Triangle ABC is rotated 180 degrees around point E, therefore, A maps to D, B maps to C, and C maps to B.
===================================================
Explanation:
If you were to rotate triangle ABC 180 degrees around point E, then it would line up perfectly with triangle DCB
Point A lands on point DPoint B lands on point CPoint C lands on point BNote how in the sequence ABC we have A first, B second, then C third
Then for the sequence DCB we have D first, C second, then B third
This order matters so we can pair up the points properly
A goes to D (A is first of ABC; D is first of DCB)B goes to C (B is second in ABC; C is second in DCB)C goes to B (C is third in ABC; B is third in DCB)Twenty distinct cars park in the same parking lot every day. Ten of these cars are USmade while the other ten are foreign-made. The parking lot has exactly twenty spaces all in a row so the cars park side by side. However, the drivers have varying schedules so the position any car might take on a certain day is random. What is the probability that on a given day, the cars will park in such a way that they alternate (i.e., no two US-made cars are adjacent and no two foreign-made cars are adjacent)?
Answer:
The probability that on a given day, the cars will park in such a way that they alternate is 1.0825 × 10⁻⁵.
Step-by-step explanation:
It is provided that the cars will be parked in such a way that they will be alternating: US made, foreign made, US made, foreign made, etc.
First park all the US cars. This can be done in 10! ways, since the cars are distinct.
Now park the foreign cars between the US cars. This can also be done in 10! ways.
Since the sequence could begin either with a US car or with a foreign car, the possible number of ways to park alternating cars is
Favorable Outcomes = 2 × 10! × 10!
The total number of ways to park the 20 distinct cars is,
Total Outcomes = 20!
Compute the probability that on a given day, the cars will park in such a way that they alternate as follows:
[tex]P(\text{Alternate Parking})=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}[/tex]
[tex]=\frac{2\times 10!\times 10!}{20!}\\\\=\frac{2\times 10!\times 10!}{20\times 19\times 18\times ...10!}\\\\=\frac{2\times 10!}{20\times 19\times 18\times ...11}\\\\=1.0825\times 10^{-5}[/tex]
Thus, the probability that on a given day, the cars will park in such a way that they alternate is 1.0825 × 10⁻⁵.
f (x) = 4x + 7. Find the inverse of f(x).
O A. f-1 (x) = -74
OB. f-'(x) = 7 - 4x
O c. f-1(x) = 11
O D. f ? (x) = 4x – 7
Anybody please ? I suck at math !
Answer:
C. f(x) = x - 7 all over 4
Step-by-step explanation:
NB: Let f(x) = y
Exchange X and Y
Make y the subject
f(x) = 4x + 7
y = 4x + 7
x = 4y + 7
x - 7 = 4y
x - 7 all over 4 = 4 ÷ 4
y = x - 7 all over 4
Compute please help
Answer:
- 3.46 + ( - 4.23 ) = 7.69
- 5.6 + 27.4 = 21.8
HELP ME QUICK PLEASEE!!
4. (03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input (x) 3 4 5 6
Output (y) 3 4 5 6
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) - 2x + 16. Which relation has a greater value when x = 6? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) - 40? (5 points)
(10 points)
Answer:
A) is a function
B) f(x) is greater
C) x = 12
Step-by-step explanation:
A) Yes, the relation is a function.
A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.
__
B) The table says y=6 for x=6.
f(6) = 2(6)+16 = 28
f(x) has a greater value for x=6.
__
C) Substituting the given information, we have ...
40 = 2x +16
24 = 2x
12 = x
The value of x is 12 when f(x) is 40.
PLEASE HELP 20 points + brainliest
Simplify: -3 1 over 2 - (-12 1 over 4)
Answer:
4) 8 3/4
Step-by-step explanation:
I looked it up on m a t h w a y. c o m /Algebra
In math what number acts like a switch
A submersible vessel at an elevation of -75 feet to 5 times that elevation what is the vessel’s new elevation
Answer:
375 ft
Step-by-step explanation:
you just multiply it times 5
Answer:
375 ft
Step-by-step explanation:
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. There were twice as many large boxes shipped as small boxes shipped and the total weight of all boxes was 1435. Determine the number of small boxes shipped and the number of large boxes shipped.
Answer:
There were 7 small boxes and 14 large boxes shipped.
Step-by-step explanation:
This problem may be solved by a system of equations:
I am going to say that:
x is the number of small boxes used
y is the number of large boxes used
There were twice as many large boxes shipped as small boxes shipped
This means that y = 2x
Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. The total weight of all boxes was 1435 pounds.
This means that 45x + 80y =1435
So we have to solve the following system:
y=2x
45x + 80y =1435
45x + 80 (2x) = 1435
205x = 1435
x= 1435/205
x=7
y=2x= 2(7) = 14
There were 7 small boxes and 14 large boxes shipped.
