Answer:
The teams can be placed in 479,001,600 ways.
Step-by-step explanation:
To solve this question, we want to know in how many ways 12 elements can be arranged.
Number of possible arrangements of x elements:
The number of possible arrangments of x elements is given by:
[tex]A_{x} = x![/tex]
In this question:
12 teams, so arrangment of 12 elements.
[tex]A_{12} = 12! = 479001600[/tex]
The teams can be placed in 479,001,600 ways.
toby has already cycled 6 kilometers this year, plus he plans to cycle 14 kilometers during each trip to work. after 3 trips to work, how many kilometers will toby have cycled?
Answer:
48 kilometers
Step-by-step explanation:
If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)
please help 6th grade math im new to it pleaae explain good
Answer:
0.6
Step-by-step explanation:
Given the trapezoid formula:
1/2(b1+b2/2)xH
We are given the numbers for the trapezoid:
0.3,0.9,1
To solve this here is what we are going to do.
1/2(0.9+0.3)x1
So add 0.9+0.3=1.2
Then Divide 1.2/2=0.6
So multiply 0.6 x 1=0.6
0.6 is your answer
a farmer has horses and cows if the radio of horses to cows is 3 to 5 and there are 15 horses how many animals are there
Answer:
Step-by-step explanation:
h/c=3/5=15/c
c=25, 25+15=40 animals
HELP ME PLEASE FAST!!!!!!!!!!!!!!!1
Answer:
B.
Step-by-step explanation:
B. is the answer
What does the number of solutions of a system of linear equations represent ?
Answer:
the places where the linear graphs meet are at the same point
⅚of the number of pupils in a class is 4 greater than three-quarters of the number in the class .find the number of pupils in the class
Answer:
48 pupils
Step-by-step explanation:
let the number of people in the class be x
⅚ of the number of pupils in a class is expressed as ⅚x
4 greater than three-quarters of the number in the class is expressed as 3/4x+4
Equating both expressions
⅚x = 3/4x + 4
5x/6 - 3x/4 = 4
(10x-9x)/12 = 4
x/12 = 4
x = 4*12
x = 48
Hence the number of pupils in the class is 48 pupils
Dustin is recording what kind of shoes people are wearing at the mall. He has seen 24 people
wearing boots and 63 people wearing other shoes. What is the experimental probability that
the next person Dustin sees will be wearing boots?
Simplify your answer and write it as a fraction or whole number
P(boots) =
Answer:
P=24/63
that is the probability
Step-by-step explanation:
hope helps
APPLICATION
3. Use the first principle of derivatives to determine the equation of tangent to the
curve y = 1/radical7x at
x = 5
Answer:
[tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinatey₁ - y coordinatem - slopeAlgebra II
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
The definition of a derivative is the slope of the tangent line.Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Chain Rule: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{1}{\sqrt{7x}} \\x = 5[/tex]
Step 2: Differentiate
[Function] Rewrite: [tex]\displaystyle y = \frac{1}{(7x)^\frac{1}{2}}[/tex][Function] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y = (7x)^{-\frac{1}{2}}[/tex][Derivative] Chain Rule [Function]: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{1}{2} - 1} \cdot \frac{d}{dx}[7x][/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot \frac{d}{dx}[7x][/tex][Derivative] Basic Power Rule: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot 1 \cdot 7x^{1 - 1}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-7}{2}(7x)^{-\frac{3}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{-7}{2(7x)^{\frac{3}{2}}}[/tex]Step 3: Find Slope of Tangent Line
Substitute in x [Derivative]: [tex]\displaystyle y'(5) = \frac{-7}{2[7(5)]^{\frac{3}{2}}}[/tex][Tangent Slope] [Brackets] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{2[35]^{\frac{3}{2}}}[/tex][Tangent Slope] Evaluate exponents: [tex]\displaystyle y'(5) = \frac{-7}{2(35\sqrt{35})}[/tex][Tangent Slope] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{70\sqrt{35}}[/tex][Tangent Slope] Simplify: [tex]\displaystyle y'(5) = \frac{-1}{10\sqrt{35}}[/tex][Tangent Slope] Rationalize: [tex]\displaystyle y'(5) = \frac{-\sqrt{35}}{350}[/tex]Step 4: Find Tangent Line Equation
Point (x, y)
Substitute in x [Function]: [tex]\displaystyle y(5) = \frac{1}{\sqrt{7(5)}}[/tex][Function] [√Radical] Multiply: [tex]\displaystyle y(5) = \frac{1}{\sqrt{35}}[/tex][Function] Rationalize: [tex]\displaystyle y(5) = \frac{\sqrt{35}}{35}[/tex]Define point: [tex]\displaystyle (5, \frac{\sqrt{35}}{35})[/tex]Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]Topic: AP Calculus AB/BC
Unit: Derivatives
Book: College Calculus 10e
AY
100
90
80
70
60
50
40
30
20
10
х
0
10 20
30 40 50 60 70 80 90 100
Answer: 849309
Step-by-step explanation:
Find three consecutive even integers such that the product of the first and the second is 8
greater than - 10 times the third integer.
