What are the coordinates of B(-4, -5) under a 180 degree rotation about the origin?
Answers
Answer:
(4, 5 )
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y ), thus
B(- 4, - 5 ) → (4, 5 )
Related Questions
Suppose U = {2,3,6,9,10,13,14,17,19) is the universal set and A = {2,9,10). What is A'?
Answers
The complement of set A is { 3, 6, 13, 14, 17, 19}
What is the complement of a given set?The complement of a set is the set that includes all the elements of the universal set that are not present in the given set. Let's say A is a set of all coins which is a subset of a universal set that contains all coins and notes, so the complement of set A is a set of notes (which do not includes coins).
U = {2,3,6,9,10,13,14,17,19}, A = {2,9,10}
set A complement are all the elements in the Universal set U not contained in set A. Those elements are in set A' = { 3, 6, 13, 14, 17, 19}
In conclusion the complement of set A is { 3, 6, 13, 14, 17, 19}
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Let Y be a random variable such that P(Y = −2) = 1/4, P(Y = 0) = 1/2, and P(Y = 1) = 1/4.
a) Find the mgf of Y .
b) Use the mgf to find E(Y ) and V (Y )
Answers
a) The moment-generating function of Y is M(t) = (1/4)e^(−2t) + 1/2 + (1/4)e^(t).
b) The expected value of Y is E(Y) = −1/4, and the variance of Y is V(Y) = 11/16.
a) The moment-generating function (MGF) of a random variable Y is defined as M(t) = E(e^(tY)), where E denotes the expected value. Using the given probabilities, we can compute the MGF of Y as follows
M(t) = E(e^(tY)) = (1/4)e^(−2t) + (1/2)e^(0t) + (1/4)e^(1t)
= (1/4)e^(−2t) + 1/2 + (1/4)e^(t)
b) To find the expected value of Y, we can take the first derivative of the MGF with respect to t and evaluate it at t = 0
E(Y) = M'(0) = d/dt [(1/4)e^(−2t) + 1/2 + (1/4)e^(t)]|t=0
= (−1/2)e^(−2t)|t=0 + 0 + (1/4)e^(t)|t=0
= −1/2 + 1/4
= −1/4
Therefore, the expected value of Y is −1/4.
To find the variance of Y, we need to compute E(Y^2), which can be found by taking the second derivative of the MGF with respect to t and evaluating it at t = 0
E(Y^2) = M''(0) = d^2/dt^2 [(1/4)e^(−2t) + 1/2 + (1/4)e^(t)]|t=0
= (1/2)e^(−2t)|t=0 + 0 + (1/4)e^(t)|t=0
= 1/2 + 1/4
= 3/4
Therefore, the variance of Y is
V(Y) = E(Y²) − [E(Y)]² = 3/4 − [−1/4]² = 3/4 − 1/16 = 11/16
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HURRY UP NEED HELP
7. Find the equation of a line that fits the data shown in the graph below.
Answers
Answer:
y=-x+3/2, I hope that I hoped, and by the way, it is NEGATIVE x. It's a little hard to see :P
Answer:
y=2x + (-1)
Slope is m=2 and the y-intercept is b= -1
. The new saleswoman at Clocks Unlimited was very good. During her first day on the job she sold at least two of each of the three models that other salespeople found the most difficult to sell: the kitchen clock that sells for $17, the cuckoo clock that sells for $3 1, and the two-foot high grandfather clock that sells for $61. In all, she collected $300 from selling these models alone. How many $17 clocks did she sell? Justify your answer
Answers
Answer:
5
Step-by-step explanation:
Let the number of the kitchen clock sold =a
Let the number of the cuckoo clock sold =b
Let the number of the two-foot high grandfather clocks sold =c
The new saleswoman sold at least two of each of the three models.
Therefore:
\(a\geq 2\\b \geq 2\\c \geq 2\)
In all, she collected $300 from selling these models alone
17a+31b+61c=300
17(2)+31(2)+61(2)=218
300-218=82
Next, we try to express the remainder (82) in terms of 17, 31 and 61
82=17(3)+31
Therefore, she sold:
5 kitchen clocks3 cuckoo clocks 2 two-foot high grandfather clocksShe sold 5 $17 clocks.
CHECK:
17(5)+31(3)+2(61)=$300
Joe paid $51.25 for 5 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?
