Answer:
From (0,0) and go down 1 and put a dot then down 4 and over to the right 1 and draw a line.
Step-by-step explanation:
Hope this helps have a nice day!
10) Determine whether the events of rolling a fair die two times are disjoint, independent, both, or neither. A) Disjoint. B) Exclusive. C) Independent. D) All of these. E) None of these.
The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.
When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:
There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.
There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).
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I need the answer can someone please help me!!
Answer:
13.5 units^2
27/2 units^2
Step-by-step explanation:
multiply 27/5 and 5/2
the fives cancel out so you are left with 27/2 so the volume is 13.5 units^2 or 27/2 units^2
sally is 3 years more that 4 times the age of her youngest child their ages add up to 48
The equations are solved and the age of Sally and her child is 39 years and 9 years respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The age of Sally = S
The age of her child = C
Now , the sum of their ages = 48 years
S + C = 48 be equation (1)
And , sally is 3 years more that 4 times the age of her youngest child
So , S = 4C + 3 be equation (2)
Substituting the value of S in the equation , we get
4C + 3 + C = 48
5C + 3 = 48
Subtracting 3 on both sides of the equation , we get
5C = 45
Divide by 5 on both sides of the equation , we get
C = 9 years
So , the age of her child is 9 years old
And , S = 4 ( 9 ) + 3
S = 36 + 3
S = 39 years
Hence , the age of Sally and her child is 39 and 9 years old respectively
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Using the data below and the SES forecast α=0.3 , what is the error for the 3rd week? Week 1,2,3,4. Time Series Value 22.00 7.00 10.00 13.00
The error for the 3rd week, using SES forecast with α=0.3, is -0.1.
To calculate the error for the 3rd week using SES (Simple Exponential Smoothing) forecast, we first need to calculate the forecasted value for the 3rd week. The forecasted value is calculated using the formula:
\(F_t = α * A_{t-1 }+ (1 - α) * F_{t-1}\)
Where:
\(F_t\) is the forecasted value for week t
\(A_{t-1}\) is the actual value for the previous week (week t-1)
\(F_{t-1}\) is the forecasted value for the previous week (week t-1)
α is the smoothing factor
Given the time series values for weeks 1, 2, 3, and 4 as 22.00, 7.00, 10.00, and 13.00 respectively, and α=0.3, we can calculate the forecasted value for the 3rd week as follows:
F₃ = 0.3 * 7.00 + (1 - 0.3) * 10.00
= 2.1 + 7
= 9.1
The error for the 3rd week is then calculated as the difference between the actual value and the forecasted value:
Error₃ = Actual Value₃ - Forecasted Value₃
= 10.00 - 9.10
= -0.1
Therefore, the error for the 3rd week, using SES forecast with α=0.3, is -0.1.
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• Liz fue a comprar un Kilo de Papas tres cuartos
de Kilo de tomate y medio Kils de aguacate Yob
Cuarto de kilo de cebolla ¿Cuantos Kilos Pesaba
toda la verdura que compro?
Liz went to the store to get a kilo of papas, three kilo tomatoes, and a half kilo of aguacate. Yob Cuarto de Kilo de Cebolla, How Many Kilograms Were All the Vegetables You Bought Weighed
2,40
Dejar:
T = Tomate
n = cebolla
(2 kilograms of t) plus 1 kilogram of n = 8.40
(1 kilogram plus 2 kilograms) equals 7.80.
2t + n = 8,40 - -
t + 2n = 7,80 - -
De (2);
t = 7,80 - 2n
Toggata = 7.80 - 2n en
2 (7,80 - 2n) + n = 8,40
15,6 - 4n + n = 8,40
15,6 - 3n = 8,40
-3n = 8,40 - 15,6
-3n = - 7,2
n = 2,4
t = 7,80 - 2
t = 7,80 - 4,80
t = 3
As a result, the price of 1 kg of celery is $2.40.
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the y intercept of G(x) in G(x) = 3x -2 is
Answer:
-2
Step-by-step explanation:
G(x) = 3x -2
Let x = 0 to find the y intercept
G(0) = 3(0)-2
=-2
Refer to Table \( \$ 6.1 \)-Factors for Computing Control Chart Limits \( (\underline{3} \) sigma) for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine
The control chart limits (3 sigma) for the fertilizer-bag-filling machine can be computed using Table $6.1.