Paul placed black and white square tiles on a rectangular floor using the pattern shown below. If the entire floor measures 9 feet by 12 feet, what is the total number of black tiles that Paul used?
you have to show the pattern
Look at this triangle.
B
8 cm
A А
22 cm
С
Work out length AB.
Answer:
Can your provide a picture ??
Can someone help me solve this
And what does complementary,
supplementary,vertical,
And adjacent angles mean!?!?!
Answer:
angle 6 and 5.
complementary means 2 angles whose sum is 90° and supplementary means 2 angles whose sum is 180°. a way to remember is that is: c(from complementary) is way before s(from supplementary) in the alphabet so you know that complementary has the smaller amount. adjacent angles share the same endpoint of and angle and vertical angles are pairs of the opposite angles made by intersecting lines
Recursive & Explicit Definitions
Given the explicit definition: tx = 2- (n-1) - 5 and that t2 = 4, find t14
Answer:
-n-2
Step-by-step explanation:
Someone help me please crack this code?
Answer:
B=1 C=4 D=6 A=9
Step-by-step explanation:
Its a clock
Answer:
A = 9
B = 1
C = 4
D = 6
Step-by-step explanation:
Brainiest for the right answers...
Answer:
9. B 10. C 11. B 12. B
Step-by-step explanation:
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of 40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was
Complete question is;
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of 40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was p^_B = 0.70 and the proportion of workers from Company C who purchased coffee was p^_C = 0.75.
What is the correct unit of measurement for the mean of the sampling distribution p^_B - p^_C?
A) Days
B) Dollars
C) Companies
D) Workers
E) There are no units associated with the mean of the sampling distribution
Answer:
E) There are no units associated with the mean of the sampling distribution
Step-by-step explanation:
We are given;
Population proportion for workers from Company B who purchase a coffee from the company cafeteria as 0.62
Population proportion for workers from Company C who purchase a coffee from the company cafeteria as 0.71
Now, we were told that a random sample of 40 each were selected from both company B & C and the sample proportion were;
p^_B = 0.70 and p^_C = 0.75
Now, this proportions don't have any units as it is based on a ratio of the number of people that purchased coffee to the number of people surveyed.
Thus we can conclude that p^_B - p^_C will not have any units associated with it.
The possible outcomes of the difference in proportions of the two samples
based on on the individual proportions are not associated with a unit.
The correct option for the unit of measure of the sampling distribution [tex]\hat p_B - \hat p_C[/tex] is E. There are no units associated with the mean of the sampling distribution.Reasons:
The given parameters are;
The proportion of workers of Company B who purchase coffee from the
Company B workers that purchase coffee from the cafeteria = 0.62
Company A workers that purchase coffee from the cafeteria = 0.71
Number of workers in the sample from Company B = 40
Number of workers in the sample from Company A = 40
Proportion of Company B workers who purchase coffee, [tex]\hat p_B[/tex] = 0.71
Proportion of Company C workers who purchase coffee, [tex]\hat p_C[/tex] = 0.75
Required:
The unit of the mean of the sampling distribution of [tex]\mathbf{\hat p_B - \hat p_C}[/tex]
Solution:
The proportion of the workers that purchase coffee is given by the ratio of the number of workers that purchase coffee to the number of workers in the sample.
Therefore;
[tex]\displaystyle \hat p = \mathbf{\frac{Coffee \ buying \ workers}{Total \ number \ of \ workers}}[/tex]
Given that the unit of the numerator and denominator are both workers,
that divide out, we have that the [tex]\mathbf{\hat p}[/tex], [tex]\mathbf{\hat p_B}[/tex], [tex]\mathbf{\hat p_C}[/tex] and therefore [tex]\hat p_B - \hat p_C[/tex] are not
associated with a unit.