What is 5x5 to 4x2.....
Answer:
25, and 8
Step-by-step explanation:
5 x 5 = 25
4 x 2 = 8
Answer:
Step-by-step explanation:
5x5 = 10
4x2 = 8
PLEASE HELP WORTH 40 POINTS! ANSWER QUICK PLEASEEE
(a) Does each triangle have the same change in x-values? Explain.
(b) Does each triangle have the same change in y-values? Explain.
(c) Does each triangle have the same ratio of change in y-values over change in x-values? Explain
Answer:
SPLEASE HELP WORTH 40 POINTS! ANSWER QUICK PLEASEEE
(a) Does each triangle have the same change in x-values? Explain.
(b) Does each triangle have the same change in y-values? Explain.
(c) Does each triangle have the same ratio of change in y-values over change in x-values? Explain
tep-by-step explanation:
g Explain why x is a discrete random variable. A. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. B. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely. C. The event x is a discrete random variable because the values of the random variable are countable. D. The event x is a discrete
Answer:
Correct option: C
Step-by-step explanation:
A random variable, denote by X, is a variable whose probable values are numeric and are of a random occurrence. There are two types of random variables, discrete and continuous.
A discrete random variable is the one which takes on only a finite number of distinct values such as 0, 1, 2, 3, 4... For example, the number of female members in a family, the daily attendance at a yoga class, the number of defective light bulbs in a box of five bulbs.
The probability distribution of a discrete random variable consist of a list of probabilities related with the respective possible values. It is also known as the probability mass function.
The correct statement describing X is:
C. The event x is a discrete random variable because the values of the random variable are countable.
Of the following statements, which one or ones describe actions helpful to your credit score?
1. Quickly paying off debts
II. Having recent debts
III. Having long-standing lines of credit
a. I only
b. II and III
c. I and HII
d. III only
Answer:
a is the answer
Step-by-step explanation:
Consider the following simplified algebraic expression.
10x*y+6x - 7y2-6
Which could be the original expression?
8x*y+7x? - 5y?+3x-2+ 2x*y- x - 2y + 3x-4
Bx+y+ 7x? -5y?+3x-2+ 2x*y-x - 2y2 - 3x-4
8x*y+7x? - 5y2 + 3x+2+2xºy- x? - 2y3 - 3x-4
8x+y+7x2 - 5y2 + 3x-2-2x*y-x-2y? - 3x-4
Answer:
the answer is the second option hope this helped
Step-by-step explanation:
Answer:
b :)
Step-by-step explanation:
Helppppppppppppppppppppppppp
Answer:
B
Step-by-step explanation:
Step 1: Translate word to math
"Five" = 5
"less than" means subtraction
"quotient" means division
"a number" = n
"and" means with (in this case)
"3" = 3"
"is" means equal
"-7" = -7
Step 2: Set up equation (combine)
n/3 - 5 = -7
The function m = 30 - 3r represents the amount m (in dollars) of money you have after renting r video games. What is the range of the function?
Anyone know advanced linear algebra and modern algebra?
Answer:
albinia modern alpinia is not a magnet is called the albanian language
Answer:
I know mrden algebra because I am in algebra
Step-by-step explanation:
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clothing that costs $180? (3 points)
Answer:
10.80
Step-by-step explanation:
Sales price x sales tax rate = sales tax
180 x .06 (6%) = 10.80
The amount of sales tax for the clothing that costs $180 is $10.8.
Given that,
Cost of a clothing = $180
We have to find the sales tax amount.
Sales tax is calculated as a percentage of the sales price.
Here,
Sales tax percentage = 6%
In order to find the actual sales tax amount, we have to multiply the cost with the percentage of sales tax.
Sales tax amount = 6% of 180
= (6/100) 180
= 0.6 × 18
= 10.8
Hence the sales tax amount is $10.8.
Learn more about Sales Tax here :
https://brainly.com/question/29442509
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I need some help. Could someone explain it to me?
A relation between two variables a and b is a rule that takes some values a from a domain set and returns some value b in the range set.
The table says that, if you give 0, the relation returns 2. If you give 1, you get 6. If you give 4, you get -9. If you give 8, you get 8 back.
The domain is the set of values the relation can take, so here it is the set {0, 1, 4, 8}.
From the given choices, only 0 belongs to the domain.
how can i reduce -8/-3
Answer: there are really too many options...
Step-by-step explanation:
If you just want to keep it in simplest fraction form, the negatives cancel, giving you 8/3
But if you want to make it a mixed number, the negatives still cancel and since three goes into eight twice, with two leftover, you get 2 2/3
But if you want to make it a decimal, eight divided by three gives you 2.6666 repeating
Hope I helped! If I did, hopefully you don't mind marking me the brainliest...?
i need help with the, Mia profit or loss for the money January account everfi
Answer:
is there more to the question
As of a certain date, there had been a total of 14,649 performances of two shows on Broadway, with 2389 more performances of Show A than Show B. How many performances were there of each show? There were performances for Show A.
