When you roll 3 dice, if if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose $2, the expected win is $1.25.
Given,
You roll 3 dice.
In each dice there will be 6 outcomes
Total number of outcomes = [tex]6^{3}=216[/tex]
Conditions are
You earn $10, if you get same numbersYou earn $5, if you get two numbers sameYou loss $2, if the numbers are all differentWe can find the number of each cases by using the combination method
Number of cases all the outcomes are same =6
Number of cases you get two numbers same = [tex]6C_{2}[/tex]×3!
=90
Number of cases the numbers are all different= 6×5×4
=120
Therefore the expected win = (6×10+90×5-120×2)÷216
=270÷216
= $1.25
Hence, when you roll 3 dice, if if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose $2, the expected win is $1.25.
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I WILL GIVE 25 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer: The answer is b
Step-by-step explanation: Simplify and expand it to determine it
Find a counterexample to show that the given conjecture is false.
If n is a real number, then n³>n.
Let [tex]n=0[/tex]. Then [tex]0^3 = 0[/tex] but 0 > 0 is a false statement.
Suppose that people check their coats in a checkroom. if all claim checks are lost and the coats are randomly returned, what is the probability that all the people will get their own coats back?
The probability that all the people will get their own coats back is 1/7.
What is probability?Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a suggestion is valid. The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates sureness. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A basic model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly plausible; the likelihood of "heads" rises to the likelihood of "tails"; and since no different results are conceivable, the likelihood of all things considered "heads" or "tails" is 1/2.
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sort Questions find the unknown size of angels in the following figures
We get the value of angle Q in the triangle PQR as 155 °.
We are given a triangle PQR.
We are also given that:
∠ P = 110 °
∠ R = 15 °
Now, we need to find ∠ Q.
We know that sum of the angles of a triangle = 180 °
This is called the angle sum property of a triangle.
So, we get that:
∠ P + ∠ Q + ∠ R = 180 °
Substituting the given values, we get that:
110 ° + ∠ Q + 15 ° = 180 °
125 ° + ∠ Q = 180 °
∠ Q = 180 ° - 125 °
∠ Q = 155 °
Therefore, we get the value of angle Q in the triangle PQR as 155 °.
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find an expression which represents the difference when (-5x 7) is subtracted from (9x 5)in simplest terms.
-14x + 2 is the expression which represents the difference when (-5x + 7) is subtracted from (9x + 5) in simplest terms, as obtained by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.
Now,
Given: Two expressions: (-5x + 7) and (9x + 5).
To find: Expression obtained when (-5x + 7) is subtracted from (9x + 5).
Finding:
By basic algebra, we can write:
=> ( -5x + 7) - (9x + 5) = ( -5x + 7) - 9x - 5
=> -5x - 9x + 7 - 5 = -14x + 2
Hence, -14x + 2 is the expression which represents the difference when (-5x + 7) is subtracted from (9x + 5) in simplest terms, as obtained by basic algebra.
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State which metric unit you would probably use to measure item.
Mass of a beach ball
The basic unit of mass of the ball in the metric system is the gram.
What is mass?The base units of length (distance), capacity (volume), and weight (mass) in the metric system are the meter, liter, and gram, respectively. We utilize units that are derived from metric units to measure smaller or greater quantities.
Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass.
Therefore, the basic unit of mass of the ball in the metric system is the gram.
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5) At West High School, 362 students take
Spanish. This number has been increasing
at a rate of 20 per year. The number of
students taking French is 259 and has been
decreasing at a rate of 3 per year. At these
rates, when will there be two times as
many students taking Spanish as taking
French?
Please help
Answer:
Step-by-step explanation:
In 6 years, because I subtracted 3 from 259 6 times and added 20 to 362 6 times.
The coordinates of the midpoint of GH¯¯are M(8, 0) and the coordinates of one endpoint are H(−2, 9)
Using the midpoint concept, the other endpoint of the segment is: G(18,-9).
What is the missing information?The problem asks for the coordinates of the other endpoint, given by point G.
What is the midpoint concept?The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
Hence the x-coordinate of G is found as follows:
8 = (x - 2)/2
x - 2 = 16
x = 18.
The y-coordinate of G is found as follows:
0 = (y + 9)/2
y + 9 = 0
y = -9.
The other endpoint of the segment is: G(18,-9).
