A bank runs a contest to encourage new customers to open accounts. In the contest, each contestant draws a slip representing a different reward—$5, $3, or $x—from a jar. At the beginning of the contest the jar contains 60 slips for $5, 40 slips for $3, and 50 slips for $x.
If the expected value of the first draw from the jar is $5.8, the value of x is__
At one point in the contest, the jar contains 3 slips for $5, 7 slips for $3, and y slips for $x. If the expected value on the next draw is $6, the value of y is __

Answers

Answer 1
Part 2:


We'll use x = 9 from part 1.


Again let,
A = event that the $5 reward is drawn
B = event that the $3 reward is drawn
C = event that the $x reward is drawn (x is some positive number)

We can update event C to say
C = event that the $9 reward is drawn


The probabilities change to
P(A) = 3/(10+y)
P(B) = 7/(10+y)
P(C) = y/(10+y)
where y is some positive whole number. It represents the number of slips in jar C


The net values are
V(A) = 5
V(B) = 3
V(C) = x = 9


Like before, multiply the probabilities and net values to get
P(A)*V(A) = (3/(10+y))*5 = 15/(10+y)
P(B)*V(B) = (7/(10+y))*3 = 21/(10+y)
P(C)*V(C) = (y/(10+y))*9 = (9y)/(10+y)


The results add up to
[ 15/(10+y) ] + [ 21/(10+y) ] + [ (9y)/(10+y) ]
(15+21+9y)/(10+y)
(36+9y)/(10+y)


That last expression is the expected value. The expected value is also given to be 6, so set the two expressions equal to each other and solve for y.
(36+9y)/(10+y) = 6
36+9y = 6(10+y)
36+9y = 6(10)+6(y)
36+9y = 60+6y
9y-6y = 60-36
3y = 24
3y/3 = 24/3
y = 8


The statement "y slips of $x" turns into "8 slips of $9" since x = 9 and y = 8.
Answer 2
x=9                                                                                                                     and                                                                                                                         y =8.......................................

Related Questions

Which series of transformations will always carry an image onto the original figure? reflection over the y-axis followed by reflection over the x-axis
rotation by 180° about the origin
reflection over the x-axis followed by reflection over the y-axis
rotation by 360° about the origin

Answers

A rotation by 360° about the origin will always carry an image onto the original figure.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

A rotation by 360° about the origin will always carry an image onto the original figure.

Find out more on transformation at: https://brainly.com/question/4289712

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find the domain and the range of the function g(x)=5(x+1)^2+4

Answers

Try this explanation:
this is quadratic function (parabola, common view of equation is y=ax²+bx+c).
Domain: The function exists in all the points. It means, that x∈R or x∈(-oo;+oo).
Range: according to the common view a>0, it means, that parabola has 'min' in its vertice (x₀=-1). Range is y∈[4;+oo) or y≥4.

would you measure the length of a bench in centimeters or in meters. explain you choice

Answers

Centimeters because its smaller than inches and meters are way to long. 

Answer:

Meters

Step-by-step explanation:

Reason:

Usually, bench length is bigger than then length of the chair and the table.

So it will be measured using meters. If we use meter it will easy to measure  and accurate because it somewhat bigger length than chair and table.

1 meter = 100 centimeters.

The standard length of a bench will 1.5 meters to 2 meters. Usually 3 to 4 people will sit on the bench.

50 points help below

Answers

Hello,

Here is your answer:

The proper answer to your question is option D "26 units"! The length of the triangle is 26 units!

Your answer is D!

If you need anymore help feel free to ask me!

Hope this helps!

A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a 6?

Answers

n(E) = 16
n(S) = 52

P(E)=n(E)/n(S)
=16/52
=4/13

Express the number in scientific notation. 63,600,000

Answers

Answer:

[tex]6.36\times 10^7[/tex]  

Step-by-step explanation:

We are asked to represent 63,600,000 in scientific notation.

To express our given number in scientific notation, we need factors such that first factor is a number between 1 ans 10 and second factor will be power of 10.

