translate triangle a (-3,1)
what do i write
=======================================================
Explanation:
Refer to the diagram below.
Let point A be located at (1,-1) which is the very top of the black triangle.
Shift three units to the left, and one unit up, and you should arrive at (-2,0)
Then rotate 180 degrees to land on (2,0) which I'll mark as point B.
In short, the point A(1,-1) moves to B(2,0)
-------------
Through similar moves, the point C(1,-4) moves to D(2,3)
Next, find the equation of the line through points A and B. You should find that line AB has the equation y = x-1. Let me know if you need to see the steps on how to find the equation.
The equation for line CD is y = 7x-11
Upon solving this system of equations
\(\begin{cases}y = x-1\\y = 7x-11\end{cases}\)
you should find that x = 1.5 and y = -0.5
So that's how I got point E to be located at (1.5, -0.5)
Point E is the center of rotation when we combine the translation along with the original rotation.
In other words, to go from A to B as fast as possible, we rotate 180 degrees about point E. The same can be said when going from C to D.
So overall, rotating the original triangle A 180 degrees about (1.5, -0.5) will have it land on triangle C.
in a fox news poll conducted in october 2011, 904 registered voters nationwide answered the following question: "do you think illegal immigrants who have lived in the united states since they were children should be eligible for legal citizenship, or not?" 63% answered "should be" eligible for legal citizenship with a margin of error of 3% at a 95% level of confidence.
The confidence interval for the proportion of registered voters who believe illegal immigrants who have lived in the United States since they were children should be eligible for legal citizenship is 0.5998 to 0.6602.
To analyze the results of the poll, we can use the given information to calculate the confidence interval.
Given:
- Sample size (n): 904 registered voters
- Proportion who answered "should be" eligible for legal citizenship (p): 63%
- Margin of error (E): 3%
- Confidence level: 95%
To calculate the confidence interval, we can use the formula:
Confidence Interval = p ± (Z * √((p * (1 - p)) / n))
First, let's find the critical value (Z) corresponding to a 95% confidence level. Since the confidence level is 95%, the alpha level (α) is 1 - 0.95 = 0.05. Dividing this by 2 (for a two-tailed test), we have α/2 = 0.025. Looking up this value in the Z-table, we find that the critical value Z is approximately 1.96.
Next, we can substitute the values into the formula and calculate the confidence interval:
Confidence Interval = 0.63 ± (1.96 * √((0.63 * (1 - 0.63)) / 904))
Confidence Interval = 0.63 ± (1.96 * √((0.63 * 0.37) / 904))
Confidence Interval = 0.63 ± (1.96 * √(0.23211 / 904))
Confidence Interval = 0.63 ± (1.96 * 0.0154)
Confidence Interval = 0.63 ± 0.0302
Therefore, the confidence interval for the proportion of registered voters who believe illegal immigrants who have lived in the United States since they were children should be eligible for legal citizenship is approximately 0.5998 to 0.6602.
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what number is the same as -1882384?
Answer:
-1,882384 x 10^6 or -1372^2
Step-by-step explanation:
Both forms equal -1882384.
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two equal
segments. The length of the altitude is 11 inches, and the length of the base is 6
inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
The Robinson family is looking to rent a large truck for their upcoming move. With Barbara's Moving, they would pay $50 for the first day plus $2 per additional day. With Lowell Rent-a-Truck, in comparison, the family would pay $20 for the first day plus $8 per additional day. Before deciding on which company to use, Mrs. Robinson wants to find out what number of additional days would make the two choices equivalent with regards to cost. How many additional days would that be?
Answer:
5 days
Step-by-step explanation:
20 + 8(5) = 60
50 + 2(5) = 60
The graph shows the number of paintballs a machine launches, y, in x seconds: A graph titled Rate of Launch is shown. The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line. The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line. A line is shown connecting points on ordered pair 2, 12 and 4, 24 and 6, 36 and 8, 48. Which expression can be used to calculate the rate per second at which the machine launches the balls? (5 points) fraction 12 over 2 fraction 2 over 12 fraction 48 over 2 fraction 2 over 48
Fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line.
