)[/tex]

   [tex]y-9=-4x+8[/tex]

         [tex]y = -4x+17[/tex]

Thus the above answer is right.

Learn more about tangent here:

https://brainly.com/question/10462284

Algebraically determine if the relation y=10x is symmetric with respect to the x-axis, y-axis, the origin or has no symmetry
A.) y-axis
B.)no symmetry
C.)the origin
D.)x-axis

Answers

Linear functions are odd degree functions.  These type of functions do not have any symmetry with respect to the either axis.  However, the function       y=mx+b where   m = ±1            b = 0 does have symmetry with respect to the origin.

hope this helped 

-4 log8 x - 2 = 6
Round to the nearest ten - thousandth

Answers

-4 log8 x - 2 = 6

log8 x - 2 = 6/-4 = -3/2

log(x-2)/log8 = -3/2    ; log8 = 0.903089987
log(x-2)/0.903089987= -3/2 
log(x-2)  = -1.35463498

10 ^  -1.35463498 = x-2

x = 2.044194174

A line passes through the (1, -6) and has a slope of 5. write an equation for this line

Answers

The point-slope form of the equation for a line with slope m through point (h, k) is ...
  y = m(x -h) +k

Your line's equation can be written as
  y = 5(x -1) -6

This can be simplified to slope-intercept form
  y = 5x -11
or standard form
  5x -y = 11

Which statements is true

A: all rectangles are squares
B: some trapezoids are parallelogram
C: all square are rhombues
D: no rhombuses are rectangles

Answers

All squares are rectangles
all squares are rhombuses

B and D are True Statements.

Hope this Helped!

;D
Brainliest??

your drawer contains 6 black socks and 8 white socks. what is the probability that both socks are black

Answers

[tex] \displaystyle
|\Omega|=\binom{14}{2}=\dfrac{14!}{2!12!}=\dfrac{13\cdot14}{2}=91\\
|A|=\binom{6}{2}=\dfrac{6!}{2!4!}=\dfrac{5\cdot6}{2}=15\\\\
P(A)=\dfrac{15}{91}\approx16\% [/tex]

PLEASE PLEASE PLEASE HELP ME WITH ALGEBRA 1 PLEASE!?!?!?!?!!!?!?!?!?!?! I WILL GIVE LOTS OF POINTS AND BRAINLEST PLEEEEEEEEEEEEEEEEASE!!?!?!?!?!?!!?!?!?!?


What are the different ways you can solve a system of linear equations in two variables? What is the process for solving a system using each method?

Answers

Im actually learning this myself atm, The three methods most commonly used to solve systems of equation are substitution, elimination and augmented matrices. Substitution is a method of solving systems of equations by removing all but one of the variables in one of the equations and then solving that equation. Elimination is another way to solve systems of equations by rewriting one of the equations in terms of only one variable. The elimination method achieves this by adding or subtracting equations from each other in order to cancel out one of the variables. Augmented matrices can also be used to solve systems of equations. The augmented matrix consists of rows for each equation, columns for each variable, and an augmented column that contains the constant term on the other side of the equation. For example, the augmented matrix for the system of equations 2x + y = 4, 2x - y = 0 is [[2 1], [2 -1]...[4, 0]], Good luck!
Hey mate 

It is 
________________________________
[tex]2x + y = 4, 2x - y = 0 is [[2 1], [2 -1] [4, 0][/tex]

Hope I helped have a good day

Please help Thankyou

Answers

Answer: B) (-∞, -1)U(-1, ∞)
----
The domain of a function is all the x values that return real y values.

If you look at your function, notice that x is in the denominator of [tex] \frac{1}{x+1} + 5[/tex]. Remember the denominator of a fraction can never equal zero because dividing by 0 isn't possible. That means x ≠ -1. All other x values work if you plug them in, so your answer must be the one that doesn't include x = -1.

As you look through your answer choices, remember that a bracket [ or ] means that the number is included and a parenthesis ( or ) means that the number is not included. The U means "union," which means both domains to the left and right of the U are included.

