There are six wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use.
Required:
Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested.
Answers
Answer:
There are 720 possible sequences of assembly that must be tested.
Step-by-step explanation:
We are given that;
No. of wires needed to be attached to a circuit board = 6
We want to find the number of possible sequences of the assembly that must be tested.
From multiplication rule of counting;
Number of possible sequences of the assembly = 6!
1st selection of wire = 6 possible choices
2nd selection of wire = 5 possible choices
3rd selection of wire = 4 possible choices
4th selection of wire = 3 possible choices
5th selection of wire = 2 possible choices
6h selection of wire = 1 possible choice
Thus,
number of possible sequences = 6 × 5 × 4 × 3 × 2 × 1 = 720
Thus, there are 720 possible sequences of assembly that must be tested.
Related Questions
Samuel's father has a garden in the backyard. He divided the garden into 8 equal-sized parts. He planted carrots in
1/8
of the garden. He planted tomatoes in
4/8
of the garden. And he planted beans in the rest of the garden. What fraction of the garden did he plant beans in? Show your equation and the correct answer.
Answers
The fraction of the garden planted with beans is 1/8.
What is Equation ?
In mathematics, an equation is a statement that two mathematical expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign (=).
The fraction of the garden planted with beans is equal to the fraction of the garden not planted with carrots or tomatoes.
The fraction of the garden not planted with carrots is
7/8
(1 - 1/8).
The fraction of the garden not planted with tomatoes is
4/8
(1/2), so the fraction of the garden not planted with either carrots or tomatoes is:
7/8
+
1/2
1/8
7/8
+
4/8
1/8
10/8
1/8
9/8
Since the fraction of the garden planted with beans is the same as the fraction not planted with either carrots or tomatoes, the answer is:
9/8
1/8
8/8
1
Therefore, the fraction of the garden planted with beans is
1/8.
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People that live in the northern part of the USA can reduce their energy cost by lowering their thermostat by 2 degrees in the winter. This reduces their energy cost by about 8 percent in many homes. If the family was paying $120 per month, how much will their bill be if they lower the thermostat by 2 degrees?
Answers
Based on an 8-percentage reduction, if the family was paying $120 per month for energy, by lowering their thermostat by 2 degrees in the winter, their bill will be $110.40.
What is the percentage?The percentage refers to the ratio by which the cost of an item is increased or reduced.
A percentage reduction shows the quotient of the difference between the original value and the new value multiplied by 100.
Original energy bill per month = $120
Percentage reduction = 8%
New value of energy bill = $110.40 ($120 x (1 - 8%)
Thus, the new energy bill per month for the family will be $110.40.
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y=-0.024x^2+0.0791x+4.873
Answers
The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol
The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.
The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.
The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.
The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.
The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.
To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.
Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.
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You have to give more than 5 gifts to friends this Christmas. You decide to give everyone scented candles. The candles in plain jars cost $3.79 each, and the ones in decorated jars cost $8.99 each. If you have at most $50 to spend, what is a possible solution to the problem? Let the number of candles in plain jars = x and the number of candles in decorated jars = y.
A. 8 candles in plain jars and 2 candles in decorated jars
B. 2 candles in plain jars and 2 candles in decorated jars
C. 6 candles in plain jars and 4 candles in decorated jars
D. 14 candles in plain jars and 2 candles in decorated jars
Answers
Answer:
B! the answer is b!
Step-by-step explanation:
hope it heellpps! :>
a punch bowl has a capacity of 8 quarts. a recipe fills the bowl 3/4 full.how many quarts does the recipe make
Answers
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
An unitary method is what?This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.
Here,
The quantity of punch produced by the recipe is:
If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.
=> 6 pints = 8 * 3/4.
The formula yields 6 quarts of punch as a result.
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
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Evaluate the following expression.
