Probability Race game
Read the whole thing. Question 2 will be posted separately to make the question simple.
Question 1:
Why should you not play this game with Roland? Use probability to prove that
the game is unfair and Roland is likely to win. SHOW ALL YOUR WORK!
Answers
Answer:
see below
Step-by-step explanation:
There are 36 possible outcomes when rolling 2 die
P( number) = number of times the sum appears / total outcomes
p(1) =0/36
P(2) = 1/36
p(3) = 2/36
p(4) = 3/36
p(5) = 4/36
p(6) = 5/36
p(7) = 6/36
p(8) = 5/36
p(9) = 4/36
p(10) = 3/36
p(11) = 2/36
p(12) = 1/36
Since he picked first he has the greatest odds so he is most likely to win
Related Questions
Which of the following expressions represents the area, in square meters, of the regular decagon (10-sided polygon) with 3.25 meter-sides and a 5-meter apothem.
Answers
Answer:
A = P * a / 2
A = 81.25
Step-by-step explanation:
We have that there is a corresponding formula for a regular decagon, which depends on the apothem and the perimeter, it is the following:
A = P * a / 2
In this case, the perimeter is the sum of all the sides, that is, 10 sides, therefore:
P = 10 * 3.25
P = 32.5 meters
We replace:
A = 32.5 * 5/2
A = 81.25
Which means that for that regular decagon, the area is 81.25 square meters.
Simplify (x-5)+(X+1)
Answers
Answer:
2x - 4
Step-by-step explanation:
x - 5 + x + 1
→Add like terms (x and x, -5 and 1):
2x - 4
Carlos is five years older than twice his sister's age. Carlos is 13.
Which equation and solution correctly identifies his sister's age?
A.) 2 x + 5 = 13; x = 4
B.) 2 x - 5 = 13; x = 9
C.) 2 x - 5 = 13; x = 4
D.) 2 x + 5 = 13; x = 9
this is a multiple choice answer
Answers
Answer:
a. ) 4
Step-by-step explanation:
13-5= 8
8/2=4
Answer:
A.) 2 x + 5 = 13; x = 4
Step-by-step explanation:
Which answers are equal to the expression below? Check all that apply
Answers
Answer:
A, B, D, E, F
Step-by-step explanation:
Use the synthetic division shown to help factor the polynomial and solve the equation.
What are the solutions of the equation?
1, 4, and –5
1, –4, and 5
–1, –7, and 3
–1, 5, and 9
Answers
Answer:
1. x = -5 and x = 1
2. x = 5 and x = -1
3. no integral solutions
4. no integral solutions
Step-by-step explanation:
Answer:
1, 4, and –5
Step-by-step explanation:
on edge
Last question! I need help with showing my work! I already have the answer in the attached image below, thanks!
Answers
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\sqrt{\frac{4x^2}{3y} }[/tex]
= [tex]\frac{\sqrt{4x^2} }{\sqrt{3y} }[/tex]
= [tex]\frac{2x}{\sqrt{3y} }[/tex]
Rationalise the denominator by multiplying the numerator/ denominator by [tex]\sqrt{3y}[/tex]
Note that [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
= [tex]\frac{2x}{\sqrt{3y} }[/tex] × [tex]\frac{\sqrt{3y} }{\sqrt{3y} }[/tex]
= [tex]\frac{2x\sqrt{3y} }{3y}[/tex]
Lia has a dog and a cat. Together, the pets weigh 24 pounds. The dog weighs 2 times as much as the cat.
Answers
Answer:
The dog weighs 16 pounds, while the cat weighs 8 pounds
Step-by-step explanation:
Let's call the weight of the dog d, and the weight of the cat c.
d+c=24
d=2c
Substitute the second equation into the first:
(2c)+c=24
3c=24
c=8
d=24-8=16
Hope this helps!