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3x+5x-4y+9 pls help bro
Solution: 8x-4y+9
Step-by-step explanation:
Combine like terms
3x + 5x - 4y + 9
8x - 4y + 9
To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute 0 for x and solve for y.
x-intercept(s): (−9/8,0)
y-intercept(s): (0,9/4)
Please explain all the steps you used to get the answer.
The complete compound inequality is 9 <= 1.5x <= 12
How to complete the compound inequality?From the given figure, we have'
Height = x
Base = 3
The area of a triangle is
Area = 0.5 * Base * Height
So, we have
A = 0.5 * 3 * x
Evaluate
A = 1.5x
The compound inequality is given as
9 <= A <= 12
Substitute A = 1.5x in 9 <= A <= 12
9 <= 1.5x <= 12
Hence, the complete compound inequality is 9 <= 1.5x <= 12
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Mary, Tonya, Imani, and Luz were each painting identical-sized rooms. No one was able to finish in 1 day. The table shows the fraction of each room the girls painted.
Amount Painted
Which girl painted the most?
Imani painted the wall most
In mathematics, numbers can be classified into different types i.e. real numbers, natural numbers, integers, rational numbers, etc. This includes decimals. t is a standard form representing integers and non-integers.In algebra, a decimal is one type of number in which the whole and fractional parts are separated by a decimal point. The point between the integer and the fractional part is called the decimal point. For example, 34.5 is a decimal number.Decimal Numbers may be of different types, Recurring Decimal Numbers Non-Recurring Decimal Numbers Decimal Fraction
Mary painted 3/4 of the wall
3/4 = 0.75
Tonya painted 5/4 of the wall
5/7 = 0.71
Imani painted 11/13 of the wall
11/13 = 0.84
Luz painted 11/17 of the wall
11/17 = 0.64
Imani painted the wall most
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Whenever he participates a race, he is the winner. either he participates the race or he is sick. he is not the winner. therefor he is sick write the argument form and test its validity.
A statement 'He is not the winner, then, he is sick.' is a valid argument.
To test the validity of a given argument, we need to see if we can find a counter-example that makes one of the statements non-valid. If after analyzing the statements we can't find a counter-argument, then we can conclude that the argument is valid.
Here we will find that the argument is valid.
We can write given statement as:
1) If he participates in a race then he is the winner.
2) Either he participates in the race, or he is sick.
3) He is not the winner, then, he is sick.
Now, from the first statement, we know that this person participates in a race, he wins.
From the second statement we know that he only participates if he is not sick, we can rewrite that one as:
"If he is sick, then he does not participate in the race".
Finally, from the third one, if he does not win, then he is sick.
This makes sense, he only does not participate when he is sick, then the only races where he is not the winner, are these races where he does not participate, and he does not participate only if he is sick, then this is a valid argument.
Concluding, the 3 statements are valid, as we can't find any counter-argument to any of these 3.
Therefore, a statement 'He is not the winner, then, he is sick.' is a valid argument.
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3. Estimate √131 by finding what integers it falls
between. What integer is it closer to? Put all
three numbers on the number line to show
approximately where it would fall.
Answer:
this number falls between 11 and 12
Step-by-step explanation:
11 Squared is 121 and 12 squared is 144. 131 is between these numbers. It is closer to 11
find the direction cosines and direction angles of the vector. (give the direction angles correct to the nearest tenth of a degree.)
The direction cosines and direction angles will be - [tex]\frac{x}{r},\frac{y}{r},\frac{z}{r}[/tex] and
cos⁻¹([tex]\frac{x}{r}[/tex]), cos⁻¹([tex]\frac{y}{r}[/tex]),cos⁻¹([tex]\frac{z}{r}[/tex]) respectively.
The direction cosines of a specified vector, m = xi + yj + zk, are the cosines of the angles it makes well with x, y, and z axes.
The direction cosines of m are cos a, cos b, and cos c in the x, y, and z axes, respectively, if a forms the angles a,b and c (which are the direction angles) with the x, y, and z axes, respectively.
