The sample space for their trial is given by:
(M,G),(M,A),(M,M),(G,G),(G,A),(G,M),(A,G),(A,A),(A, M).
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
In this problem, for each of the two people, there are three outcomes, hence the cardinality of the sample space is given by:
C = 2³ = 8.
Considering both can choose the same food, and each outcome has two options(Darren's and Jovanne's), the first option is correct.
More can be learned about sample space at https://brainly.com/question/15006554
3 yellow marbles to 2 blue marbles, bag has 18 marbles, how many yellow marbles are in the bag?
Answer:
16 yellow marbles in total, because you subtract 2 from the 18 because then you just get the yellow marbles.
The notebook shows the money Reina eamed and spent in the month of April
A positive number represents money eamed. A negative number represents
money spent. Reina wants to find her profit for April
Answer: 7 dollars
Step-by-step explanation:
You can use a math calculator do 13 + -6
what is 5 x 28 / 10 + 100 - 2
Answer:
The answer is 112
Step-by-step explanation:
((58 x 28) / 10) + 100 - 2
solve this 100 - x = 24
Answer: -0.24
first you would take 100 and minus it from both sides giving you -x=0.24 then you divide the negative from both sides giving you -0.24.
diep buys a load of bread 65 centimeters long. for lunch every afternoon, he cuts 15 centimeters of bread for his sandwich. diep wants to determine the length of the load of bread, i after d days. what is the equation of the scenario? is the graph of the equation continuous or discrete?
Answer:
Continuous
Step-by-step explanation:
Its continous because after each day you take the same amount away and due to that it will be continous.
Andrea had twice as many bracelets as her mother. If her mom had b bracelets, how many bracelets did Andrea have?
A. 2 + b
B. 2b
C. b - 2
D. b + 2
Answer:
your answer is Option B.2b
Find C round to the nearest tenth.
[tex]\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=cos(C)\implies cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos^{-1}\left(\cfrac{90^2+55^2-50^2}{2(90)(55)}\right)=\measuredangle C\implies cos^{-1}\left( \cfrac{8625}{9900} \right)=\measuredangle C \\\\\\ cos^{-1}\left( \cfrac{115}{132} \right)=\measuredangle C\implies 29.4^o\approx \measuredangle C[/tex]
Answer:
C=29.4°
Step-by-step explanation:
[tex]c=50\:ft\\\\a=90\:ft\\\\b=55\:ft[/tex]
Using law of Cosines
[tex]C=cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)\\\\C=cos^{-1}\left(\cfrac{90^2+55^2-50^2}{2*90*55\right)}\\\\C=29.4^{o}[/tex]
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p and q are two numbers such that p > q
When you subtract 5 from p and subtract 5 from q the answers
are in the ratio 9: 1
When you add 20 to p and add 20 to q the answers
are in the ratio 7:3
Find the ratio p:9
Give your answer in its simplest form.
The ratio p:9 is equal to 50:9 = [tex]\frac{50}{9}[/tex].
System of Linear EquationsSystem of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
For solving this equation, firstly, rewrite the information given:
[tex]\frac{p-5}{q-5}=\frac{9}{1} \;(1)\\ \\\frac{p+20}{q+20}=\frac{7}{3} \;(2)[/tex]
From equation 1, you have:
[tex]p-5=9q-45\\ \\ p=9q-40[/tex]
And from equation 2, you have:
[tex]3*(p+20)=7*(q+20)\\ \\ 3p+60=7q+140\\ \\[/tex]
Now, substitute p=9q-40 in 3p+60=7q+140
[tex]3p+60=7q+140\\ \\3*(9q-40)=7q+140\\ \\ 27q-120=7q+140\\ \\ 20q=20\\ \\ q=10[/tex]
If q=10 for p=9q-40, you will have:
[tex]p=9q-40\\ \\ p=9*10-40\\ \\ p=90-40\\ \\ p=50[/tex]
Therefore, the ratio [tex]\frac{p}{9}[/tex] is equal to [tex]\frac{50}{9}[/tex].
Learn more about the system of equations here:
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Zachary can spend at most $100 on new clothes. Write an inequality that represents this situation
Answer:
x [tex]\leq[/tex] 100
Step-by-step explanation:
less than or equal to= at most
Which of the following is a step in simplifying the expression
Answer:
option B
explanation:
[tex]\rightarrow \sf (\dfrac{xy^2}{x^{-3}y^3} )^{-4}[/tex]
multiply powers: [tex]\bold{(a^b)^c = a^{bc}}[/tex]
[tex]\rightarrow \sf \dfrac{x^{-4}y^{2*-4}}{x^{-3*-4}y^{3*-4}}[/tex]
simplify the following
[tex]\rightarrow \sf \dfrac{x^{-4}y^{-8}}{x^{12}y^{-12}}[/tex]
What property is named in the statement 3 (-1 x p) = 3 x (- p)?
Answer:
jaca
Step-by-step explanation:
(x+y) (a+b)-(y+z) (a+b)
Answer:
[tex](x + y)(a + b) - (y + z)(a + b) \\xa + xb + ya + yb - (ya + yb + za + zb \\ \\ = xa + xb + ya + yb - ya - yb - za - zb \\ = xa + xb - za - zb \\ = a(x - z) + b(x - z) \\ = (x - z)(a + b)[/tex]
The student body of 175 students wants to
elect a president, vice president, and
secretary.
O Permutation; 5,267,850
Permutation; 4,291,165
O Combination; 1,316,962
Permutation; 4,271,085
The student body of 175 students wants to elect a president, vice president, and secretary, This is an example of a permutation
What is permutation?A permutation is an arrangement of objects in a definite order. A permutation is a calculation that shows the number of ways a particular set can be arranged, where the order of the arrangement matters.
Permutation is given by
[tex]^nP_r=(n-r)![/tex]
The student body of 175 students wants to elect a president, vice president, and secretary. This is a permutation and is given by:
¹⁷⁵P₃ = (175 - 3)!
Find out more on permutation at: https://brainly.com/question/1216161
Phoenix has 11200 registered voters. There are two candidates for city council in an upcoming election: A and B. The day before the election, a telephone poll of 400 randomly selected registered voters was conducted. 138 said they'd vote for A, 228 said they'd vote for B, and 34 were undecided. We will assume the actual voting results will be proportional to this survey.
This voter sample suggests that we might expect ______________of the 11200 registered voters to vote for A.
Very confused, and need some clarification. Please explain answer.
Answer:
3,864
Step-by-step explanation:
138/400×11200
=0.345×11200
=3,864
Brainliest if correct
all you really need to do is find the common denominator and it'll get you an answer for the numerator.
Answer:
13/15
Step-by-step explanation:
You first need to find the common denominator between both 3 and 5, so you have to find the number that would be the best, which is 15. Then you have to multiply the numerator by how many times you went up for that number, for 2/3 would be times 5, and 1/5 would be times 3. Doing this will get you your answer, 13/15.
1. Given a = 18, A = 105 degrees, and B = 32 degrees, use the Law of Sines to solve for b. Round your answer to the nearest tenth, and enter the number only.
2. Given c = 20, C= 101 degrees, and b = 14, use the Laws of Sines to solve for B. Round your answer to the nearest degree.
3. Given a= 100, A= 80 degrees, and b = 61, use the Law of Sines to solve for B. Round your answer to the nearest degree.
Answer:
1) 9.9 (nearest tenth)
2) 43° (nearest degree)
3) 37° (nearest degree)
Step-by-step explanation:
Please see the attached picture for the full solution.
one leg of a right triangle is 21 centimeters long. The hypotenuse of the triangle is 29 centimeters long. What is the length of the unknown leg?
Answer:
20 cm
Step-by-step explanation:
A2 + B2 = C2
C is your hypotenuses = 29 cm
And one leg of a right triangle is 21 cm long
So we have A2 = (21cm)2 = 441 cm + B2 = (29cm)2 = 841cm
B2 = 841 - 441 = 400
B = √400 = 20
So the third leg of a triangle that has a hypotenuses of 29 cm and one side of a right triangle that is 21 cm long is 20 cm
what is the answer to this equation
(7x-1)+(9x+5)
how to solve this limit problem?
Answer:
Привет, как ты?
самый умный я
a 12. A bicycle wheel has a radius of 40 cm. How many times does it revolve during a journey of 10 km? Give your answer to the nearest 100. [For T, use either your calculator value or 3.142.
The bicycle wheel revolving is a illustration of circumference
The bicycle wheel revolves 4000 times
How to determine the number of times?The given parameters are:
Radius (r) = 40 cm
Distance =10 km
Start by calculating the circumference of the wheel
[tex]C =2\pi r[/tex]
This gives
[tex]C =2 * 3.142 * 40[/tex]
[tex]C =251.36[/tex]
The number of times to cover a distance of 10 km is then calculated as:
[tex]n =\frac{10km}{251.36cm}[/tex]
Evaluate the quotient
[tex]n =3978.35773[/tex]
Approximate
[tex]n =4000[/tex]
Hence, the bicycle wheel revolves 4000 times
Read more about circumference at:
https://brainly.com/question/15673093
The sum of a number x and 4 is less than 12.
Which of the following inequalities represents this
statement?
Answer:
x+4<12
Step-by-step explanation:
You did not put the inequalities, but that is how the statement would look like. "And" is a clue that we're adding. So, x + 4 would be the first part, and we know when the open part of this symbol '</>' is pointed at a number then that number is greater than the number before it. So, in this case, you'll want to have that symbol pointed at 12 because x + 4 is less than 12.
solve this 59 + x = 24
Hey there!
=> 59 + x = 24
=> x = 24 - 59
=> x = -35
Therefore, 59 + (-35) = 24
Answer:
[tex]\boxed{\sf{x=-35}}[/tex]
Step-by-step explanation:
A subtraction property of equations is the subject of this problem.
For the correct answer, you need to isolate x from one side of the equation.
59+x=24
First, switch sides.
x+59=24
Then, subtract by 59 from both sides.
[tex]\sf{x+59-59=24-59}[/tex]
Solve.
[tex]\sf{24-59=-35}[/tex]
[tex]\boxed{\sf{x=-35}}[/tex]
Therefore, the solution is x=-35, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
A rancher with 950 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. what is the function A that models the total area of the four pens.
Answer:
×=4,y=5&/$jfugdji6eg7mghhtbm the best way is to get the latest news
Please answer this question as fast ask you can.
Answer:
D
Step-by-step explanation:
calculated the equation and the expanded form
The price of an item has been reduced by 80%. The original price was $30. What is the price of the item now?
Answer:
6
Step-by-step explanation:
80% of 30 is 24 so the price now is 6
Use the volume formula to find the volume of the prism.
A. 21 cubic units B. 42 cubic units C. 27 cubic units D. 9 cubic units
Answer:
I'm thinking that the answer is option D
What is the initial value of the function represented by this graph? (1 point)
z 10.7
6
5
4
14.0)
1 2 3 4 5
6
Oo
07
Answer:
it is 4. I think.................
Step-by-step explanation:
help please quick. it's 9.1.3 geometric sequences
Nicole drove 603 miles in 9 hours.
At the same rate, how many miles would she drive in 11 hours?
Answer:
737 miles
Step-by-step explanation:
v = [tex]\frac{d}{t}[/tex] =[tex]\frac{603 miles }{9 hr} =67 \frac{miles}{hr} \\\\67\frac{miles}{hr} =\frac{d}{11 hr} \\d=737 miles[/tex]
What can 6/9 be Simplified to
Answer:
2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
6/9 can be simplified into 2/3 by dividing both the numerator and the denominator by the greatest common factor, 3.