The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line
A line is shown connecting points on ordered pair (2, 12) and (4, 24) and (6, 36) and (8, 48)
m=24-12/4-2
m=12/2
Hence, fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls
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Solve this equation, 2.5y = 13.75 Explain pleaseeeee
I'll give 25 points i'm desperate...
Answer:
5.5
Step-by-step explanation:
13.75 divided by 2.5 = 5.5
A single number that estimates the value of an unknown parameter is called a _______ estimate.
Answer:
A single number that estimates the value of an unknown parameter is called a point estimate.
Step-by-step explanation:
Don't see the point (haha) of elaborating
Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied.
Surveying 20 college students and recording their favorite TV showSurveying 20 college students and recording their favorite TV show.
Choose the correct answer below.
A. No, because there are more than two possible outcomes and the trials are not independent.
B. Yes comma because all 4 requirements are satisfied.Yes, because all 4 requirements are satisfied.
C. No comma because there are more than two possible outcomes.No because there are more than two possible outcomes.
D. No, because the probability of success does not remain the same in all trials.
The given procedure does not result in a binomial distribution because it does not satisfy the criteria of having only two possible outcomes and independent trials.
No, this procedure does not result in a binomial distribution. In order for a distribution to be binomial, it must meet four criteria: (1) there must be a fixed number of trials; (2) the trials must be independent; (3) there must be only two possible outcomes (i.e., success or failure); and (4) the probability of success must remain the same in all trials.
In the given procedure, there are more than two possible outcomes (i.e., the different TV shows that the college students can choose) and the trials are not independent. Therefore, the procedure does not satisfy two of the four criteria necessary for a binomial distribution.
A binomial distribution can be described by the formula:
\(P(x) = nCx * p^x * (1 - p)^(n - x)\)
where n is the number of trials, x is the number of successes, and p is the probability of success. Since the given procedure does not meet the criteria for a binomial distribution, this formula does not apply.
The given procedure does not result in a binomial distribution because it does not satisfy the criteria of having only two possible outcomes and independent trials.
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How to name a angle in 4 different ways?
First answer and correct answer gets to be brainliest!
Hey there!
4 ways to name angles⇒ Use the vertex as the middle letter, and the point from each side (<ABC or <CBA)
⇒ Use the vertex only (<B)
⇒ Use a number (<1)
Classify angles according to their measure.⇒ Acute angle: less than 90°
⇒ Right angle: exactly 90°
⇒ Obtuse angle: between 90° and 180°
⇒ Straight angle: exactly 180°
Thank you,
Eddie
See the attachment for a visual!
dilate figure ABCD by a cale factor of 3 with the center of dilation at the origin
the slope of A'B' is= 1.2 ,The length of A'C' in triangle is = 3q unit.
When we dilate a triangle and the center of the dilation is at the center of the triangle, the only thing that changes are the coordinates of the summits of the triangle.
The angles remain the same, so do the slope.
So, since the slope of AB is equal to -1.2, the slope of A'B' will also be -1.2.
They say the dilation factor was 3, that means the length of every side was multiplied by 3. So, if the length of AC is q units, the length of A'C' is 3q units.
The complete question is-
ΔABC is dilated by a scale factor of 3 with the origin as the center of dilation to form ΔA′B′C′. The slope of AB is -1.2. The length of AB is p units, the length of AC is q units, and the length of BC is r units.
The slope of AB is (?). The length of is (?) units.
the slope of AB is?
A. 1.2 B. -1.2 C. -3.6
The length of AC is ?
A. 1/3q
B. 3q
C.-1.2p
D. (p+q+r)
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The dotplot shows the distribution of passing rates for the bar
ex4m at 185 law schools in the United States in a certain year. The
five number summary is
27,
77.5,
86,
91.5,
100.
Draw the
Homework: Section 3.5 Homework Question 10, 3.5.72 Part 2 of 2 HW Score: 72.62%, 8.71 of 12 points O Points: 0 of 1 Save The dotplot shows the distribution of passing rates for the bar exam at 185 law
The dot plot of the distribution of passing rates for the bar exam at 185 law schools in the US for a certain year with five number summary as 27, 77.5, 86, 91.5, 100 would look like the following:
The minimum value of the passing rates is 27, the lower quartile is 77.5, the median is 86, the upper quartile is 91.5, and the maximum value is 100. The distance between the minimum value and lower quartile is called the interquartile range (IQR).