How can the control chart limits be computed using Table $6.1 for the given problem?To compute the control chart limits (3 sigma) using Table $6.1 for the fertilizer-bag-filling machine, follow these steps:
Determine the sample size: In this problem, each sample consists of 7 observations.
Calculate the average range (R): For each sample, calculate the range by subtracting the smallest observation from the largest observation. Then, calculate the average range across all 35 samples.
Find the appropriate value from Table $6.1: Locate the row in Table $6.1 corresponding to the sample size (7) and find the factor associated with 3 sigma. This factor represents the number of standard deviations for the control limits.
Compute the control limits: Multiply the average range (R) by the factor obtained from Table $6.1 to determine the width of the control limits. Then, subtract this width from the overall average of the process data to obtain the lower control limit, and add the width to the overall average to obtain the upper control limit.
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Written in simplest exponential form the product (3x¹)(-2x¹)
(1) –5r2
(3) x¹
(2) -6x¹0
(4)-6x²1
is?
what does it mean when the second derivative equals zero
When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.
Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.
Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.
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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.
To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.
Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.
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Steven earns extra money babysitting. He charges $33.75 for 5 hours and $47.25 for 7 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits a
y represent the amount he charges.
The equation is y =
Answer:
y = 6.75x
Step-by-step explanation:
$33.75 ÷ 5 = $6.75
$47.25 ÷ 7 = $6.75
So we have y = 6.75x.
Reggie plans to have a garden with 36 plants. He wants the ratio of tomato plants to cucumber plants to be 4:5. How many cucumber plants will be in Reggie's garden?
Answer:
20
Step-by-step explanation:
Total no of plants in a garden = 36
The ratio of tomato plants to cucumber plants to be 4:5.
Let tomato plants are 4x and cucumber plants is 5x.
ATQ,
4x+5x=36
9x = 36
x = 4
For cucumber plant, 5x = 5(4) = 20
So, there are 20 cucumber plants will be in Reggie's garden
find the value of x.
4.
122°
100°
to
144
Answer:
84 degrees i think
Step-by-step explanation:
polygons have their interior angles add up to 540, so you just add up all the angles given and subtract them from 540, then you get your answer.
help me!! please.
for brainlist
Answer:
A. 312
Step-by-step explanation:
I answered this on another post
Answer:
answer is not there answer is 64in^2
Step-by-step explanation:
You have eight acts signed up to perform in the school’s talent show. How many different ways can you order the acts in the program?
To find out how many different ways you can order the eight acts in the school’s talent show program, you can use the numbers for permutations.
The formula for permutations is:P(n, r) = n! / (n - r)!Where n is the total number of items and r is the number of items being selected and ordered.The total number of acts is 8, and they are all being ordered.
So, n = 8 and r = 8. Thus,P(8, 8) = 8! / (8 - 8)! = 8! / 0! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320Therefore, there are 40,320 different ways you can order the eight acts in the school’s talent show program.
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Can someone please help me find the length and width please? 10 POINTS
Answer:
4.4 m
Step-by-step explanation:
The scale shows you the width of the bedroom is ...
1.2 + 2.1 + 1.1 = 4.4 . . . meters
Estimate the correlation coefficient for each of the above scatter plots?
Answer:
Negative Correlation
Step-by-step explanation:
We see that the overall trend is going from up to down. If you were to draw a best line of fit, it would have a negative slope. Therefore, our correlation is negative.
find the perimeter. x+10y units 4x^2-x+9y units
The perimeter of the rectangle is equal to (8x² + 38) units.
Perimeter of rectangleThe perimeter of a rectangle is the sum of length of its four sides or the sum of its length and breadth, multiplied by two.
length = (4x² - x + 9y) units
breadth = (x + 10y) units
perimeter = 2×(length + breadth)
perimeter of the rectangle = 2(4x² - x + 9y + x + 10y) units
perimeter of the rectangle = 2(4x² + x - x + 9y + 10y) units
perimeter of the rectangle = 2(4x² + 19y) units
perimeter of the rectangle = (8x² + 38y) units
Therefore, the perimeter of the rectangle is equal to (8x² + 38) units.
