Using the combination formula, it is found that these two positions can be filled in 780 ways.
The order in which the positions are filled is not important, for example, João and Elisa is the same outcome as Elisa and João, hence the combination formula is used to solve this question.
What is the 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]
In this problem, two people are taken from a set of 40, hence the number of ways is given by:
[tex]C_{40,2} = \frac{40!}{2!38!} = 780[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
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Can someone help me with this please ?
please help me thank you
Answer:
7.2 yds²
Step-by-step explanation:
6 × 1.2
7.2 yds²
express the sum of 2x and y is multiplied by 5 in an algebraic expressions
Answer:
(2x + y)*5
Step-by-step explanation:
Translating the word problem into an algebraic expression, we have;
(2x + y) * 5
Simplifying an expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.
Simplifying further by opening the bracket, we have;
(2x + y)*5 = 10x + 5y
Find the circumference of the circle. Use 22/7 for pi.
Answer:
44
Step-by-step explanation:
circumference = 2πr = 2*(22/7)*(14/2) = 44
Answer:
C = 44 cm
Step-by-step explanation:
The diameter is 14.
The formula for circumference is
C = pi * d where d is the diameter
C = 22/7 * 14
C = 22 * 2
C = 44 cm
Simplify the expression.
-1 + (-3) - (-5) =
Answer:
=-1)+(-3)-(-5)
=-1-3+5
=-4+5
=1
Step-by-step explanation:
answer is to your question is 1.
Answer:
1
Step-by-step explanation:
-1 + (-3) - (-5)= -1 + 2 = 1
- and - give you +, so positive 5 and negative 3
- 3 + 5= 2
Nolan wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5\6 ft by 2 1\3 ft. Find the area the carpet needs to cover.
Answer:
11 5/18 ft squared
Step-by-step explanation:
because the floor is probably a rectangle, we can use the area formula to find the area of the carpet. the formula is
A = Length × Width
so now we plug in the numbers.
A = (4 5/6) × (2 1/3)
I'm going to simplify the numbers into an improper fraction because the numbers are in a mixed fraction format and I simply dislike it.
A = (29/6) × (7/3)
A = 203/18 ft squared
In the answer section, the numbers look different because I converted my 203/18 into a mixed number.
A = 203/18 = 11 5/18 ft squared
Will you need to show that all of the parts of one triangle are congruent to all of the parts of the other triangle to prove they are congruent? Explain.
Answer:
will be sufficient to prove triangles congruent. If three sides of a triangle are congruent to three sides of another triangle, the triangles are congruent. If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
find the vertex of the graph of the following quadratic equations y=2x^2-8x+9
solve ax^2-c=0 assume a and c are positive
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Answer:
x = ±√(c/a)
Step-by-step explanation:
Undo what is done to x.
ax² -c = 0
ax² = c . . . . . . add c
x² = c/a . . . . . . divide by a
x = ±√(c/a) . . . . take the square root
Which mixed number is equivalent to the fraction 11/4
Answer:
2 3/4
Step-by-step explanation:
The length of rectangular playground exceeds twice its width by 15 feet, and the
perimeter of the playground is 540 feet. What is the area of the playground in square feet?
Answer:
Width=85. Length=185. Area=15,725
Step-by-step explanation:
540/2=270, which is the sum of length+width.
270-15=255, so what's left is width+width+width.
255/3=85.
85*2=170
170+15=185
85*185=15,725
Last year the depth of the river was 4.2 feet deep.
This year it dropped 5%.
Find the depth of the river this year to cross it.
Answer:
3.15 ツ
Step-by-step explanation:
The sum of two numbers is 27. The larger of the two numbers is 7 less than triple the smaller number. Indicate the two numbers below.
Answer: 69
Step-by-step explanation: EZ
Consider point P(4, 2) and line l with equation −3x+4y=6 .
The equation of the line that passes through P and is parallel to l
Step-by-step explanation:
all working is above
hope that helps
Josh has a rewards card for a movie theater.
• He receives 15 points for becoming a rewards card holder.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 55 points to earn a free movie ticket.
Which inequality can Josh use to determine x, the minimum number of visits he needs
to earn his first free movie ticket?