It is calculated as follows:
IQR = Upper quartile - Lower quartile= 91.5 - 77.5= 14
The range is the difference between the maximum and minimum values. Therefore, Range = Maximum - Minimum= 100 - 27= 73
Hence, the dot plot of the given distribution would look like the above plot.
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PLEASE ANSWER TODAY ASAP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
Kelli and Karl each have a job. Kelli earns $20 an hour. She also receives a $100 weekly bonus.
Kelli made a table to show how much she earns in a given week.
Hours 0 5 10 15 20 25 30 35 40
Weekly Earnings 100 200 300 400 500 600 700 800 900
Karl earns $25 an hour and receives a $50 weekly bonus.
Karl made a graph to show how much he earns per hour in a given week.
How many hours will it take Kelli and Karl to earn the same amount of money?
Enter your answer in the box.
____hours
Answer:
I'm think it is 40hours (or 1 1/2 days)
A cereal box has a length of 4 inches, a width of 5 inches,
and a height of 8 inches. What is the volume of the box?
Justify your answer
Answer:
160
Step-by-step explanation:
base x width x height = volume
4x5x8=160 in^3
That's all there is to volume of a box
Hope that helps :)
Answer:
160 yet it's supposa be in Cuboid e.g. 160cm3
Step-by-step explanation:
Volume=L×H×W
= 4×5×8
=160
a local restaurant sends a 20% off coupon to its email subscribers. based on past data, what is the typical amount that customers with certain incomes spend when they use the coupon?
The following is a supervised model.
Here we have to find that the following information given is of the supervised or unsupervised model.
Supervised model:
In the supervised model, we create a function (or model) by using labeled training data that consists of input data and a wanted output. The supervision comes in the form of the wanted output, which in turn lets you adjust the function based on the actual output it produces.
Here we are provided that a local restaurant sends a 20% off coupon to its email subscribers and it is asked to find the typical amount that customers with certain incomes sped when they use the coupon.
Therefore the input data and a wanted output is given so the following is a supervised model.
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The complete question:
Determine if the following is a supervised or unsupervised mode. A local restaurant sends a 20% off coupon to its email subscribers. based on past data, what is the typical amount that customers with certain incomes spend when they use the coupon?
(2.3) What are the steps of transformation that you need to apply to the graph f to obtain the graph h(x) 5-2|x31?
To obtain the graph of h(x) = 5 - 2| x - 3 | from the graph of f(x), the following transformations need to be applied:
Horizontal shift to the right by 3 unitsReflect across the y-axisVertical stretch by a factor of 2Vertical shift up by 5 unitsThe graph of f(x) is the parent function, y = |x|, which is a V-shaped graph with its vertex at the origin. To obtain the graph of h(x), we need to apply a series of transformations.
The first transformation is a horizontal shift to the right by 3 units. This is done by subtracting 3 from the x-coordinate of every point on the graph. This moves the vertex of the graph from the origin to the point (3, 0).
The second transformation is a reflection across the y-axis. This is done by changing the sign of the x-coordinate of every point on the graph. This flips the graph over the y-axis.
The third transformation is a vertical stretch by a factor of 2. This is done by multiplying the y-coordinate of every point on the graph by 2. This makes the V-shape of the graph narrower and taller.
The fourth and final transformation is a vertical shift up by 5 units. This is done by adding 5 to the y-coordinate of every point on the graph. This moves the entire graph up by 5 units.
After applying all four transformations, we obtain the graph of h(x) = 5 - 2| x - 3 |, which is a V-shaped graph with its vertex at the point (3, 5). The graph is narrower and taller than the parent function, and is reflected across the y-axis.
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what is 30% of 24 If you answer this first you get 10 points
Answer:
7.2
Hope it was helpful.
Answer:
7.2!! :)
Step-by-step explanation:
The volume of a cylinder is 1225x cm³. The height of the cylinder is 25 cm. What is the radius of the cylinder?
The radius of the cylinder is cm. (Simplify your answer.)
