You spin each spinner once. You get $39 if you spin a 2 and a vowel. You get $26 if you spin a 2 and a consonant. You get $9 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game? Round your answer to the second decimal if necessary
Answers
The expected value of the game is the mean value of the game
The expected value of the game is $9
For the first spinner;
The probability to spin 2 is 1/4The probability to spin 1 is 3/4For the second spinner;
The probability to spin a vowel is 1/4The probability to spin a consonant is 3/4So, the probability of spinning a 2 and a vowel is:
[tex]\mathbf{P(2\ and\ vowel) = \frac 14 \times \frac 14 = \frac{1}{16}}[/tex]
The earning for spinning a 2 and a vowel is $39.
So, the expected earning is:
[tex]\mathbf{Expected = 39 \times \frac{1}{16} = 2.4375}[/tex]
So, the probability of spinning a 2 and a consonant is:
[tex]\mathbf{P(2\ and\ consonant) = \frac 14 \times \frac 34 = \frac{3}{16}}[/tex]
The earning for spinning a 2 and a consonant is $26.
So, the expected earning is:
[tex]\mathbf{Expected = 26 \times \frac{3}{16} = 4.875}[/tex]
So, the probability of spinning a 1 and a vowel is:
[tex]\mathbf{P(1\ and\ vowel) = \frac 34 \times \frac 14 = \frac{3}{16}}[/tex]
The earning for spinning a 1 and a vowel is $9.
So, the expected earning is:
[tex]\mathbf{Expected = 9 \times \frac{3}{16} = 1.6875}[/tex]
So, the expected value of the game is:
[tex]\mathbf{Game =2.4375+ 4.875 + 1.6875}[/tex]
[tex]\mathbf{Game =9}[/tex]
Hence, the expected value of the game is $9
Read more about expected values at:
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Related Questions
Need the answer to this pls
Answers
Answer:
b
Step-by-step explanation:
y=-1/4 x -3
Can anyone help me with this equation? I need to show the work
Simplify the expression (5-4i) (-3 - 4i) – (10-3i)
Answers
Answer:
[tex]-5i-41[/tex]
Step-by-step explanation:
Hi there!
[tex](5-4i) (-3 - 4i) - (10-3i)[/tex]
Open up the parentheses
[tex]= -15-20i+12i+16i^2- 10+3i[/tex]
i² = -1
[tex]= -15-20i+12i-16- 10+3i[/tex]
Combine like terms
[tex]= -5i-41[/tex]
I hope this helps!
Find the distance between the points (-15,3) and (-9,8).
Answers
Distance:-
[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(-9+15)^2+(8-3)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(6)^2+(5)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36+25}[/tex]
[tex]\\ \sf\longmapsto \sqrt{61}[/tex]
[tex]\\ \sf\longmapsto 7.32units[/tex]
Given info:- Find the distance between the points (-15,3) and (-9,8).
Explanation:-
Distance formulae:
Distance = √{(x₂ - x₁)² + (y₂ - y₁)²}
Let's figure out the distance between two points A = (-15,3) and B = (-9,8).
From those points,
x₁ = -15
x₂ = -9
y₁ = 3
y₂ = 8
Using them in the formula,
Distance btw AB = √[{(-9 - (-15)}² + (8 - 3)²]
= √[(-9 + 15)² + (8 - 3)²]
= √[(6)² + (5)²]
= √[(6*6) + (5*5)]
= √[36 + 25]
= √[61] Units.
Therefore, the distance between A(-25,3) and B(-9,8) is √(61) units.
Triangle DEF is dilated by a scale factor of 2/3 to form triangle D´E´F´. What is the measure of side DE?
Answers
Answer:
DE = 30
Step-by-step explanation:
Let X be the measure of side DE.
You can write this equation to represent the problem:
[tex]x *\frac{2}{3} =20[/tex]
The measure of DE (x) is multiplied by the scale factor of [tex]\frac{2}{3}[/tex] to become 20.
Solve for x:
[tex]x *\frac{2}{3} =20\\\frac{2x}{3} =20\\2x=60\\x=30[/tex]
DE = 30
Three different maths books are arranged in a line on my table. In how many different orders can these Maths books be arranged.? *
in 5 ways
in 6 ways
in 7 ways
________________________________
that means is it horizontally
vertically
up
down
one by one ?
explain with an example
Answers
Answer:
Step-by-step explanation:
Three options for the first position
Two options for the second position
one option for the third position
3•2•1 = 6 ways
their orders could be
1) ABC
2) ACB
3) BAC
4) BCA
5) CAB
6) CBA
Answer:
Would be 6 ways
Step-by-step explanation
3x2=6
Does anyone know these answers?