Answers
Answer:I don’t know
Step-by-step explanation:
Answer:
$10.25
cents 1025 not sure of it
Step-by-step explanation:
two players, a and b, alternatively toss a fair coin (a tosses the coin first, then b tosses the coin, then a , then b .. .). the sequence o f heads and tails is recorded. i f there is a head followed by a tail (ht subsequence), the game ends and the person who tosses the tail wins. what is the probability that a wins the game?
Answers
When two players A and B alternately flip a fair coin, the probability E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.
Two players, A and B, turn a fair coin in succession (A tosses the coin first, then B tosses the coin, then A, then B and so on). The order of the heads and tails is noted. If there is a head followed by a tail, the game is done, and the person who throws the tail wins (HT sub-sequence).
We must ascertain the game's estimated duration. Allow T coin tosses for the game to proceed. Find E (T).
\(E(T) = first instance of HT in seriesE(T) =0.5×(1+2)+0.5×(1+E(T))\\0.5×E(T)=0.5×4\\E(T) =4\)
As a result, when two players A and B alternately flip a fair coin, The E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).
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Please all the steps, one by one! How can this be solved?
Answers
There are 5 full square and 6 triangles that are half squares.
5 + (6)(1/2) = 5 + 3 = 8
You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area. But counting works well in this example.
Answer: 8
Step-by-step explanation:
First you split up this shape into two different shapes, a triangle and trapezoid
Put a line through the coordinates (-2,2) to (-1,2); the top is a triangle and the other is a trapezoid
Area of the trapezoid is A = .5x (base1 + base2) x height
base1 of the trapezoid goes from -4 to -1 which is 3
base2 goes from -2 to -1 which is 1
height is 0 to 2 whcich is 2
A = .5 x (3+1) x 2 = 4
Now area of a triangle is A = .5 x base x height
the base goes from -2 to 2 which is 4
the height goes from 2 to 4 which is 2
A = .5 x (4) x (2) = 4
Area of the Trapezoid + Area of the Triangle = Total Area
4 + 4 = 8
Phoebe is responsible for buying a
week's supply of food and medication for
the dogs and cats at a local shelter. The
food and medication for each dog costs
twice as much as those supplies for a cat.
He needs to feed 54 cats and 33 dogs. Her budget is $2400. How much can Phoebe
spend on each cat for food and
medication?
Answers
D (dog costs): 2C
C: cat costs
Set up an equation:54C+33(2c)=2400. It’s not 54C+33D, because with two variables you can’t really find the value of one. So I substituted 2C for D, because dog costs are twice the cost of cat costs. You get C=20.
Hey scale drawing of an nfl goal post uses a scale of 2 inches equal 5 feet if the actual width of the goalposts is 18 1/2 feet what is the width of the goal post on the drawing
Answers
A scale drawing of an NFL goal post uses a scale of 2 inches equal 5 feet if the actual width of the goal posts is 18 1/2 feet what is the width of the goal post on the drawing.
If 3 inches on the scale drawing represents 5 feet in actuality, determine the actual area of a kitchen if the area of the scale drawing is 45 inches 3 inches to 5 feet is 1:20
From the question asked you cannot determine the area. (No width given) You state the measurement is 45 inches (not square inches) 45 inches at 20:1 = 900 inches or 75 feet (linear)
Hence the answer is 75 ft.
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Answer:
75 ft
Step-by-step explanation:
Tori has a wooden block shaped like a rectangular prism the area of the base of the block is 96 square centimeters the volume of the the is 1,440 cubic centimeters what is the height in centimeters of tori wooden block
Answers
Answer:
Step-by-step explanation:
The volume of a rectangular prism=area of the base x height,
now you have the volume of the rectangular prism=1440 cm^3,and area of the base=96 cm^2,
height=1440/96= 15cm
Benjamin bought two pounds of strawberries for 12.80. What is the price, in dollars per ounce of strawberries?
Answers
Answer: 6.4
Step-by-step explanation:
divide in half
Find the surface area of a square pyramid with a side length of 6 cm and a slant height of 7 cm.
Answers
The surface area of the square pyramid with a side length of 6 cm and a slant height of 7 cm is 120 square cm.
To find the surface area of a square pyramid, we need to add up the areas of all its faces. A square pyramid has a square base and four triangular faces. We can use the side length of the square base and the slant height of the triangular faces to calculate the surface area.