Answer:
He would need to visit a minimum of 12 times
Step-by-step explanation:
Find the surface area of a cylinder with a height of 8m and a base diameter of 12m .
Answer: A≈527.79m²
Step-by-step explanation:
HOPE THIS HELPS
please help with this question
Answer:
1/2
Step-by-step explanation:
P= 7/14
= 1/2
The probability of Pickup Truck is 1/2
There are 36 people camping at Max's family reunion. They are sleeping in tents. If 4 people can sleep in each tent, how many tents are at the campsite?
A dog runs 100 yards from one corner of a rectangular park to the opposite corner. If the length of the park is 28 yards, what is the width?
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Answer:
96 yards
Step-by-step explanation:
The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.
The diagonal is the hypotenuse, so we have ...
100² = 28² + w²
w = √(10000 -784) = 96
The width of the park is 96 yards.
_____
Additional comment
The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).
You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.
One batch of walnut muffins uses
1 cups of walnuts. How many cups of
walnuts are needed to make 3 batches of muffins?
1) 5 cups
4 cups
3.2 cups
5.12 cups
Answer:
4 cups
Step-by-step explanation:
Which equation represents g(x)?
O g(x) = 3/x+1
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
Equation would be: y = [tex]\frac{4}{7} x + 4[/tex]
Hope this helps!
Item 1
Use the figure to find the measures of the numbered angles.
Parallel lines a and b are intersected by a transversal t. Angle 1 and angle 99 degrees are supplementary angles. Angle 1 and angle 3 are vertical angles. Angle 2 and angle 99 degrees are vertical angles. Angle 99 degrees and angle 4 degrees are corresponding angles on the same side of the transversal. Angle 1 and angle 5 are corresponding angles on the other side of the transversal. Angle 5 and angle 7 are vertical angles. Angle 6 and angle 4 are vertical angles.
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Answer:
∠1 = ∠3 = ∠5 = ∠7 = 81°
∠2 = ∠4 = ∠6 = 99°
Step-by-step explanation:
Vertical and corresponding angles are congruent. Angles 1 and 99° are supplementary, so ...
∠1 = 180° -99° = 81°
Then we have ...
∠1 = ∠3 = ∠5 = ∠7 = 81°
∠2 = ∠4 = ∠6 = 99°
Convert 4(cos(150°) + isin(150) into rectangular form.
Answer:
The rectangular form of [tex]4[cos(150^{o})+i sin (150^{o})][/tex] is [tex]-2\sqrt{3}+2i[/tex].
Can somebody help me with this assignment I got 5x more assignments to do! Tryna graduate .
HELP HELP HELP HELP ❄️✨
Answer:
Step-by-step explanation:
If you add the section from 1-3 and 4-6 you are adding 8 days plus 13 days. This will give you your answer of 21 days. Answer=D. 21 days
y varies directly as x. y = 72 when x = 6. Find y when x= 13.
y=
(Simplify your answer.)
Answer:
156
Step-by-step explanation:
y = 72 x = 6
72/6 = 12
when x = 13
13 x 12 = 156
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the area of the shape below
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
Answer: 2200
Step-by-step explanation:
First we will find the area of the triangle, the formula for that is bh/2
(base multiplied by height divided by 2) then we input the numbers into our formula, 30 is the height of the triangle and 40 is the length of the base. So we have to solve 40*30/2 which is 600, then we solve for the square on the bottom which is b*h ( base multiplied by height) so it is 40*40, so we would get 1600, then we add 600 and 1600 together and get 2200.
Which graph represents the given equation?
y = :2 + 41 - 2
O. A.
N
X
2
N
-21
B.
ܢܬ
#
2
-21
N
+21
C.
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Answer:
A
Step-by-step explanation:
The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...
x = -4/(2(3/2)) = -4/3
The only graph with its vertex at x=-4/3 is graph A.
_____
Additional comment
You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.
HELPPPPPPP SUMMMMBODYYY
B or A. I'm not sure, because i learned this 5 years ago, but it is a or b. the only reason i dont know which one is because i forgot what a filled in dot, versus a circle means. on point 3 on your number line, there's a circle, and there's a dot on answer A and answer B respectively. if memory serves, it should be B