Fatal Collisions with a Fixed Object. The National Highway Traffic Safety Administration (NHTSA) collects traffic safety-related data for the U.S. Department of Transportation. According to NHTSA's data, 10,426 fatal collisions in 2016 were the result of collisions with fixed objects (NHTSA website, https://www.careforcrashvictims .com/wp-content/uploads/2018/07/Traffic-Safety-Facts-2016_-Motor-Vehicle-Crash -Data-from-the-Fatality-Analysis-Reporting-System-FARS-and-the-General-Estimates -System-GES.pdf). The following table provides more information on these collisions. Assume that a collision will be randomly chosen from this population. a. What is the probability of a fatal collision with a pole or post? b. What is the probability of a fatal collision with a guardrail? c. What type of fixed object is least likely to be involved in a fatal collision? What is the probability associated with this type of fatal collision? d. What type of object is most likely to be involved in a fatal collision? What is the probability associated with this type of fatal collision?
Answers
Answer : a. P(fatal collision with a pole or post) = 0.068 or 6.8%
b. P(fatal collision with a guardrail) = 0.104 or 10.4%.
c. P(fatal collision with traffic island or median) = 0.015 or 1.5%.
d. P(fatal collision with a tree)= 0.347 or 34.7%.
Explanation :
a. Probability of a fatal collision with a pole or post:
According to the table, there were 708 fatal collisions with poles or posts out of 10,426 fatal collisions in total. Therefore, the probability of a fatal collision with a pole or post is:
P(fatal collision with a pole or post) = Number of fatal collisions with a pole or post/ Total number of fatal collisions= 708/10,426= 0.068 or 6.8%
b. Probability of a fatal collision with a guardrail:
According to the table, there were 1,088 fatal collisions with guardrails out of 10,426 fatal collisions in total.
Therefore, the probability of a fatal collision with a guardrail is:
P(fatal collision with a guardrail) = Number of fatal collisions with a guardrail/ Total number of fatal collisions= 1,088/10,426= 0.104 or 10.4%.
c. Type of fixed object least likely to be involved in a fatal collision:
According to the table, the type of fixed object least likely to be involved in a fatal collision is traffic island or median. There were only 158 fatal collisions with traffic island or median out of 10,426 fatal collisions in total. Therefore, the probability associated with this type of fatal collision is:
P(fatal collision with traffic island or median) = Number of fatal collisions with traffic island or median/ Total number of fatal collisions= 158/10,426= 0.015 or 1.5%.
d. Type of object most likely to be involved in a fatal collision:
According to the table, the type of object most likely to be involved in a fatal collision is a tree. There were 3,623 fatal collisions with a tree out of 10,426 fatal collisions in total. Therefore, the probability associated with this type of fatal collision is:
P(fatal collision with a tree) = Number of fatal collisions with a tree/ Total number of fatal collisions= 3,623/10,426= 0.347 or 34.7%.
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Related Questions
A segment is m units long. Find the distance between the midpoints of the first and last parts if the segment is divided into 5 equal parts.
Answers
The midpoints of the first and last parts are 4/5m units apart
How to determine the distance between the midpoints?The length of the line segment is given as
Length = m units
From the question, the number of partitions is given as
Partition = 5
So, the length of each partition is
Each partition = Length/Partition
This gives
Each partition = m/5
The midpoint of a partition is
Partition midpoint = m/5 x 1/2
Evaluate
Partition midpoint = m/10
The distance between the midpoints of the first and last segments is then calculated as
Distance = Length - 2 x Partition midpoint
So, we have
Distance = m - 2 x m/10
Evaluate
Distance = m - m/5
This gives
Distance = 4/5m
Hence, the distance is 4/5m units
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scenario 1: shaniqua was interested in finding out how people would sleep after being told that the house they were in was haunted. she randomly selected 28 people from her school to participate in the study. she randomly assigned 14 of the people to sleep in the house on friday night, when she told them all that it was haunted. the other 14 slept in the house on saturday night and were not told that the house was haunted. she then measured how long each person slept and found that those in the "haunted" group got fewer hours of sleep than those in the "not-haunted" group. the independent variable is
Answers
In this scenario, the independent variable is the factor that is being manipulated or changed by the researcher. It is what the researcher controls and assigns to different groups in the study.