First, let's find the area of the square base:
Area of square base = (side length)\(^2\)
Area of square base =\(6^2\)
Area of square base = 36 square cm
Next, let's find the area of one of the triangular faces. Since the pyramid is a square pyramid, all the triangular faces are congruent.
To find the area of a triangular face, we need to use the formula:
Area of one triangular face = (1/2) x base x height
Area of one triangular face = (1/2) x 6 x 7
Area of one triangular face = 21 square cm
Finally, we can calculate the surface area of the pyramid by adding the area of the square base and the total area of the triangular faces:
Surface area of square pyramid = area of square base + total area of triangular faces
Surface area of square pyramid = 36 + 84
Surface area of square pyramid = 120 square cm
Therefore, the surface area of the square pyramid with a side length of 6 cm and a slant height of 7 cm is 120 square cm.
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What is the x-coordinate of the point that divides the directed line segment from j to k into a ratio of 2:5? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 –4 –2 2 4
Answers
The x-coordinate of the point is -2
How to determine the coordinates of point C?The points are given as:
J = (-6, -2)
K = (8, -9)
m : n = 2 : 5
The x-coordinates of the point is calculated as:
\(jk = \frac{m}{m+n} *(x_2 -x_1) +x_1\)
So, we have:
\(jk = \frac{2}{2+5} *(8+6) -6\)
This gives
\(jk = \frac{2}{7} *14 -6\)
So, we have:
jk = 4 - 6
Evaluate
jk = -2
Hence, the x-coordinate of the point is -2
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Rationalize the denominator.
– 5x4
✓4x +7
Answers
The question is asking us to make the denominator a rational function by finding a way to remove the square root without changing the value of the overall function.
We can do this by multiplying the denominator and numerator by the √(4x + 7), since multiplying a root term by that root term = the number being rooted (√x × √x = x).
- 5x⁴ × √(4x + 7) = (-5x⁴)(√(4x + 7))
√(4x + 7) √(4x + 7) 4x + 7
Which of the relationships below represents a function with a greater rate of change than the function y = -1/4x-4?
Answers
Given the function:
\(y=-\frac{1}{4}x-4\)The given function is a linear function
The rate of change of the linear function = the slope of the function
The slope = the coefficient of x = -1/4
So, from the given options, you will select the function that has a slope that is greater than (-1/4)
jen smith has decided to become her own boss after spending 5 years as an assistant manager for a restaurant. the owner of a local sandwich store wants to sell the store to jen for $65,000 to be paid in installments of $13,000 in each of the next 5 years. according to the current owner, the store brings in revenue of about $110,000 per year and incurs operating costs of about 63% of sales. thus, once the store is paid for, jen should make about $35,000 -$40,000 per year before taxes. until the store is paid for, she will make substantially less-but she will be her own boss. realizing that some uncertainty is involved in this decision, jen wants to simulate what level of net income she can expect to earn during the next 5 years as she operates and pays for the store. in particular, she wants to see what could happen if sales are allowed to vary based on a normal distribution with mean of $100,000 and standard deviation of $10,000, and if operating costs are allowed to vary uniformly between 60% and 65% of sales. assume that jen's payments for the store are not deductible for tax purposes and that she is in the 28% tax bracket. a. create a spreadsheet model to simulate the annual net income jen will receive during each of the next five years if she decides to buy the store. (3 points) b. given the money she has in savings; jen thinks she can get by for the next five years if she can make at least $12,000 from the store each year. run 100 simulation (replication) and find the probability that jen will make at least $12,000 in each of the next five years? (1 point) c. what is the probability (based on 100 simulation) that jen will make at least $60,000 total over the next five years? (1 point)
Answers
Jen simulated her net income over 5 years assuming sales vary based on a normal distribution $100,000 and operating costs 60% and 65% of sales. keeping the loan payment be fixed at $13,000. The probability of making at least $12,000 each year is the number of successful simulations divided by 100. and at least $60,000 total over 5 years based as the number of successful simulations divided by 100.
To simulate Jen's annual net income over the next 5 years, a spreadsheet model can be created with columns for year, sales, operating costs, loan payment, and net income.
For each year, the sales can be generated from a normal distribution with mean $100,000 and standard deviation $10,000, and the operating costs can be generated from a uniform distribution between 60% and 65% of sales.
The loan payment can be fixed at $13,000, and the net income can be calculated as the difference between the sales, operating costs, loan payment, and taxes (28% of net income).