The radius of the cylinder is 3. 95 cm
How to determine the valueThe formula for calculating the volume of a cylinder is expressed with the equation;
V = πr²h
Such that the parameters are;
V is the volume.r is the radius.h is the height of the cylinder.From the information given, we have;
Substitute the values
1225 = 3.14× r² × 25
Multiply the values, we get;
1225 = 78.5r²
Divide by the coefficient
r² = 15. 60
Find the square root of both sides
r = 3. 95 cm
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what is the cpk for a process with specification limits of 48 and 30 and a process mean of 42 and sigma of 4?
1.00
6.00
0.5
1.5
The cpk for this process is 0.5.
To calculate the cpk for this process, we first need to calculate the process capability index (cp) using the formula:
cp = (USL - LSL) / (6 × sigma)
where USL is the upper specification limit (48), LSL is the lower specification limit (30), and sigma is the process standard deviation (4).
cp = (48 - 30) / (6 × 4)
cp = 18 / 24
cp = 0.75
Next, we can calculate the cpk using the formula:
cpk = min[(USL - mean) / (3 × sigma), (mean - LSL) / (3 × sigma)]
cpk = min[(48 - 42) / (3 × 4), (42 - 30) / (3 × 4)]
cpk = min[6 / 12, 12 / 12]
cpk = min[0.5, 1]
cpk = 0.5
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This is a 2 part question. Using the following information South Rim Location: 36.0421∘−111.8261∘ Horizontal distance between: 4500 m Colorado River Location: 36.0945∘−111.8489∘ Horizontal distance between: 7000 m North Rim Location: 36.1438∘−111.9138∘ Part 1. Calculate the rate of incision (using the time of 3.6 million years that it took the river to reach its current position)) from both the South Rim to the Colorado River and the North Rim to the Colorado River. Part 2. Calculate the rate of widening from the river to the South Rim (using the time of 4.8 million years when the Colorado River started to flow in this area) and also the rate of widening from the river to the North Rim. South Rim incision about 400 m/Ma; North Rim incision about 460 m/Ma; South Rim widening about 830 m/Ma; North Rim widening about 1460 m/Ma South Rim incision about 800 m/Ma; North Rim incision about 400 m/Ma; South Rim widening about 800 m/Ma; North Rim widening about 1500 m/Ma South Rim incision about 400 m/Ma; North Rim incision about 800 m/Ma; South Rim widening about 800 m/Ma; North Rim widening about 1150 m/Ma None of the answers listed are even close. Thus, this is the best answer.
Part 1: South Rim incision: 400 m/Ma, North Rim incision: 460 m/Ma.
Part 2: South Rim widening: 800 m/Ma, North Rim widening: 1500 m/Ma.
Part 1: The rate of incision is the change in elevation over time. From the given information, the South Rim incises at a rate of 400 m/Ma (meters per million years), while the North Rim incises at a rate of 460 m/Ma.
Part 2: The rate of widening is the change in horizontal distance over time. Using the provided data, the rate of widening from the river to the South Rim is approximately 800 m/Ma, and from the river to the North Rim, it is about 1500 m/Ma.
These rates indicate the average amount of vertical erosion and horizontal widening that occurs over a million-year period. The South Rim experiences slower incision but significant widening, while the North Rim incises more rapidly and widens at a lesser rate. These geological processes contribute to the unique topography and formation of the area over millions of years.
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The piston stroke depend on * offset
crank angle
B crank radius the crank angle value when the piston at TDC is...... 120 30 0*2pi B the maximum ratio of crank radius to connected length is *
4
0.25-0.3 0.25 0.3
The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.
The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.
Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.
It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.
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What is the zero vector of a null space?
The zero vector of a null space is the vector that satisfies the equation Ax = 0, where A is a matrix and x is a vector.
What is a null space ?In linear algebra, the null space (also called kernel) of a matrix A is the set of all vectors x such that Ax = 0. In other words, it is the set of all solutions to the homogeneous equation Ax = 0.
The zero vector of a null space is the vector that when multiplied by the matrix A results in the zero vector, which means that it is a solution to the homogeneous equation Ax = 0.
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A big ship drops its anchor. The variable l models the anchor's elevation (in meters) relative to the water's surface t seconds after the ship drops its anchor. L=−2. 4t+75
What is the initial height of the anchor?
If the variable "L" models the anchor's elevation relative to water's surface , then the initial height of the anchor is 75 meters .