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question is on image
Answer:
i dont see image..
Step-by-step explanation:
Which system of equations is represented by the graph?
With explanation on how to solve pls!
The ordered pair (3, 3) satisfies both equations simultaneously, and hence it is the solution to the system of equations represented by the Graph.
The system of equations represented by the graph is 2x - 3y = 9 and -x + 4y = 12.
The graph contains two lines that intersect at a point, which is the solution to the system of equations.What is a System of Equations?A system of equations is a set of two or more equations that are to be solved simultaneously. These equations have the same variables.
If the system has two equations, it is called a system of two linear equations in two variables. The variables represent two unknown quantities, and the equations represent the relationships between them.Graphical Representation of a System of EquationsThe graphical representation of a system of equations is done by plotting the lines that are represented by the equations on the same coordinate plane.
If the two lines intersect at a point, then that point is the solution to the system of equations.The solution to the system of equations is the ordered pair that satisfies both equations simultaneously. This means that if we substitute the values of the ordered pair into both equations, the equations will be true.
The Solution to the System of Equations represented by the GraphThe graph of the system of equations given in the question contains two lines that intersect at a point. The point of intersection is (3, 3).
Therefore, the solution to the system of equations is (3, 3).Now we can verify that the ordered pair (3, 3) is the solution to both equations. When we substitute x = 3 and y = 3 in the first equation, we get:2x - 3y = 9 ⇒ 2(3) - 3(3) = 9 ⇒ 6 - 9 = -3This equation is true. Now we can substitute x = 3 and y = 3 in the second equation, we get:-x + 4y = 12 ⇒ -(3) + 4(3) = 12 ⇒ -3 + 12 = 9
This equation is also true.
Therefore, the ordered pair (3, 3) satisfies both equations simultaneously, and hence it is the solution to the system of equations represented by the graph.
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*EXTRA PTS* can someone explain how to figure out if a graph is a function or not a function
Answer:
draw a strait line and if it doesn't touch another dot it is a function
Step-by-step explanation:
Answer: Vertical line test
Step-by-step explanation:
Look at one of the graphs you have a question about. Then take a vertical line and place it on the graph. If the graph is a function, then no matter where on the graph you place the vertical line, the graph should only cross the vertical line once.
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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If the original quantity is 8 and the new quantity is 4, what is the percent increase?
The percent increase is 50%.
What is percentage increase?The percentage increase in a quantity is the rate of difference in the old and new value to the old value, express in percentage.
i.e percentage increase = (old value - new value)/ old value
If the new quantity were be have decreased, then the percentage decrease can also be determined.
Considering the given question, the percentage increase can be determined by;
old quantity = 8
new quantity = 4
So that,
percentage increase = (old value - new value)/ old value
= (8 - 4)/ 8 *100%
= 4/ 8 * 100%
percentage increase = 50%
The percent increase is 50%.
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a mathematical phrase that cannot be determined true or false
A mathematical expression is neither true nor false; it is evaluated rather than being assigned a truth value.
A mathematical expression, by itself, is not considered true or false because it does not make a specific claim or statement. An expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, and division. It represents a computation or evaluation, but it does not assert any truth value.
For example, the expression "2 + 3" is simply a calculation that evaluates to the value 5. It does not make a claim or statement that can be determined as true or false. Similarly, expressions like "\(x^2 + 4\)" or "sin(θ) + cos(θ)" represent mathematical computations but do not have a truth value.
To determine the truth value of a mathematical statement, you need an equation or inequality that makes a specific claim or relationship between mathematical expressions. For instance, the equation "2 + 3 = 5" is a mathematical statement that can be determined as true, while the inequality "x > 5" depends on the value of x and can be evaluated as true or false.
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A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.
coordinate plane with points at negative 14 comma 1 labeled Woozy Wheel, negative 6 comma 2 labeled Bumper Boats, negative 2 comma negative 4 labeled Roller Rail, negative 2 comma negative 6 labeled Trolley Train, 2 comma negative 3 labeled Silly Slide, and 6 comma 11 labeled Parachute Plunge
Determine the distance between the Woozy Wheel and the Roller Rail.
119 units
11 units
169 units
13 units
The distance between the Woozy Wheel and the Roller Rail is 13 units.
