Answer:
P = 1 /362880
Where the numerator is the event of selecting the same order as last performance that is 1.
The denominator is the total number of possible events of selecting the 9 dancers.
p = 1/72
Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.
Step-by-step explanation:
The probability that the team selects the same order as last performance is 1 divided by 362880
Explain where each the numerator and denominator come from
The probability that the team selects the same order as last performance is
P = 1 /362880
Where the numerator is the event of selecting the same order as last performance that is 1.
The denominator is the total number of possible events of selecting the 9 dancers.
Total number of dancers = 9
The 1st dancer can be selected in 9 ways
The 2nd dancer can be selected in 8 ways
The 3rd dancer can be selected in 7 ways
The 4th dancer can be selected in 6 ways
The 5th dancer can be selected in 5 ways
The 6th dancer can be selected in 4 ways
The 7th dancer can be selected in 3 ways
The 8th dancer can be selected in 2 ways
The 9th dancer can be selected in 1 ways
So the total number of ways = 9×8×7×6×5×4×3×2×1 = 362880
What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position?
Lets us put the top hip hop dancer in the third position and top break dancer in the first position then the remaining 7 dancers can be selected in
7×6×5×4×3×2×1 = 5040 ways
So the required probability is,
P = 5040/362880
P = 1/72
P = 0.0139
Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.
[PLEASE ANSWER BOTH QUESTIONS] The following data points represent the number of quesadillas each person at Toby's Tacos ate. Sort the data from least to greatest. Find the interquartile range (IQR) of the data set.
Answer:
Part 1: Already solved.
Part 2: 1 quesadilla.
Step-by-step explanation:
Part 1: The data points given are 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, and 2.
The data are already sorted from least to greatest.
Part 2: To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.
There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.
Since we know the median is 1, we can find the first quartile by finding the median of the following numbers: 0, 0, 1/4, 1/2, 1/2 (any number less than 1). There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with a first quartile of 1/4.
Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "1": 1, 1, 5/4, 2, 2. Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with a third quartile of 5/4.
Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile. 5/4 - 1/4 = 4/4 = 1.
So, your interquartile range is 1 quesadilla.
Hope this helps!
Answer:
1
Step-by-step explanation:
On khan
a savings account receives 12% simple interest p.a. how long would it take for £30000 to gain £28800 in interest
Answer:
8 yearsStep-by-step explanation:
Given,
Principal (P) = £ 30000
Simple Interest ( I ) = £ 28800
Rate (R) = 12%
Time (t) = ?
Now,
[tex]t = \frac{i \times 100}{p \: \times \: r} [/tex]
[tex] = \frac{28800 \times 100}{30000 \times 12} [/tex]
[tex] = \frac{2880000}{360000} [/tex]
[tex] = 8 \: years[/tex]
Hence, It would take 8 years.
Hope this helps...
Good luck on your assignment...
PreCalculus Unit 3 Activity 90 POINTS
Answer:
19900kk
Step-by-step explanation:
i need deez points fr doe
Step-by-step explanation:
convert the angle from radian to degree you will get 225°
To draw it draw first 180° then ad 45° to make it easy
Given:
OA⊥OB, DE tangent at D
Prove: ∠ECD≅∠EDC
Answer:
x
Step-by-step explanation:
Whats the square route of 49?
Answer:
The square root of 49 is 7.
Step-by-step explanation:
To find the square root of 49, you would need to look at the possible multiplication equations. For example:
1 x 49 = 49
7 x 7 = 49
49 x 1 = 49
As you can see, 7 x 7 would have the square root of 49, which is 7.
7^2=49
.
In conclusion, the square root of 49 is 7
Answer:
The square route of 49 is 7.
Step-by-step explanation:
All you have to do is 7 x 7 = 49
There. You have your correct answer.