To find the probability that Jen will make at least $12,000 in each of the next five years, 100 simulations can be run using the model created in part a. For each simulation, the net income for each of the next five years can be calculated, and if the minimum net income is at least $12,000 for each year, then the simulation is counted as a success.
The probability of success can be calculated as the number of successful simulations divided by 100.
To find the probability that Jen will make at least $60,000 total over the next five years, 100 simulations can be run using the model created in part a. For each simulation, the total net income over the next five years can be calculated, and if it is at least $60,000, then the simulation is counted as a success.
The probability of success can be calculated as the number of successful simulations divided by 100.
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Which graph represents the linear equation y = −5x − 3?
a graph of a line that passes through the points negative 4 comma 0 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 0 and 0 comma negative 5
a graph of a line that passes through the points negative 1 comma 4 and 0 comma negative 2
Answers
Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.
Answer:
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation:
I need help ASAP pls show ur work and ty
Answers
Answer:
Step-by-step explanation:
x + 0.7 = 1 - 0.2x
Add 0.2x to both sides
x + 0.2x + 0.7 = 1 - 0.2x + 0.2x
1.2x + 0.7 = 1
Subtract 0.7 from both sides:
1.2x + 0.7 - 0.7 = 1 - 0.7
1.2x = 0.3
Divide both sides by 1.2:
1.2x/1.2 = 0.3/1.2
x = 0.25
Answer:
X=0.25
Step-by-step explanation: x + 0.7 = 1 - 0.2x
Add 0.2x to both sides
x + 0.2x + 0.7 = 1 - 0.2x + 0.2x
1.2x + 0.7 = 1
Subtract 0.7 from both sides:
1.2x + 0.7 - 0.7 = 1 - 0.7
1.2x = 0.3
Divide both sides by 1.2:
1.2x/1.2 = 0.3/1.2
x = 0.25
if you roll two fair six-sided dice, what is the probability that the sum is 4 44 or higher?
Answers
The probability of rolling two fair six-sided dice and getting a sum of 4 or higher is 11/12
To calculate the probability of rolling two fair six-sided dice and getting a sum of 4 or higher, we first need to calculate the total number of possible outcomes.
The number of possible outcomes when rolling two dice is 6 × 6 = 36, since each die has 6 possible outcomes.
Now, let's find the number of outcomes that result in a sum of 4 or higher. We can do this by listing all the possible outcomes:
Sum of 4: (1, 3), (2, 2), (3, 1) = 3 outcomes
Sum of 5: (1, 4), (2, 3), (3, 2), (4, 1) = 4 outcomes
Sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), (5, 1) = 5 outcomes
Sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) = 6 outcomes
Sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) = 5 outcomes
Sum of 9: (3, 6), (4, 5), (5, 4), (6, 3) = 4 outcomes
Sum of 10: (4, 6), (5, 5), (6, 4) = 3 outcomes
Sum of 11: (5, 6), (6, 5) = 2 outcomes
Sum of 12: (6, 6) = 1 outcome
Therefore, the number of outcomes that result in a sum of 4 or higher is 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 33.
Therefore, the probability of rolling two fair six-sided dice and getting a sum of 4 or higher is 33/36 = 11/12.
To find the probability of getting a sum of 44 or higher, we need to subtract the probability of getting a sum of 43 or lower from 1:
Sum of 2: (1, 1) = 1 outcome
Sum of 3: (1, 2), (2, 1) = 2 outcomes
Sum of 4: (1, 3), (2, 2), (3, 1) = 3 outcomes
Sum of 5: (1, 4), (2, 3), (3, 2), (4, 1) = 4 outcomes
Sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), (5, 1) = 5 outcomes
Sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) = 6 outcomes
Sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) = 5 outcomes
Sum of 9: (3, 6), (4, 5), (5, 4), (6, 3) = 4 outcomes
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A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, cups of granulated sugar, and 4 cups of frozen raspberries, thawed. How many gallons of water would the recipe call for if a school made 320 servings for students to eat at lunch? 4 gallons 8 gallons 40 gallons 80 gallons
Answers
Answer:
okay i will answer but i dont see the question
Step-by-step explanation:
Sammie was looking for a dress to wear to the wedding. She found one that she liked for 20% off. To go along with it, she also purchased a necklace for $7.50. Which expression represents the amount Sammie spent?