Your only choices that have "-1" are B and D. However, in D, there are closed brackets, and we want the "-1" to not be included. That means B is the only correct answer. 
f(x) = (1/x+1) + 5 ;

in order to make the function undefined, x must not be equal to -1 which makes the function 1/0 + 5.

It's either B or D

What is the y-intercept of the quadratic function fx) (x- 6)(x-2)?

Answers

Option 1
To find the y-intercept of a quadratic that is in factor formed follow the steps below:

First take the factor form and put it into standard quadratic form
Standard quadratic form:
[tex]ax^2 + bx + c[/tex]

To put the the factor form of a qudratic into standard form, we use the foil method

(x-6)(x-2) = [tex]x^2 - 8x +12[/tex]

Now to find the y-intercept, input 0 where the x is located:

[tex]f(x) = x^2 - 8x +12[/tex]
[tex]f(0) = 0^2 - 8(0) +12[/tex]
[tex]f(0) = 12[/tex]
y-intercept = (0,12)

Why did I use 0? Remember the y-intercept is where the line crosses the y axis so this means the x value of the y intercept is always = 0. Also, not, to find the y-intercept, you could of just multiplied the 6 and 2 in the factored form to get the 12 and since you know that the x is always 0 at the y-intercept, you know that the y-intercept is at (0,12)

Option 2
Input 0 for x in f(x) = (x-6)(x-2)
f(x) = (x-6)(x-2)
f(0) = (0 - 6)(0 - 2)
f(0) = (6)(2) =  12
x = 0
f(0) = y = 12
y-intercept = (0,12)

Answer:

The answer is B just took the test

Step-by-step explanation:

The ratio of the length to the width of a map is 8 to 5. The map is exactly 32 inches in length. What is the width of the map? A. 13 inches B. 20 inches C. 24 inches D. 32 inches

Answers

Ratio of length to width of a map = 8:5

Length of the map = 32 inches
Let the width of the map = x inches

So,

Length : Width = 8 : 5
32 : x= 8: 5

x = 5/8 * 32

x = 20 inches

So, the width of the map is 20 inches

Answer:

B. 20 inches

Step-by-step explanation:

Remember that when dealing with ratios or unit rates you just have to do simple rules of three to calcuate what they are asking you, in this case you have that in the map for every 8 units in the length there will be 5 in the width, so how many will there be when the map is 32 inches in length?

[tex]\frac{8}{5}= \frac{32}{x}\\x=\frac{32*5}{8}\\ x=20[/tex]

So the width of a map with a length of 32 inches and a ratio of 8:5 will be 20 inches.

Michael bought a new soccer Jersey that was $24.99. after taxes the total cost was $28.99. What is the percent if increase

Answers

Tax = $28.99 - $24.99 = $4.00

Tax Percentage = 4/24.99 x 100 = 16%

Answer: 16%

hey can you please help me posted picture of question

Answers

The correct answer is option A

( 2 - 8i ) + ( 5 - i )

Real part is added in real part and the complex part is added in complex part

= 2 +5 - 8i - i

= 7 - 9i

So, the answer is 7 - 9i

Assuming boys and girls are equally​ likely, find the probability of a couple having a baby boy boy when their fourth fourth child is​ born, given that the first three three children were all boys all boys.

Answers

I am assuming the gender of each child is independent of the other.

Then the information about the first three children is irrelevant.

So then the probability of fourth child being boy is 1/2, since boys and girls are equally​ likely.

Hope this helps.

one day a store sold 12 sweatshirts white one cost $9.95 and yellow ones cost $12.50. In all 147.45 worth of sweatshirts were sold how many of each color were sold?