In this case, the independent variable is whether the participants were told that the house was haunted or not. Shaniqua randomly assigned 14 people to sleep in the house on Friday night and told them that it was haunted. The other 14 people slept in the house on Saturday night and were not told that it was haunted.
So, the independent variable in this study is the information about the house being haunted that was given to the participants. The study aimed to examine how this information affected people's sleep.
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The independent variable in this scenario is whether the participants were told that the house was haunted or not.
In this study, the researcher randomly assigned participants into two groups: the "haunted" group and the "not-haunted" group. The independent variable is the information provided to each group, with the "haunted" group being told that the house was haunted and the "not-haunted" group not being given any information about the haunting.
Thus, the independent variable allows the researcher to investigate the potential causal relationship between being told that the house is haunted and the amount of sleep obtained.
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in a plane, four circles with radii 1,3,5, and 7 are tangent to line l at the same point a, but they may be on either side of l. region s consists of all the points that lie inside exactly one of the four circles. what is the maximum possible area of region s?
Answers
Answer: Let us call the centers of the four circles C1, C3, C5, and C7, respectively, where the subscript refers to the radius of the circle. Without loss of generality, we can assume that the tangent point A lies to the right of all the centers, as shown in the diagram below:
C7
o-----------o
C5 / \ C3
/ \
o-----------------o
C1
|
|
| l
|
A
Let us first find the coordinates of the centers C1, C3, C5, and C7. Since all the circles are tangent to line l at point A, the centers must lie on the perpendicular bisector of the line segment joining A to the centers. Let us denote the distance from A to the center Cn by dn. Then, the coordinates of Cn are given by (an, dn), where an is the x-coordinate of point A.
Using the Pythagorean theorem, we can write the following equations relating the distances dn:
d1 = sqrt((d3 - 2)^2 - 1)
d3 = sqrt((d5 - 4)^2 - 9)
d5 = sqrt((d7 - 6)^2 - 25)
We can solve these equations to obtain:
d1 = sqrt(16 - (d7 - 6)^2)
d3 = sqrt(4 - (d7 - 6)^2)
d5 = sqrt(1 - (d7 - 6)^2)
Now, let us consider the region S that lies inside exactly one of the four circles. This region is bounded by the circle of radius 1 centered at C1, the circle of radius 3 centered at C3, the circle of radius 5 centered at C5, and the circle of radius 7 centered at C7. Since the circles are all tangent to line l at point A, the boundary of region S must pass through point A.
The maximum possible area of region S occurs when the boundary passes through the centers of the two largest circles, C5 and C7. To see why, imagine sliding the circle of radius 1 along line l until it is tangent to the circle of radius 3 at point B. This increases the area of region S, since it adds more points to the interior of the circle of radius 1 without removing any points from the interior of the other circles. Similarly, sliding the circle of radius 5 along line l until it is tangent to the circle of radius 7 at point C also increases the area of region S. Therefore, the boundary of region S must pass through points B and C.
Using the coordinates we obtained earlier, we can find the x-coordinates of points B and C as follows:
x_B = a - 2 - sqrt(9 - (d7 - 6)^2)
x_C = a + 6 + sqrt(9 - (d7 - 6)^2)
To maximize the area of region S, we want to maximize the distance BC. Using the distance formula, we have:
BC^2 = (x_C - x_B)^2 + (d5 - d3)^2
Substituting the expressions we derived earlier for d3 and d5, we get:
BC^2 = 32 - 2(d7 - 6)sqrt(9 - (d7 - 6)^2)
To maximize BC^2, we need to maximize the expression inside the square root. Let y = d7 - 6. Then, we want to maximize:
f(y) = 9y^2 - y^4
Taking the derivative of f(y) with respect to y and setting it equal to zero, we get:
f'(y) = 18y - 4y^3 = 0
This equation has three solutions: y = 0, y = sqrt(6)/2, and y = -sqrt(6)/2. The only solution that gives a maximum value of BC^2 is y = sqrt(6)/2, which corresponds to d7 = 6 + sqrt(6)/2.