To find the initial height of the anchor, we need to determine the value of L when t = 0 which means, the moment the anchor is dropped .
The equation for the height of the ship's anchor is written as : L = -2.4t + 75 , where t is the time .
When t = 0, the equation for Anchor's Elevation becomes:
⇒ L = -2.4(0) + 75
Simplifying, we get:
⇒ L = 75
Therefore, the initial height of the anchor is 75 meters above the water's surface.
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Solve For:
MULTIPLYING DECIMALS
Answer: 2.5
Step-by-step explanation: 0.83333... x 3 = 2.5
Answer:
2.5
Step-by-step explanation:
(5÷6)×3=2.5
or
3/1 x 5/6 = 2 1/2 (2.5)
Jude arrived at work 7:55 am and left at 4:15pm . For how long was he at work
Answer:
500 minutes= 8.33 hr
Step-by-step explanation:
The number of hours that he works will be 8 hours and 20 minutes.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Jude arrived at work at 7:55 am and left at 4:15 pm.
Convert the time into 24 hours system. Then we have
4:15 pm = 16: 15
7:55 am = 7: 55
Then the number of hours is given as,
16: 15
- 7: 55
8: 20
Then the number of hours that he works will be 8 hours and 20 minutes.
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What is the range of this function?OA. (3, 5, 7, 11)OB. (-3, 4, 5, 7)OC. (-3, 0, 3, 4, 5, 6, 7,)OD. (-3, 0, 4, 6)
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Define the range of a function
The range of a function is the set of its possible output values. The range of a function refers to the entire set of all possible output values of the dependent variable
STEP 2: Get the range of the function
The range of the function will be:
\(\lbrace-3,0,4,6\rbrace\)
A company rents water tanks shaped like cylinders. Each tank has a radius of 6 feet and a height of 2 feet. The cost is $30 per cubic foot. How much does it cost to rent one water tank
Step-by-step explanation:
Volume of tank = (pi)×(radius squared)×(height)
= 3.14×(6×6)×2
= 3.14×36×2
= 226.08 cu.ft
Each cu.ft is rented for $30
So, for 226.08 cu.ft is,
=226.08×$30
=$6782.3
8.6 ÷ (−2.5)
Find the quotient. Write your answer as a decimal.
Answer: =−3.44
Step-by-step explanation: Hope this help :D
a bag contains a collection of distinguishable marbles. the bag has 5 red marbles, 3 green ones, and 6 blue ones. shelby grabs a handful at random of 6 marbles. what is the probability that exactly three of the marbles are red?
The probability that exactly three of the marbles Shelby grabs are red is approximately 27.97%.
To find the probability that exactly three of the marbles Shelby grabs are red, we can use the formula for combinations and probability. The probability can be calculated as follows:
Probability = (Number of favorable outcomes) / (Total possible outcomes)
First, we'll find the total possible outcomes by using the combination formula, which is C(n, k) = n! / (k! (n-k)!) where n is the total number of marbles, and k is the number of marbles being grabbed.
Total marbles = 5 red + 3 green + 6 blue = 14 marbles
Total possible outcomes = C(14, 6) = 14! / (6! * (14-6)!) = 3003
Next, we'll find the number of favorable outcomes. To get exactly three red marbles, Shelby must grab 3 red marbles, 2 non-red marbles (green or blue), and 1 more non-red marble (green or blue). We'll find the combinations for each case and multiply them together.
Favorable outcomes = (C(5, 3) * C(9, 3)) = (5! / (3! * (5-3)!)) * (9! / (3! * (9-3)!)) = 10 * 84 = 840
Finally, we'll calculate the probability:
Probability = Favorable outcomes / Total possible outcomes = 840 / 3003 ≈ 0.2797 or 27.97%
So, the probability that exactly three of the marbles Shelby grabs are red is approximately 27.97%.
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The ordered pairs (6,8), (9, 12), (x, 20), (18, y) represent a proportional relationship. Find the value of X and the value of Y. Select the two correct answers.
Answer:
x=15 y=24
Step-by-step explanation:
This is because the rule is x goes up 3 y goes up 4
(9,12)->(x,20)
it skips one, so instead of adding 3 we add six
x=15
(15,20)->(18,y)
you follow the rule and 4.
Y=24