(-3)0
Answer here
Answers
The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0
Evaluating the expression (-3)0From the question, we have the following parameters that can be used in our computation:
(-3)0
The above statement is a product expression that multiplies the values of -3 and 0
Also, there is no need to check if there are like terms in the expression or not
This is because we are multiplying the factors
So, we have
(-3)0 = 0
This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0
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19. The table below shows the population of Florida from 2010 to 2019.YearPopulation (millions)201018.7201119.1201219.3201319.6201419.9201520.2201620.6201721.0201821.2201921.5(a) Use a graphing calculator to build a logistic regression model that best fits this data, letting t=0 in 2010. Round each coefficient to two decimal places.Pt = (b) What does this model predict that the population of Florida will be in 2030? Round your answer to one decimal place. million people(c) When does this model predict that Florida's population will reach 23 million? Give your answer as a calendar year (ex: 2010).During the year (d) According to this model, what is the carrying capacity for Florida's population? million people
Answers
The formula for the logistic regression model that best fits the data is,
\(y_1=\frac{a}{1+b\cdot e^{t\cdot x_{1}}}\)The graph, tables and details of the population data will be shown below
a) The equation that best fits the regression model is,
\(\begin{gathered} P_t=y_1 \\ t=x_1 \\ a=93.2861\approx93.29(2\text{ decimal places)} \\ b=3.98291\approx3.98(2\text{ decimal places)} \\ t=-0.0198742\approx-0.02(2\text{ decimal places)} \end{gathered}\)Substitutes the data above into the equation
\(P_t=\frac{93.29}{1+3.98\cdot e^{-0.02t}}\)Hence,
\(P_t=\frac{93.29}{1+3.98\cdot e^{-0.02t}}\)b) In the year 2030, t = 20
\(\begin{gathered} P_{20}=\frac{93.29}{1+3.98\cdot e^{-0.02\times20}}=\frac{93.29}{1+3.98\cdot e^{-0.4}}=\frac{93.29}{1+3.98\times0.67032} \\ P_{20}=\frac{93.29}{1+2.6678736}=\frac{93.29}{3.6678736}=25.43435521\approx25.4(1\text{ decimal place)} \\ P_{20}=25.4million\text{ people} \end{gathered}\)Hence, the answer is
\(P_{20}=25.4\text{million people}\)c) Given that
\(\begin{gathered} _{}P_t=23\text{million people} \\ 23=\frac{93.29}{1+3.98\cdot e^{-0.02t}} \end{gathered}\)Multiply both sides by 1+3.98e^{-0.02t}
\(\begin{gathered} 23(1+3.98e^{-0.02t})=1+3.98e^{-0.02t}\times\frac{93.29}{1+3.98\cdot e^{-0.02t}} \\ \frac{23(1+3.98e^{-0.02t})}{23}=\frac{93.29}{23} \\ 1+3.98e^{-0.02t}=4.056087 \end{gathered}\)Subtract 1 from both sides
\(\begin{gathered} 1+3.98e^{-0.02t}-1=4.056087-1 \\ 3.98e^{-0.02t}=3.056087 \end{gathered}\)Divide both sides by 3.98
\(\begin{gathered} \frac{3.98e^{-0.02t}}{3.98}=\frac{3.056087}{3.98} \\ e^{-0.02t}=0.767861055 \end{gathered}\)Apply exponent rule
\(\begin{gathered} -0.02t=\ln 0.767861055 \\ -0.02t=-0.264146479 \end{gathered}\)Divide both sides by -0.02
\(\begin{gathered} \frac{-0.02t}{-0.02}=\frac{-0.264146479}{-0.02} \\ t=13.20732\approx13(nearest\text{ whole number)} \\ t=13 \end{gathered}\)Hence, the population will reach 23million in the year 2023.
d) The carrying capacity for Florida's population is equal to the value of a.