Answers
Answer:
A
Step-by-step explanation:
We know the answer to the first question is 3 because GC, FB, HD are parallel to AE, so we can eliminate choices B and C, we know D is incorrect because the answer to the third question is 4
Answer:
A. 3, 3, 4Step-by-step explanation:
Parallel segments to AE are:
BF, CG, DH ⇒ 3Parallel segments to EF:
AB, CD, GH ⇒ 3Segments intersecting with EF under right angle:
AE, EG, BF, GH ⇒ 4Correct choice is A
Bella conducted a scientific experiment. For a certain time, the temperature of a compound rose
3
1
3
3
3
1
degrees in
15
15 minutes. What was the rate, in degrees per hour, that the temperature of the compound rose?
Answers
Answer: 13 1/3 degrees per hour
Explanation: 10/3 x 4 = 40/3
40/3 = 13 1/3
The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers?
Answers
Answer:
2020
Step-by-step explanation:
if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023
it is the number in the middle.
for the first 3 numbers, it is 2019, 2020, 2021
the middle number is 2020
The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Let's say the first integer is x.
Then, next terms will be x + 1, x + 2, x + 3, x + 4.
It is known that,
Mean = sum of data / Number of data
(x + x + 1 + x + 2 + x + 3 + x + 4)/5 = 2021
(5x + 10)/5 = 2021
x + 2 = 2021
x = 2019
Now, first, three consecutive integers will be,
2019,2020 and 2021
The mean of the above integers will be,
(2019 + 2020 + 2021)/3 = 2020
Hence "The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020".
For more about the mean,
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The radius of a circle is constantly increasing. At a certain moment, the rate of increase of the circumference is the same as the rate of increase of the area. At that moment, what is the area of the circle?
a. 1/pi
b.pi/4
c.4pi
d.pi
e.4/pi
Answers
rewrite in slope intercept
a(bx + y) = c
Answers
What is the degree of each polynomial?
(x^2 - y)^2 Degree _______
8x^4-5x^7+4c^5 Degree ______
x^2y^3/3+2x^3+8x^3 Degree ______
x^4 +2x^3-6x^4-17 Degree ______
-x^2+7x-4x Degree _____
x^7+y^8+x^7-y^8 Degree_____
Answers
Answer:
A- 4
B- 5
C- 8
D- 4
E- 2
F- 7
I'm 99% sure these are right!! I hope this helps :(
Use the Distributive Property to expand 3(6x-4y)-8
Answers
Answer:
[tex]18x - 12y -8[/tex]
Step-by-step explanation:
Distribute property means that [tex]a(b+c)=ab+ac[/tex]
Meaning that you will have to multiply 3(6x) and 3(-4y)
3(6x) = 18x and 3(-4y) = -12y and because -8 isn't inside the parenthasis we don't multiply 3 and -8
hi if you know 8th grd math pls help
Answers
Answer:
all correct except A.
Step-by-step explanation:
pls mark me brainly if u can
PLEASE HELP the information is below
Answers
Answer:
yellow: x=6
red: y=4
blue: y=-2
Step-by-step explanation:
Red is y=4
Blue is y=-2
plz help I can't get it
Answers
Answer:
A) 0.25/0.6 B) 40:96 E) 1/3 / 0.8
Step-by-step explanation:
A)
0.25/0.6 = 1/4÷3/5
=5/12
B)
40:96 = 5:12 You can divide 40 and 96 both by 8 to get 5:12
=5/12
E)
1/3 / 0.8 = 1/3 ÷ 4/5
=5/12
Hope this helps :)
Find two numbers x and y with a sum of 200 and a difference of 82
Answers
Answer:
Let x be the bigger number, and y be the smaller number.
[tex]x+y=200[/tex]
[tex]x=200-y[/tex]
Since the difference is 82,
[tex]x-y=82[/tex]
Substitute x in:
[tex](200-y)-y=82[/tex]
[tex]200-2y=82[/tex]
[tex]2y=200-82[/tex]
[tex]2y=118[/tex]
[tex]y=59[/tex]
[tex]x=200-59[/tex]
[tex]x=141[/tex]
Due Tomorrow: answer question 1 with steps
Answers
Answer:
the 1 st qn that is no2 c is just down right corner am I right
Step-by-step explanation:
plzzz make me ans as the brainliest ans
Zander was given two functions: the one represented by the graph and the function f(x) = (x + 4)2. What can he conclude about the two functions?
They have the same vertex.
They have one x-intercept that is the same.
They have the same y-intercept.
They have the same range.
Answers
Answer:
C.They have the same y-intercept.
Step-by-step explanation:
Edge 2021
The conclusion about the two functions is (c) they have the same y-intercept.
