Answer: The second one doesn't belong.
Step-by-step explanation:
The 1st, 3rd, and 4th are reflections, the 2nd one is a translation.
The solution is Figure B.
The figure A , figure C and figure D are undergoing reflection and the figure B is translated 2 units down
What is Translation?
A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the first figure be A
Now , the figure A is reflected over the y axis and only the x coordinate of the figure changes
So , it is a reflection
Let the second figure be B
Now , the figure B is translated down by 2 units and the y coordinates of the figure B changes
So , it is a translation
Let the third figure be C
Now , the figure C is reflected over the x axis and only the y coordinate of the figure changes
So , it is a reflection
Let the fourth figure be D
Now , the figure D is reflected over the x axis and only the y coordinate of the figure changes
So , it is a reflection
Hence , the figure B represents a translation transformation
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Define the domain of the following:
{-2, -1, 0, 2, 5}
{-2, -1, 0, 1, 2, 3, 4, 5}
All Real Numbers
{3, -1, 3, 1, 2}
The domain of the relation in the graph is:
{-2, -1, 0, 2, 5}
How to define the domain for the graph?A relation maps elements from one set (the domain) into elements from another set (the range).
Such that the domain is represented in the horizontal axis.
In the graph, we can see the points:
{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}
The domain is the set of the first values of these points, then the domain is:
{-2, -1, 0, 2, 5}
The correct option is the first one.
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mount everest begins on a plain that is 14,000 feet high, then the summit sits at 29,028 feet. the difference between the height of these two areas is called the .
The elevation gain of Mount Everest is 15,028 feet, a very impressive feat considering it is the highest elevation gain of any mountain in the world.
The difference between the height at the base of Mount Everest, which is 14,000 feet and the summit, which is 29,028 feet is 15,028 feet. This is also known as the elevation gain. It can be calculated using the following formula:
Elevation Gain = Summit Height - Base Height
So in this case, Elevation Gain = 29,028 ft - 14,000 ft
Which gives us: Elevation Gain = 15,028 ft
The elevation gain of Mount Everest is 15,028 feet, a very impressive feat considering it is the highest elevation gain of any mountain in the world. It is also the highest mountain in the world, with the summit standing at an impressive 29,028 feet. This is a testament to the power of nature and the sheer scale of Mount Everest.
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12 accidents on a road. Three were serious.
In May there wer
a
What fraction of the accidents in May were serious?
Write the fraction in its simplest form.
In June there were 15 accidents. Five were serious.
b What proportion of the accidents in June were serious?
c Which month had the higher proportion of serious accidents?
a. 1/4 of the accidents in May were serious.
b. 1/3 of the accidents in June were serious.
c. June had a higher proportion of serious accidents than May.
What is the fraction?A fraction is represented as a numerical indication of a part of a whole that represents a rational numeral.
a. To find the fraction of accidents in May that were serious, we divide the number of serious accidents by the total number of accidents:
Fraction of serious accidents in May = 3/12
Simplifying the fraction in the simplest form as:
3/12 = (3 ÷ 3) / (12 ÷ 3) = 1/4
Therefore, 1/4 of the accidents in May were serious.
b. To find the proportion of accidents in June that were serious, we divide the number of serious accidents by the total number of accidents:
The proportion of serious accidents in June = 5/15
Simplifying the fraction in the simplest form as:
5/15 = (5 ÷ 5) / (15 ÷ 5) = 1/3
Therefore, 1/3 of the accidents in June were serious.
c. The proportion of serious accidents in May and June, we can compare the fractions we obtained in parts (a) and (b).
1/4 is less than 1/3, which means that June had a higher proportion of serious accidents than May.
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The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg and 81 kg. What is the mass of the fifth man
The mass of the fifth man is 153 kg.
The mean mass of five men is 76 kg.
The masses of four of the men are 72 kg, 74 kg, and 81 kg.
To solve this problem, we need to apply the concept of the mean of a set of data.
The mean is the average of all the values in a set of data.
It is calculated by adding up all the values and dividing by the total number of values in the set.
To find the mass of the fifth man, we need to use the mean of the entire set and the masses of the four men that are already given.
The formula to find the mean of a set of data is:
\(Mean = \frac{(sum of all the values)}{(total number of values)}\)
Let x be the mass of the fifth man.
Then we can write an equation using the given information:
\(Mean = \frac{(72 + 74 + 81 + x)}{5}\)
Substitute the given mean of 76 kg into the equation and solve for x:
\(76 = \frac{(72 + 74 + 81 + x)}{576 × 5} = 227 + x\)
Multiply both sides by 5:
\(380 = 227 + x\)
Subtract 227 from both sides:
\(153 = x\)
Therefore, the mass of the fifth man is 153 kg.