Subtract the difference:
14,649 - 2389 = 12,260
Divide that by 2
12,260 / 2 = 6,130
That is the number of shows for B.
For A add the 2,389 to the number of shows for B
2389 + 6130 = 8,519
Show A = 8,519
Show B = 6,130
Answer:
14,649 - 2389 = 12,260
Divide that by 2
12,260 / 2 = 6,130
That is the number of shows for B.
For A add the 2,389 to the number of shows for B
2389 + 6130 = 8,519
Show A = 8,519
Show B = 6,130
Step-by-step explanation:
express 5/8 as a percent
Answer:
62.5%
Step-by-step explanation:
you would do 5 divided by 8 to find the decimal form then move the decimal over 2 spots to the right and that is the percent value.
NEED HELP GIVING 15 POINTS
Choose the one problem that has NOT been done correctly. Start your response with the number you choose and explain the mistake that was made in the problem.
Answer:
1
Step-by-step explanation:
didn't mulitiply by -2
Suppose the last column of AB is entirely zero but B itself has no column of zeros. What can you say about the columns of A? Choose the correct answer below. A. The columns of A must be the identity matrix columns because if the last column in B is denoted , then the last column of AB can be rewritten as A0. This implies that A must be the identity matrix to ensure that the last column of AB is all zeros. B. The columns of A are linearly independent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since is not all zeros, then the only solution to A0 is the trivial solution. C. The columns of A are linearly dependent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since is not all zeros, then any solution to A0 can not be the trivial solution. D. The columns of A must all have entries of zero because if the last column in B is denoted , then the last column of AB can be rewritten as A0. This implies that A must have columns that are composed of only zeros and therefore AB must be the zero matrix.
Answer:
The correct option is C, the columns of A are linearly dependent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since B is not all zeros, then any solution to A0 can not be the trivial solution
Step-by-step explanation:
Firstly, have to define linear dependency to get a clear picture of what is to be done.
If we have two vectors A and B, they are said to be linearly independent if Ax + By = 0 if and only if x = y = 0. Otherwise they are linearly dependent.
Now, let p denote the last column of the matrix B. We are given that the last column of AB is zero, therefore Ap = 0. Although p is not the zero vector, because B has no columns of zeros, therefore the equation Ap = 0 is a linear dependence relation among the columns of A. Hence, the columns of A are linearly dependent.
Rename 8/9 and 7/18 using the least common denominator.
Answer:
LCD = 18
8/9 = 16/18
7/18 = 7/18
Step-by-step explanation:
This is the answer because:
1) First, the least common denominator is 18 because 9 x 2 is 18 and 18 x 1 is 18
2) Next, multiply the numerators with the same number you multiplied with the denominator
8 x 2 = 16
7 x 1 = 7
3) Therefore, the answers are:
8/9 = 16/18
7/18 = 7/18
Hope this helps!
An interior wall of a building is made up of metal studs
Answer:
4 5/8"
Step-by-step explanation:
quizlet will have all the answers btw
A jury pool has 17 men and 24 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the following probabilities:
Give all answers accurate to six decimal places.
a) all men
b)all women
c) 8 men 4 women
d) 6 men 6 women
Answer:
since [tex]17+24=41[/tex]
a) [tex]\frac{\binom{17}{12}}{\binom{42}{12}}[/tex]
b) [tex]\frac{\binom{24}{12}}{\binom{42}{12}}[/tex]
c) [tex]\frac{\binom{17}{8} \cdot \binom{24}{4}}{\binom{42}{8}\cdot\binom{36}{4}}[/tex]
d) [tex]\frac{\binom{17}{6}\cdot\binom{24}{6}}{\binom{17}{6}\cdot\binom{36}{6}}[/tex]
Just calculate these. If there is anything wrong just let me know.
5. A man purchased a sewing machine for ₹1250 and spent ₹250 on its transportation. He sold it for ₹1600. Find his profit percent.
Answer:
COST PRICE=1250+250=1500
SELLING PRICE=1600
GAIN=1600-1500=100
GAIN PERCENT=>
Step-by-step explanation:
I HOPE ITS HELP YOU
PLEASE HELP ILL GIVE BRAINLIEST!! IGNORE THE 6 POINTS THATS JUST HOW MUCH THE QUESTION IS WORTH IN THE GRADEBOOK
Answer:
100 degrees
Step-by-step explanation:
(18 - ab) + 4b (if a = -2 and b = -5)
Answer:
-12
Step-by-step explanation:
if a=-2 and b=-5
(18-(-2×-5))+4(-5)
(18-(10))-20
8-20
-12
just gotta plug in the given into the equation
Answer:
person above me is correct
Step-by-step explanation