The numbers of ways that the director fill these positions is 504 ways.
What is the position about?There are a few different ways to approach this problem, but one possible method is to use the combination formula.
To fill the position of soprano, the director has 9 choices. After selecting one soprano, the director is left with 8 singers to choose from for the alto position. Then, the director has 7 singers to choose from for the tenor position.
So, the total number of ways the director can fill these positions is:
9 × 8 × 7
= 504 ways.
Alternatively, One can also use the permutation formula to solve the question. The formula of permutation is (n!/(r!(n-r)!)), where n is the total number of items to choose from, and r is the number of items to be chosen.
For this case n is 9, and r is 3, so the permutation would be:
(9!/(3!(9-3)!)
= (987)/(321)
= 504
Therefore, In both cases, the answer is 504 ways.
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Carmen uses 2/7 of a bag of flour to make 1/2 of a batch of her special homemade cookies. How many bags of flour does it take to make 3 batches of the cookies?
Answer:
12/7 or 1 5/7
Step-by-step explanation:
2/7=1/2, so 4/7=1. multiply 4 by three, since one times three equals three.
A group of friends wants to go to the amusement park. They have no more than $90 to spend on parking and admission. Parking is $16.50, and tickets cost $10.50 per person, including tax. Use the drop-down menu below to write an inequality representing pp, the number of people who can go to the amusement park.
The inequality representing p, the number of people who can go to the amusement park, is given as follows:
10.5p + 16.5 ≤ 90.
How to build the inequality?The inequality for this problem is build considering the linear cost function, defined in slope-intercept format as follows:
C(p) = mp + b.
In which the parameters are given as follows:
m is the slope, representing the cost of the ticket per person.b is the intercept, representing the cost of parking.Parking is $16.50, and tickets cost $10.50 per person, hence the numeric values of the slope and the intercept are given as follows:
m = 10.50, b = 16.50.
Thus the cost function is given as follows:
C(p) = 10.5p + 16.5.
They have no more than $90 to spend on parking and admission, hence the inequality is defined as follows:
C(p) ≤ 90.
10.5p + 16.5 ≤ 90.
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Someone help plz make sure it’s right plz will mark brainiest
Answer:
Your answer is B, or the second one from the left
Answer: It would be the 2nd choice
if 2/3 x - 1=4, then x =?
Find the measure of the indicated angle. Need help please.
I need explanation too
PLEASE NO LINKS I WILL REPORT YOU
Answer:
AC=35
Step-by-step explanation:
Sin=opposite/hypotenuse
Sin54=AC/43
AC=43sin54
AC=34.78≈35
help ill give brainiest <3 dont guess
Answer:
rectangular prism, 6 faces, 8 vertices
Answer:
The figure is a rectangular prism with 6 faces, moreover, it has 8 vertices.
What does 4 mean in maths?
The meaning of the 4! ( factorial ) in mathematics is equal to ( 4 × 3 × 2 × 1 ).
As given in the question,
Given expression in mathematics is written as :
4! ( factorial )
In standard form meaning of the n! ( factorial ) is given by multiplication of all the terms in decreasing order till 1.
It is expressed as:
n! = n × ( n - 1 ) × ( n - 2 ) × ( n - 3 ) × ........× 3 × 2 × (n - (n - 1) ).
Apply this formula for 4! ( factorial ) we get,
4! ( factorial )
= 4 × ( 4 - 1 ) × ( 4 - 2 ) ×( 4 - 3)
= 4 × 3 × 2 × 1
= 12
Therefore, the meaning of 4! ( factorial ) in mathematics is given by
4 × 3 × 2 × 1 .
The above question is incomplete , the complete question is :
What does 4! ( factorial ) mean in mathematics?
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Compare the two linear functions listen below
The slopes of function 1 and function 2 are respectively; -4 and 2. Thus, function 1 has a negative slope
How to find the slope of a linear function?The slope is simply defined as the change in the y-values divided by corresponding change in x-values.
1) Now, the formula for the slope between two coordinates is;
Slope = (y₂ - y₁)/(x₂ - x₁)
Let us take two coordinates from the table as;
(0, 50) and (1, 46). Thus;
Slope = (46 - 50)/(1 - 0)
Slope = -4
2) The general equation for equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, we are given the equation as;
c = 2d + 10
Comparing to the standard form, we have;
Slope = 2
Thus, function 1 has a negative slope
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A car is traveling at a speed of 61 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 20 minutes? Do not round your answers.