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what is the quotient of the rational expression below? 3x+1/x+8 ÷ x-7/5x
Answer:
8x^2 + 45/5x
Step-by-step explanation:
write the division as a fraction
3x+ 1/x + 8/x - 7/5x
using a=a/1, convert the expression into a fraction
3x/1 - 7/5x
calculate the product
3x/1 - 7x/5
expand the fraction to get the least common denominator
5 x 3x/ 5 x 1 - 7x/5
multiply the numbers
15x/5 - 7x/5
write all numerators above the common denominator
15x - 7x/5
collect like terms
8x/5
write the factor as a product
8/5 x + 1/x + 8/x
calculate the product
8x/5 + 5 x 1/5x + 5 x 8/5x
expand the fraction to get the least common denominator
X x 8x/X x 5 + 5/5x + 5 x 8/5x
multiply the numbers
X x 8x/X x 5 + 5/5x + 40/5x
calculate the product
8x^2/5x + 5/5x +40/5x
write all numerators above the common denominator
8x^2 + 5 + 40/5x
add the numbers and that's the answer
8x^2 + 45/5x
(that was l o n g)
I have no idea about this.
Can anyone suggest any approach?
Answer:
Step-by-step explanation:
translate
hector and Alex traded video games. Alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to his brother. Alex ended up with 16 video games. how many video games did Alex have when he started?
Answer:
he started with either 20 or 15 i probably thought about this way to much so this is the best i could come up with
Step-by-step explanation:
SAT test scores are normally distributed with a mean of 500 and a standard deviation of 100. Find the probability that a randomly chosen test-taker will score between 470 and 530. (Round your answer to four decimal places.)
The probability that a randomly chosen test-taker will score between 470 and 530 is 0.2358 (or 23.58% when expressed as a percentage).
To solve this problem, we need to use the standard normal distribution formula:
Z = (X - μ) / σ
where Z is the standard score (z-score) of a given value X, μ is the mean, and σ is the standard deviation.
First, we need to convert the given values of 470 and 530 to z-scores:
Z1 = (470 - 500) / 100 = -0.3
Z2 = (530 - 500) / 100 = 0.3
Next, we need to find the probability that a randomly chosen test-taker will score between these two z-scores.
We can use a standard normal distribution table or a calculator to find the area under the curve between -0.3 and 0.3.
Using a calculator or an online tool, we find that the area under the curve between -0.3 and 0.3 is approximately 0.2358.
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Grant is painting a rectangular board that has a width of 1/3 foot. He has enough paint to cover 3 square feet. If he is able to cover the while board by using all of his paint, what is the length of the board in feet.
Answer:
Length of the rectangular board=9 foot
Step-by-step explanation:
Width of the rectangular board=1/3 foot
Length of the rectangular board=x
Area of the rectangular board=3 square feet
Area of a rectangular board =Length × Width
3=x * 1/3
3=1/3x
Divide both sides by 1/3
3÷1/3=x
3*3/1 = x
9=x
x=9 feet
Therefore,
Length of the rectangular board= x = 9 foot
Plss help !!!!!!!!!!!!!!!!
Answer: C (324)
Step-by-step explanation:
He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.
Answer:
C. 324 thats the answer my cousin solved this
Which two ratios represent quantities that are proportional?
A. 15/24 and 8/12
B. 7/11 and 28/48
C. 14/37 and 37/14
D. 10/15 and 14/21
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Both equal 2/3
a random sample of packages delivered by a company were tracked if they were delayed or on time and whether they were sent in-state or out-of-state. the relative frequency table displays the data gathered. in-state out-of-state total delayed 4% 36% 40% on time 39% 21% 60% total 43% 57% 100% based on the given information, what is the likelihood of a package being sent out-of-state, given that it was on time? 53% 37% 35% 21%
Answer:36
Step-by-step explanation:
ompare segments 1 and 2. What do they represent? What does segment 8 represent in terms of the game? That is the significance of segments 5 and 7? What does segment 6 mean?
1. They represent people entering the arena
2. They represent people leaving the arena
3. No one is entering or leaving the game
4. Few people left before the end of the game.
Help me?!?! Please, At a park on Wednesday morning, 544 children played
games. That afternoon 214 more children played games.
How many children played games on Wednesday?
748 children
768 children
330 children
758 children
Answer:
785
Step-by-step explanation:
You see:
544
+ 214
758
PLEASE HELP ASAP
Factor 3x+6y-9z
In ΔABC, if C is a right angle, what is the measure of x?
