Answer:
The probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position is 1/72.
Step-by-step explanation:
It is provided that a dance team has 9 dancers to perform different roles in each performance.
The number of arrangements of the 9 dancers in the different roles is:
Number of order of performance = 9!
= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 362880
If the team selects the same order as last performance, then the possible number of arrangements is, 1.
The probability that the team selects the same order as last performance is:
[tex]=\frac{1}{362880}[/tex]
Now it is provided that the team puts the top hip hop dancer in the third position and top break dancer in the first position.
So of the 9 positions the 1st and 3rd are occupied.
There are a remaining 7 positions to be filled by 7 dancers.
That can happen in 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.
Compute the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position as follows:
[tex]=\frac{5040}{362880}\\\\=\frac{1}{72}[/tex]
Thus, the probability is 1/72.
SOMEONE PLEASE HELP!!! in the graph below, find the coordinate of the image point. O is the origin and P is the point (4,3). Ry and Rx are reflections around the x- and y-axes. R p,90 o R o,-90 : (-1,-1)
•(-7,9)
•(-1,-1)
•(6,-2)
Answer:
C.) (6, -2)
Hope this help!
Answer:c(6,-2)vis your answer
Step-by-step explanation: The guy above me is right
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Include a let statement in your answer.
Answer:
5$??.
Step-by-step explanation:
If a magazine was 5$, 25-5= 20. So then, 20÷4= 5. There fore an eraser costs 5$.
Answer:
5 dollars
Step-by-step explanation:
Let x be the price of each eraser
We bought a magazine and 4 erasers with 25 dollars
so : 5+4x = 25⇒ 4x= 20⇒x= 20/4⇒ x=5
The eraser costs 5 dollars
MULTIPLE CHOICE
What is 14+2(3x +9) - 5 when simplified?
A
20x +4
B
6x+27
С
X+27
Answer:
B: 6x+27
Step-by-step explanation:
14+2(3x+9)-5
14+6x+18-5
14+6x+13
6x+27 is the final answer
The Answer is: B
Step-by-step explanation:
PLLLLLLLLLLZZZZZZZZZ
Answer: 4m + 3
Step-by-step explanation:
4m references the 4 bags of marbles and the m marbles in each bag. + 3 references the extra 3 marbles.
250 people went to a "couples only" party at 9pm.70 people left at 11pm, how many couples stayed at the party?
Answer:
90
Step-by-step explanation:
Total People = 250
Left the party at 11 pm = 70
Stayed = 250-70
=> 180
Couples that stayed = 180/2
=> 90
Answer:
90 Couples
Step-by-step explanation:
There were 250 total people at the beginning at the party. 70 people left at 11pm.
Subtract 70 from 250:
[tex]250-70=180[/tex]
There were 180 people that stayed.
A couple consists of two people. The question asks how many couples stayed at the party, not people.
Divide 180 by 2:
[tex]\frac{180}{2}= 90[/tex]
There would be 90 couples that stayed at the party.
pls help i give brainliest
Answer: B no
Step-by-step explanation:
Plot in the x and y coordinates into the equation to solve it.
The x coordinate is 4 and the y coordinate is 1
-4(4) +3(1)= 2
-16 + 3 = 2
-13 ≠2
-13 does not equal 2 so (4,1) is not a solution.
Answer: NO
Step-by-step explanation:
[tex]Substitute \\\\-4(4)+3(1)=2\\\\Multiply\\\\-16+3=2\\\\Combine \\like \\terms\\-13=2[/tex]
-13 does NOT equal 2, so it is not a solution
Hope it helps <3
9. Annie works as a school tutor and a baker. As a tutor, she earns $18 per hour. Last
week she worked x hours as a tutor and her friend paid her $25 to bake a cake.
Write an expression to represent the total amount Annie earned last week.
Type your answer below:
The total amount Annie earned last week 18x+25.
What is work in math ?In conclusion, when a force acts on an object to induce a displacement, labor is done.To determine the amount of work, three quantities must be known. The force, the displacement, and the angle between the force and the displacement are the three variables.Annie earns $18 per hour. and she worked x hours .
So, total work = 18 * x = 18x
but she earned some extra cash = 25$
now Annie's total amount with extra cash = 18x + 25
Therefore, The total amount Annie earned last week 18x+25.
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Consider functions f and g below. [tex]g(x) = -x^2 + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.
Answer:
Step-by-step explanation:
Where is f(x)? My answers pertains only to g(x) = -x^2 + 2x + 4.
Part of B is true: As x approaches infinity in either direction, g(x) approaches negative infinity. The graph of g(x) is an inverted parabola.
A geometric sequence of positive integers is formed for which the first term is 2 and the fifth term is 162. What is the sixth term of the sequence?
Answer:486
Step-by-step explanation:
(Multiply by 3 each time ;))
Hope this helped!
<!> Brainliest is appreciated! <!>
Answer:
multipl each 3 times
Step-by-step explanation:
Find the slope of the line on the graph.
Answer:
m = -3/4
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in 2 coordinates into the formula:
(0, 1) y-int
(4, -2) random
m = (-2 - 1)/(4 - 0)
m = -3/4
If abc=dec b=2x+31 and e=7x-24 x=?