Therefore;
The correct option is; E. There are no units associated with the mean of the sampling distribution.
Learn more here about sampling distribution of a sample proportion here:
https://brainly.com/question/14261491
The NY Jets won 45% of its games. If the team won 9 games how
many games did they lose?
a) 45
B) 20
c) 5
d) 11
Answer:
D
Step-by-step explanation:
total games 9/20x=9
x=20
so bubtarcting 9 from 20 we get 11 games which is D
if my answer helps please mark as brainliest.
Factorise completely
X^2+7x-18
Look at the screenshot below
Write the equation of the line passing through the points (-4, 5) and (4, 1).
9514 1404 393
Answer:
y = -1/2x + 3
Step-by-step explanation:
It can work to start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (1 -5)/(4 -(-4))(x -(-4)) +5 . . . . . fill in point values
y = -4/8(x +4) +5 . . . . . . . . simplify a bit
y = -1/2x -2 +5 . . . . . .eliminate parentheses
y = -1/2x +3 . . . . collect terms
Match each statement with the correct reasoning in the proof below.
helpl
Answer:
When demand for goods increases - Price will rise
When supply of goods increases - Prices will fall
Step-by-step explanation:
Supply and demand function works oppositely in economy. When there is huge demand for goods and supply is short then prices will rise. This is because supply is not sufficient to meet the demand and the market is not in equilibrium position.
Please help ASAP ......
Answer:
Closed 11 shaded to the right
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
X is equal to or greater than 12
solve for x please, will give braknliest
30 = 2.5x
What is x equal to? Help please!
Answer:
x = 12
Step-by-step explanation:
30=2.5x for you to find the value of x divide both side by 2.5.
30 = 2.5x
2.5 2.5
12 = x
To check your answer, substitute the value of x.
30 = 2.5 (12)
30 = 30
If it is equal, your answer is correct!
x is equal to 12 in the given equation 30 = 2.5x.
To find the value of x in equation 30 = 2.5x, we can solve for x by isolating it on one side of the equation.
Given equation: 30 = 2.5x
To isolate x, we need to divide both sides of the equation by 2.5:
30/2.5 = (2.5x)/2.5
Simplifying this equation, we have:
12 = x
Therefore, x is equal to 12.
By dividing both sides of the equation by 2.5, we effectively cancel out the multiplication of x by 2.5, leaving us with the value of x. So, when 12 is substituted for x in the original equation, 2.5 times 12 equals 30, confirming that the value of x = 12 satisfies the equation.
Hence, x is equal to 12 in the given equation 30 = 2.5x.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ6
solve the equation 3x+4=20
Answer:
x=8
Step-by-step explanation:
Answer:
3x + 4 = 20
_-_4_-_ 4_
_3x_ =_ 16_
3 3
Step-by-step explanation:
x = 16_
3
what is 8 2/10 minus 4 1/3
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
58 /15
Decimal Form:
3.8 6
Mixed Number Form:
3 13 /15
Step-by-step explanation:
25, 27, 24, 26, 40
A. What is the mean of the data?
B. What is the median of the data?
What is the solution to the expression -2-3-(-4)?
-9
-3
-1
5
Answer:
-1
Step-by-step explanation:
−2−3−(−4)
2) Will the border line of the graph of y< -22 +42 +5 be a solid line or a broken
line?
Answer:
69[tex]) ) 22 + 42 + 5 = 69 \sqrt{()xy { { \sqrt[ log_{e\% \sin( \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \infty \alpha \pi\% log( log( log( log( log( log( log( log(?) ) ) )[/tex]A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 1898 seats, which was 73% of the total number of seats in the theater. How many total seats were in the theater?
Answer:
x = 2600 seats.
Step-by-step explanation:
Let the total number of seats be x.
Given the following data;
Number of seats occupied = 1898 seats
Percentage = 73%
To find the total number of seats;
Translating the word problem into an algebraic equation, we have;
[tex] \frac {73}{100} * x = 1898 [/tex]
Cross-multiplying, we have;
[tex] 73x = 1898 * 100 [/tex]
[tex] 73x = 189800 [/tex]
[tex] x = \frac {189800}{73} [/tex]
x = 2600 seats.
Therefore, the total number of seats in the theater are 2600 seats.