[tex]63,600,000=6.36\times 10000000[/tex]  

[tex]63,600,000=6.36\times 10^7[/tex]  

Therefore, our number in scientific notation would be [tex]6.36\times 10^7[/tex].

A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales? Enter your answer in the box.

Answers

Answer:

$546

Step-by-step explanation:

Final answer:

The profit from sweatshirt sales was $302.

Explanation:

To find the profit from sweatshirt sales, we need to find the total profit from T-shirts and sweatshirts and then calculate 1/3 of that amount. We know that the profit from T-shirt sales is $1,632 and the vendor paid the rock band $726. Let's use these numbers to calculate the profit from sweatshirt sales:

First, find the total profit from T-shirts and sweatshirts by subtracting the payment to the rock band from the total profit: $1,632 - $726 = $906.Next, divide the total profit by 3 to find the profit from sweatshirt sales: $906 ÷ 3 = $302.

Therefore, the profit from sweatshirt sales was $302.

What was the final order that Chris placed at the pizza shack

Answers

Im stumped but I think he ordered his own pizza last

A taxi travels 25 km east of airport. Then it travels from that point to a point that is 40 km west of the airport. Finally the taxi returns the airport. How far did the taxi travel?

Answers

The answer is:  " 95 km " .
__________________________________________________
Explanation:
__________________________________________________

                                   ("airport")
                                           •     {Step 1):       " 25 km east "               •  
                                           │===============================>  │

                           •  {Step 2):       " 40 km west ["of that point"] " ;        •                                             │<==========================================│  
             
                          •  {Step 3:  [back to airport] = " (40 km − 25 km) " ;

                                            • ("airport").
                         │=======>│
 _________________________________________________
                          
 Note:  To find "total distance traveled:

" 40 km + (40 km) + (40 km − 25 km) " ; 

= " 40 km + (40 km) + (15 km) " ;

= " 40 km + 40 km + (15 km) " ;

= 80 km + 15 km  ;   

=  95 km .
____________________________________________________

The answer is:  " 95 km " .
____________________________________________________

Help with math please I'm helping my daughter

Answers

top left corner is 1/4, .27, .5, 3/5.
top right corner is 78.54
bottom left corner is 3/7, 5/11, 7/9, 4/5
bottom right corner is 1, 3, 5, 7, 31
1/4, 0.27, 0.5, 3/5

78.54

8 hrs and 30 mins

3/7, 5/11, 7/9, 4/5

1, 3, 5, 7, 31


Hope this is correct and hope it helps!!

which segment below is a secant?

Answers

A secant is a line going through a circle once. It cannot go outside the circle, nor can it stop at the center of the circle. Its ends must extent past the circumference. This means line segment AB cannot be a secant, as it lies outside of the circle. Instead, it is the tangent: a line that touches the outside of the circle at one point and one point only. This also means OJ can't be the secant either, because it stops at the center of the circle, rather than going all the way through. OJ is the radius, the length from the outside to the center that reaches equally through any part of the circle. Since neither A nor C are correct, that means it's B, which works out because line HJ extends beyond both ends of the circle, and only goes through it once. 

I hope I helped!

The segment HJ is the secant line of the circle. Then the correct option B.

What is a secant line?

If a line intersect the circle at two point, then the line is known as a secant line.

If the line intersect at a single point on the circle, then the line is known as a tangent line.

The segment HJ is the secant line of the circle.

Then the correct option B.

More about the secant line link is given below.

https://brainly.com/question/27916046

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Please help ASAP plz it due tomorrow

Answers

Try this option:
1. Rule for the sum of interior angles is: S=180°(n-2), where n - numbers of sides of n-gon.
2. using the formula shown above:
7 - 180*11=1980
8 - 180*16=2880
9 - 180*30=5400°
10 - 180*33=5940
11 - 180*5=900
12 - 180*24=4320
13 - 180*8=1440°
14 - 180*21=3780

The points plotted below satisfy a polynomial equation. What type of extreme value does the graph have in the part that is visible?

Answers

Hi!