HELLPPPP HELPPP PLEASEE
Answers
Answer:
| 4x - 6 | = - 6
Step-by-step explanation:
The absolute value function always produces a positive value.
| 4x - 6 | = - 6 ← negative value is not possible
Answer:
The first one
Step-by-step explanation:
For the second one x is equal to 11 bc -2 minus 11 is 9 which is a solution
The third one x is equal to 0 which is a solution
The last one x is equal to 4 which is a solution
There are no solution for the first on bc it does not equal to -6
Correct me if this is wrong
Angle BCD is a circumscribed angle of circle A. Angle BCA measures 40°. What is the measure of minor arc BD?
Answers
Answer:
100°
Step-by-step explanation:
From the image attached, line BC and line CD are tangents to circle A. Also, AB and AD are the radius of the circle. The tangent theorem states that the angle between a tangent and the radius is 90°. Therefore:
∠ABC and ∠ADC = 90°.
Given triangle ABC:
∠ABC + ∠BCA + ∠CAB = 180°
∠CAB = 180 - ∠ABC - ∠BCA = 180 - 90 - 40 = 50
∠CAB = 50°
From the two tangent theorem, tangents that meet at the same point have the same length. This means BC = CD, ∠ACD = ∠BCA, ∠CAB = ∠CAD.
arc BD = ∠CAB + ∠CAD = 50 + 50
arc BD = 100°
Answer:
D.
Step-by-step explanation:
Please help! Correct answer only!
Aisha runs a doggy daycare, where 8 dogs are currently enrolled. The collection of dogs includes 6 of Aisha's favorite type of dog, bulldogs.
If Aisha randomly picks 5 dogs to play in the park during the first time slot, what is the probability that all of them are bulldogs?
Write your answer as a decimal rounded to four decimal places.
Answers
Answer:
Probability ≈ 0.1071
Step-by-step explanation:
Consider steps below;
[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]
[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]
[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]
Solution; Probability ≈ 0.1071
Answer:
The probability is 0.107
What is the area of a rectangle with length (3^2)^2 meters and width of 3^2 meters?
Answers
Answer:
729m^2
Step-by-step explanation:
Area of rectangle = length x width
From the question, we know that length = 3^2^2 = 81 ( three squared is 9. Nine squared is 81)
width = 3^2 = 9.
Now for the area: length x width = 81 x 9 = 729m^2.
Please mark brainiest.
So,
Here, length given is [3^2]^2 = 3^4 which is = 81
Width is 3^2 which is = 9
Therefore,
l*b= 81*9=729
Answer is 729 m^2
Hope it helps!
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero. It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero. It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero. It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Answers
Answer:
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Step-by-step explanation:
Points:
(7, 10) and (7, 20)Slope-intercept form:
y= mx+bslope is:
m= (y2-y1)/(x2-x1)= (20-10)/(7-7)= 10/0,denominator of the fraction is zero, we can't divide by zero, so this line has no slope
----------
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
no, numerator is not zeroIt has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
no, it has no slopeIt has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
no, numerator is not zeroIt has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
yesAnswer:
D;
Step-by-step explanation:
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
You are in the process of making ice cream. The recipe says heat all ingredients to 50C and cools it for 5 hours in a freezer. If the cooling rate of the freezer is 12C per hour. What will be the temperature of the mixture after 5 hours?
Answers
Answer:
-10C
Step-by-step explanation;
The mixture is 50C and the freezer cools at 12C per hour which means in 5 hours the temperature of the mixture would have decreased by 60C because 12C * 5 hrs is 60C. You then do the math;
50C - 60C = -10C
(WILL MARK BRAINLIEST FOR THE FIRST TO ANSWER) The square of a number is equal to two less than three times the number. What are two possible values of the number?
A. 1,2
B. -1,2
C. 1,-2
D. -1,-2
E. 2,3
Answers
Answer:
Option A
Step-by-step explanation:
Let us take this number as x, translating this description of the equation into mathematical language;
[tex]x^2 = 3x - 2[/tex]
Now let us solve for x;
[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]
32/20 fully reduced in prime numbers
Answers
Answer:
8/5
Step-by-step explanation:
EL NUMERADOR Y EL DENONINADOR SE DIVIDEN AL MISMO TIEMPO
ENTRE LOS NÚMEROS PRIMOS EN ORDEN HASTA QUE YA NO PUEDAN
DIVIDIRSE.