Answers

x= # of white sweatshirts
y= # of yellow sweatshirts

STEP 1:
set up quantity and cost equations

QUANTITY EQUATION
x + y= 12

COST EQUATION
$9.95x + $12.50y= $147.45


STEP 2:
solve for one variable in quantity equation

x + y= 12
subtract y from both sides

x= 12 - y


STEP 3:
substitute x value in step 2 in cost equation

$9.95x + $12.50y= $147.45
9.95(12 - y) + 12.50y= 147.45

multiply 9.95 by parentheses
(9.95*12) + (9.95*-y) + 12.50y= 147.45

119.40 - 9.95y + 12.50y= 147.45
combine like terms

119.40 + 2.55y= 147.45
subtract 119.40 from both sides

2.55y= 28.05
divide both sides by 2.55

y= 11 yellow


STEP 4:
substitute step 3 x value in either equation

x + y= 12
x + 11= 12
x= 1 white


CHECK:
$9.95x + $12.50y= $147.45
9.95(1) + 12.50(11)= 147.45
9.95 + 137.50= 147.45
147.45= 147.45


ANSWER: 1 white sweatshirt and 11 yellow sweatshirts were sold.

Hope this helps! :)

Evaluate Cot0 if sin0= square root of 6/5

Answers

To evaluate cot θ given that sinθ=√6/5 we shall have:
sin θ=opposite/hypotenuse
hence
opposite=√6
hypotenuse=5
thus the adjacent will be found using the Pythagorean theorem
c²=a²+b²
plugging in the value we get:
5²=(√6)²+b²
b²=25-6
b²=19
b=√19
thus
adjacent=√19
but
cotθ=1/tanθ
tanθ=√6/√19
hence:
cotθ=√19/√6

What is the quotient of -19/2 divided by 38/ 7

Answers

This is the correct answer

A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply.

Answers

Putting into diagram the information provided. The triangle formed is a right triangle. (Find Attached).

We are given the length of the ladder and the distance of the base of the ladder from the wall. With that we can solve for the height of the triangle as well as the angle of inclination wrt to the floor and foot of the ladder or the wall to the tip of the ladder.

Pythagorean's theorem provides for the following formula

Square of hypotenuse (longest side of the triangle) equals the sum of the squares of the two other sides for right triangles.

Thus
Length of ladder being the hypotenuse we have below equation
Hypotenuse = 12
Distance from the base to the foot of ladder = 1 foot/feet
height = ?

12² = 1² + h²
h = √144-1
h=√143

Solving for inclination with respect to wall to tip of the ladder we can use rule of sine for right triangle

sineФ = opposite side / hypotenuse
sineФ = 1/12 = 0.083333
Ф = sin^-1 or inverse sine of 0.083333
Ф = 4.78017268 degrees

Note : If the distance between the base is not interpreted correctly, just change the value and plugin to the equation to get the result.

Answer:

A,B,D,E

Step-by-step explanation:

did it on edge

You save $15,000.00. You place one-third in a savings account earning a 4.6% APR compounded annually. You then invest one quarter of the remaining balance in a 3-year U.S. Treasury bond earning a 5.2% APR compounded annually and the rest in a stock plan. Your stock plan increases in value 3% the first year, decreases 8% in value the second year, and increases 6% in value the third year. What is the balance of the savings account by the end of the third year?

$4,618.81

$2,910.63

$5,722.23

$3,910.02

Answers

Scenario:
1. You deposited 1/3 of 15,000 or 5,000 in a savings account that earns 4.6% compounded annually.  If 5,000 is already in the savings account, there is still 10,000 left. 
2. One-fourth(1/4) of 10,000 or 2,500 is invested in 3-year US Treasury bond earning 5.2% compounded annually. If 2,500 is invested, there is still 7,500 left.
3. The 7,500 was invested in the stock market. 

For the savings account
The amount of money deposited in the savings account after three years will be
    [tex]F_2=P\left(1+r\right)^t=5,000\left(1+0.046\right)^3=5,722.23[/tex]

Therefore, the balance of the savings account after three years is $5,722.23.

hello can you please help me posted picture of question

Answers

Hello fellow user! 

Here is something that may help you. ^.^

P(GG)=(8/12)(7/11)

P(GG)=56/132

P(GG)=14/33

The answer is .B! Please contact me for any further questions. Cheerio and have a lovely day. 
8 girls  +4 boys = 12 children total

picking a girl first  = 8/12 = 2/3

picking a second girl = 7/11

picking both: 2/3 x 7/11 = 14/33

Answer is B

What is the area, in cm2, of the circle shown above? Round your answer to the nearest tenth.