Answer:
x ≈ 72.3°
Step-by-step explanation:
using the cosine ratio in the right triangle
cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{7}{23}\) , then
x = \(cos^{-1}\) ( \(\frac{7}{23}\) ) ≈ 72.3° ( to the nearest tenth )
Solve for the missing side.
4)
12 mi
X
15 mi
in a bag, there are 4 red shapes, 5 blue shapes, and 3 yellow shapes. there is one triangle, one square, and one circle in each group. there is 1 red and blue rectangle, and 1 blue hexagon. what is the probability of selecting a shape that is blue or a triangle?
The point (6, n) lies on the circle whose equation is (x − 1)2 + (y − 5)2 = 50. Find the values of n
Answer:
n = 0 or 10
Step-by-step explanation:
From the question,
Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1
Coordinate of the circle = (6,n)
From the question
x = 6, y = n
Substitute the value of x and y into equation 1
(6-1)²+(n-5)² = 50
5²+(n-5)² = 50
25+(n-5)² = 50
(n-5)² = 50-25
(n-5)² = 25.
Solving for n
n-5 = √(25
n-5 = ±5
Either,
n-5 = -5
n = -5+5
n = 0
or
n-5 = +5
n = 5+5
n = 10
Answer:
n = 3.16
Step-by-step explanation:
Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.
Substitute x = 6 and y = n into the equation
(6 - 1)² + (n - 5)² = 50, that is, expanding using FOIL
5² + n² - 10n + 25= 50 by simplifying
25 + n² - 10n = 50 ( subtracting 50 from both sides and rearrange )
n² - 10n = 0 ← in standard form
n²=10
n = √10
The values of n is 3.16
the braille system of representing characters was developed early in the nineteenth century by louis braille. the charac- ters, used by the blind, consist of raised dots. the positions for the dots are selected from two vertical columns of three dots each. at least one raised dot must be present. how many distinct braille characters are possible?
The Braille system uses two vertical columns of three dots each to represent characters. There are 8 possible combinations for each column, giving a total of 64 distinct Braille characters.
The Braille system of representing characters was developed by Louis Braille in the early nineteenth century. This system is used by blind people and consists of raised dots that represent characters. The positions for the dots are selected from two vertical columns of three dots each. At least one raised dot must be present to represent a character.
To determine the number of distinct Braille characters possible, we need to consider the number of ways we can arrange the dots in the two vertical columns. Each column has three dots, and we need to choose which of these three dots to raise to represent a character. This gives us a total of 2^3 = 8 possible combinations for each column.
Since we have two columns, we can multiply the number of possible combinations for each column to get the total number of distinct Braille characters. This gives us 8 x 8 = 64 possible characters.
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Statistics question
Walmart claims that their checkout scanners correctly price 98.9% of the items sold. How many items would you expect to buy, on average, to find one that scans incorrectly? Round your answer up to the next integer
a) 2
b) 91
c) 99
d) 500
e) 989
Answer:
(b) 91
Step-by-step explanation:
The probability of an item scanning correctly is 98.9%, so the probability of an item scanning incorrectly is 1 - 98.9% = 1.1%.
The expected number of items to buy to find one that scans incorrectly is 1 / 1.1% = 91. This means that you would expect to buy 91 items on average to find one that scans incorrectly.
Rounding up to the next integer, the answer is 92. Therefore, the correct answer is (b) 91.
HELP PLSASE: Find the solution of the system of equations.
2
x
+
4
y
=
2x+4y=
−
16
−16
−
2
x
+
2
y
=
−2x+2y=
−
2
−2
Answer:
Step-by-step explanation:
x
=
−
24
y
=
10
Explanation:
x
+
4
y
=
16
2
x
−
4
y
=
8
Subtract the bottom equation from the top one so the
+
4
y
and
−
4
y
cancel each other out.
−
x
=
24
x
=
−
24
x
+
4
y
=
16
−
24
+
4
y
=
16
4
y
=
40
y
=
10
Can sum1 pls help me asap
The correct answer is reflection. Option B.
Metamorphosis is a dramatic change in shape or appearance. Big events like getting a driver's license, going to college, or getting married can change your life. He has three basic fixed transformations of reflection rotation and translation. There is a fourth common transformation called expansion.
Simple Transformations is the SAP programming language for describing transformations between ABAP data and XML formats. ST is limited to ABAP data serialization and deserialization, the two most important modes of data integration. Transformation means change. A geometric transformation, therefore, means making some changes to a particular geometric shape. Transformation is a specific process by which exogenous genetic material is taken up and integrated directly into cells through the cell membrane.
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A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 12% are pennies and 32% are dimes. There are 2 more nickels than pennies. How much money does the bag contain?