PLEASE HELP ME I need it ASAP
Answer:
First question: D Second question: A
Step-by-step explanation:
Use the formulas given and plug them in
Check all solutions to the equation. If there are no solutions, check "None."
x=-81
Answer:
none
Step-by-step explanation:
If a squared variable is equal to a negative number, all of the solutions are imaginary
There are no real solutions
Answer:
The correct answer is none.
How many molecules are in4 moles of HCl?
Answer:
8
Step-by-step explanation:
4(HCL)
H=1 mol,CL=1 mol
4(1+1)
4(2)
4x2=8molecules
Which represents a measure of volume?
5 cm³
5 square cm
5 cm
5 cm²
The answer is A) 5 cm³
Volume is represented by cubic units.
Hope it helps <3
Find (F/g)(x)
F(x) = sqrt x^2-1
g(x) sqrt x-1
Answer:
Option A. √(x + 1)
Step-by-step explanation:
Data obtained from the question include:
f(x) = √(x² – 1)
g(x) = √(x – 1)
(f/g) (x) =..?
(x² – 1) => difference of two square
(x² – 1) => (x – 1)(x + 1)
f(x) = √(x² – 1)
f(x) = √(x – 1)(x + 1)
(f/g) (x) = f(x) /g(x)
f(x) = √(x – 1)(x + 1)
g(x) = √(x – 1)
(f/g) (x) = √(x – 1)(x + 1) / √(x – 1)
(f/g) (x) = √[(x – 1)(x + 1) / (x – 1)]
(f/g) (x) = √(x + 1)
which ones do i check
Answer:
Has exactly one pair of parallel sides.
Step-by-step explanation:
Has exactly one pair of parallel sides.
PLEASE HELP ME ASAP!!!! I DON'T UNDERSTAND THIS!!!!
Answer: 62
Step-by-step explanation:
The surface area of a rectangular prism is 2(wl+hl+hw).
Simply plug in the values to get 62
Answer:
62cm ^2
Step-by-step explanation:
every cube has 6 sides,
2(3*5) + 2(2*3)+ 2(2*5)=
2(15)+2(6)+2(10)=
30+12+20=
62
please help look at the picture....
McConnell owns a small computer firm thag he inherited from his father. He has no other source of income, but he might start another small firm a couple of months later. What form do you think he should fill for filling his returns? A. W-2 form B. IRS return form C. W-4 form D. 1040-EZ form
Answer:
D) 1040- EZ Form
Step-by-step explanation:
Hope this helps!
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
20°solution,
Angles in a straight line ( linear pair)= 180°
180°-110°=70°
Now,
Sum of angle in triangle= 180°
[tex]70 + x + x + 70 = 180 \\ or \: 70 + 2x + 70 = 180 \\ or \: 140 + 2x = 180 \\ or \: 2x = 180 - 140 \\ or \: 2x = 40 \\ or \: x = \frac{40}{2} \\ x = 20[/tex]
Hope this helps...
Good luck on your assignment...
On February 2nd, Jordan is going on a class trip to Washington D.C. He is saving his weekly allowance to use as
spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week, and he records
the total amount of money he has saved in the table below.
Week
January 4 January 11 January 18 January 25 February 1
Total $ Saved
$86
$94
$102
With only two weeks left before the trip, Jordan wants to predict how much money he will have to bring on the trip. What
is the total amount of money that Jordan will have saved on February 1st?
$106
$110
$116
$118
Answer:
$118
Step-by-step explanation:
The amount Jordan will have on 1st of the February is $118
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Given that, On February 2nd, Jordan is going on a class trip to Washington, D.C. He is saving his weekly allowance to use as spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week,
The saving are
In 1st week = $86
In 2nd week = $94
Therefore, we can consider the coordinates as (1, 86) or (2, 94)
We know that, standard equation of a line = y = mx+c
Where, m is the slope,
We have here slope = 8
Finding for c, put x = 1 and y = 86
c = 78
Now finding the amount for 5 weeks, that means x = 5
y = 5x8+78
y = 118
Hence, The amount Jordan will have on 1st of the February is $118
For more references on slope, click;
https://brainly.com/question/3605446
#SPJ2
Sam, John, Matt, and Bob are going to drive to Florida. It is a 8 1/4 hour drive. Sam drove 1 1/3 hours. John drove 1 5/6 hours. Matt drove twice as long as John. How many hours did Bob drive if he drove the remaining time?