Can someone please help me
Answers
Answer:jss needed point srry
Step-by-step explanation:
If two triangles have three corresponding angles and three corresponding sides that are equal in measure, are two triangles necessarily congruent ? Why?
Answers
Answer:
the two triangles are congruent because they have the same sides and angles.
Answer:
Yes, they are congruent. Because the sides and the angles are the same.
Step-by-step explanation:
Select the correct answer. Consider these equations: f(x)=[tex]x^{3}[/tex]+3 g(x)=[tex]x^{2}[/tex]+2 Approximate the solution to the equation f(x) = g(x) using three iterations of successive approximation. Use this graph as a starting point.
Answers
Answer:
A
Step-by-step explanation:
The solution to these two graphs will be when they are equal. Therefore:
[tex]x^3+3=x^2+2 \\\\x^3-x^2+1=0 \\\\x\approx -0.755\approx -\dfrac{13}{16}[/tex]
Hope this helps!
Answer:
-13/16
Step-by-step explanation:
f(x)=x^3+3
g(x)=x^2+2
We know the solution is around -1
x^3+3 = x^2 +2
Subtract x^2+2 from each side
x^3 -x^2 -1 = f(x)
We need to find the derivative
3x^2 -2x = f'(x)
Newtons method of successive approximation states
xn+1 = xn -f(xn) / f'(xn)
Function
x3−x2+1
Derivative
x⋅(3⋅x−2)
x
-0.75488
Iterations
Step x F(x) |x(i) - x(i-1)|
x1 -0.8 -0.152000 0.152000
x2 -0.75682 -0.006259 0.006259
x3 -0.75488 -0.000012 0.000012
The approximate answer is -0.75488
The closest answer given is -13/16
9.3 × 10^{7} - 3.4×10^{6} = ?
Answers
Answer:
8.96 x 10^7
Step-by-step explanation:
9.3 x 10000000 - 3.4 x 1000000 = 93000000-3400000 = 89600000
89600000 can also be written as 8.96 x 10^7
What is the slope of the line shown below?
Answers
Answer:
4
Step-by-step explanation:
(9 - 1) / (3 - 1) = 8/2 = 4
Answer:
4
Step-by-step explanation:
To find the slope using two points
m= (y2-y1)/(x2-x1)
= (9-1)/(3-1)
= 8/2
= 4
Please help I’m struggling with this one :((
Answers
Answer:
Domain: { 2,3,4,5}
Step-by-step explanation:
The domain is the inputs to the function
In this case it is the x values
Domain: { 2,3,4,5}
Answer:
C. (2,3,4,5)
Step-by-step explanation:
The domain is x and the range is y.
10. Salt and sand mixtures are often used on icy roads. When the mixture is 1 point
dumped from a truck into the staging area, it forms a cone-shaped mound
with a diameter of 100 feet and a height of 60 feet. What is the volume of
the salt-sand mixture?*
Answers
Answer:
The volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].
Step-by-step explanation:
We have,
Diameter of a cone-shaped mound is 100 feet
Height of a cone-shaped mound is 60 feet
It is required to find the volume of the salt-sand mixture. The volume of a salt-sand mixture which is in the shape of cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
r is radius of cone, r = 50 feet
So,
[tex]V=\dfrac{1}{3}\times 3.14\times (50)^2\times 60\\\\V=157000\ \text{feet}^3[/tex]
So, the volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].
Clothing price (100 percent) is 26 dollars and 50 cents, Added tax is 5 percent, and total cost is blank. Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes? Step 1: (Original Price)(Tax Percent) = Amount of Tax Step 2: Original Price + Amount of Tax = $
ANSWER PLS
Answers
Answer:
$27.83
Step-by-step explanation:
If Darrien spends 26.50, multiply that by 0.05 (26.50×0.05) which is 1.325 which rounds to 1.33. $1.33 is the amount of tax he has to add. For the full price you would do 26.50+1.33 to get 27.83.