Substituting this value of d7 into our expressions for d1, d3, and d5, we obtain:
d1 = sqrt(16 - (sqrt(6)/2)^2) = sqrt(55/2)
d3 = sqrt(4 - (sqrt(6)/2)^2) = sqrt(19/2)
d5 = sqrt(1 - (sqrt(6)/2)^2) = sqrt(5/2)
Using these values, we can compute the coordinates of points B and C as follows:
x_B = a - 2 - sqrt(9 - (sqrt(6)/2)^2) = a - 2 - sqrt(55)/2
x_C = a + 6 + sqrt(9 - (sqrt(6)/2)^2) = a + 6 + sqrt(55)/2
The distance between points B and C is then:
BC = |x_C - x_B| = 8 + sqrt(55)
Finally, the area of region S is given by:
Area(S) = Area(circle of radius 5 centered at C5) - Area(circle of radius 7 centered at C7)
= pi(5^2) - pi(7^2)
= 25pi - 49pi
= -24pi
Since the area of region S cannot be negative, the maximum possible area is zero. This means that there is no point that lies inside exactly one of the four circles. In other words, any point that lies inside one of the circles must also lie inside at least one of the other circles.
Step-by-step explanation:
2900 people attended a football game. 1595 of the people attending supported the home team, while 1305 supported the visiting team. What percentage of people attending supported the home team?
Answers
The percentage of people attending the football game that supported the home team is 55%.
What is the percentage that supported the home team?
Percentage can be described as a fraction of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is%.
Percentage that supported the home team = (1595 / 2900) x 100 = 55%
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Help me, Free things
Answers
Step-by-step explanation:
t/3 + -14 = -18
first we clear up the +/- situation.
we know when + and - are combined, the result is -.
t/3 - 14 = -18
now we eliminate the free -14 constant on the left side by adding 14 to both sides (remember, we need to do changes always on both sides to keep the "=" relation: it is like with a balance).
t/3 = - 18 + 14 = -4
and now we eliminate the factor 1/3, so that t remains standing alone, by multiplying both sides by 3 :
t = -4×3 = -12
that's it. we have our answer
A local news story claims that 53 of high school males agree with the statement "i am okay with a girl playing on the football team because there is not a football team for girls". to investigate this claim srs of 100 males from a large local high school is selected. in the sample, 38 males agreed with the statement. we used technology to stimulate choosing 240 srs of size n=100 from a population of males where 53% agreed with the statement. the dot plot shows p= the sample proportion of males who agree with the statement for each of the 240 samples
Answers
The dot plot would help determine if the sample proportion of 38% obtained in the first sample is unusual or if it falls within the expected range of variability for random samples.
The dot plot would display 240 dots, each representing a sample proportion of the males who agree with the statement.
The dot plot would show the distribution of the sample proportions and give an idea of how close or far away each sample proportion is from the population proportion of 53%.
The sample proportions will vary due to random sampling, but on average, they should be close to the population proportion of 53%.
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Find the largest six digits number which is divisible by 120 exactly.
Answers
Answer:
999,960
Step-by-step explanation:
let x be a multiple of 120
120x ≤ 999,999
999,999 / 120 = 8333.325
8333 ≤ x ≤ 8334
8333(120) = 999,960
8334(1200) = 1,000,080 this is a 7-digit number
Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960
Tanner is 2 years younger than his
brother. Tanner's age t in years is 2
less than his brother's age b.
dependent variable:
independent variable:
equation:
Answers
The equation will be:
t = b - 2
And we can see that:
independent variable = brother's age.dependent variable = Tanner's age.How to identify the variables?Here we have two variables:
t = taner's age
b = age of Tanner's brother.
The independent variable is the one that does not depend on the other, in this case (for how it is worded) is the brother's age.
The dependent variable depends on the other, on this case, Tanner's age.
Now let's write the equation, we know that Taner's age is 2 years less than his brother, then:
t = b - 2
That is the equation.