Answer:
Step-by-step explanation:?
Step-by-step explanation:
total hours = 8 1/4= 33/4
Sam = 1 1/3 = 4/3
john=1 5/6 =11/6
matt= twice as long as john= 2(1 5/6)= 11/3
Bob= x
4/3+11/6+11/3 + x =33/4
11+22+8/6 + x =33/4
41/6 + x =33/4
x = 33/4 - 41/6
x= 99-82/12
x=17/12
x =1 5/12
therefore Bob drove 1 5/12.
I am interested in the how, not just an answer. Who can show me the correct solution path?
SOMEONE PLEASE HELP ME ASAP PLEASE!!
Answer:
1
Step-by-step explanation:
answer is 1 trust me use simple algebra
80.5 square feet scaled up by a factor of 10
Answer:
805
Step-by-step explanation:
Scaling up by a factor of ten means that you must multiply the original number by 10. Because 10 has one zero, the best way to figure this out is just moving the decimal to the right ONCE (just like there is ONE zero)! This gives us 805.
If you have any other questions about this concept, please comment on my answer!!
Evaluate x^1-x^-1+ x^º for x= 2.
Answer:
5/2
Step-by-step explanation:
Step 1: Plug in x
2¹ - 2^-1 + 2⁰
Step 2: Evaluate
2 - 1/2 + 1
3/2 + 1
5/2
Answer:
[tex]\boxed{\frac{5}{2} }[/tex]
Step-by-step explanation:
=> [tex]x - x^{-1} + x^0[/tex]
Rule of exponents [tex]x^0 = 1[/tex]
For x = 2
=> 2 - [tex](2)^{-1}[/tex] + 1
=> 5 / 2
=> [tex]\frac{5}{2}[/tex]
which of the sequence is an arithmetic sequence?
Answer:
D
Step-by-step explanation:
An arithmetic sequence has to increase or decrease by the same amount each time
-3 ,-10,-17,-24,-31
Decreases by 7 each time so it is an arithmetic sequence
Answer:
i think its D not to sure
Step-by-step explanation:
Does the graph represent a function?
Answer:
yes
Step-by-step explanation:
When 10 b = 5 (StartRoot c EndRoot + 2) is solved for c, one equation is c = (2b minus 2) squared Which of the following is an equivalent equation to find c? c = 10 b minus 10 minus 5 c = (10 b minus 10 minus 5) squared c = StartFraction (10 b minus 2) squared Over 25 EndFraction c = StartFraction (10b minus 10) squared Over 25 EndFraction
Answer:
Option D.
Step-by-step explanation:
The given equation is
[tex]10b=5(\sqrt{c}+2)[/tex]
We need to find an equation which is equivalent to the given equation.
Using distributive property, we get
[tex]10b=5(\sqrt{c})+5(2)[/tex]
[tex]10b=5\sqrt{c}+10[/tex]
Subtract both sides by 10.
[tex]10b-10=5\sqrt{c}[/tex]
Divide both sides by 5.
[tex]\dfrac{10b-10}{5}=\sqrt{c}[/tex]
Taking square on both sides.
[tex]\left(\dfrac{10b-10}{5}\right)=(\sqrt{c})^2[/tex]
[tex]\dfrac{(10b-10)^2}{25}=c[/tex]
[tex]c=\dfrac{(10b-10)^2}{25}[/tex]
This equation is equivalent to the given equation.
Therefore, the correct option is D.