The graph shows an A) Maximum

A Maximum value appears in a graph when all other values of the polynomial are smaller in value i.e. are under it in an X-Y plot. This is expressed mathematically as:

There is a maximum if for a given x*: f(x*) ≥ f(x) for all x. 

In the graph, you can clearly see that there is a value that is higher than all the others, so this value is a Maximum

The sales tax on a $45 DVD player is $3.38. What is the sales tax rate to the nearest tenth of a percent?

Answers

7%. 3.38 divided by 45 is 0.075111111.

write the standard form of the line that contains a slope of -3/8 and passes through the point (5,-4)

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ &&(~ 5 &,& -4) \end{array} \\\\\\ % slope = m slope = m\implies -\cfrac{3}{8} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=-\cfrac{3}{8}(x-5) \\\\\\ y+4=-\cfrac{3}{8}x+\cfrac{15}{8}\implies y=-\cfrac{3}{8}x+\cfrac{15}{8}-4\implies y=-\cfrac{3}{8}x-\cfrac{17}{8}[/tex]

Select two fractions that can be written with a denominator of 24.

What answer is it.

1/6 1/5 5/7 9/10 1/9 7/8

Answers

1/6 and 7/8 hope it helpps
1/6 can be written as 4/24 and 7/8 can be written as 21/24

Which ordered pair would form a proportional relationship with the point graphed below? mc012-1.jpg

Answers

Answer: (-30 , 10)   Option C

In given question, some information is missing.

Complete question is :

Which ordered pair would form a proportional relationship with the point graphed below?

(–10, 30)

(30, –15)

(–30, 10)

(80, –30)

Explanation:

In graph, given point's coordinate is (60 , -20)

We need to find the proportion of the given point (60 , -20)

Proportion is number considered in comparative relation.

So,

[tex] \frac{60}{(-20)}  [/tex]

= [tex] -\frac{60}{20}  [/tex]

Divide by common factor 2 both numerator & denominator.

= [tex] -\frac{30}{10}  [/tex]

So, proportion poit's coordinate is (-30 , 10)  Option C

That's the final answer.

I hope it will help you.

10 POINTSSS!!!!
Graph. y−5=43(x−5)

Answers

From the slope of the line, we see that 43 is a very steep slope, so the line is a near vertical line.
Also, from the point-slope form of the graph, we know that the line passes through (5,5) .
Note: (y-y1)=m(x-x1) passes through (x1,y1).
So the result is the line shown in the attached diagram, with no surprises.

Solution:

The given equation of line is :

→  y- 5 = 43 (x -5)

= y -5 = 43 x - 43 × 5 → [Using distributive property]

= y- 5 = 43 x - 215

→ 43 x - y - 215 +5 =0

→ 43 x - y -210 =0

→ y = 43 x - 210

As the slope of line→y = m x + c is ,43.

Or , tan A = 43, where A is the angle made by line in positive direction of X axis.

And Y intercept = -210

The polynomial x3 + 64 is an example of a

A.sum of cubes
B.difference of cubes
C.difference of squares
D.perfect-square trinomial

Answers

x^3 is a perfect cube
64 is a perfect cube (since 64 = 4^3)
When I say "perfect cube" I mean it can be written in the form A^3 where "A" is a placeholder for a number or variable expression (such as x)

Since we have two cubes and we're adding them, we have a sum of cubes

Answer: Choice A) sum of cubes

A.sum of cubes is the correct answer on E.D.G.U


Good luck!

determine e which statement is true about the zeros of the function graphed below

Answers

Try this option:
1. according to the graph no points of intersection between function and X-axis, it means, that 
2. D<0 and no real solutions. In other words function has two complex solution.
Answer: 2.

simplify (5x-8)+(7x+10)

Answers

combine like terms
5x+7x=12x
-8+10=2
12x+2
2 (6x+1 )
(5x-8)+(7x+10) 

5x + 7x = 12x
8 + 10 = 18

So the answer is: 12x = 18

What are the roots of the polynomial equation x^4 + x^2 = 4x^3 -12x +12 ? Use a graphing calculator and a system of equations. Round noninteger roots to the nearest hundredth.