The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
A car is traveling at a speed of 61 kilometers per hour.
Convert the speed into a kilometer per minute. Then we have
Speed = 61 / 60
Speed = 1.01667 kilometers per minute
Then the number of kilometers will the car travel in 20 minutes will be given as,
1.01667 = d / 20
d = 1.01667 x 20
d = 20.33 kilometers
The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.
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Which is a recursive formula for the sequence 99. 4, 0, –99. 4, –198. 8, where f(1) = 99. 4? f(n 1) = f(n) 99. 4, n ≥ 1 f(n 1) = f(n) – 99. 4, n ≥ 1 f(n 1) = 99. 4f(n), n ≥ 1 f(n 1) = –99. 4f(n), n ≥ 1
A recursive formula for the sequence is: f(n+1) = f(n)-99.4, n ≥ 1
Consider the given sequence.
99.4, 0, -99.4, -198.8, . . .
We can observe that each next term of the sequence is decreased by -99.4
i.e., f(0) = 99.4
f(1) = f(0) - 99.4
f(1) = 99.4 - 99.4
f(1) = 0
f(2) = f(1) - 99.4
f(2) = 0 - 99.4
f(2) = -99.4
From these calculations we can say that the n-th term would be,
f(n) = f(n - 1) - 99.4
Therefore, recursive formula: f(n+1) = f(n) - 99.4
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Question 1
Find the distance: Speed = 99 km/h,
Time = 40 mins
Answer:
40 minute = 40 : 60 hours
= 4/6 [÷10]
= 2/3 [÷2]
distance = speed × time
distance = 99 kilometers/hours × 2/3 hours
distance = 33 × 2
distance = 66km
Will give brainliest if right
O C. 65
O D. 50
Answer:
D
Step-by-step explanation:
istg if one of yall roasts my dirty calculator
What are the roots of the equation x² - 10x +34 = 0 in simplest
a + bi form?
3x + 2y = 5
x = 2y + 7
Answer:
I hope this helps you...
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david mowed 2/3 of the yard in 1/2 hour how long will it take him to mow the whole yard?
Answer:
Step-by-step explanation: It would take him 15 minutes more to mow the whole yard
1/2 hour is 30 mins divided by 2 which is 15 mines times 3 is 45 mins total mins
Math
On a grid, a middle school is located at ( − 5 , 3 ) , and a library is located at ( 2 , 3 ) . If 1 unit represents 1 mile on the grid, how far is the library from the middle school?
Answer:
14 miles
Step-by-step explanation:
there are 14 units in between point (-5,3) and (2,3), and since each unit is 1 mile it would be 14 miles.
Please help me due in 1 hour, i'll give 5 stars and lots of points.
this table shows how many males and females attended two different movies.
Answer:
B
Step-by-step explanation:
convert 20% profit into profit amount
Answer: To convert 20% profit into a profit amount, you would multiply 20% by the revenue or cost of the item or service.
Let's say,
You have revenue of $1000
So,
20/100 * 1000 = $200
So the 20% profit on the revenue of $1000 is $200.
It's important to note that profit is the amount of money you make after you subtract your costs from your revenue. It's the amount you have left after all the expenses, taxes and other deductions are made.
Step-by-step explanation:
Order these numbers from least to greatest.
6.1031, 6.203, 6.1, 6.23
Answer:
6.2300, 6.2030, 6.1031, 6.1000
Step-by-step explanation:
Answer:
6.1, 6.1031, 6.203, 6.23
Write the expression as a single logarithm.
4logby + 3logbx
*Picture of Answers Below*
Answer:
A
Step-by-step explanation:
We first put in the coefficients of each log into the log using log laws
so 4 log b y would be log b y^4
3 log b x would be log b x^3
we next use the addition log law
to find log b y^4 + log b x^3 = log b (y^4 * x^3)
and we are done now
the answer is A
if you found this helpful consider leaving a brainliest or a thanks
Answer:
[tex]log_{b} (y^{4} x^{3} )[/tex]
Step-by-step explanation:
Make a tree diagram to show sample space. Then select the total number of outcomes.
choosing black, blue or brown socks with boots, gym shoes or dress shoes
a. 3
C. 9
b. 6.
d. 12
PLEASE HELP
Answer:
C. 9
Step-by-step explanation:
3 sock options, 3 shoe options for each of those sock options.
