Answer: The expected value is $0.32
Step-by-step explanation:
The expected value can be calculated as:
EV = ∑xₙ*pₙ
Where:
xₙ is the n-th event.
pₙ is the probability of the n-th event.
First, let's see the events in this situation and the probability of each event.
Lossing $1.
This happens when you roll all different numbers.
To calculate the number of combinations where you roll all different values, we first need to count the number of possible options for each roll, this is:
First dice: you have 6 options
Second dice: You have 5 options, because we remove the option that was rolled in the first dice.
Third dice: You have 4 options, because we removed the two outcomes showed in the two previous rolls.
Then the number of combinations is:
c = 6*5*4 = 120.
And the total number of combinations for rolling 3 dice is equal to the product between the number of outcomes for each dice, each dice has 6 possible outcomes, then the total number of outcomes is:
C = 6*6*6 = 216
The probability of rolling all different numbers will be equal to the quotient between the number of combinations where you roll all different values and the total number of combinations:
P₁ = 120/216 = 0.56
In the other case, where you roll at least two equal outcomes, you win $2.
The probability for this case will be the complement of the previous one, then the probability can be calculated as:
P₂ = 1 - P₁ = 1 - 0.56 = 0.44
Then the expected value will be:
EV = -$1*0.56 + $2*0.44 = $0.32
The expected value is $0.32
0.095-20/5=
Write it as a decimal
Answer:
-3.905
Step-by-step explanation:
0.095 - 20/5
0.095 - 4
-|4-0.095|
-|3.905|
-3.905
3x-(8x+4)=
pppppppppppppppppppppppllllllllllllllllllssssssssss
Answer:
-5x+4???
Step-by-step explanation:
I DON'T KNOW I'M SORRY
Answer:
-5x - 4
Step-by-step explanation:
3x - (8x + 4)
3x -8x -4
-5x - 4
Select the statement that indicates that the triangles in each pair are congruent.
50 points
Answer:
D. ∆XVW ≅ ∆XBC
Step-by-step explanation:
Angle X = Angle X (vertical angles are congruent)
Angle V = angle B (corresponding angles are congruent)
Angle W = angle C (corresponding angles are congruent)
The three angels in ∆XVW are congruent to the three corresponding angles in ∆XBC.
Therefore, the statement that indicates both triangles are congruent is:
∆XVW ≅ ∆XBC
A typical credit card company charges 18% annual interest,
compounded monthly, on the unpaid balance. If your current balance is
$520 and you do not make a payment for 6 years, how much will you
owe? Answer rounded to the whole number
Answer:
$1,519
Step-by-step explanation:
Given that :
Balance = principal = $520
Time (t) = 6 years
Annual. Interest rate (r) = 18% = 0.18
Using the compound interest formula:
A = P(1 + r/n)^nt
n = number of times interest is applied per period ; A = final amount
Since interest is compounded monthly, n = 12
A = 520(1 + 0.18/12)^(12 * 6)
A = 520(1 + 0.015)^72
A = 520(1.015)^72
A = 520(2.9211579)
A = 1519.0021
Hence, final amount = $1519
Find the area round to the nearest 10th if necessary
Answer:
5th
Step-by-step explanation: because its the half and the closest area of the figure
Ask any question. i gottu
Answer:
why?
Step-by-step explanation:
Answer:
..is cereal a soup?
Step-by-step explanation:
is it tho?
Chris bought c tickets to a movie for $8 each. Michele bought m tickets to a movie for $8 each. Which expression can be used to find the total amount Chris and Michele spent for these tickets?
Answer:
8c+8m
Step-by-step explanation:
c tickets are $8 a piece and m tickets are also $8 a piece. as an expression, the equation is not completed and cannot be completed until we know the value of the missing variables. to find the total, you must add the total amount of tickets Chris bought for 8 dollars and add that to the total of tickets Michele bought for 8 dollars
Your friend finds the measure of the exterior angle shown. Is your friend correct?
Answer:
will i think that's true
Step-by-step explanation:
I hope this helps you
Answer:
I think that it is yes
Step-by-step explanation:
Hope this helped have an amazing day!