If there are 50 coins in all. Of the coins, 12% are pennies and 32% are dimes there are 2 more nickels than pennies then the bag contains $5.55 in total.
Let P be the number of pennies in the bag.
Let N be the number of nickels in the bag.
Let D be the number of dimes in the bag.
Let Q be the number of quarters in the bag.
From the problem, we know that:
P + N + D + Q = 50 (because there are 50 coins in total)
P = 0.12(50) = 6 (because 12% of the coins are pennies)
D = 0.32(50) = 16 (because 32% of the coins are dimes)
N = P + 2 (because there are 2 more nickels than pennies)
Substituting the values we know into the equation for the total number of coins, we get:
6 + (P + 2) + 16 + Q = 50
Simplifying this equation, we get:
P + Q = 26
Substituting the value we know for pennies P, we get:
6 + Q = 26
Q = 20
P = 6
Substituting the values we know for P and Q into the equation for the total value of the coins in the bag, we get:
0.01(6) + 0.05(P + 2) + 0.1(16) + 0.25(20) = $5.55
Therefore, the bag contains $5.55 in total.
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Create a binomial probability experiment with the data from the public opinion poll experiment. Use the probability of success and failure from the experiment. Calculate the probability of the number of successes in 100 random tests. For example, if the probability of success is 0.20 and the number of trials is 100, then the number of successes is 20.
Please give and answer my grade has never depended on something more. thank you.
Binomial probability distribution for the given set of data is
\(100C_x (0.20)^x (0.80)^{100-x}\)
What is binomial probability distribution?
"Binomial probability distribution is the representation of a probability with only two outcomes success and failure under given number of trials."
Binomial probability distribution is given by
\(nC_x p^x q^{n-x}\)
n= number of experiments
x = 0, 1, 2, 3,.......
p = probability of success
q = probability of failure
According to the given question
Number of trials 'n' = 100
Probability of success 'p' = (20 / 100)
= 0.20
Probability of failure 'q' = 1 - p
= 1 - (20/100)
= (80 / 100)
Substitute the value in the formula we get
Required probability = \(100C_x (0.20)^x (0.80)^{100-x}\)
Example:
Tossing a coin 6 times getting exactly two heads.
Number of trials 'n' = 6
Number of heads 'x' =2
Only two possible outcomes head or tail
Probability of getting head 'p' = 1 / 2
Probability of not getting head 'q' = 1 /2
Required probability = \(6C_2\) (1/2)²(1/2) ⁶⁻²
= \(6C_2\\\) (1/2)⁶
Hence, binomial probability distribution for the given set of data is
\(100C_x (0.20)^x (0.80)^{100-x}\)
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a binomial experiment with probability of success and trials is conducted. what is the probability that the experiment results in or fewer successes?
In a binomial experiment with probability of success and trials is conducted, the probability of one trial is independent of another.
How to find the number of success in a binomial distribution?
The likelihood of success is constant from trial to trial, and subsequent trials are independent. A binomial expression, which derives from counting successes across a series of trials, has just two possible outcomes on each trial.
One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the chance of success, indicated by the symbol p, stays constant. There are n independent trials. In other words, the probability of one trial do not influence those of the others.
Therefore, in a binomial experiment with probability of success and trials is conducted, the probability of onetrial is independent of another.
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The soccer field at a park is 9,000 square yards. The soccer field takes up 6 square
inches on the map of the park. How many square yards does 1 square inch on the
map represent? Show your work.
Given parameters:
Real area = 9000sq yards
Map area = 6sq yards
Unknown:
Scale of the map = ?
Solution:
A scale is the ratio of the map unit to the real world expression. Maps use scales to present the real world in a smaller sample space:
For this problem;
6sq yards on map = 9000sq yards on ground
1sq yards on map = xsq yards on ground
6x = 9000
x = \(\frac{9000}{6}\) = 1500sq yards
So,
1sq yards on map is 1500sq yards on ground
Number between 45 and 95 that is a multiple of 3 8 and 12
Start with n, subtract 2, then
times by 8
Answer:
n - 2 \div 8 = 0
n - 2 = 8
n = 10
Step-by-step explanation:
two cars start from the same point p and travel along seperate straight highways. if these 2 highways originate at p forming an angle of 80 degrees, how many miles apart are the two cars after each has traveled 110 miles?
Answer:
141 miles
Step-by-step explanation:
We can visualize this as a triangle with two sides of 110 miles and an included angle of 80°.
Using the Law of Cosines, the third side is
\(\sqrt{110^2+110^2-(2)(110)(110)(\cos 80^{\circ})} \approx 141\)