Let us consider equation as = [tex]xi + yj +zk[/tex]
vector of the equation will be - (x,y,z)
r = length of vector = [tex]\sqrt{x^{2} +y^{2} +z^{2} }[/tex]
The direction cosines will be -
[tex]\frac{x}{r},\frac{y}{r},\frac{z}{r}[/tex]
angles will be - cos⁻¹([tex]\frac{x}{r}[/tex]), cos⁻¹([tex]\frac{y}{r}[/tex]),cos⁻¹([tex]\frac{z}{r}[/tex])
Let us consider an example,
If we have vector as (1,2,3)
= i + 2j + 3k
= r = [tex]\sqrt{1^{2} +2^{2} +3^{2} }[/tex]
= [tex]\sqrt{14}[/tex]
Direction cosines will be -
[tex]\frac{1}{\sqrt{14} } , \frac{2}{\sqrt{14} }, \frac{3}{\sqrt{14} }[/tex]
Angles will be -
cos⁻¹([tex]\frac{1}{\sqrt{14} }[/tex]), cos⁻¹([tex]\frac{2}{\sqrt{14} }[/tex]),cos⁻¹([tex]\frac{3}{\sqrt{14} }[/tex])
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Isabel's car gets 33.5 miles per gallon. Her gas tank
holds 15.25 gallons of gas. How many miles can Isabel
drive on a full tank of gas?
A 48.75 miles
B 487.5 miles
C 510.875 miles
D 5,108.75 miles
John chose D as the correct answer. How did he get
that answer?
Isabel can drive 510.875 miles with a gas tank that holds 15.1 gallons of gas.
Given that, Isabel’s car gets 33.5 miles per gallon
Her gas tank holds 15.1 gallons of gas
To find the Number of miles can Isabel drive on a full tank of gas
Let "x" be the miles drive with 15.1 gallons of gas
From given,
1 gallon = 33.5 miles
15.25 gallon = x miles
This forms a proportion and we can solve the sum by cross multiplying
1 × x = 15.25 × 33.5
x = 510.875
Thus, Isabel can drive 510.875 miles on a full tank of gas
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The temperature was -6 f it rose to 0f what represents the change in temperature
3 -1 ___ 1/4 = < >
which symbol is right?
Answer:
Greater than.
Step-by-step explanation:
3 - 1 = 2, 2 is greater than 1/4 which is equal to 0.25.
State the property that justifies the statement.
If 3(x- 2/3)=4 , then 3x-2=4.
The distributive property is the property that justifies the statement.
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±ac Commutative: a . b = b. a Associative: a(b+c)= c(a+b) Identity: b.1=bFor the question, the number 3 was multiplied each term, then
3x - 3*2/3 = 4
3x - 6/3 = 4
3x - 2 = 4
Comparing the steps and results found, it is possible to note that the distributive property for multiplication was applied.
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A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2), what is the equation for a parallel street that passes through (2, −3)?
y = 3x + 11
y = 3x − 9
y equals negative 1 third times x plus 1
y equals negative 1 third times x minus 7 thirds
The equation for the parallel street that passes through (2, -3) is: B. y = 3x - 9.
How to Find the Equation of Parallel Lines?Two lines that lie parallel to each other will have a slope (m) that is of the same value. The equation can be written as y = mx + b in slope-intercept form.
Find the slope of the line that passes through (4, 5) and (3, 2):
Slope (m) = change in y / change in x = (5 - 2)/(4 - 3)
Slope (m) = 3/1
Slope (m) = 3
The slope of a parallel line would also be 3.
Substitute (a, b) = (2, -3) and m = 3 into y - b = m(x - a):
y - (-3) = 3(x - 2)
y + 3 = 3x - 6
Subtract 3 to both sides of the equation
y + 3 - 3 = 3x - 6 - 3
y = 3x - 6 - 3
y = 3x - 9
Therefore, the equation for the parallel street that passes through (2, -3) is: B. y = 3x - 9.
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16 houses on 2 blocks = houses per block
Answer:
0.125
Step-by-step explanation:
9.66 x 0.46 estimated
Answer:
10
Step-by-step explanation:
so just round to the ones below or above 5
what is the approximate value of this square root? 162‾‾‾‾√ enter your answer, rounded to the nearest tenth, in the box.
The square root of 162 to the nearest tenth is 12.7, estimated using the prime factorization method.
What is the square root of a number?
The square root of a number x is given by y, such that (y)2 = x. It is denoted by the symbol, ' √ '. For example, the square root of 4 is 2 and the square root of 169 is 13, etc.
Calculation of the square root of 162
We are given the number 162
Let us apply the prime factorization method to find the square root of 162
The prime factors of 162 are 2 × 81
The prime factors of 162 in pairs are 2 × (3 × 3) × (3 × 3)
Now, the square root of 162 is given by:
√162 = √ (2 × (3 × 3)2)
= 3 × 3 × √2
= 9 × √2
= 9 × 1.414
= 12.726
Hence, the square root of 162 up to the tenth place is 12.7.
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1 Latisha and Maisha are twins. They have a brother who is eleven years younger than
them and an older sister who is four years older. The sum of the ages of all four siblings
is 73. Find Latisha's age.
Select the correct answer.
Which statement corrects the error, or errors, in this definition?
In a dilation, each point in the preimage and its corresponding point in the image are at equal distances from a given line. Also, the line segment
joining two such points is perpendicular to the given line.
OA. A dilation is when an object moves in a circular arc around a point.
OB. A dilation proportionally stretches or compresses an object based on a given scale factor..
OC. A dilation moves points a specified distance along a line parallel to a specified line.
O D.
The definition is correct.
Answer:
A dilation proportionally stretches or compresses an object based on a given scale factor.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Simplify this expression-
-6(2 + x)
Answer:
-12 -6x
Step-by-step explanation:
I did this by distributing
-6 x 2 = -12
-6 x x= -6x
-12 -6x is your final answer
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)
Which statement about this figure is true?
It has reflectional symmetry with one line of symmetry.
It has point symmetry.
It has no reflectional symmetry.
It has rotational symmetry with an angle of rotation of 180°.
Freddy is 4 years older than 8 times his grandson's age. The sum of their ages is greater than 67.
What is the youngest age Freddy's grandson can be?
Answer:
eight is the answer
Step-by-step explanation:
........
Please help i will give out brainlist
Answer:
x = 16
Step-by-step explanation:
[tex]\frac{3x}{4}[/tex] + 3 = 15 (subtract 3 from both sides )
[tex]\frac{3x}{4}[/tex] = 12 ( multiply both sides by 4 to clear the fraction )
3x = 48 ( divide both sides by 3 )
x = 16
that is
subtraction / multiplication / division
Answer: ( not totally sure but I hope this helps)
Step-by-step explanation:
1. Given
2. Multiplication property of equality
3. Subtraction
4. Division property of equality
StarWatch Camping Site Charge per person: £5 per night Tent pitch: (ground surface) < 10 m² at £12 per night > 10 m² at £15 per night Special offer: For every 5 nights you stay, only pay for 4. Lila and Wassim are planning a stay at the StarWatch camping site. They will: ● share a tent between them, both stay for a total of 10 nights, • use a tent with a rectangular base measuring 2.5 by 4.2 metres. The holiday is just 9 weeks away and they each plan to save £12 per week from now until their holiday. Will they save enough money to cover all their camping site charges? If the answer is 'yes' say how much extra money they will save. You must show all your working.
Yes, Lila and Wassim saved the extra money of £16.
What is defined as the total cost?A total is a complete or whole amount, or "to total" means to add numbers or destroy something. In mathematics, you total numbers by having to add them together; the result is indeed the total. Whenever you add 8 and 8, you get 16.For the given data in question;
Charge/person for Camping Site : £5 per night
Charges for Camping Site Tent = £15 per night for Tent pitch > 10m²
calculate the tent pitch;
Tent Pitch = 2.5 × 4.2 = 10.5 > 10
Total charges for tent = £15 per night
As, 2 Lila and Wassim sharing Tent
Total charges per night = Charge/person + Charges for Camping Tent
= 2× £5 + £15
= £25 per night
For every 5 nights of the stay, pay is 4.
Cost for 10 nights for two persons.
Lila and Wassim have to pay the cost for 8 Nights;
Total charges = £25 × 8 = £200
Lila and Wassim each plan to save £12 per week for 9 weeks.
Thus, the total Saving = 2 × 9 × 12 = £216
total Saving = 216 > 200
As, total savings of Lila and Wassim are £216 which are greater than the £200 cost of camping.
The extra money saved is;
= £260 - £200
= £16.
Therefore, Yes, Lila and Wassim will save sifficient money to cover all camping charges with extra saved money of £16.
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TWO MORE QUESTIONS AND WILL GIVE BRAINLIEST TO PROPER ANSWER, NO SPAM
Answer: The answer is likely E/i
Step-by-step explanation:
1. Based by guesses here, multiply R on both sides, making it RI = E
2. Then, divide I on both sides, so RI/I = E/I
3. Becoming R = E/I