Answers

Where is the circle?

Hey can you please help me posted picture of question

Answers

You multiply the options in each section:

Shirts x skirts x shoes
7 x 6 x 4
=168

So, there are 168 combinations- Letter answer B
The answer to the question is b

*Please help, will mark correct answer as brainliest*
What is the formula for finding a break-even point?

Answers

The break-even point formula is calculated by dividing the total fixed costs of production by the price per unit less the variable costs to produce the product.

Break-even point in units =
                  Fixed costs/( Sales price per unit - Variable cost per unit )

Break-even point in Dollars = Break-even point in units * Sales price per unit

Answer:

break even point=(0.01)(# of points)(P)/monthly savings

Step-by-step explanation:

ap3x

Determine if the function is an even function, an odd function or neither. y=-5x^(2)-2x+6

Answers

By definition we have:
 A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.
 A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.
 For y = -5x ^ (2) -2x + 6 we have:
 f (-x) = - 5 (-x) ^ (2) -2 (-x) +6
 f (-x) = - 5x ^ (2) + 2x + 6
 Answer:
 the function is neither

Answer:

C

Step-by-step explanation:

a man owned 75 shares of stock worth $50 each the corporation declared a dividend of 8% payable in stock how many shares did he then own

Answers

Final answer:

After receiving an 8% stock dividend on his initial 75 shares, the man will own a total of 81 shares.

Explanation:

The question is asking how many shares the man will own after a corporation where he holds stock declared a dividend payable in stock. The man initially owned 75 shares of stock, each worth $50, and the corporation declared an 8% dividend. To find out how many additional shares he receives as a dividend, we calculate 8% of his 75 shares:

Additional shares = 8% of 75 = 0.08 × 75 = 6 shares.

The man will then own his original 75 shares plus the 6 additional shares, for a total of:

Total shares owned = 75 + 6 = 81 shares.

There is a game at the carnival that costs $20 to play. There are two outcomes: either you win $100 , or you lose. To play you roll a die. If a six appears you win; all other rolls you lose. if 1000 people played this game during one afternoon what would you expect to be the outcome?

A. the game earns $3330

B. the game earns $1660

C. the game loses $3330

D. the game loses $1660

Answers

Outcome on winning = $100 - $20 = $80
Outcome on losing = $20

Probability of winning = 1/6
Probability of losing = 5/6

Expected Value = 1/6 (80) +5/6(-20) = -3.333

This shows on average from each game, the game earns $ 3.333.

So, if 1000 such games are played, the game will earn 1000 x 3.33 = $3330 

So, the answer to this question is option A

Correct answer is Option(A) . The game earns $3330

Carnival Game Expected Outcome

To determine the expected outcome, we first need to calculate the expected value of playing this game once.

The cost to play is $20. If a six is rolled, the player wins $100; otherwise, they lose their $20.

Calculations:

Probability of rolling a six = 1/6Probability of not rolling a six (1, 2, 3, 4, or 5) = 5/6

Expected value (EV) for one game:

EV = (1/6 x ($100 - $20)) + (5/6 x (-$20))EV = (1/6 x $80) + (5/6 x -$20)EV = $80/6 - $100/6EV = -$20/6EV ≈ -$3.33

This means that on average, each player loses approximately $3.33 per game.

Outcome for 1000 Players

If 1000 people play the game, the total expected loss for the players will be:

Total Expected Loss = 1000 x EVTotal Expected Loss ≈ 1000 x (-$3.33) = -$3330

Therefore, the game earns approximately $3330.

Can someone please help me with this problem. I need help solving a and b

Answers

(a) A generic quadratic expression is often written
  ax² +bx +c
Then the "a" and "b" in the expression -b/(2a) represent the coefficients of the squared term and the linear term, respectively. In your quadratic expression, the variable is "t", not "x", but that makes no difference. You have
  a = -16
  b = 96
Then the time (t) at the maximum height is
  t = -b/(2a)
  t = -96/(2(-16)) = 96/32 = 3

The ball is highest 3 seconds after being fired.


