A roulette wheel consists of 18 red slots, 18 black slots, and 2 green slots. A player can wager $1 that a marble will land in a red slot, in which case the player would gain a $1. If the marble lands in a slot that isn't red, then the player loses their $1 wager. Let X represent the player's gain from a random $1 wager on red. Here's the probability distribution of X along with summary statistics:
Lose Win
X = gain (S) -1 1
Р(X) 20/38 18/38
Мean: Ax-$0.05
Standard deviation: ax$1.00
Suppose a player decides to wager $5 instead of winning $5.
Let Z represent the player's gain from a random $5 wager on red. possible outcomes become either losing or , so
What are the mean and standard deviation of Z? dollars?

Answers

Answer 1

Answer:

-$0.26 ; $5

Step-by-step explanation:

Given that :

____________ Lose ______ Win

X =$1 _______ - $1 ________ $1

P(X) _______20/ 38 _____ 18/38

Mean, Ux = - $0.05

Standard deviation, σx = $1.00

If the wager is $5 instead of $1

Mean = Σx*p(x)

Mean = (-5 * 20/38) + (5 * 18/38)

Mean = - 2.6315789 + 2.3684210

Mean (μ) = −0.26

Standard deviation :

Sqrt(Σx²p(x) - μ²)

[(-5^2)*(20/38) + (5^2)*(18/38)] - (-0.26^2)

(13.157894 + 11.842105) - 0.0676

= 24.999999 - 0.0676

= sqrt(24.932399)

= 4.9932353

= 5

A Roulette Wheel Consists Of 18 Red Slots, 18 Black Slots, And 2 Green Slots. A Player Can Wager $1 That

Related Questions

what is the measurement of jkl​

Answers

Answer:

The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.

Step-by-step explanation:

Please mark as brainliest!

Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

You are selling lemonade. You find that if you set the price at $2.00 per cup, you sell 14 cups over the
course of a day. You also notice that for every $0.10 you decrease the price by, you sell 3 more cups over
the course of the day. Come up with a linear equation to model this situation.

Answers

Step-by-step explanation:

$2.00x-($.10x)=3+x

the x would stand for cups and since you already get 3 more cups in a day than before then you would put 3+x_how many cups you sell. the $2.00 is for how much money each up is. and the -$.10 is subtracting 10 cents for each cup you sell.

I dont know if this is correct but this is how I would make my equation

A family wants to rent a car to go on vacation. Company A charges ​$35.50 and 11¢ per mile. Company B charges ​$60.50 and 14¢ per mile. How much more does Company B charge for x miles than Company A​?

Answers

Answer:

$30 and 1 cent more

Step-by-step explanation:

$60.50 - $30.50 = $30

0.12 - 0.11 = 0.01

Value of ratio 3/4 to 2

Answers

Answer:

3/8 or 0.375

Step-by-step explanation:

0.75/2 = 3/8

Given the following right triangle, solve for the missing side length, r: *

29.24 m
200 m
30 m
2.5 m

Answers

Answer: 29.24 m
Ex: sin20deg = 10/r
r(sin20deg)=10
r=10/sin20deg

What number must you add to complete the square?
x2 + 16x = 3
O A. 16
B. 36
O C. 64
O D. 72

Answers

What number must you add to x² + 16x = 3 to complete the square 64: Option C

What is a perfect square?

You should be aware that a perfect square is a term that has two common factors

The given equation is x² + 16x = 3

To make the equation a perfect square, Add the square of half of the coefficient of s to both sides

This is to say that (16/2)² = 8² = 64

The equation becomes x²+16x+64 = 3+64

Then you can factorize the equation and simplify the right hand side

Learn more about perfect squares on https://brainly.com/question/385286

#SPJ1

Whats 4 5/6 + 5 7/8 thank you for answering

Answers

Answer:

4 5/6 + 5 7/8= 10 17/24

Step-by-step explanation:

pretty sure I answered this exact question like minutes ago

Answer: 257/24, or 10 and 17/24.

Step-by-step explanation:

First, we need to turn the fractions into improper fractions and then find the common denominator.

4 and 5/6 = 29/6

5 and 7/8 = 47/8

The common denominator is 24. Now, we convert the fractions and add. Hope this helps!

The Property where if the order of addends changes, the sum stays the change

Answers

Property of addiction

Which number is not a factor of 42?
2 3. 4 7

Answers

Answer:

3

by using divisibility test

Answer: Its 3

Step-by-step explanation: This is because 42 can be divided by 2 4 and 7 and still be a whole number but when you divide 3 by 42 you get 10.5

Hope this helps and have a nice day

Use the table to write a linear function that relates y to I.
X
-2
0
2
4
y
-7
- 7 - 7
- 7
=
10

Answers

Answer:

y = -7

Step-by-step explanation:

✔️Find the slope (m) using any two pairs of values, say (0, -7) and (2, -7):

Slope (m) = ∆y/∆x = (-7 -(-7))/(2 - 0) = 0/2 = 0

Slope (m) = 0

✔️Find y-intercept (b):

y-intercept is the value of y when x = 0. From the table, when x = 0, y = -7.

Therefore, y-intercept (b) = -7

✔️ Substitute m = 0 and b = -7 into y = mx + b (slope-intercept form):

y = 0(x) + (-7)

y = -7

The two figures shown are congruent. Which statement is true?



One figure is a translation image of the other.

One figure is a rotation image of the other.

Neither figure is a translation or rotation image of the other.

Answers

9514 1404 393

Answer:

  (b) One figure is a rotation image of the other

Step-by-step explanation:

The axis of symmetry is horizontal for the left figure, and vertical for the right figure. The right figure has been rotated 90° CW from the left figure.

The length of a rectangle is 20 inches less than twice the width. The perimeter of the rectangle is 86 inches. Find the dimensions of the rectangle.

Answers

Answer:

length=22

width=21

Step-by-step explanation:

let, length be x and width be y.

x=2y-20

2(x+y)=86

or, 2(2y-20+y)=86

or, 2(3y-20)=86

or, 6y-40=86

or, 6y= 126

or, y= 126/6

y= 21

x= 2×21-20 = 42-20 =22

Enter the product as a mixed number ​

Answers

9514 1404 393

Answer:

  10 1/5

Step-by-step explanation:

3 × 3 2/5 = 3(3) +3(2/5) = 9 +6/5 = 9 + 1 1/5

  = 10 1/5

what's is the slope of the line? please answer​

Answers

Answer:

The answer to your question is: -2/3

PLS HELPPP
What value of x would make the following relation a function?
{(-3,-2),(2,3),(3,2),(x,2)}

A. -3
B. -2
C. 2
D. 3

Answers

A........................................

A psychology professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 56% C: Scores below the top 44% and above the bottom 20% D: Scores below the top 80% and above the bottom 6% F: Bottom 6% of scores Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

Answers

Answer:

You get a D if you have a grade between 66 and 72.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4.

This means that [tex]\mu = 79.3, \sigma = 8.4[/tex]

D: Scores below the top 80% and above the bottom 6%

So between the 6th and the 20th percentile.

6th percentile:

X when Z has a pvalue of 0.06. So X when Z = -1.555.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.555 = \frac{X - 79.3}{8.4}[/tex]

[tex]X - 79.3 = -1.555*8.4[/tex]

[tex]X = 66.2[/tex]

Rounds to 66

20th percentile:

X when Z has a pvalue of 0.2. So X when Z = -0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.84 = \frac{X - 79.3}{8.4}[/tex]

[tex]X - 79.3 = -0.84*8.4[/tex]

[tex]X = 72.2[/tex]

Rounds to 72

You get a D if you have a grade between 66 and 72.

11 and 3/8 pounds of cat food were donated to the shelter

Answers

is that all there is to the sentence

The figure shown has two parallel lines cut by a transversal: A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left. Use the figure to complete the sentence. ∠7 and ____ are alternate exterior angles. ∠2 ∠1 ∠5 ∠8

Answers

*see attachement for the diagram of the figure being referred to

Answer:

<1

Step-by-step explanation:

Alternate exterior angles are a pair of angles which are located on the opposite side of the transversal, outside the two parallel lines.

From the figure given, you would see that <7 and <1 lie on opposite side of the transversal and they lie on the outside of the two parallel lines that are cut across by the transversal.