What are functions?Functions are used to represent equation, graphs and tables
The equation of the function is given as:
[tex]f(x) = (x + 4)^2[/tex]
Set x = 0, to calculate the y-intercept
[tex]f(0) = (0 + 4)^2[/tex]
Evaluate
[tex]f(0) = 16[/tex]
From the complete question, the graph crosses the y-axis at y = 16
This means that both functions have the same y-intercept
Hence, the true statement about the functions is (c) they have the same y-intercept.
Read more about functions at:
https://brainly.com/question/15602982
What is the y-intercept of the function /(x) = -2/9x + 1/3
Answers
Answer:
Step-by-step explanation:
f(x)= -2/9x + 1/3 = -2/9(0) + 1/3 = 0 + 1/3= 1/3
show that √20 = 2√5
Answers
hence , 2√5 = √20
PLEASE HELP.
Directions: find x so that L || M. state the converse used
Answers
Answer:
8. x=6; supplementary consecutive interior angles
10. x = 4; no applicable theorem
Step-by-step explanation:
8.The marked angles are "consecutive interior" angles. When their sum is 180°, the lines l and m will be parallel.
(7x -15) +(24x +9) = 180
31x = 186
x = 6
Consecutive interior angles being supplementary will make the lines parallel.
__
10.The sum of the remote interior angles of a triangle is equal to the exterior angle:
28x = 48 +16x
12x = 48
x = 4
The above relation holds regardless of whether line l is parallel to line m. There is no applicable theorem or converse.
_____
Additional comment
Adding the marking shown in the attachment would make the converse of the alternate interior angles theorem applicable to problem 10.
It is 9 kilometers from Charlie's house to the nearest mailbox. How far is it in meters?
Be sure to include the correct unit in your answer.
Answers
Answer:
Step-by-step explanation:
9,000 meters
Hey everybody!
Can somebody please help me put with this problem?
I would really appreciate it if you could! Take a look!
Answers
Explanation: y = mx + b
f(x) = mx + b
m = 1
b = -1
f(x) = x - 1
f(2) = 2 - 1
f(2) = 1
I’m not sure if I’m right
Equations
So I’m having trouble with this pls explain step by step
Here’s the question
W+2=12
Pls explain
Answers
Answer:
w = 10
Step-by-step explanation:
To find the value of w, you need to isolate w on one side.
You can start by subtracting 2 from both sides. What you do to one side of the equation, you have to do to both.
12 - 2 = 10
So now w is isolated and is equal to 10.
w = 10
You can check your work by replacing w with 10 in the equation.
10 + 2 = 12
please help me i will give u a thanks
Answers
Answer:
1024
Step-by-step explanation:
because its going by 4
Find the values of x and y.
X =
y =
Answers
Answer:
y=5
x=45
Step-by-step explanation:
I am not quite sure of x but I am positive for the value of y
Chris rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 75 cents for each mile driven. Chris had to pay
$167.24 when he returned the truck. For how many miles did he drive the truck?
M miles
Answers
Answer:
Chris drove the truck 203 miles.
Step-by-step explanation
So, first I subtracted the base free cost of the amount he paid and got $152.25. Then, I divided $152.25/0.75 and got 203. S0, that's how I got the answer. I subtracted the base free because we know he had to pay that initially and then I just divided the rest of the money he had to pay by 0.75 because he was charge 0.75 per mile driven.
What is the first step needed to solve (2/5)x - 6 = -16
Answers
Answer:
Add 6 to both sides
Step-by-step explanation:
The (usual) first thing to do when solving any equation is to simplify both sides of the equation. However, since we have nothing to simplify, we move onto the next step that'll be the first step: isolating the variable, x. To do so, we must do the inverse of subtracting 6 (which is adding 6).
Tarik filled his tank with 11 gallons of
premium gasoline. He paid $38.76. How
much did Tarik pay per gallon?
Answers
Solve the inequality for u 20>u+8
Answers
Answer:
u < 12
Step-by-step explanation:
20 > u + 8 ( subtract 8 from both sides )
12 > u , then
u < 12
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!
We can solve this equation in one step, which is Algebra, I'll start solving the problem now.
Algebra
We can start by simplifying the problem, [tex]20>u+8[/tex], we can subtract by 8 on each side to simplify the equation. I'll explain why afterwards.
[tex]20>u+8\\12>u[/tex]
As you can see we've subtracted by 8 on both sides, the reason this works is because when we do something to one side, we must do it to the other, which keeps the equation balanced.
We can prove this works by picking a random number for [tex]u[/tex] from our simplified version. For this case, lets pick 11.
We can see that if we plug it in to the first unsimplified equation, it works perfectly fine:
[tex]20>11+8?\\20>19[/tex]
We've proven that its correct.
So our final answer is [tex]u<12[/tex].
Cheers!