At a football match, 10 men bought either a pie or a cup of
coffee. A pie costs 60p and a coffee costs 50p. The total
amount spent on pies and cups of coffee was £5.80. How many
of each must have been bought? (show all your working)
Answer:
8 pies and 2 coffees
Step-by-step explanation:
10 men bought pie or a cup of coffee.
x=pie
y=coffee
x+y=10
0.6x+0.5y=5.8
0.6x+0.6y=6
0.1y=0.2
y=2
x=8
Hope this helps plz hit the crown :D
Georgette has purchased award plaques for her company’s conference. Each plaque
costs $7.50, and Georgette paid a one-time shipping fee of $40 for the order. Calculate the total cost for the order based upon the number of plaques purchased.
i need the slope
Answer:
y=1/7.50x+40
Step-by-step explanation:
I doubled checked myself on desmos and it worked. You start at 40$ because you pay that no matter what. For each one they buy the price goes up by 7.50$.
200 people purchase a lottery ticket. Three winning tickets will be selected at random. If first prize is $100, second prize is $50, and third prize is $5, how many ways can the prizes be awarded?
You have 15 marbles in a bag; 5 are red. If you pull out five marbles in a row and don't put
them back in, what are your chances of pulling all 5 red marbles? Decimal answer please.
Step-by-step explanation:
0.33 so says my mother bc she divide
Answer:
The probability of drawing a different marble is 0.25. The probability of drawing a red marble = 0.5
I do not know if this is correct please forgive me if I am wrong.
If I am right hope this helps!
1.) Name the corresponding
sides and angles.
Please help!!!!!!!!!
Answer:
$42.75
Step-by-step explanation:
18.80+23.95=$42.75
A family went to a restaurant. The total cost of the meal was $48.30. The family had a coupon for 20% off the total. What was the final cost?
Answer:
$38.64
Step-by-step explanation:
to find the percent off of the original price, multiply 48.30 to 20. then, move the decimal over twice.
48.30
x 20
----------
966 ---------> $9.66 off
then subtract that from 48.30.
$38.64 is you answer.
give me brainliest
WILL GIVE BRAINLIEST
Answer: x = 28
Step-by-step explanation:
Trust me :)
5/6=1/3+d
Thank you for the help and have a good day :)
Answer:
d = 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
5/6 = 1/3 + d
Step 2: Solve for d
Subtract 1/3 on both sides: 5/6 - 1/3 = dRewrite fraction: 5/6 - 2/6 = dSubtract: 3/6 = dSimplify: 1/2 = dRewrite: d = 1/2Write an expression for 2 times the difference of 8 and d
Answer:
2(8-d)
Step-by-step explanation:
16 - 2d
Answer:
2 x (8 - d)
Step-by-step explanation:
2 times means multiply by 2
difference of 8 and d means 8 minus d → 8 - d
3. Lunch
Steven owns a restaurant that specializes in steak burgers! 4 burgers and 3 fries cost $24.50. If a burger costs $5, how much is each order of fries?
LET X =
EQUATION:
5. Dinner
The restaurant is full! There are some four-person tables and 8 tables with couples. If there are 56 people here, how many four-person tables are there?
LET X =
EQUATION
7. Dessert
Stuart’s bought a cake and 6 servings of ice cream. The cake was $12 and the total bill was $33. How much was each order of ice cream?
LET X =
EQUATION
Step-by-step explanation:
3)
4(5)+3x=24.50
20+3x=24.50
-20 -20
3x=4.50
/3 /3
x=$1.50
5)
4x+2(8)=56
4x+16=56
-16 -16
4x=40
/4 /4
x=10 tables
7)
1(12)+6x=33
12+6x=33
-12 -12
6x=21
/6 /6
x=$3.5
The answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
3)
Let x be the cost of each fry.
4×5 + 3x = 24.50
20 + 3x = 24.50
3x = 4.5
x = $1.5 each fry
5)
Let x be the number of tables for a four-person.
Couple means two persons.
56 - 2×8 = 4x
4x = 40
x = 10 four-person tables
7)
Let x be the cost of each order of ice cream:
12 + 6x = 33
x = $3.5 each order of ice cream.
Thus, the answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
2a. A bicycle is $85. The tax is 6%. How much is the tax?
7
Free fall reaches 216km per hour. What is rate in meters per second.? How many meters fall during 20 seconds free fall?
Given,
Rate of free fall = 216 km/h
Solution,
km/h to m/s is converted as follows :
[tex]216\ \dfrac{km}{h}=216\times \dfrac{1000\ m}{3600\ s}\\\\=60\ m/s[/tex]
So, the rate of fall is 60 m/s.
If t = 20 s
Assume, initial velocity = 0
It will move under the action of gravity.