\(\begin{gathered} \text{where,} \\ a=93.29\text{ million people} \end{gathered}\)Hence, the carrying capacity fof Florida's population is
\(93.29\text{million people}\)
Use the equation and type the ordered-pairs. y=3^x
Answers
The ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)
How to type the ordered pairs?The equation is given as:
y = 3^x
Let x = 0, 1 and 2
y = 3^0 = 1
y = 3^1 = 3
y = 3^2 = 9
So, we have the following ordered pairs (0,1), (1,3) and (2,9)
Hence, the ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)
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Adam’s credit card calculates finance charges using the adjusted balance method and a 30-day billing cycle. The table below shows his use of that credit card over three months.
Date
Amount ($)
Transaction
4/1
626.45
Beginning balance
4/10
37.41
Purchase
4/12
44.50
Purchase
5/3
65.50
Payment
5/16
24.89
Purchase
5/20
104.77
Payment
6/6
23.60
Payment
6/10
15.00
Purchase
6/14
51.85
Purchase
If Adam’s credit card has an APR of 14.63%, what is Adam’s balance at the end of June?
a.
$629.42
b.
$629.66
c.
$627.27
d.
$628.40
Answers
Adam's balance at the end of June is $627.27
The adjusting balance method is used to determine the interest that would be paid by a credit card owner. The interest that would be paid is determined at the end of a period after all transactions have been adjusted for.
For example, if I have $100 in my credit card. If I buy a shoe worth $50 and deposit $20. My balance at the end of the month would be ($100 + $50 - $20) = $130.
Adam's balance can be determined by adding the amount he spent on purchases to the beginning balance and subtracting the payments he made.
$626.45 + $37.41 + $44.50 - $65.5 +$24.89 - $104.77 +$23.60 + $15 + $51.85 = $605.23
The balance at the end of the month would be the sum of the interest and the amount in his balance
Interest earned = balance x interest rate
Interest rate = 14.63% / 4 = 3.66%
Interest earned = $605.23 x 0.0366 = $22.14
Balance = $22.14 + $605.23 = $627.37
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Answer:
C
Step-by-step explanation:
627.27. Just had it on my test
Which of these best explains the next step to simplify this expression?
Answers
Answer:
Make the -4 exponent in the denominator positive.
Explain why 1/12+ 1/12+ 1/12is the same as 1/4.
Answers
Answer:
1/4 = 3/12 = 1/12+1/12+1/12
Step-by-step explanation:
Because 1/4 equals 3/12.
Each of 6 students reported the number of movies they saw in the past year. Here is what they reported. 14, 11, 15, 19, 12, 10 Send data to calculator Find the mean number of movies that the students saw. If necessary, round your answer to the nearest tenth. movies X Ś
Answers
The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.
To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.
So, let's calculate the mean:
(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5
Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
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Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answers
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
Find the coordinates of the point 3/10
of the way from A to B.
Answers
The coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)
How to determine the coordinates of the point?The given parameters are:
the coordinates of b is (9,7) the coordinates of a is (-4,-6)The position of the point is given as:
Location = 3/10
Express as ratio
m ; n = 3 : 10 - 3
This gives
m ; n = 3 : 7
The coordinates of the point are then calculated as:
Point = Location * (mx2 + nx1, my2 + ny1)
This gives
Point = 3/10 * (3 * 9 + 7 * -4, 3 * 7 + 7 * -6)
Evaluate
Point = 3/10 * (-1, -21)
This gives
Point = (-0.3, -6.3)
Hence, the coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)
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Complete question
find the coordinates of the point 3/10 of the way from a to b
the coordinates of b is (9,7)
the coordinates of a is (-4,-6)
Let S be the universal set, where:
S= {1, 2, 3,..., 18, 19, 20}
Let sets A and B be subsets of S, where:
Answers
Answer:
Step-by-step explanation:
Therefore, the height of the tower is approximately 121.4 meters.
If you don’t know for sure don’t answer this is a test and I don’t wanna get it wrong :)
Answers
3^3 = 27, so 3 is a good value.
(-3)^3 = -27, not it's not -3
9^3 = 729, so 9 is not good.
(-9)^3 = -729, so -9 is not good.
The answer is A) x=3.
which box and whisker plot matches the data 20, 32, 19, 12, 28, 34, 29, 36, 20, 15, 30, 17
Answers
Answer:
See attached images.