A)–12

B) –2.73, 2.73

C) –1.73, 1.73

D) 12

Answers

Answer : option C

Explanation:

there will be 4 roots for the given polynomial but in graph you will see 3 points because (2,0) is repeating two times

we can see the root graphically

the points that intersect  x-axis are the roots

Here, x-axis is cut at 3 points so, these points will be the root of given polynomial.

please see the attached graph


Anthony wants to buy the same number of hats for 6 of his friends. He has $108 dollars, and each hat cost $8. what is the largest number of hats that Anthony buys for each of his friends?

Answers

108 Divided by 8= 13.5
13.5 Divided by 6= 2.25
So 2 Hats Each.

50 points!!! HELP!!!!

Answers

Answer:

(0,3)

(1,6)

(2,12)

(3,24)

(4,48)

(5,96)

(6,192)

This is a function.  For each input, there is only one y value.

Step-by-step explanation:

x = number of folds

y = thickness of paper

(0,3)

fold it once, the thickness is doubled (times 2)

Multiply the y coordinate times 2 each time you increase x by 1

(1,6)

(2,12)

(3,24)

(4,48)

(5,96)

(6,192)

This is a function.  For each input, there is only one y value.


Answer:

(0,3)

(1,6)

(2,12)

(3,24)

(4,48)

(5,96)

(6,192)

all of those are a function.

Step-by-step explanation:

PLEASE HELP BABES!!

Michael’s grandmother made two pies for Thanksgiving, a sweet potato pie and a chocolate pie. Each pie had 8 slices. All of the sweet potato pie and 2 slices of the chocolate pie were eaten.

How much pie did Michael’s family eat on Thanksgiving?

A) 5/8 pie
B) 10/16 pie
C) 1 1/4 pie
D) 1 3/8 pie

Answers

They did eat:
10/16
But you have to simplify that to:
5/8

Your answer is:
A) 5/8 pie

Good Luck!
Hope This Helps :)

Michael's family ate all of the sweet potato pie (8 slices) and 2 slices of the chocolate pie, making it a total of 10 slices eaten. Each pie has 8 slices, so they consumed 1 and 1/4 pies in total, which corresponds to answer choice C) 1 1/4 pie.

To find out how much pie Michael's family ate on Thanksgiving, we need to consider that the sweet potato pie had 8 slices and the chocolate pie also had 8 slices. All of the sweet potato pie was eaten, this means 8 slices of pie were consumed. From the chocolate pie, only 2 slices were eaten. To get the total number of slices eaten, we add the slices of sweet potato pie to the slices of chocolate pie that were eaten.

Total slices eaten = Slices of sweet potato pie + Slices of chocolate pie eaten
= 8 slices + 2 slices
= 10 slices

Since each pie was divided into 8 slices, we can see that the total pie eaten in terms of whole pies is:

Total pie eaten = 10 slices \/ 8 (slices per pie)
1 and 2 \/ 8
Since 2 \/ 8 can be simplified to 1 \/ 4, we get:

Total pie eaten = 1 and 1 \/ 4 pies

Therefore, the correct answer is C) 1 1 \/ 4 pie.

Find the points on the curve y = 2x3 + 3x2 − 12x + 1 where the tangent line is horizontal. (x, y) = (smaller x-value) (x, y) = (larger x-value)

Answers

Thinking about the graph of y, the rate of change is zero whenever there is an extremum.

First, differentiate y.

[tex]y'=6x^2+6x-12[/tex]

Next, find the zeros of y' by factoring.

[tex]6(x^2+x-2)=0 \\ x = -2, x = 1[/tex]

Now, we substitute these x-values into the original equation to find the coordinates. 

[tex](-2,21), (1,-6)[/tex]

Terrence would like to estimate the mean the number of books students at his school read during the summer. There are 595 students at his school.

Which statements are true?

Select each correct answer.

Answers

To estimate mean using a sample. Terrance will need to randomly select students he will survey so that the sample represents the population well

Answer:

As, there are 595 students in the school.