Using equation of motion,
[tex]h=ut+\dfrac{1}{2}gt^2\\\\h=0+\dfrac{1}{2}\times 10\times 20^2\\\\h=2000\ m[/tex]
Hence, this is all for the solution.
The answer to my question.
Answer:
145°
Step-by-step explanation:
As per the given information: quadrilateral ABCD is a parallelogram.
[tex] m\angle B + m\angle DCB =180\degree \\[/tex]
(adjacent angles of a parallelogram)
[tex] 110\degree + m\angle DCB =180\degree \\
m\angle DCB =180\degree - 110\degree \\
m\angle DCB =70\degree\\
m\angle DCG=\frac{1}{2} m\angle DCB \\(\because GC \: bisects \: \angle DCB) \\
m\angle DCF=\frac{1}{2}\times 70\degree... (\because C-G-F) \\
m\angle DCF=35\degree\\
m\angle BFC = m\angle DCF = 35\degree\\ (Alternate \: \angle s) \\\\
m\angle BFC + m\angle CFA = 180\degree\\ (straight \: line \: \angle s) \\\\
35\degree + m\angle CFA= 180\degree\\
m\angle CFA = 180\degree-35\degree \\\\
m\angle CFA= 145\degree \\\\
\huge\purple {\therefore m\angle GFA = 145\degree} \\(\because C-G-F) \\[/tex]
If P is the circumcenter of triangle ABC, find each measure.
Find AP.
B
11x – 14
D
E
А
F
С
6x + 1
Answer:
Step-by-step explanation:
Hhhh
Answer: 19
Step-by-step explanation:
Did it
The length of a rectangle is twice its width. Find its area, if its perimeter is 7 1/3 cm.
Answer:
241/81 cm^2
Step-by-step explanation:
[tex]2\: lenghts = wide\\\\lenght=x\\\\2x=wide\\\\Perimeter = 2(wide+lenght)\\\\P=2(2x+x)\\\\P=2(3x)\\\\P=7\frac{1}{3}\\\\\frac{22}{3}=6x\\\\x=\frac{22}{3*6}\\\\x=\frac{11}{9}\\\\width = 2x=2(\frac{11}{9})=\frac{22}{9}[/tex]
[tex]Area = lenght\times width\\\\Area = \frac{11}{9}\times\frac{22}{9}\\\\A=\frac{11*22}{9*9}\\\\A=\frac{242}{81}cm^2[/tex]
Answer:
[tex]2\frac{80}{81}[/tex] cm²
Step-by-step explanation:
A = lw
P = 2(l + w)
~~~~~~~~~~~
l = 2w
2(2w + w) = [tex]7\frac{1}{3}[/tex]
2(3w) = [tex]\frac{22}{3}[/tex]
3w = [tex]\frac{11}{3}[/tex]
w = [tex]\frac{11}{9}[/tex]
l = [tex]\frac{22}{9}[/tex]
A = [tex]\frac{22}{9}[/tex] × [tex]\frac{11}{9}[/tex] = [tex]\frac{242}{81}[/tex] = [tex]2\frac{80}{81}[/tex] cm²
Two adjacent sides of a parallelogram are 7cm and 10cm respectively.Find its perimeter
Answer:
Step-by-step explanation:
Perimeter=2(10+7)
=2(17)
=34cm
What is the solution to the rational equation x over x squared minus 9 plus 1 over x minus 3 equals 1 over 4x minus 12? (1 point)
Step-by-step explanation:
x²/(x²-9) + 1/(x-3) = 1/(4x-12)
4x² + 4(x+3) = 1
4x² + 4x + 11 = 0
Since the discriminant is negative, there are no real solutions.
The distance from Greg's house to Tanya's house is 7/10 of a mile. Which number correctly shows the number of miles a decimal?* Greg's house C Tanya's house Homile mile 07.10 7.0 0.7 0.07
Answer:
7 divide by 10=0.7 so 0.7 is the correct answerType the correct answer in each box. Use numerals instead of words.
Renee and David plan to file taxes as married filing jointly. They have a combined taxable income of $51,325. Use the table to determine the amount of tax due, and calculate their effective tax rate, rounding to the nearest tenth.
Answer:
the answer is 6766 and the percent is 13.2
Step-by-step explanation:
100 on the plato test
solve for x and y :
9 + 12i = 3x + 4yi
Answer:
27
Step-by-step explanation:
What is the equation relating x and
y together?
X
10
15
20
25
30
y=[?]x +