Answer:
x = 11
Step-by-step explanation:
As it is stated the the both the triangle ABC and DEC are congruent, it means that all the angles forms in these triangles are also congruent. We can states that
<A = <D
<C = <C
<B = <E
As both angles B and E are equal to each other, we can equate them
<B = <E
Where <B = 2x+31 and <E= 7x-24, substitute both values in above expression:
2x + 31 = 7x - 24
Solve for x:
7x - 2x = 31 +24
5x = 55
x = 11
Answer:
11
Step-by-step explanation:
Find the equation of the line: With an x intercept of 4 and a y intercept of 1. PLEASE HELP I ONLY HAVE 15 MINUTES LEFT
Answer:
y = -1/4x + 1
Step-by-step explanation:
that is (0,1) and (4,0)
gradient
can be -1/4
c can be y = mx + c
we'll take anyone of the equation
1 = 0 + c
c = 1
last one , somebody help me please .
Answer:
4x -2 = -2x +6
Step-by-step explanation:
The red is negative
4x -2 = -2x +6
Answer:
B
Step-by-step explanation:
which of the following represents a term from 3x^2+8x-10
Answer:
3x^2 or 8x
Step-by-step explanation:
Determine the value of x. answers: 1) 116° 2) 122° 3) 58° 4) 238°
Answer:
B) 122
Step-by-step explanation:
This is because x will equal 180 - 58
Answer:122
Step-by-step explanation:
Trying to find the missing segment to the triangle in the attached image. Any help would be appreciated. Thanks.
Answer:
24 unit
Step-by-step explanation:
This question can be solved using concept of basic proportionality theorem,
according to this theorem, if a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.
Example:
let there be a triangle ABC
if DE is drawn parallel to BC such that D is a point on line AB and E is other point on AC, then
AD/DB = AE/EC (basic proportionality theorem)
_____________________________________
Similarly in this problem
15/5 = ?/8
3= ?/8
? = 8*3 = 24
Thus. missing segment value is 24 unit.
Need Help Please I'm Out Of Time ;(
Identify three temperatures that are colder than -5°C. Then, using complete sentences, explain how you know that they are colder.
Answer:
-7 , -9 and -10
Step-by-step explanation:
The main temperature is -5°C.
-5 is a negative number so a colder temperature will be a number that is less than -5
substracting this number from -5 will give us a positive number
-5-(-7)= 2-5-(-9)= 4 -5-(-10) = 5The sum of three consecutive integers is greater than 66. What is the smallest possible product of the largest and smallest of these integers?
Please help me on this
Answer:
528
Step-by-step explanation:
So naturally at first sight for this question we would think -->
Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.
But no. At second look it is the sum of 3 consecutive integers is greater than 66. So we find the next possible pair since it says smallest possible product.
We get the set (22, 23, 24). => Multiply the least and greatest integers together respectively 22 and 24 which amounts to => 528
And thus, we have out answer of 528
Hope this helps!
I NEED HELP CAN SOMEONE PLEASE ANSWER THIS ASAP PLEASE!!!
Answer:
y = 5x - 3
Step-by-step explanation:
ok so perpendicular just means the opposite reciprocal of the slope of the normal equation. It just means that they form a 90 degree angel when they intersect.
A car begins to depreciate at a rate of 24.9% annually as soon as it is driven off the lot. If a car was purchased for 26,500; how much is it worth after the second year? The equation you used is? What is the value of the car after two years?
Answer:
13197
Step-by-step explanation:
You have to do 24.9*2 and then find that percent of 26500
A garden hose supplies 36 gallons of water in 3 minutes.Use a table of equivalent ratios to show the garden hose's water flow in gallon per minute and minutes
Answer:
Garden hose water flow in gallons per minute(x:y) = 12:1
Minutes per gallon water flow(y:x) = 1:12
Step-by-step explanation:
Complete question below
A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show the garden hose's water flow in gallons per minute and minutes per gallon.
Let
the garden hose water flow=x
Time of glow=y
x:y=36 gallons : 3 minutes
x/y=36/3
x/y=12/1
x:y=12:1
Therefore, garden hose water flow in gallons per minute is given by
x:y = 12:1
Minutes per gallon water flow
y:x=3:36
y/x=3/36
y/x = 1/12
y:x = 1:12
Therefore, minutes per gallon water flow is given by
y:x = 1:12
Table of equivalent ratio for x:y
36:3
24:2
12:1
Table of equivalent ratio for y:x
3:36
2:24
1:12
what is the volume of a right triangle with the dimesions 24 20 12
Answer:
Assuming you mean area the answer is 120
Step-by-step explanation:
a right triangle has too shorter sides who are perpendicular and one longer side that you can't use. the longer side is 24 since 24>20>12
so 24 is the hypontenuse (longer side)
the two perpendicular sides are 20 and 12
the area for a triangle is b*h*1/2
the base (20) times the height (12) is 240. 240 times 1/2 is 120.
Which of the following is equivalent to: -5 - 4?*
Answer:
-9
Step-by-step explanation:
-5 - 4 = -5 + (4)
You are adding two negative numbers, so add the absolute values of the numbers, and the sign of the answer is negative.