To find the mean number of books, read by student in the school during summer

If he will survey all the students in the school that will give the exact mean , but that will be little lengthy and tedious.

As, well as larger the number of students surveyed , the better the mean is.

But option A, is true as, select randomly few students , find the mean number of books read by them , that will be less time consuming and gives the mean of population also.

Option A:

To estimate the mean using sample,Terrance will need to randomly select students, he will survey and that represents population as well.

Apart from option A,option B is also true.

A 4 1/2 foot long wire is being cut into smaller pieces that are 1 1/4 feet long. What is the maximum number of smaller pieces of wire that can be cut from the original piece of wire?

Answers

Divide total length by the length of the pieces to equal number of pieces.

= 4 1/2 ÷ 1 1/4
convert to improper fractions
= 9/2 ÷ 5/4
multiply by reciprocal of 5/4
= 9/2 * 4/5
= 36/10
simplify by 2
= 18/5
change to mixed number
= 3 3/5

ANSWER: 3 3/5 is the maximum number of pieces that can be cut, but if considering maximum number of FULL pieces that can be cut, it is 3 with 3/5 of a partial piece left.

Hope this helps! :)

Find the equation of the plane through the point p=(5,5,4)p=(5,5,4) and parallel to the plane 5x+2y−z=−6.

Answers

The unit normal for the given plane is <5,2,-1>.
The equation of the plane parallel to the given plane passing through (5,5,4) is therefore
5(x-5)+2(y-5)-1(z-4)=0
simplify =>
5x+2y-z=25+10-4=31

Answer: the plane through (5,5,4) parallel to 5x+2y-z=-6 is 5x+2y-z=31

Determine whether quadrilateral ABCD with vertices A(–4, –5), B(–3, 0), C(0, 2), and D(5, 1) is a trapezoid. Step 1: Find the slope of AB. The slope of AB is . Step 2: Find the slope of DC. The slope of DC is . Step 3: Find the slope of BC. The slope of BC is . Step 4: Find the slope of AD. The slope AD is . The quadrilateral is a trapezoid because

Answers

Answer: Yes, the quadrilateral ABCD is a trapezoid.

Step-by-step explanation: Given that the vertices of the quadrilateral ABCD are A(–4, –5), B(–3, 0), C(0, 2), and D(5, 1).

We are to determine whether ABCD is a trapezoid or not.

We know that a trapezoid is a quadrilateral with one pair of opposite sides parallel. Also, the slopes of two parallel lines are equal.

First, we will find the slopes of the sides AB, BC, CD and DA.

We have

[tex]\textup{Step 1: The slope of AB}=\dfrac{0+5}{-3+4}=\dfrac{5}{1}=5,\\\\\textup{Step 2: The slope of BC}=\dfrac{2-0}{0+3}=\dfrac{2}{3},\\\\\textup{Step 3: The slope of CD}=\dfrac{1-2}{5-0}=-\dfrac{1}{5},\\\\\textup{Step 4: The slope of DA}=\dfrac{-5-1}{-4-5}=\dfrac{2}{3}.[/tex]

Since the slopes of the sides BC and DA are equal, so BC an DA are the parallel sides of the quadrilateral ABCD.

Thus, the quadrilateral is a trapezoid because it has a pair of opposite sides parallel.

The quadrilateral is a trapezoid because it contains two opposite sides that are parallel, the quadrilateral is called a trapezoid.

What is a trapezoid?

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

We have:

Quadrilateral ABCD with vertices A(–4, –5), B(–3, 0), C(0, 2), and D(5, 1)

To identify the quadrilateral is a trapezoid we must find the slopes of the lines AB, BC, Cd, and AD

For slope m the formula is given by:

[tex]\rm m = \frac{y_2-y_1}{x_2-x_1}[/tex]

For slope of AB:

[tex]=\rm \frac{0-(-5)}{-3-(-4)}[/tex]

[tex]=\rm \frac{0+5}{-3+4}[/tex]

= 5

For slope of BC:

[tex]=\rm \frac{2-0}{0-(-3)}[/tex]

[tex]=\rm \frac{2}{3}[/tex]

For slope of CD:

[tex]=\rm \frac{1-2}{5-0}[/tex]

= -1/5

For slope of AD:

[tex]=\rm \frac{-5-1}{-4-5}[/tex]

= 2/3

Because the slopes of the sides BC and DA are equivalent, BC and DA are the quadrilateral ABCD's parallel sides.