Step-by-step explanation:
The minimum of the data set is 12.
Maximum is 36.
Median is 24.
First quartile Q1 = 18
Third quartile Q3 = 31
Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Answers
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
According to the problem, we know that:
3(4 + x) < 7x
Simplifying:
12 + 3x < 7x
Subtracting 3x from both sides:
12 < 4x
Dividing both sides by 4:
3 < x
So the number we're looking for must be greater than 3.
is this a rigid motion
Answers
The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.
What are transformations on the graph of a function?Examples of transformations are given as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.
The transformation for this problem has the rule defined as follows:
(x,y) -> (x + 2, -y).
The transformations are defined as follows:
x -> x + 2 is a translation right two units.y -> -y is a reflection over the x-axis.Neither transformation is a dilation, hence it is a rigid motion.
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A child’s ladder is made of 2 sections. Each section is 3/4 meters. How long is the ladder when all 2 sections are extended to make
one ladder?
Answers
Answer:
as a mixed fraction it would be 1 2/4 and as an improper fraction it would be 6/4
Step-by-step explanation:
What is the range of the numbers below?
-3.9
-7.3
4.6
-6.0
0.5
7.2
Answers
If $2000 is invested at an interest rate of 4.5% per year, compounded continuously, find the value of the investment after the given number of years. (Round your answers to the nearest cent.) a) 2 years
b) 4 years c) 12 years
Answers
a) 2 years: The value of the investment after 2 years would be $2090.45.
b) 4 years: The value of the investment after 4 years would be $2186.63.
c) 12 years: The value of the investment after 12 years would be $2712.20.
a) 2 years: Value = 2000 x e^(0.045 x 2) = $2090.45
b) 4 years: Value = 2000 x e^(0.045 x 4) = $2186.63
c) 12 years: Value = 2000 x e^(0.045 x 12) = $2712.20
The value of a continuously compounded interest rate can be calculated using the formula: Value = P x e^(r x t), where P is the principal amount, r is the interest rate per year, and t is the time in years.
Using this formula, the value of a $2000 investment with an interest rate of 4.5% after 2 years would be $2090.45. This can be calculated by plugging the values into the formula: Value = 2000 x e^(0.045 x 2) = $2090.45.
The value of the same investment after 4 years would be $2186.63, which can be calculated in the same way: Value = 2000 x e^(0.045 x 4) = $2186.63.
The value of the same investment after 12 years would be $2712.20, which can be calculated by plugging the values into the formula: Value = 2000 x e^(0.045 x 12) = $2712.20.
Continuously compounded interest rates are a great way to earn money on investments, as the compounding of interest leads to higher returns over time.
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Please answer this without making mistakes
Answers
Answer:
1 pound = 16 ounces
2 pounds = 32 ounces
Given:
Cost for 2 pounds of bananas = $1.28
Price per ounce = 1.28/32 [∵2 pounds = 32 ounces]
=$0.04
Hence the cost of bananas per ounce is $0.04
Hope it helped!
HELP PLEASE URGENT!!!
A Ferris wheel is 50 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 2 minutes. How many minutes of the ride are spent higher than 38 meters above the ground?
answer in minutes.
Answers
The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.
To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.
The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.
When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.
The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.
To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.
The formula is:
θ = arcsin(h / r)
where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).
θ = arcsin(38 / 29) ≈ 1.0918 radians
Now, we know the angle at which the Ferris wheel is 38 meters above the ground.
To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.
The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.
Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:
Fraction = θ / (2π) ≈ 1.0918 / (2π)
Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:
Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes
Calculating this expression will give us the answer in minutes.
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In which situation would the result be 0?
Answers
1 1/2 + (-1 1/2) or 1 1/2 - 1 1/2
Evaluating accordingly would result in an answer of 0.
Final answer: C.
