Step-by-step explanation:
<B=180°-70°-50°=60°
hope this helps you.
What is the answer?
To this question
Answer:
y = 3.2
Step-by-step explanation:
8/y = 10/4
10y = 32
y = 32 / 10
y = 3.2
Х
Probability with permutations and combinations
file
Nia is 1 of 24 students in a class. Every month, Nia's teacher randomly selects 4 students from their class to act
as class president, vice president, secretary, and treasurer. No one student can hold two positions.
Do
In a given month, what is the probability that Nia is chosen as president?
Choose 1 answer:
BRE
TA
1
24 P4
As
A
1
MY
TATU
Co
©
23 P 3
24 P4
SAT
MY
D
(24 P.). (24 P3)
24 P4
Pro
2 of 4 .OOO
Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.
A probability is the number of desired outcomes divided by the number of total outcomes.As there are different roles, the order in which the students are chosen is important, hence, the permutation formula is used to solve this question.Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Desired outcomes:
Nia's president.For the other roles, 3 students from a set of 23, hence:[tex]D = P_{23,3} = \frac{23!}{20!} = 10626[/tex]
Total outcomes:
4 students from a set of 24, hence:
[tex]T = P_{24,4} = \frac{24!}{20!} = 255024[/tex]
Then:
[tex]p = \frac{D}{T} = \frac{10626}{255024} = 0.0417[/tex]
0.0417 = 4.17% probability that Nia is chosen as president.
To learn more about probabilities, you can take a look at https://brainly.com/question/24437717
Answer:The answer is 23 P 3/ 24 P 4
Step-by-step explanation:
A. Are the expressions 3(m - 2) + 2(m - 2) and 50m - 2) equivalent expressions?
B. In two or more complete sentences, justify your answer to A.
Answer:
Step-by-step explanation:
3(m-2)+2(m-2)
3m-6+2m-4
3m+2m-6-4
5m-6-4
5m-10
The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.
After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.
easy one for you folks. show work.
who ate more?
Answer:
regan ate more than maggie
hlo preparation for exam help with this question?? °_*!
If p/q=q/r then prove that
p3+q3+r3=(1/p3+1/q3+1/r3)p2q2r2
Hope you could get an idea from here.
Doubt clarification - use comment section.
The equation [tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex] has been proved to be true
The equation is given as:
[tex]\frac pq = \frac qr[/tex]
Cross multiply
[tex]pr = q^2[/tex]
Rewrite as:
[tex]q^2 = pr[/tex]
Also, we have:
[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex]
Substitute [tex]q^2 = pr[/tex]
[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^3r^3[/tex]
Expand
[tex]p^3+q^3+r^3=\frac{1}{p^3} \times p^3r^3 +\frac{1}{q^3} \times p^3r^3 +\frac{1}{r^3} \times p^3r^3[/tex]
Simplify
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times p^3r^3 + p^3[/tex]
Rewrite as:
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (pr)^3 + p^3[/tex]
Substitute [tex]pr = q^2[/tex]
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (q^2)^3 + p^3[/tex]
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times q^6 + p^3[/tex]
Divide q^6 by q^3
[tex]p3+q3+r3=r^3 +q^3 + p^3[/tex]
Rewrite the equation as:
[tex]p3+q3+r3=p^3 +q^3 + r^3[/tex]
Hence, the equation has been proved
Read more about equations at:
https://brainly.com/question/13729904
How much money, in dollars, is available on his card after he takes 0
rides?
Answer:
However much he had on his card in the first place.
Step-by-step explanation:
Say he had $500 on his card. He took 0 rides ( no rides ) so he doesn't lose any money. Leaving him with his starting amount, $500.
NEED HELP ASAP…………..
Answer:
It is the second answer.
Step-by-step explanation:
A class has $140 for tickets to a science museum. The teacher writes $140÷10=14. Alma says that tickets are $14 each. Mohamed says that $14 students are going on the trip. Who is correct?
Alma was definitely correct to say that the tickets are $14 each.
The total amount in dollars the class have for tickets to the science museum
is $140.
The teacher writes as follows:
140 ÷ 10 = 14Alma says the tickets are $14 each.
Mohammed says that 14 students are going for the trip
The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.
The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.
Therefore, Alma was definitely correct.
learn more about algebra here: https://brainly.com/question/11455464?referrer=searchResults
Solve the equation
6.4g + 8= 1.4g + 38
Find the Value of G
Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
Answer:
g=6
Step-by-step explanation:
6.4×6-1.4×6=
38.4-8.4=30
its true if it is not the result is incorrect
Which is equivalent to 243 Superscript two-fifths?
3
6
9
12
Answer:
The answer is 9 ( C on edge)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
C on edge
I took the test
What is the slope of the line that passes through the points (8, -4) and (6, 2)?
Write your answer in simplest form.
Answer:
-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-(-4))/(6-8)
m=(2+4)/-2
m=6/-2
m=-3
There are 25 rows of 18 stckers on a sheet. How many stickers are there on a sheet. How many on 40 sheets?
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y - 2 = -14
What is the length of DE?
А. 8
В. 7
С. 6
D. 5
Domain and Range of a linear function
Answer:
domain is the lenght of the road (in miles)
range is the number of days
Step-by-step explanation:
domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road
Select the correct answer.
Which of the four "progressive amendments" gave women the right to vote?
A.
Sixteenth
B.
Seventeenth
C.
Eighteenth
D.
Nineteenth
Find the inverse of f(x) = 1/2x + 3
Sara needs to buy juice for the picnic. She selects a case of 24 cans of juice that costs a total of $8.00. What is the cost per can?
Step-by-step explanation:
24 cans cost $8.
so, 1 can is 1/24 if the total, and that applies then also to the price.
so, the cost of 1 can is 8/24 = 1/3 ≈ $0.33
Answer:
Cost per can = $0.33.
Step-by-step explanation:
8 / 24
= 1/3
= 0.333....
Your brother is 15 your age. Your sister is 7 years older than your brother. Your sister is 11 years old. Write and solve an equation to find your age a.
Answer:
a = 19a = 15 + bStep-by-step explanation:
Given:
a = b + 15 (a = my age; b = my brother's age)s = b + 7 (a = my age; s = my sister's age)s = 11 (s = my sister's age)s = b + 7
=> 11 = b + 7
=> b = 4
a = 15 + b
=> a = 15 + 4
=> a = 19
Therefore, the equation is 'a = 15 + 4' and the answer is 'a = 19'.
Hoped this helped.
I apologize if this was incorrect or un-helpful.
So
z=y+7As z=11
[tex]\\ \rm\Rrightarrow y+7=11[/tex]
[tex]\\ \rm\Rrightarrow y=4[/tex]
My age=
x=y+15x=4+15=19yearsThe fraction Three-tenths is the difference of Eight-tenths and which fraction?
Answer:
[tex]\frac{11}{10}[/tex]
Step-by-step explanation:
[tex]\frac{8}{10}[/tex] - [tex]\frac{x}{10}[/tex] = [tex]\frac{3}{10}[/tex]
so [tex]\frac{8}{10}[/tex] +[tex]\frac{3}{10}[/tex] =[tex]\frac{x}{10}[/tex]
since all the denominators are the same we simply add the numerators to find x
x would be 8 +3 = 11
so [tex]\frac{11}{10}[/tex] is the answer
Will give brainliest!
Answer:
- 1/4
Step-by-step explanation:
Where you see X, substitute with 1/3
Solve the power/exponent first:
6(1/3) = 2
That is ; - 4(1/4)^2
Solve the parenthesis:
(1/4)^2 = 1/16
-4(1/16)
= - 1/4
165% of what number is 28
Answer:
i belive it is 46.2
Step-by-step explanation:
simplify 4 (5x+3)-4x
Answer:
16x + 12
Step-by-step explanation:
20x + 12 - 4x
20x - 4x = 16x
16x + 12
Answer: 15x + 12
Step-by-step explanation:
(4 x 5x). (4 x 3). (20x - 4x). 15x + 12 is your answer.
Pls answer these questions
Answer:
I believe the answers are
B) 1
D) $1,000
Step-by-step explanation:
How many gallons of gas can
you afford with $34.83 if a gallon of gas is $3.87 a gallon?
Answer:
You would be able to afford 9 gallons of gas.
Step-by-step explanation:
34.83 divided by 3.87 is 9. Have a nice day!
f(x)=8x^3+125 find the zeros
Answer:
x = -5/2, (5+5i√3)/4, (5-5i√3)/4
110 divided by 4 using area model.
The quotient of 110 divided by 4 is 27 with a remainder of 2.
To solve 110 divided by 4 using the area model, we can represent the division problem visually by creating an area model.
Draw a rectangle to represent 110.
Divide the rectangle into four equal parts to represent dividing by 4.
Distribute the value of 110 evenly across the four parts. Since 110 is not divisible evenly by 4, distribute as much as possible to each part.
Determine the quotient. Count the number of equal parts, which in this case is 27.
Therefore, the quotient of 110 divided by 4 is 27 with a remainder of 2.
To learn more on Division click:
https://brainly.com/question/21416852
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4x+2y=7 y=-2x+3.5 how many solutions does this problem have? No solution, one solution, or infinite solutions
Answer: many solutions
Step-by-step explanation:
Calculate the amount of dextrose in 756 mL D10W
D10W has a concentration 10%
So
Dextrose amount=
[tex]\\ \sf\Rrightarrow 10\%\:of\:756[/tex]
[tex]\\ \sf\Rrightarrow 0.10(756)[/tex]
[tex]\\ \sf\Rrightarrow 75.6ml[/tex]
The corner store sells pairs at a rate of $2.50 for per pair if Fiona has $15 how many pairs can if you fiona buy?
Answer: Fiona can buy six pairs.
15/2.5 = 6
Answer:
Fiona can buy 6 pairs
Step-by-step explanation:
2.50x 6