To determine the distance between the Woozy Wheel and the Roller Rail, we can use the distance formula in the coordinate plane.
The coordinates of the Woozy Wheel are (-14, 1), and the coordinates of the Roller Rail are (-2, -4).
Using the distance formula, the distance (d) between two points (x₁, y₁) and (x₂, y₂) is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the coordinates of the Woozy Wheel and the Roller Rail into the formula:
d = √((-2 - (-14))² + (-4 - 1)²)
= √(12² + (-5)²)
= √(144 + 25)
= √169
= 13
Therefore, the distance between the Woozy Wheel and the Roller Rail is 13 units.
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know these measurements?
Answer:
a=90
c=40
b=70
Step-by-step explanation:
a is right angle so 90
c is 160-90-30=40
b is 150-80=70
In 60 seconds, a car in a parade travels 0.2 mile. The car traveled the last 0.05 mile in 12 seconds. How long did it take for the car to travel 0.1 mile?
Answer:
First 0.1 miles: 32 seconds
Last 0.1 miles: 28 seconds
Step-by-step explanation:
The car traveled 0.2 mile in 60 seconds.
The last 0.05 miles were done in 12 seconds.
Then the first 0.2 - 0.05 = 0.15 miles were done in 60 - 12 = 48 seconds. The speed of the car was: 0.15/48 = 0.003125 mi/s
At this speed it takes 0.1/0.003125 = 32 s to travel the first 0.1 mile.
In the second 0.1 mile, 0.05 miles are done at the same speed than before. It takes 0.05/0.003125 = 16 s, the next 0.05 miles were traveled in 12 seconds, making a total of 16+12 = 28 seconds
Which expression is equivalent to 5(4k+7)?
A. 5(7+4k)
B.7(5k+4)
C.35k+20
D.4k+35
Answer:
A. 5(7+4k) = 35+ 20k
This is the same as 5(4k+7)
20k+35 is equal to 35+20k
If 28% of students in college are near-sighted, the probability that in a randomly chosen group of 20 college students, exactly 4 are near-sighted is closest to:.
Therefore, the probability that exactly 4 out of 20 randomly chosen college students are near-sighted is closest to 0.7988 or approximately 0.80.
To find the probability that exactly 4 out of 20 randomly chosen college students are near-sighted, we can use the binomial probability formula.
The formula for the probability of k successes in n trials, with a probability of success p in each trial, is given by:
\(P(X = k) = (n choose k) * p^k * (1 - p)^{(n - k)\)
In this case, n = 20, k = 4, and p = 0.28 (probability of a student being near-sighted).
Plugging in these values into the formula, we get:
\(P(X = 4) = (20 choose 4) * (0.28)^4 * (1 - 0.28)^{(20 - 4)\)
Calculating the values:
(20 choose 4) = 4845
\((0.28)^4\) ≈ 0.006859
\((1 - 0.28)^{(20 - 4)\) ≈ 0.19224
P(X = 4) ≈ 4845 * 0.006859 * 0.19224
≈ 0.7988
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6. Ron pays 6 payments of $4 each to a game store. He returns one game and receives
$10 back. What is the change to the amount of money she has?
The change to the amount of money she has = $10
what is amount ?
Amount is defined as to add up to a total .the bill for four people at a restaurant that is 50 dollars is an example of the costs of four meals that amount to 50 dollars.
A amount is a number, or quantity of something
she made 6 payments of $4each = 6(4) =$ 20 spent
she got $ 10 back = 20-10 =$10
the change to the amount of money she has is -$10 because
she has $10 less than she started with
so the change to the amount of money she has $10
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a line intercepts the point ( -11, 4) and has a slope of -2 fill in the formula y - ? = ? (x - ? )
The point-slope form is;
\(y-4\text{ = -2(x+11)}\)Here, we want to write the slope intercept formula for the given line and point
We have the general point-slope form as;
\(\begin{gathered} y-y_1=m(x-x_1) \\ \\ m\text{ is slope = -2} \\ (x_1,y_1)\text{ = (-11,4)} \\ \\ y-4\text{ = -2(x-(-11))} \\ y\text{ - 4 = -2(x+11)} \end{gathered}\)