Answers
The expression that represents the amount spent is 0.8x + 7.50
Which expression represents the amount Sammie spent?The given parameters are
Discount = 20%
Necklace = 7.50
Let the cost of the dress be x
So, the expression that represents the amount Sammie spent is
Expression = (1 - Discount) * x + Necklace
This gives
(1 - 20%) * x + 7.50
Evaluate
0.8x + 7.50
Hence, the expression that represents the amount spent is 0.8x + 7.50
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Could someone help me with this
Answers
Answer:
it is 69
Step-by-step explanation:
Answer:
−18x^8−27x^7−21x^6−24x^5−15x^4−3x^3
Step-by-step explanation:
college gpa and salary. do students with higher college grade point averages (gpas) earn more than those graduates with lower gpas (civicscience)? consider the college gpa and salary data (10 years after graduation) provided in the file gpasalary. a. develop a scatter diagram for these data with college gpa as the independent variable. what does the scatter diagram indicate about the relationship between the two variables? b. use these data to develop an estimated regression equation that can be used to predict annual salary 10 years after graduation given college gpa. c. at the .05 level of significance, does there appear to be a significant statistical relationship between the two variables?
Answers
The scatter diagram for the data with college GPA as the independent variable is illustrated as follows.
In this case, we have a dataset that includes the GPA and salary of graduates ten years after graduation. We can use GPA as the independent variable (or x-axis) and salary as the dependent variable (or y-axis). We can then plot each data point on the graph, where the x-coordinate represents the GPA and the y-coordinate represents the salary.
To create the scatter plot, we first need to organize the data into pairs of GPA and salary values. For example, the first pair is (2.22, 72,000), where 2.22 is the GPA and 72,000 is the salary. We can then plot this point on the graph by locating 2.22 on the x-axis and 72,000 on the y-axis.
We repeat this process for each data point, and then connect the points with a line or a curve. The resulting scatter plot shows us the overall pattern of the relationship between GPA and salary. If there is a positive relationship between the two variables, we would expect to see the points cluster around a line that slopes upwards from left to right.
Overall, the scatter plot provides a useful visual tool for exploring the relationship between college GPA and salary. While it suggests that there is a positive relationship between the two variables, it also reminds us that there are many other factors that contribute to earnings.
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Complete Question:
Do students with higher college grade point averages (GPs) earn more than those graduates with lower GPAs?
Consider the following hypothetical college GPA and salary data (10 years after graduation). GPA Salary (S)
72,000 2.22
48,000 2.29
72,000 2.57
64,000 2.59
86,000 2.77
98,000 3.12
133,000 3.35
130,000 2.85
157,000 3.66
162,000 3.68
Develop a scatter diagram for these data with college GPA as the independent variable
A STEAM tutoring center offers a robotics class and an app development class to its members. There are 280 members, all of which are registered for at least one class this spring. If 75% of members registered for a robotics class and 50% registered for an app development class, how many members registered for both robotics and app development?
Answers
The number of students who registered for both robotics and app development is 70.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total members = 280
The number of members who registered for the robotics class.
= 75% of 280
= 3/4 x 280
= 3 x 70
= 210
The number of members who registered for the app development class
= 50% of 280
= 1/2 x 280
= 140
We see that,
210 + 140 = 350
But we have 280 members.
So,
The number of students who registered for both robotics and app development.
= 350 - 280
= 70
Thus,
The number of students who registered for both robotics and app development is 70.
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PLS HELP FIND ANGLE MEASUREMENTS
Answers
Answer:
From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36
So,
x = 72
y = 36
What are independent variables and dependent variables when
conducting a research design to investigate the impact of a school
nutrition program on grade performance of students at high
school?
Answers
Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.
The researcher would design and implement the program, and this variable would be under their control.
Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.
In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.
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Please help giving up 20 points for answers
Answers
Answer:
Question 2: 6x-21
Question 1: -9x+3
Step-by-step explanation:
please help factorise 7ab+a
Answers
Answer:
= a(7b + 1)
Step-by-step explanation:
7ab + a
a(7b + 1).
Plot 213, −56, and −312 on the number line.
Answers
Answer:
Step-by-step explanation:
Plot 213, −56, and −312 on the number line.
Find the x and y intercepts of the equation: 5x−7y=−105
Answers
Answer:
X intercepts: (21,0)
Y intercepts: (0, -15)
Step-by-step explanation:
To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.