Therefore:

<7 and <1 are alternate exterior angles.

What is the formula for calculating Cone?​

Answers

V= πr2(the two is an exponent* h/3 (it’s a fraction)
v=(pie)r2
(i cant find the pie simbol)

Help please. Monica estimates the recipe makes about 5 cups of fruit salad. which example describes whether Monica estimates is reasonable?

Not reasonable. Four fractions cannot equal more than 4 cups.
B
Not reasonable. The whole numbers add up to 3 so the total sum cannot be 5 cups.
C
Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
D
Reasonable. The pears and apples is about 3 cups and the grapes and oranges is exactly 2 cups.

Answers

Answer:

A.

Step-by-step explanation:

Not reasonable, Why did you put that as your answer?

The whole numbers add up to more then 4 cups.

2|2x-6|=20

How the hell do you do this guys :(

Answers

Its 8
2x -6 =10
2x= 10+6
2x=16
X= 8

Answer:

x1 = -2, x2 = 8

Step-by-step explanation:

You can first divide both sides of the equation by 2 so now you have:

I 2x - 6 I = 10

Then use the absolute value definiton and rewrite it into two separate equations:

1.) 2x - 6 = -10

2.) 2x - 6 = 10

From here you can solve both equations:

1.) x = -2

2.) x = 8

i hoped this helps

Who can help me with this question problem

Answers

Answer:

use the formula and evaluate the givens

Step-by-step explanation:

336=(14/11)^2 * 22/7*h

336=196/121 * 22/7h

336= 4312/847h

336= 5.09h

h=66

.nooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer: What is this free?

Answer:

yes

Step-by-step explanation:

yes+yes(no-no)

=yes

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

268

Step-by-step explanation:

NOT TOO HARD NEED HELP

Answers

Answer:

perimeter = 12x+10 area=8x^2+14x+6

Step-by-step explanation:

A

2x+2+2x+2+4x+3+4x+3

2x+2x+4x+4x+2+2+3+3

4x+4x+4x+2+2+3+3

8x+4x+2+2+3+3

12x+2+2+3+3

12x+4+3+3

12x+7+3

12x+10

B

(2x+2)(4x+3)

8x^2+8x+6x+6

8x^2+14x+6

The slope of a linear function is 1/5. For every rise of 5 units, what is the run?

Answers

Answer:

for every rise of 1 the run would be 25

Graph f(x)=|x+1|+2. Shows vertex and 4 points.

Answers

Answer:

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

Step-by-step explanation:

The vertex of [tex]f(x)=|x|[/tex] is [tex](0,0)[/tex]

The +1 inside the absolute value horizontally shifts the graph 1 unit to the left.

The+2 outside the absolute value vertically shifts the graph 2 units upward.

So, the vertex of the graph of [tex]f(x)=|x+1|+2[/tex] is [tex](-1,2)[/tex]

Vertex: (-1,2)
Here’s the graph

If the area of a rectangle is (15x2 - 16x - 15) square feet, and its length is (3x - 5) feet, find its width

Answers

Answer:

255

Step-by-step explanation:

(15x2 - 16x - 15) = 270

(3- 5) = -15

 270

-  -15

= 255

The breadth of the rectangle is (-5x-3).

Area of rectangle

The area of a rectangle is given as the product of its length to its breadth.

[tex]\rm{Area\ of\ Rectangle = Length \times breadth\\[/tex]

Given to us

area of a rectangle = (15x2 - 16x - 15)

length = (3x - 5)

Width

[tex]Area\ of\ Rectangle = Length \times breadth\\(15x^2-16x-15)=(3x-5)\times breadth\\\\(3x-5)\times breadth=(15x^2-16x-15)\\\\breadth = \dfrac{(15x^2-16x-15)}{(3x-5)}\\\\breadth = (-5x-3)[/tex]

Hence, the breadth of the rectangle is (-5x-3).

Learn more about Rectangles:

https://brainly.com/question/10046743

Find the area of each. Use pi = 3.14

Answers

There's no picture or anything about the shape in the question D: if you're able to explain in the comment I'll help you :D

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)

Answers

Answer:

(6x2 - 5)(x2 + 2)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

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