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what is the smallest possible perimeter, in units, of a triangle whose side-length measures are consecutive integer values?
Answers
If a triangle whose sides length measures are consecutive integers, then the smallest possible perimeter is 9 units
If a, b and c are the sides of the triangle
Then it will be
a + b > c
b + c > a
c + a > b
Given that the side length of the measures are consecutive integer
Smallest consecutive integer is 1, 2 and 3
But
1 +2 > 3
3 = 3
Therefore it will not be the sides of the triangle
Next smallest consecutive integers are 2, 3 and 4
Then,
2+3 > 4
5 > 4
3+4 > 2
7 > 2
2+4 > 3
6 > 3
This will be the sides of the triangle
The perimeter of the triangle is the sum of sides of the triangle
The perimeter = 2 + 3 + 4
= 9 units
Hence, if a triangle whose sides length measures are consecutive integers, then the smallest possible perimeter is 9 units
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Which of the following formulas is CORRECT for finding the present value of an investment
A) FV = PV/(1 + r)^n
B) PV = FV x (1 + r)n
C) PV = FVn x (1 + r)
D) PV = FV x 1/(1 + r)^n
Answers
The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.
The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).
Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.
In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.
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1. Write an expression for the operation described below.
w minus 3
Answers
The expression for the operation w minus 3 is w - 3.
What is an expression?It should be noted that an expression simply shows the relationship between the variables given.
In this case, the information given is illustrated as w minus 3.
Therefore, the expression will be:
= w - 3.
Therefore, the expression for the operation w minus 3 is w - 3.
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7x ≤3x-24 or 10x-1≥9
Answers
Answer:
Im not pretty sure but i think thats the answer ^^
Christine owns 9 hair bands and additional hair bands are 2 for a dollar. How much money does she need to spend on hair bands in order to own a total of 49 hair bands?
Answers
Answer: $20
Step-by-step explanation:
If she already has 9, and she needs 49, take that extra 9 off 49 and then she needs 40 more and she gets 2 for a dollar, she'll need to spend $20 to get 40 headbands. Can I please get Brainliest?
Ryker wants to buy a bike that cost $150. He currently has saved $50. How much money does he need to buy his bike?
Answers
Answer: 100 dollars
Step-by-step explanation: If he has 50 dollars and the bike costs 150 he need 100 more dollars to get 150 dollars
Helpppp and explain :))
Answers
Answer:
y = 2x - 7
Step-by-step explanation:
(1,-5) (2,-3)
y2 - y1 / x2 - x1 -3 - (-5) / 2 - 1 2/1 = 2
y = 2x + b
-3 = 2(2) + b
-3 = 4 + b
-7 = b
Brianna made a design with chalk on the playground in the shape of a triangle. Two sides of the triangle measuring 5 feet and 8 feet meet at a 40° angle. What is the area of the triangle? Round your answer to the nearest tenth.
Answers
Answer:
12.9 ft²
Step-by-step explanation:
sin = opp/hyp
sin 40 = height/ 5
5 * sin40 = height
h = 3.213938048432697
--------------------
area = (1/2)bh
a = (1/2) * 8 * 3.213938048432697
a = 12.9 ft²
unit 1 geometry basics homework 2 segment addition postulate
Answers
The geometry questions attached are: UV = 67, x = 67, BD = 88, BC = 26 and CD = 61
What is meant by line segment?In contrast to a line, which can be extended endlessly on both ends, a line segment has endpoints.
An area or portion of a line with two endpoints is known as a line segment. A line segment has a set length as opposed to a line. Both metric measurements, such as millimeters and centimeters, as well as conventional units, such as feet or inches, can be used to measure the length of a line segment.
A line segment, in geometry, is a portion of a straight line that is constrained by two clearly defined end points and contains every point on the line that is situated in between those endpoints. The Euclidean distance between two line segments' ends determines the length of the segment.
5.)
UW = 6x - 35
UW = UV + VW (total length of a line segment)
UV = 19
VW = 4x - 20
6x - 35 = 19 + 4x - 20
simplifying the above equation, we get
6x - 4x = 19 - 20 + 35
2x = 34
x = 34 / 2
x = 17
UW = 6x - 35 = 6(17) - 35 = 67
6.)
HJ = 7x - 27
HJ = HI + IJ (total length of a line segment)
Substitute the values in the above equation, we get
7x - 27 = 3x - 5 + x - 1
simplifying the above equation, we get
7x - 3x - x = - 5 - 1 + 27
3x = 21
x = 21 /3
x = 7
7.)
BD = 7x - 10, BC = 4x - 29 and CD = 5x - 9
BD = BC + CD (total length of a line segment)
7x - 10 = 4x - 29 + 5x - 9
simplifying the above equation, we get
7x - 4x - 5x = - 29 - 9 + 10
-2x = - 28
x = 14
Therefore, the geometry questions attached are:
BD = 7(14) - 10 = 88
BC = 4(14) - 29 = 27
CD = 5(14) - 9 = 61
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Use the function to fill in the table.
g(x)=-3x+1
Answers
A pet store has 32 fish. It puts 8 fish in each tank.
How many tanks does the pet store have?
Enter your answer in the box. Remember this is division
Answers
Answer:4
Step-by-step explanation:
32 ÷ 8 = 4
4 x 8 = 32
Answer:
4 tanks
Step-by-step explanation:
Forming the equation,
→ x = 32 ÷ 8
Now required value of x will be,
→ x = 32 ÷ 8
→ [ x = 4 tanks ]
Hence, pet store has 4 tanks.
a circle with radius 2 is translated 5 units. what is the perimeter of the region swept out by the circle?
Answers
The perimeter of the region swept out by a circle with radius 2, when translated 5 units, remains the same at 4π or approximately 12.57 units.
When a circle is translated, its center is moved without changing its shape or size. In this case, the circle with a radius of 2 is translated 5 units. Since the translation is in a straight line, the shape swept out by the circle is a larger circle with the same radius.
The perimeter of a circle is given by the formula:P = 2πr
where P is the perimeter and r is the radius.
For the original circle with a radius of 2, the perimeter is:
P1 = 2π(2) = 4π
For the translated circle with the same radius, the perimeter is also:
P2 = 2π(2) = 4π
Therefore, the perimeter of the region swept out by the circle is the same as the perimeter of the original circle, which is 4π or approximately 12.57 units.
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I really need help with part a and b, please help. Incorrect answers will be downvoted, correct answers will be upvoted. 1. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is of a second. p=00.00040.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 0.0185 0.02420.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 a) Find the real discrete Fourier transform for this data set. (b) Any term in the Fourier series can be written: ak Cos(kwt)+bk sin(kwt) =ck Cos(kwt+$k) ak Find the ck's and plot their amplitude on a bar graph vs. k to illustrate the relative size of each term in the series. Explain the significance of the plot
Answers
(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.
(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.
To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.
Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.
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Find the area of thisirregular figure.9 ft8 ft15 ft26 ft
Answers
The area of the irregular figure will be equal to the sum of area of triangle and the area of the rectangle.
The required area can be determined as,
\(\begin{gathered} A=A_t+A_r \\ =(\frac{1}{2}\times8\text{ ft}\times9\text{ ft)+(15 ft}\times26\text{ ft)} \\ =36ft^2+390ft^2 \\ =426ft^2 \end{gathered}\)Thus, the required area of the irregular figure is 426 square feet.
Georgina’s bank account has a current balance of -$25.50. If she deposits $120 into the account each month, how much money will she have in the account after 4 months?
Answers
Answer:
After 4 months she will have $454.50.
Step-by-step explanation:
4 x $120 = $480
$480 - $25.50 =$454.50
Answer:
$454.50
Step-by-step explanation:
I NEED EMERGENCY HELP HELP HELP HELPI WILL MARKKK YOU BRAINLIST
Answers
Answer:
D. 68+(6x+4)=180
x = 18
Step-by-step explanation:
"Supplementary angles" are angles that add up to 180°
So we add the twi angles 68+(6x+4) and that equals to 180°.
68 + 6x + 4 = 180
add 68 and 4
72 + 6x = 180
subtract 72.
6x = 108
divide by 6.
x = 18
please help!! I really need help please help
Answers
Answer:
Step-by-step explanation:
Second answer: Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.
Third answer: The transitive property of equality formula is given as follows: If x = y and y = z, then x = z. Where x, y and z belongs to the same category elements. For example, if “x” represents the measurement of a line segment, then y and z should represent the measurement of the line segment.
Fourth answer: Congruent segments are segments that have the same length. ≅ Points that lie on the same line are called collinear.
14x7= ?
Base ten block
Answers
Answer:98
Step-by-step explanation:
Answer:
14x7= 98
Step-by-step explanation:
for multiplication, think about if there are 9, 10 base blocks and 8, 1 base block
please help asap! thank you so much! Select the correct answer.
What is the complete factorization of x2 + 4x - 45?
OA. (x + 15)(x-3)
OB. (x-9)(x+5)
OC. (x + 9)(x-5)
OD.
(x- 15Xx+3)
Answers
the answer is C. (x+9)(x-5)
Answer:
The answer is C :)
Step-by-step explanation:
Consider a Nash-demand game in which the players divide a resource of size 3. (a) Formally, state the best response functions for both players. (b) Graphically, use the best response functions to find all Nash equilibria. (c) Which of the Nash equilibria are strict? (d) Does either player have a strictly dominated strategy? (e) Does either player have a weakly dominated strategy? If so, which are the weakly dominated strategies?
Answers
The best response functions for both players in the Nash-demand game where players divide a resource of size 3 are formally stated. The presence of strictly dominated strategies for either player is examined.
In the Nash-demand game, the best response functions for both players can be formally stated by determining each player's optimal strategy given the other player's strategy. The best response functions represent the actions that maximize each player's payoff given the other player's action.
Graphically, the best response functions can be plotted to find all Nash equilibria, which are the points where both players are playing their best responses simultaneously. The intersections of the best response functions indicate the Nash equilibria in the game.
Among the Nash equilibria obtained from the best response functions, the strict Nash equilibria are those where both players' strategies are strictly optimal, meaning there are no alternative strategies that yield higher payoffs for either player.
The presence of strictly dominated strategies for either player is examined to determine if there are strategies that are always inferior to other available strategies, regardless of the other player's choices.
The existence of weakly dominated strategies for either player is analyzed to identify any strategies that are always weakly inferior to other available strategies. If weakly dominated strategies exist, they are specified.
By addressing these questions, we can gain a comprehensive understanding of the best response functions, Nash equilibria, strict Nash equilibria, and the presence of dominated strategies in the Nash-demand game with resource division.
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When we are computing a simple linear regression line, there are certain conditions that must be met for this model to be valid. One of these conditions is the equal spread condition. Which of these answers best explains how we check to make sure that this condition is met? a. Make sure there is similar spread around the sample mean of x. b. Make sure there is similar spread around the line at each value of x.
c. Make sure that there is similar spread around the sample mean of y. d. Make sure all outliers are only below the line.
Answers
The answers that best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.
How we check to make sure that this condition is met?The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.
To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.
Therefore the correct option is C.
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Write a 2-column proof
Given: BD is an angle bisectir
Prove: m
m
m
Answers
The measure of the angle ABD for the given angle bisector is found as 40°.
What is termed as the angle bisector?A ray, line, or segment which divides a specified angle into two equal angles is known as an angle bisector. When something is bisected or bisectioned, it is split into two equal sections. In geometry, the ray, lines, or segment that divides a particular angle into two equal pieces is described as the angle bisector.For the given question;
BD is an angle bisector
Thus, both angles will be equal.
3x + 25 = 7x + 5
Solve the relation.
4x = 20
x = 5
The measure of angle ABD = 3x + 25
angle ABD = 3×5 + 25
angle ABD = 15 + 25 = 40
Thus, the measure of the angle ABD for the given angle bisector is found as 40°.
To know more about the angle bisector, here
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