Answer:
C, adding -1 1/5 to the coordinate of point J
Step-by-step explanation:
J= 1 1/5
1 1/5+(-1 1/5)
- use the distributive property
- positive x negative # = negative #
1 1/5 - 1 1/5
= 0
Find the solution set of the inequality:
−3x+8<15
Answers
Answer:
x>7/3 and x≤ -7/3
Step-by-step explanation:
Solve for x in the inequality
−3x+8<15 is x>7/3 the to find a second solution set, flip the inequality and the switch the sign x≤ -7/3
Answer:
Step-by-step explanation:
−3x+8<15
2x> -7
\(3x\\3\) → \(\frac{-7}{3}\)
divide both side by 3
x→ \(-\frac{7}{3}\)
What is the definition of an irrational number?
A.
a negative number
B.
a number that can be expressed as a fraction, , where p and q are integers and q is not equal to zero
C.
a number that cannot be expressed as a fraction, , where p and q are integers and q is not equal to zero
D.
a number that can be written as a fraction but not as a decimal
Answers
A line passes through the origin (−1, 1) and (4, n). Find the value of n.
Answers
The line y = - x has a coordinate value of (4, - 4) passing through the origin.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through the origin, (−1, 1) and (4, n).
So, The slope of the line is,
m = (1 - 0)/(- 1 - 0).
m = - 1.
Now,
1 = -1(-1) + b.
b = 0.
y = - x.
At x = 4,
y = - 4.
So, The point (4, n) is (4, - 4).
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Don't drink and drive: A highway safety council reported that there were 3972 fatalities among drivers in auto accidents in a particular year. Following is a frequency distribution of their ages. Approximate the mean age. Round your answer to one decimal place. Age Number of Fatalities 11-20 340 21-30 1527 31-40 866 41-50 693 51-60 423 61-70 123 Send data to Excel The mean is approximately .
Answers
Answer:
\(\bar x = 34.7\)
Step-by-step explanation:
Given
\(\begin{array}{cc}{Age} & {Fatalities} & {11 - 20} & {340} & {21-30} & {1527} & {31-40} & {866} & {41-50} & {693} & {51-60} & {423} & {61-70} & {123} \ \end{array}\)
Required
Calculate the mean
The given data is a grouped data. So, we need to calculate the class mid -point first.
This is done by calculating the average of the class intervals.
So, we have:
\(\begin{array}{ccc}{Age} & {Fatalities} & {x} & {11 - 20} & {340} & {15.5} & {21-30} & {1527} &{25.5}& {31-40} & {866} & {35.5} & {41-50} & {693} & {45.5} & {51-60} & {423} & {55.5} & {61-70} & {123} & {65.5}\ \end{array}\)
For 11 - 20, the midpoint is: \(x =\frac{1}{2}(11+20) = \frac{1}{2}*31=15.5\)
For 21 - 30, the midpoint is: \(x =\frac{1}{2}(21+30) = \frac{1}{2}*51=25.5\)
.....
For 61 - 70, the midpoint is: \(x =\frac{1}{2}(61+70) = \frac{1}{2}*131=65.5\)
The mean is then calculated as:
\(\bar x = \frac{\sum fx}{\sum f}\)
\(\bar x = \frac{(15.5 * 340) + (25.5 * 1527) + (35.5 * 866) + (45.5 * 693) + (55.5 * 423) + (65.5 * 123)}{340 + 1527 + 866 + 693 + 423 + 123}\)
\(\bar x = \frac{138016}{3972}\)
\(\bar x = 34.7472306143\)
\(\bar x = 34.7\) --- approximated
The mean is approximately 34.7
Rectangel ABCD has the coordinates shown:A(1,1), B(1,3), C(4,3). Find the coordinates of D
Answers
We can start by drawing the rectangle:
As we can see from the drawing, the coordinates of D are (4, 1).
Since the sides BC = AD, and B (1, 3) and C(4, 3).
D must have the same x coordinate as C, that is, x = 4.
Also, since AB = DC, the y coordinate for D must have the same y coordinate as A, that is, y = 1.
Therefore, the coordinates for D are (4, 1).