(b) Evaluating h for t=3, we get
  h = -16*3² +96*3 +11
  h = -144 +288 +11
  h = 155

The maximum height of the ball is 155 ft.

please help with 23 and show how to work it out

Answers

For this problem, you best start with calculating how many miles they drive in 1 hour, by dividing 192 by 4.5, which equals 42.666. You then multiply this by 3 to get the distance after 3 hours.

To prevent rounding errors, you can put this all in one equation:

[tex]\frac{192}{4.5} \times {3} =128[/tex]

So answer C looks like the right one.

Other Questions
One difficulty settlers faced on the Great Plains was: 1. there was not enough inexpensive land for everyone 2. there had been no new agricultural machines developed in the last few decades 3. the weather was more extreme than they had expected Read the excerpt and then answer the question that follows. Will all great Neptune's ocean wash this blood Clean from my hand? No, this my hand will rather The multitudinous seas incarnadine, Making the green one red. How does Shakespeare employ metaphorical imagery in this excerpt? A. He compares Macbeth's evil to that of the Roman god of the sea. B. He compares Macbeth to an ocean filled with remorse. C. He suggests that there is enough blood on Macbeth's hands to turn all of the seas red. D. He suggests that Macbeth's act is as powerful as the seas. While breathing into a plastic bag what happens to the levels of carbon dioxide in your blood? A single 6-sided dice is being rolled. What is the probability of rolling a 5 or an odd number? A parent isotope has a half life of 1 million years. If a rock contained 20 mg of the parent isotope when it formed, how much parent isotope would be left after 2 million years? At the end of the book, the children find out that mr. ewell was thrilled to hear about the death of tom and reportedly "said it made one down and about two more to go." who, do you suppose, are the "two more" that mr. ewell is targeting? do you believe his threat? Find the final cost to the employer.Original price: $129.00Employee discount: 20%Sale discount: 30%Sales tax: 5%a.$75.85b.$70.95c.$68.63d.$67.72e.$61.28 The denouement of the novel is the action following the _____ of the novel and moving toward the _____ of the novel.resolution / climaxclimax / resolution PLEASE HELP THIS IS LIKE THE 3RD TIME IVE ASKED AND IM NOT SURE WHAT THE ANSWER IS Which of the following made the scale of suburban growth possible?Question 1 options:travel and tourismmultinational corporationsinterstate highwayshigh-interest loans A major burden to the growth of Chinas economy was caused by Why did american farm land in the dust bowl region turn to infertile dust? Brain-imaging research has found that the brain anomalies in people with gambling disorders are almost identical to those found in The veloctiy of sound in air is given by the equation v=20 times the square root of 273+t where v is the velocity in meters per second and t is the temperature in degrees Celcius. Find the temperature when the velocity of sound in air is 369 meters per second. Round to the nearest degree. A condition in which patches of endometrial tissue escape the uterus and become attached to other structures in the pelvic cavity. Jeffery Brooks has just landed a job as the produce manager for a large grocery store. The store manager mentioned that last summer a group of students had calculated that the cross elasticity of demand between cantaloupes and water melons to be $1.10. Jeffery should know that this means A) people like cantaloupes 10% more than water melons. B) people like water melons 110% more than cantaloupes. C) a 10% increase in the price of cantaloupes will decrease the quantity demanded of water melons by 11%. D)a $1 increase in the cost of either product will decrease the quantity purchased by 110 units per day. E) a 10% increase in the price of cantaloupes will increase the quantity demanded of water melons by 11%. What method of forecasting uses the effects of past weather conditions as part of its forecasting method I do have a time limit. I appreciate any helpIf YB = ZA find the value of X and the length of YB What danger is there when hail diminishes or stops entirely? Please help me with this If the selling price is $18 and the markup is 33% what is the dollar market