Thus, the quadrilateral is a trapezoid because it contains two opposite sides that are parallel, the quadrilateral is called a trapezoid.

Learn more about the trapezoid here:

brainly.com/question/8643562

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Senator Warren states that women are "ready to fight back" against unequal pay. Is this a valid argument supported by accurate evidence? a.No; Warren weakens her point by noting that "Women are the main breadwinners, or joint breadwinners, in two-thirds of the families across the country." b.Yes; Warren supports her point by noting that the Paycheck Fairness Act will "ensure that salary differences have something to do with the actual job that they are doing." c. Yes; Warren supports her point by noting that the Paycheck Fairness Act was introduced "to give women the tools to combat wage discrimination." d. No; Warren weakens her point by noting that "Today, more young women go to college than men." What type of topography should Carlos choose? Carlos does not have much money to spend on a new computer network, and he has also never installed a network before. What is the name of the species formed when a sodium atom loses an electron? how do the peasants in samara want to resolve the land issue? A) they want the land taken away from the peasants and given to the farmers B) they want the land taken away from the wealthy landowners and given to the peasants C) they want the land in the hands of the government and distributed to the people D) they want land sold to the highest bidder, regardless of social status The Fourth Amendment to the Constitution covers unreasonable searches and seizures and Samatha has 24 cards. Chelsea saw 15 more cards than Samatha. How many cards does Chelsea have? A PTA-sponsored program on alcohol awareness is an example of __________. A. community-based education B. government-sponsored education C. federally funded education D. nonprofit organization activities Which graph represents the function? The Ring of Fire is part of which of the following oceans?The Atlantic OceanThe Indian OceanThe Pacific OceanThe Southern Ocean The social sciences, including sociology, make the claim that ______ how do you know that a sealed calorimeter is a closed system?a) because temperature is conservedb) because the masses of the sample and water are equalc) because thermal energy is not transferred to the environmentd) because work is done on the test sample in a short paragraph describe some of the negative consequences that can result from two risk behaviors A table is 6 feet long and 3 feet wide. You extend the table by inserting two identical table leaves. The longest side of each recatngle leaf is 3 feet the extendable table is rectangular with an area of (18 + 6x) square feet. a. Make a diagram of the table and leaves. b. Write an expression that represents the length of the extendable table. What does x represent Which of the following has not generally been found in research on parole release? A. No more than about half of the inmates released on parole successfully complete their term of supervision.B. State inmates released through mandatory parole almost always have a higher success rate than inmates released by a parole board.C. The chances of failure are generally highest during the early stages of parole.D. Inmates released from prison on parole for the first time are more likely to succeed than rereleases. Which of these phrases is not a form of jargon used in the military? The phrase of choice is a standard English equivalent of military jargon. lifer AWOL absent without leave five cards are drawn from a standard deck of cards. each card is replaced after being drawn. what is the probability of the following event: p(3 and 3 and 3 and 2 and 2)? Veronica bought a purse for 25 off its full price. what was the full price of the purse if Veronica paid $35.85 before sales tax? A) $59.75 B) $47.80 C) $ 60.85 D) $36.10 Kyra exercises at a gym for 1 2/3 hours. she stretches,lifts weights, runs, and showers. kyra spends 1/4 hour stretching 1/3 hour showering.how much time does kyra spend running? Recently in a large random sample of teens a proportion of 0.76 teens said they send text messages to friends. the margin of error for a 98% confidence interval was 0.030. (a) what is the sample statistic for the proportion of teens who send text messages to friends What details from the narration show that Rainsford is a rational individual who does well in moments of danger? Check all that apply.