-5 - 4 = -(|-5| + |4|) = -(5 + 4) = -9
Lines m and n are parallel. Lines m and n are parallel. Lines s and t intersect lines m and n to form a triangle. The top angle of the triangle is (2 x) degrees. At the intersection of lines s and n, the top left angle is 100 degrees. At the intersection of lines n and 7, the bottom left angle is 70 degrees. What is the value of x? 10 15 30 35
Answer:
B: 15
Step-by-step explanation:
I got it right on Edge
The value of 'x' in the top angle is 5 degrees.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, The angle formed at the top of the triangle is 2x° and the angle formed at the intersection of s and n is 70° and at t and n is 100°.
We know the sum of all the interior angles in a triangle is 180°.
Therefor, 2x + 100° + 70° = 180°.
2x = 10°.
x = 5°.
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Find the area of ΔDEF to the nearest tenth. ANSWERS: A) 127.8 square units B) 46.5 square units C) 63.9 square units D) 23.3 square units
Answer:
C) 63.9 square units
Step-by-step explanation:
From the above diagram, we can see that the triangle has 2 sides and and angle
The formula for the area of a triangle that has 2 sides and an angle = 1/2absinθ
θ = 70°
a = DE = 8 units
b = EF = 17 units
Area of ΔDEF = 1/2 × 8 × 17 × sin 70°
Area of ΔDEF = 63.9 square units.
Answer:
63.9 square units
Step-by-step explanation:I took the test
Are these ratios equivalent?3 feet every 4 seconds,15 feet every 20 seconds.
Answer:
Hey there!
These ratios are equivalent.
The given ratio is 3:4
If we multiply both sides by 5, we will get 15:20.
Thus, the ratios are equivalent.
Let me know if this helps :)
Answer:
What does the tense of the underlined verb reveal about the subject?
The event took place in the past continuously but concluded prior to another past event.
The event took place in the past continuously.
The event concluded prior to another past event.
The event has been completed.
Step-by-step explanation:
A
B
a
If c = 16 and B = 67, find a.
a. 4.5
b. 5.6
C. 6.3
d. 7.4
Please select the best answer from the choices provided
СА
ОВ
Answer:
a
Step-by-step explanation:
The measure of side a is 6.3 unit.
What is Sine law?The ratios of the length of a side to the sine of the angle opposite the side must all be the same if A, B, and C are the measurements of the angles of an oblique triangle and a, b, and c are the lengths of the corresponding sides.
Given:
c= 16 and B= 67 degree
<C= 90 degree
Using sine law
b / sin B = c / sin C
b / sin 67 = 16 / sin 90
b/ sin 67 = 16 / 1
b = 16 sin 67
b = 16 x 0.9205
b = 14. 728
Using sine law
c / sin C = a / sin A
16 / sin 90 = a / sin 23
16 = a / sin 23
a = 6.25
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for each graph state whether it’s a function
Answer:
Graph 1, 4, 6 are functions.
Graph 2, 3, 5 are not functions.
Step-by-step explanation:
If graph of a relation pass the vertical line test, then we can say the relation is a function.
In vertical line test, we draw a vertical line parallel to axis, if graph of relation intersect the line almost once, then we say in is a function.
To check, whether the given relation is function or not, draw verticals lines on each graph as shown below.
In graph 1, open circle means the value x=-1 is not include it that.
From the below figure it is clear that:
Graph 1, 4, 6 pass the vertical line test, so they represent functions.
Graph 2, 3, 5 does not pass the vertical line test, so they are not functions.
Answer all please number 2
Answer:
(a) 26.43%
(b) 189 seconds
Step-by-step explanation:
(a) Data
mean: 3 minutes and 48 seconds = 3*60 + 48 = 228 s standard deviation, sd: 19 svalue of interest, x: 4 minutes = 4*60 = 240 sZ-score is calculated as follows:
z = (x - mean)/sd
z = (240 - 228)/19
z = 0.63
We want to find the next probability P(Z>0.63), which is equivalent to 1 - P(Z≤0.63)
From table, 1 - P(Z≤0.63) = 1 - 0.7357 = 0.2643 or 0.2643*100 = 26.43%
(b) We want to find z1 at which P(Z≤z1) = 0.2. From the second table, z1 is between -2.05 and -2.06.
z = (x - mean)/sd
-2.055 = (x - 228)/19
(-2.055)*19 + 228 = x
x = 189 s
pllllllllzzzzzzz answer this!!!♥️♥️
9514 1404 393
Answer:
a) 7:24 pm
b) later than 7:24 pm
Step-by-step explanation:
The relationship between time, speed, and distance can be written as ...
time = distance/speed
So, Faris's travel time to London is predicted to be ...
time = (195 mi)/(50 mi/h) = 3.9 h = 3:54 hours
__
a) Faris's expected arrival time at a speed of 50 mph is ...
3:30 pm +3:54 = 6:84 pm = 7:24 pm
__
b) Time is inversely proportional to speed, so a lower speed will result in a longer time.
Faris's arrival time will be later than 7:24 pm.