Answer:
The answer is 27.83
Step-by-step explanation:
Thank the person above me.
Plzzzz help fast !!
One month Chris Rented 3 movies and 2 video games for a total of $15 . the next month he rented 8 movies and 4 video games for a total of $33. find the rental cost for each movie and each video game
Answers
Answer:
Both are a total of $3
Step-by-step explanation:
Because if you add 3+2= 5 and then you divided; 15÷5= 3, then you add 8+4=12, and you do the same like the other; 33÷12= 2.75 and if you round it, the answer will be 3.
So in conclusion both the movies and the video games are $3
If there is a triangle and the sides are 8&12 and 14 what is the missing angle
Answers
Answer:
8/12 = 14/x
Cross multiplication so
8x=14×12
8x=168
X=168/8
X=21
You inherited land that was purchased for $30,000 in 1960. The value of the land increases by approximately 5% per year. What will be the approximate value of the land 61 years later in 2021
Answers
Answer:
$91,500
Step-by-step explanation:
The land appreciates 5% of 30k which is $1,500 and multiply that by 61
The approximate value of the land in 2021 will be $588,394.356.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Value of the land in 1960 = $30,000
Each year, the value is increasing approximately 5 % = 5/100 = 0.05.
Value of the land in 1961 = 30,000 + (30,000 × 0.05)
= 30,000 (1 + 0.05)
= 30,000 × 1.05
Value of the land in 1962 = (30,000 × 1.05) + (30,000 × 1.05 × 0.05)
= (30,000 × 1.05) (1 + 0.05)
= (30,000 × 1.05) (1.05)
= 30,000 × (1.05)²
So each year previous value is multiplied with 1.05.
Value of the land after n years = 30,000 × (1.05)ⁿ
Value of the land after 61 years = 30,000 × (1.05)⁶¹
= 588,394.356
Hence the approximate value of the land in 2021 is $588,394.356.
Learn more about Multiplication here :
https://brainly.com/question/14332252
#SPJ2
1
A recipe calls for
cup of milk. If you make 3
times the recipe, how much milk do you need?
2
O
cups
cups
1
2 1 / 2
cups
hose
cups
Answers
Answer:
I don't really understand your question, but I still think I can explain.
Step-by-step explanation:
The original recipe is doing the recipe once. If you want to make the recipe three times bigger, you have to do all of the ingredients three times bigger, including the milk.
Three times bigger also can be written as 3 × _
So whatever the recipe says for the milk, put the number in the blank and multiply it by three.
Answer:
2 1/3
Step-by-step explanation:
Dwie proste przecinają się, tworząc kąty ostre i rozwarte. Miara kąta ostrego jest dwukrotnie mniejsza od miary kąta rozwartego. Oblicz miarę kąta rozwartego daje naj
Answers
Answer:
The obtuse angle is 120°.The acute angle is 60°.Step-by-step explanation:
This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.
We can form the expression
[tex]A = \frac{O}{2}[/tex]
Where [tex]A[/tex] is an acute angle and [tex]O[/tex] is an obtuse angle.}
Using all the given information, we have
[tex]O + \frac{O}{2}=180\°[/tex]
Solving for [tex]O[/tex], we have
[tex]\frac{3O}{2}=180\\ O=120\°[/tex]
Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.
I WILL GIVE YOU BRAINLIEST!!!!!
Answers
Answer:
the answer is => c = 5
...
Answer fast!!
The diagram represents three statements about teachers: p, q, and r.
For how many teachers are both p ∧ r true and q false?
2
4
5
9
Answers
Answer: 5
Step-by-step explanation:
For how many teachers are both p ∧ r true and q false?
(p ∧ r) ∧ (q')
q' = q complement (not in q)
p intersection r = (p ∧ r) = 9
both p ∧ r true and q false = (8+6) - 9
both p ∧ r true and q false = 14 - 9 = 5
OR
p + r - p ∧ r
8 + 6 - 9 = 14 - 9 = 5
Answer:
The answer is C (5) on Edge.
Step-by-step explanation: