Answers
Answer:
8/33
Step-by-step explanation:
Related Questions
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
Compare the rules of two games:
Game A: Two six-sided dice are thrown.The numbers on the dice determine which player gets a point.Player 1 gets a point if the product of the numbers on the dice is even.Player 2 gets a point if the product is odd.
Game B: Two six - sided dice are thrown.The numbers on the dice determine which player gets a point.Player 1 gets a point if the sum of the numbers on the dice is even.Player 2 gets a point if the sum is odd.
Which statement accurately describes whether these games are fair?
A: Both Game A and Game B are fair.
B: Game A is not fair,and Game B is fair.
C: Neither Game A nor Game B is fair.
D: Game A is fair,and Game B is not fair.
Answers
Answer: Choice B
Game A is not fair, and game B is fair.
==============================================================
We'll start with game A.
The sides of the dice are {1,2,3,4,5,6}
There are 6*6 = 36 ways to roll two dice.
If we roll two odd numbers, say 3 and 5, the product is odd because 3*5 = 15.
If any of the numbers are even, then the product is even. Eg: 4*5 = 20 or 2*6 = 12.
To be an even number, 2 must be a factor.
So you can probably see that it's more likely to get an even number product considering that in order to get an odd product, both values must be odd (which narrows the selection pool). We can say that game A is not fair. It favors player 1 more. If you're sure about this, then I recommend looking at a multiplication table but only focus on the first 6 rows and 6 columns. Ignore the row and column that has 0s in it.
------------------------------
Now onto game B
The rules are nearly the same, except now instead of multiplying the dice values, we add them up.
We still have 6*6 = 36 outcomes.
Here are some handy rules we'll take into account
even+even = eveneven+odd = oddodd+odd = evenIf the first dice rolls to '1', then there are 3 ways to get an even number (rolling either 1,3,or 5 on the second dice) and there are 3 ways to get an odd number (rolling either 2,4,or 6 on the second dice). We can see that there are the same number of ways to get an even sum or an odd sum. Apply this in general to any result that the first dice shows, and this basically leads to the conclusion that half of the 36 sums are even, and the other half are odd. We have a fair game now. Refer to a sum of dice chart if you need more convincing.
Answer:
Game A is not fair, and game B is fair.
Step-by-step explanation:
test on iready
someone pls help ill give you a kiss and a cookie fi you help meee
for the point (6,8) find the csc theta and sec theta
Answers
Answer:
cscθ = 5/4, secθ = 5/3
Step-by-step explanation:
First, let's view the drawing that I have attached, with the dot in the bottom left representing the origin. We know that cosecant and secant are the reciprocals of sin and cos respectively, and in order to find sin and cos, we must find the opposite, adjacent, and hypotenuse sides. The hypotenuse is opposite the right angle, equal to √(8²+6²) = 10
Next, we can find sin and cos of θ . sinθ = 8/10=4/5, making cscθ the reciprocal of 4/5, or 5/4
Similarly, cosθ = 6/10=3/5, and secθ = 5/3
−12 as a ratio of two integers.
Answers
Answer:
-12 can be written as the ratio of -24 and 2, for example.
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by the division of a by b, that is:
[tex]r = \frac{a}{b}[/tex]
−12 as a ratio of two integers.
Here, we want any division in which the result is -12. One example is:
[tex]-12 = \frac{-24}{2}[/tex]
-12 can be written as the ratio of -24 and 2, for example.
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Kellen is saving for retirement. He deposits $325 each month at 3.2% annual interest for 20 years. According to his
calculations, at the end of 20 years he should have $109, 061.81 in his account. How much of this did Kellen
contribute and how much of this is interest?
Answers
Answer:
PRT%
Step-by-step explanation:
PRT
[tex] = 320 \times 2.3 \times 20 \div 100 = 1472[/tex]
If you know two corresponding sides of two triangles and you know that the corresponding angles are equal, how can you find out if they are similar triangles? a. the other angles are proportional c. ratios of the sides will be equal b. the vertical angles will be congruent d. ratio of the sides will not be equal Please select the best answer from the choices provided A
Answers
Answer:
I would identify the proportions of the corresponding sides, because that would allow you to identify whether or not the triangles are similar. You could also identify if two triangles are similar using
-SSS (side-side-side) which would tell you if all three corresponding sides are congruent
-SAS (side-angle-side) which would tell you if two sides and the angle between them are congruent
-ASA (angle-side-angle) which would tell you the two angles and the side between them are congruent
-AAS (angle-angle-side) which would tell you if two angles and a non-included side are congruent. You triangles may have all of these, or just one, but it will help you identify the similarity between triangles
Identify the solutions to the quadratic equation.
Check all that apply.
x2 + 3x-28 = 0
D A. X=4
B. X= 3
O C. x= -5
O D. X = 28
O E. x= -7
Answers
Answer:
A and E
Step-by-step explanation:
x²+3x-28=0
x²+7x-4x-28=0
x(x+7)-4(x+7)=0
(x-4)(x+7)=0
x=4, x= -7
Please give brainliest if it helps
The length of a rectangular wall is 16.5 feet. The height of the wall is 8.625 feet. Cameron determines the area of the wall to be 1423.125 square feet. Which best explains the reasonableness of Cameron’s solution?
Cameron’s solution is reasonable because there are four decimal places in the factors and four decimal places in the product.
Cameron’s solution is reasonable because there are three decimal places in the factors and three decimal places in the product.
Cameron’s solution is unreasonable because 17 times 9 is 153, and 153 is not close to his product.
Cameron’s solution is unreasonable because 10 times 10 is 100, and 100 is not close to his product
Answers
Answer:
Cameron’s solution is unreasonable because 17 times 9 is 153, and 153 is not close to his product.
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle, of length l and height h, is given by:
[tex]A = lh[/tex]
The length of a rectangular wall is 16.5 feet. The height of the wall is 8.625 feet.
This means that [tex]l = 16.5, h = 8.625[/tex]
Estimate of the area:
To use an "easy" multiplication, lets consider [tex]l = 17, h = 9[/tex]. So
[tex]A = lh = 17(9) = 153[/tex]
Cameron determines the area of the wall to be 1423.125 square feet.
Very far from the area of 153, which means that he made a confusion with the decimal places. Thus, the correct answer is:
Cameron’s solution is unreasonable because 17 times 9 is 153, and 153 is not close to his product.
Select the correct answer.
What is the solution to the equation?
A.
-2 and -7
B.
2 and 7
C.
-2
D.
7
Answers
Answer:
D
Step-by-step explanation:
7 is it because it is positive
It is presentation day in class and your instructor is drawing names from a hat to determine the order of the presentations. If there are 1616 students in the class, what is the probability that the first 22 presentations will be by Drake and Todd, in that order
Answers
Answer:
[tex]\frac{1}{240} = 0.0042[/tex] = 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, since the order in which the students are chosen is important, the permutations formula is used to solve it.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Desired outcomes:
Drake then Todd, so only one outcome, which means that [tex]D = 1[/tex]
Total outcomes:
Two students from a set of 16, so:
[tex]T = P_{16,2} = \frac{16!}{14!} = 16*15 = 240[/tex]
What is the probability that the first 2 presentations will be by Drake and Todd, in that order?
[tex]p = \frac{D}{T} = \frac{1}{240} = 0.0042[/tex]
[tex]\frac{1}{240} = 0.0042[/tex] = 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.
25 POINTS!!!!!!
Which is true about the solution to the system of inequalities shown? y<1/3x-1
Answers
Answer:
All values that satisfy [tex]y[/tex] ≤ [tex]\frac{1}{3} x-3[/tex] are solutions
Step-by-step explanation:
The reason why the other equations solutions aren't solutions are because it doesn't satisfy the second equation, but the second equation satisfy both equations because the solutions of the second equations will be in both equations.
Hope this helps
CAN SOMEONE PLEASE HELP ME GOOD, I need this to graduate ): 5. Given that AABC - ADEC, find the
value of x.
Answers
Answer:
ans: 4
Step-by-step explanation:
corresponding sides are proportional since given triangle are similar triangle, I.e
(4/5.5) = { (2x+8)/(6x-2)}
8/11 = ( x+ 4 ) / ( 3x - 1 )
8( 3x - 1 )= 11( x + 4 )
24x - 8 = 11x + 44
13x = 52
x = 4
If 12 girls can sweep a room in 20hours, how many hours will it take 8 girls to perform the same task, assuming they are sweeping at the same rate?
Answers
Answer:
30 hour
Step-by-step explanation:
girls time
12 20 hour
8 x(let)
now,
12/8=x/20
12×20=8×x
240=8x
x=240/8
x=30,,
Help mew with this please
Answers
Step-by-step explanation:
There are many ways
-1 - 1 = - 2
-5 + 3 = -2
Answer:
(-3+1) and 1,000,000+(-1,000,002)
Y=x^2-x what's the domaine and range
Answers
Answer:
y = 0 domain is all real numbers and range is 1 i believe
Step-by-step explanation:
hope this helps
Solve for x in the triangle. Round your answer to the nearest tenth
Answers
Step-by-step explanation:
[tex] \tan(67) = \frac{x}{7} \\ 2.355852366 = \frac{x}{7} \\ x = 16.49 = 16.5[/tex]
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answers
Answer:
Daniel traveled further by 2.73 miles
Step-by-step explanation:
To find the total distance traveled simply multiply average speed times time
For Wendy
She traveled for 3.9 hours at a speed of 68.3 mph
So total distance traveled = 3.9 * 68.3 = 266.37 miles
For Daniel
He traveled for 4.5 hours at a speed of 59.8 mph
So total distance traveled = 4.5 * 59.8 = 269.1 miles
As you can see Wendy traveled 266.37 miles and Daniel traveled 269.1 miles
Daniel traveled further
To find how much further we simply subtract distance Daniel traveled (269.1) from distance Wendy traveled (266.37)
269.1 - 266.37 = 2.73
So Daniel traveled further by 2.73 miles
HELP ASAP Which expression is equivalent to this polynomial expression?
(2x^2 - 3y^2)(4x^4 + 6x^2y^2 + 9y^4)
choices in picture
Answers
Answer:
B, if you have any questions how I did anything, or questions in general, let me know.
Step-by-step explanation:
First you want to make sure you understand distributing. Just using variables I will show how to districute a similar expression.
(a - b)(c + d - e)
There are several ways to think of it. you could treat (a-b) as one term and distribute it into c + d - e like this. pretend (a- b) = x
x(c + d - e) = cx + dx - ex = c(a-b) + d(a-b) - e(a-b)
Then just do a bit more distributing, then combine like terms.
You could instead make (c + d - e) a single term and distribute that into (a-b)
I prefer doing it all in one step, similar to FOIL-ing. Take the first term of one of the expression in parenthesis and distribute it, then move on to the second and so on.
so with (a - b)(c + d - e) I would start with a and distribute that into (c + d - e) and get ac + ad - ae then do the same to -b and get -bc - bd + be then you add the two parts together. ac + ad - ae + -bc - bd + be = ac + ad - ae -bc - bd + be. Then you would combine like terms. Let me know if you need help with that.
Anyway, now for your problem. Keep in mind you can use any of the methods.
(2x^2 - 3y^2)(4x^4 + 6x^2y^2 + 9y^4)
First distribute 2x^2 into (4x^4 + 6x^2y^2 + 9y^4)
8x^6 + 12x^4y^2 + 18x^2y^4
Next distribute -3y^2 into (4x^4 + 6x^2y^2 + 9y^4)
-12x^4y^2 - 18x^2y^4 - 27y^6
Now add the two together.
8x^6 + 12x^4y^2 + 18x^2y^4 + -12x^4y^2 - 18x^2y^4 - 27y^6 = 8x^6 + 12x^4y^2 + 18x^2y^4 - 12x^4y^2 - 18x^2y^4 - 27y^6
Finally combine like terms.
12x^4y^2 - 12x^4y^2 = 0
18x^2y^4 - 18x^2y^4 = 0
So that leaves us with 8x^6 - 27y^6
B is the only answer that works, none of the other 3 can be simplified or adjusted to make them equal what we need, so B is the only right answer.
If you have any questions though let me know.
You are going to Europe for vacation and must exchange your money. The exchange rate of Euros to
Dollars is a proportional relationship. At the Exchange Counter you exchanged 500 dollars and received
375 euros. In the problem above we found that the unit rate described the number of Euros in a Dollar. Now find the exchange rate for Dollars to Euros.
Answers
Answer:
The exchange rate for Dollars to Euros is of 1.33.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
Exchange rate for Dollars to Euros.
We want to find the number of dollars in a euro.
In 375 euros, there are 500 dollars, so how many dollars in 1 euro?
375 euros - 500 dollars
1 euro - x dollars
Applying cross multiplication:
[tex]375x = 500[/tex]
[tex]x = \frac{500}{375}[/tex]
[tex]x = 1.33[/tex]
The exchange rate for Dollars to Euros is of 1.33.
PLEASE HELP
What is the following product?
Answers
simplify 7^1
4^0
6^-1
Answers
1. [tex] \: {7}^{1} [/tex]
➺ [tex]\boxed{\: 7 }[/tex]
2. [tex] \: {4}^{0} [/tex]
➺ [tex]\boxed{ \: 1 }[/tex]
( ∵ any number to the power of 0 is 1. )
3. [tex] \: {6}^{ - 1} [/tex]
➺ [tex] \: \frac{1}{6} [/tex]
[tex]( \: ∵ {a}^{ - 1} = \frac{1}{a} )[/tex]
➺ [tex]\boxed{ \: 0.1667 }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Solve the inequality for x where x-c/d>y (For d>0)
Answers
Step-by-step explanation:
the answer is in the above image
Graph the image of Kite BCDE after a translation 5 units down.
Answers
Answer:
Step-by-step explanation:
Solve
[tex](6+v)(5v+4)=0[/tex]
Answers
Answer:
v = -6 v = -4/5
Step-by-step explanation:
(6+v) ( 5v+4) = 0
Using the zero product property
6+v =0 5v+4 =0
v = -6 5v = -4
v = -6 v = -4/5
Find r, if 6r7 = 511 8
Answers
Answer:
121.857
Step-by-step explanation:
6×7r = 5118
42r = 5118
r = 121.857
Answer:
121.8571428571429
Step-by-step explanation:
r= 5118/42
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals
Answers
Answer:
One leg: 3
So, the hypo: 2*3 = 6
And the third is according to the formula for right angle triangles: a^2 + b^ = c^2
So: √9+36= c
6.7 to get an exact number round it: 7
Answer:
sides are √3 ft,2√3 ft,3 ft
Step-by-step explanation:
let one leg=x
length of hypotenuse=2x
third side=3 ft
(2x)²=x²+3²
4x²-x²=9
3x²=9
x²=9/3=3
x=√3 ft
hypotenuse=2√3 ft
Hi pls helppppppppppp
Answers
Answer:
it could only accomplish it's goal on Friday
Step-by-step explanation:
all you had to do was multiply 8 with the number of people and 2 with the number of tickets on each day and add them together to see if it was more than 1650. it was only more on Friday
Is A PQR=ASTU? If so, name the congruence postulate that applies.
Given:
ZPZS
ZOEZI
PO = ST
P
S
7
A. Congruent - SSS
B. Congruent - SAS
C. Congruent - ASA
O
D. Might not be congruent
Answers
Answer:
C.
Step-by-step explanation:
ASA stands for angle-side-angle.
one side and the 2 angles at the end points of this side are known. only one triangle can be created with that information.
and that is our situation here.
the sides PQ and respectively ST are known (the fact that they are of equal length qualifies for that).
and the angles at the end points of PQ are known (again, the fact that they have the same size as the angles for ST qualifies for that too).
so, ASA applies to prove that both triangles are congruent.
according to a salad recipe each serving requires 4 teaspoons of vegetable oil and 12 teaspoons of vinegar. if 14 teaspoons of vegetable oil were used how many teaspoons of vinegar should be used
Answers
Answer:
42 teaspoons of vinegar should be used
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
4 teaspoons of vegetable oil and 12 teaspoons of vinegar. 14 teaspoons of vegetable oil were used
So
4 teaspoons of vegetable oil - 12 teaspoons of vinegar
14 teaspoons of vegetable oil - x teaspoons of vinegar
So
[tex]4x = 12*14[/tex]
Dividing both sides by 4:
[tex]x = 3*14 = 42[/tex]
42 teaspoons of vinegar should be used
A bakers bread calls for 2 1/2 cups of flour he plans to make 2 loaves of bread.
measuring 1/3 cup how many scoops will he need
Answers
9514 1404 393
Answer:
15
Step-by-step explanation:
(2 loaves)(5/2 cups/loaf)/(1/3 cup/scoop) = (2)(5/2)(3/1) scoops = 15 scoops
The baker will need 15 scoops of flour.
The shoes still have a marginal cost of 25$. You want to earn a profit, so you bathe a price of what
Answers
Answer:
12
Step-by-step explanation: