Using the permutation and the combination formula, we have that:
a) The first three finishers can be awarded medals in 504 ways.
b) They can be arranged in 252 ways.
c) In how many ways can 4 students form a team from a set of 8.
If the order is important, the permutation formula is used.If the order is not important, the combination formula is used.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
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]
Item a:
Order is important, as the finishers are ranked, hence:
[tex]P_{(9,3)} = \frac{9!}{6!} = 504[/tex]
The first three finishers can be awarded medals in 504 ways.
Item b:
The order is not important, hence:
[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]
They can be arranged in 252 ways.
Item c:
Situation in which the order is not important, hence, for example, in how many ways can 4 students form a team from a set of 8.
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Graph the solution to this system of linear inequalities, and describe the meaning of the intersection of all 3 inequalities. HELP ASAP PLEASE!!!
Answer:
Step-by-step explanation:
Coordinates ( x, y ) from "red area" satisfy all three inequality.
Help me with this one please
100
O () = 97 +18
or()- +2
x= +
OF (x) = 97 +2
F(x) = -27 + -
10
Answer:
9x+2
Step-by-step explanation:
the inverse of the function is the opposite. 1/9 becomes 9 and negative 2 becomes positive 2
Answer:
first option
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = [tex]\frac{1}{9}[/tex] x - 2 ( add 2 to both sides )
y + 2 = [tex]\frac{1}{9}[/tex] x ( multiply through by 9 to clear the fraction )
9y + 18 = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 9x + 18
PlEASE HELP URGENT!!!!!!!!!
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
B,D,E
Step-by-step explanation:
The assessed value of a certain house is Rs.15 000. If the the relevant council institutions charges 5℅ of the value of the house as rates,calculate the rates that have to paid for year.
Answer:
15000×5/100=100/100x
150×5=x
750=x
Assessed value that you have to pay for a year is Rs.750.00
Step-by-step explanation:
Have a great day!
GIVING BRAINLIEST. please help.
OK ILL HELP
Its the first option
What is the simplified expression for 6^4.6^3 over 6^5
6^1
6^2
6^3
6^7
Answer:
6^2Step-by-step explanation:
Question:-To simplify the given expression Expression:-[tex] \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]Solution:-[tex] = \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]
[As we know, a^x . a^y = a^(x+y)][tex] = \frac{ {6}^{(4 + 3)} }{ {6}^{5} } [/tex]
[On Simplification][tex] = \frac{ {6}^{7} }{ {6}^{5} } [/tex]
[As we know, a^x / a^y = a^(x-y)][tex] = {6}^{(7 - 5)} [/tex]
[On Simplification][tex] = {6}^{2} (ans)[/tex]
Which correlation coefficient best matches the graph?
Answer:
Which graph?
Step-by-step explanation:
Answer:
where is the graph
Step-by-step explanation:
umm i dont know how to answer
Tria had one each of five different-shaped number solids having 4, 6, 8, 12, and 20 sides. She rolled two at a time and found probabilities for the sum of the numbers that came up. She recorded the probabilities in the first column of the table. When it came time to fill in the second column, she had forgotten which number solids she had used. Figure out which number solids she must have used and explain your thinking. The first one has been done.
She found out that the probability of 4 is lesser than 5, which combinations did she use?
Answer:The probability of a 3 is 2/80 or 1/40
The probability of a 4 is less than the probability of a 5
Step-by-step explanation:
An old coin is sold for $2 and its value increases by 8% each year after it is sold. What is the value of the coin, in dollars, in 10 years
Interest be I
[tex]\\ \sf\Rrightarrow I=\dfrac{PRT}{100}[/tex]
[tex]\\ \sf\Rrightarrow I=\dfrac{2(8)(10)}{100}[/tex]
[tex]\\ \sf\Rrightarrow I=\dfrac{280}{100}[/tex]
[tex]\\ \sf\Rrightarrow I=2.8\$[/tex]
Now
Value of coin after 10years =2+2.8=4.8$
solve the equation 1 = u over 2
Answer:
u = 2, as we multiply both sides by the denominator (2).
Select all equations that represent this question:
Priya is stacking building blocks to make a tower. She takes a break when the tower is 2 1/2 feet tall, which is 5/8 of the hight of the tower she wants ti build. How tall is the tower when finished?
Answer:
4 feet tall
Step-by-step explanation:
First find the unit rate of how close she is to being completed / the height of the tower
2.5/5 =.5
Next, multiply .5x8 = 4 feet fall when she is done
Which of the following is NOT a solution to the
inequality |-3x + 3) > 6?
A. -4
B. -3
C. -2
D. 3
E. 4.
Answer:
B
Step-by-step explanation:
xº
520
38°
220°
X = degrees
by taking complete angle
52+38+220+x=360
310+x=360
x=360-310
x=50
In two or three sentences, summarize what the essay suggests could help women succeed in
business. How does the summary help you identify Sandberg's message, audience, and
purpose?
The essay suggests women first need to end with internal barriers to succeed in business and this will later destroy external barriers. This helps identify the author's main message, audience, and purpose because it shows the main idea of the essay.
Lean In is an essay by Sheryl Sandberg about gender inequality and the way this inequality has prevented women from being successful and represented in specific areas including government and business.
About business, Sandberg suggests women are quite limited if compared to men due to sexism, sexual harassment, and even internal barriers women create. To stop this situation the author proposes women need to destroy internal barriers such as:
Believing they should do most of the housework and childcare-Believing they cannot be as successful as other women.Holding themselves due to unequal conditions.Moreover, this idea helps identify other elements of the text by stating the main purpose.
Main message: Women need to destroy mental and internal barriers.Audience: Women.Purpose: To inspire women to end inequality.Note: This question is incomplete because the text it refers to it is not given; here is the information about the text.
"Lean In: Women, work, and the will to lead" by Sheryl Sandberg.
Learn more about sexism in: https://brainly.com/question/6022376
I NEED HELP PLEASE! Thank you
Answer:
A
Step-by-step explanation:
21 -6×3
-6×3=-18
21-18
=3
ab? that goes through points (0,2)
Write an exponential function in the form y
and (4, 1250).
Answer:
y = 2·5^x
Step-by-step explanation:
Using the given points, we can solve for 'a' and 'b'.
y = ab^x
2 = ab^0 = a . . . . . substitute (0, 2) for (x, y)
__
1250 = 2·b^4 . . . . substitute for 'a' and (4, 1250) for (x, y)
625 = b^4 . . . . divide by 2
5 = b . . . . . . . take the 4th root
The function is ...
y = 2·5^x
____
Additional comment
There are two real and two imaginary 4th roots of 625. Only the positive real root is useful as the base in an exponential function like this.
Carson rides his bike for 30 mins each day he rides a total of 12 miles every 3 days how many days will it take to ride a total of 80 miles
Answer:
20 days
Step-by-step explanation:
If he rides 12 miles every 3 days, then he rides 4 miles in one day. Divide 80 / 4 and you get 20 days.
How do I find the function of a graph given?
Answer:
Explanation
Step-by-step explanation:
Well, to find a function of a given graph, you would need m, its slope, and b, its y-intercept. After you've done that, place the function in the format of f(x) or y = mx + b.
Find the slope using the formula y2-y1/x2-x1 or rise/run
Find the y-intercept by looking for the point that touched with the y-axis.
Here is a balanced Hanger. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger
Answer:
4x+2.5+2.5+3+3=2x+2.5+3+3+3 AND 4x+5+6=2x+2.5+6
Step-by-step explanation:
Josephina lives on a farm with 3 sheep, 2 goats, 11 chickens, and 5 cows. She is going to randomly select an animal to take to the stock show. What is the probability of randomly selecting a cow or a goat
Answer:
7/21 or 1/3
Step-by-step explanation:
Adding all the animals together, we get 21. Then we add just the cows and the goats and get 7. Then we do 7/21 = 1/3 simplified
Mario sells men's and women's shoes in his shoe store. He is considering selling children's
shoes. He randomly selected 120 customers to participate in a survey. The survey results are
shown below.
• 42 customers said they would shop for children's shoes
• 78 customers said they would not shop for children's shoes
Mario has an average of 440 customers per month. Based on the survey results, which
value is the best estimate of the number of customers that would shop for children's shoes
during an average month?
А
120
B
154
C
220
D
286
Answer:
154
Step-by-step explanation:
42 is 35% of 120, and 78 is 65% of 120. Thus 35% of 440 is 154 people who would shop for shoes.
Please like and thank, hope this helps.
The number of customers that would shop for children's shoes during an average month is 154.
Number of randomly selected customers = 120
Number of customers willing to shop for children's shoes = 42
42 is what percentage of 120?As we know that percentage is the value per hundred.
So, (42/120) *100 = 35%
So, 42 is 35% of 120.
This means that 35% of customers are willing to shop for children's shoes.
Average customers per month = 440
35% of 440 = (35*440)*100
35% of 440 =154
So, the number of customers that would shop for children's shoes
during an average month =154.
Therefore, the number of customers that would shop for children's shoes during an average month is 154.
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The shape on the left is transformed on the right.Which of the statements describes the transformation.
Answer:
yall werid
Step-by-step explanation:
Find the slope of a line parallel to each given line.
y = x - 1
Answer:
1
Step-by-step explanation:
First, you should put the equation in slope intercept form (y = mx + b), where m is the slope. A parallel line will have the same slope so if 1x is your slope for the first equation, 1 should also be the slope for the 2nd equation
A dress originally priced at 8080 dollars was put on sale for 25\%% off. If 10\% tax was added to the sale price, then the total selling price (in dollars) of the dress was
Answer: If the dress orginially priced at 8080 dollars and put for 25 percent, that means that you have to move the decimal point to the left twice which will result as 0.25 and 10 percent tax ends up as 0.10. Multiply the two and the product, you have to add to the 8080!
Step-by-step explanation:
Kim's scores in the diving competition were 7.2, 6.975, 8.0, and 6.96. What is her total score?
if you have 55 bad kids in classroom and 25 good kids how many bad have solve the equation
Answer:
none of them bc they're all bad kids
Step-by-step explanation:
a derpartment store sell 152 pair of jeans for 29 each. which is the best estimate of the total sales for the jeans
Answer:
44 dollars
Step-by-step explanation:
Since we need to find the total sales, we do 152 * .29, but we are estimating, therefore, instead we can do 150 * .29, which is 43.5. Rounding up we get 44, thus 44 is our answer
question 5. Write an equation of the line that passes through the points (-2, -6) and (4, 6).
Answer in slope-intercept form
Answer:
y=2x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-(-6))/(4-(-2))
m=(6+6)/(4+2)
m=12/6
m=2
y-y1=m(x-x1)
y-(-6)=2(x-(-2))
y+6=2(x+2)
y=2x+4-6
y=2x-2
Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.