3 x 3 = 9
`y=7/(1,000)-(9x)/8` whats the y incercept
What is the explanation please help me
Answer:
Yes. If the first friend descended 0.11 mile (-0.11) and the second friend descended 0.12 mile (-0.12), then the second friend had to have caught up to the first friend knowing that the second friend descended at least 0.11 mile. Hope this helps :)
Step-by-step explanation:
Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for this object's height h(t) at time t seconds after launch is h(t) = -16t2 + 80t. a. Find the vertex. Explain what this means in the context of the situation
Answer:
Vertex (-2.5,-300)
Step-by-step explanation:
We are given with h(t)=-16 t^2 +80 t. We are asked to find the vertex.
X-coordinate of vertex =[tex]\frac{-b}{2a}[/tex]
Where 'a' is coefficient of [tex]t^{2}[/tex] term
'b' is coefficient of 't' term.
From given function, a= -16
b=80
So,
x-coordinate of vertex =[tex]\frac{-80}{2(-16)}[/tex]
=-2.5
y-coordinate of vertex =[tex]-16(-2.5)^{2} +80(-2.5)[/tex]
Simplify it,
=-100 -200
= -300
So, vertex is at (-2.5, -300).
Mr.martland decides the length of his square vegetable garden will be 17 ft. He calculates that the area of the garden is 34 ft^2. is he correct?
Answer:
Nope
Step-by-step explanation:
If it is a square garden, all sides are equal. Area would be 17x17 and that would equal [tex]289^{2} ft[/tex] not 34
Solve for x. Leave your answer in simplest radical form.
15 in
X
Answer:
√124
Step-by-step explanation:
a^2+b^2=c^2
x^2+101= 225
x^2= 225-101
x^2= √124
The owner of a mall retaurant bought 75 kilogram of rice. Each week, the retaurant ue 4. 5 kilogram of rice. Function r give the remaining amount of rice, in kilogram, a a function of the number of week ince the retaurant owner bought the rice. 1. Complete the table. Clear All
function f(x) = 75 - 4.5 w.
where w = number of weeks.
this question is related to function and solution is as follows,
The owner of a mall Restaurant bought rice = 75 kg
Each week, the restaurant use rice = 4. 5 kg
so we have to make an equation of function by which we can find out the remaining rice after w number of weeks,
f(x) = 75 - 4.5 w
where ,w = number of weeks
example, find out rice after 6 weeks
number of weeks (w) = 6
put it in the function,
f(x) = 75 - 4.5(6)
f(x) = 75 - 27
f(x) = 48.
so the function is ,f(x) = 75 - 4.5 w.
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The Burj Khalifa building in Dubai, United Arab Emirates, is one of the tallest buildings in the world at 2,722 feet tall. An American football field is 360 feet in length. Approximately how many football fields tall is the Buri Khalifa building? Round to the nearest tenth.
Answer:
7.5 which rounds to 8
Step-by-step explanation:
2,722 divided by 360 equals 7.56
check if needed <3
Order of operation help I have 4 min left on my timer . NO LINKS
Answer:
13
Step-by-step explanation:
Just In case you want explanation-
1. 4 squared Meaning 4 x 4 = 16
2. 16 x 6 = 96
3x 6 = 18
96- 18 = 78
in the denominator, 25/ 5 = 5
11 minus 5 = 6
78 divided by 6
it gives you 13
Answer:
13
Step-by-step explanation:
Order of operations:
Parenthesis, exponents, multiplication and division, addition and subtraction
PLEASE HELP 10 POINTS
Answer:
9.75
Step-by-step explanation:
3/4 |1/3x+2| < 6
you can turn the < into a =
then subtract 3/4 from 6 which leaves you with 5.25. And since you know 2 will always be positive because it's in an absolute value bracket 5.25-2=3.25. Which leaves you with
|1/3x| = 3.25
then do 3.25/(1/3) which leaves you with 9.75
:)