Answer:
d on edgenuity
Step-by-step explanation:
Grace's mom gave her $15.00 to buy school supplies. Grace needs to buy 3 mechanical pencils and some notebooks. If each mechanical pencil costs $1.75 and each notebook costs $2.99, how many notebooks can Grace buy using only the money her mom gave her? 2 notebooks 3 notebooks 4 notebooks 5 notebooks
Answer: 3 notebooks
Step-by-step explanation:
First take the three mechanical pencils out of the equation by doing
15 - (3*1.75) = 9.75. Because each notebook costs 3 dollars, she can afford 3 notebooks, with 1 dollar left over.
Hope it helps <3
Answer:
3 notebooks
Step-by-step explanation:
(1,75x3)=5.25 15.00-5.25=9.75
2.99x=9.75
x=3,26
so she can buy 3 notebooks
PLEASE HURRY! ILL GIVE BRAINLEIST!
The school baseball team has 3 pitchers. How many different 3-player pitching schedules can the coach choose from?
A. 3 schedules B. 5 schedules C. 6 schedules D. 9 schedules
Answer:
b
Step-by-step explanation:
DeShawn and Pranav each improved their yards by planting daylilies and shrubs. They bough
their supplies from the same store. DeShawn spent $143 on 9 daylilies and 4 shrubs. Pranav
spent $198 on 14 daylilies and 4 shrubs. Find the cost of one daylily and the cost of one shrub
Answer:
Daylilies cost $11 and shrubs cost $11
Step-by-step explanation:
Let's call the cost of daylilies as x and the cost of shrubs as y. We can write:
9x + 4y = 143 -- Equation 1
14x + 4y = 198 -- Equation 2
5x = 55 -- Subtract Equation 1 from Equation 2
x = 11 -- Divide by 5
9 * 11 + 4y = 143 -- Substitute x = 11 into Equation 1
4y = 44 -- Subtract 99
y = 11 -- Divide by 4
What is the value of x in the equation 5 (4 x minus 10) + 10 x = 4 (2 x minus 3) + 2 (x minus 4)? Negative StartFraction 7 Over 4 EndFraction Negative one-fourth StartFraction 3 Over 20 EndFraction Three-halves
Answer:
x= 3/2 = 1.5
Step-by-step explanation:
● 5(4x-10)+10x =4(2x-3)+2(x-4)
Simplify the products
● 5*4x-5*10+10x = 4*2x-4*3+2*x-2*4
● 20x-50+10x = 8x-12+2x-8
Add the terms that don't contain x with each other
●20x-50+10x = 8x-20+2x
Add 20 in both sides
●20x-50+20+10x = 8x-20+2x+20
●20x-30+10x = 8x+2x
Add together the terms that contain x
●30x -30 = 10x
Add -10x in both sides
●30x-30-10x = 10x-10x
● 20x -30 = 0
Add 30 in both sides
● 20x-30+30 = 30
● 20x = 30
Divide both sides by 20
●20x/20 = 30/20
● x= 30/20
● x= 3/2
● x= 1.5
Answer:
3/2
Step-by-step explanation:
in the diagram below, p is circumscribed about quadrilateral abcd. what is the value of x
angle c= 88 degrees
angle a= x+10 degrees
Answer:
40
Step-by-step explanation:
if (ax+b)(ax+c)=4x^2-25 for all values of x, and a, b, and c are constants, what is the value of b+c?
Answer: 10.
Step-by-step explanation:
You are given the equation
(ax+b)(ax+c)=4x^2-25
Expand the Left hand side by opening the bracket.
a^2x^2 + axc + abx + bc
a^2x^2 + (axc + abx) + bc = 4x^2 + 0x - 25
From the equation above, we can see that;
a^2x^2 = 4x^2
a^2 = 4
a = √4
a = 2
Also, axc + abx = 0x
axc = abx
ax will cancel out from both sides
c = b
From the equation, bc = 25
But c = b. Substitute c for b
b^2 = 25
b = √25
b = 5 = c
b + c is therefore 5 + 5 = 10