the table's depiction of the probability distribution for X And section an asks us to calculate the likelihood that X equals two. When X = 2, the chance of X = 2 is 0.15, and for B, we need to determine the likelihood of more than 3.
There are only two ways that X might be greater than three: X is equal to four, or X is equal to five, increasing the likelihood that X is greater than three. Therefore, the likelihood of being more than three is equal to the likelihood of being four. Additionally, the likelihood of being five, These probability are.03 and.02, which equals C. We are asked to determine the likelihood that X is equal to one. When X is, the probability that X will be one is.7, and we want to know the likelihood that X will be less than four. The options for X being one, two, or three or fewer than four.
Therefore, these have odds of.1,.15, and.7.The chance is 95 percent. Since you were asked to determine the mean for X for discrete random variables like this one, the mean is equal to the total of all possible values of X multiplied by the probability associated with each one. Therefore, that is once. 2 times 7 plus. Three times 15 plus. 1 and onward. And this equals 1.52; to find f, we must determine the discrete random variable X's standard deviation.
This formula, which also has this form for the standard deviation, can be used to represent the latter version of the standard deviation, which is the square root of one squared times. 7Thus, that is two times squared. 15 and onward. After completing the square root procedure, we deduct the principal squared, and the result is approximately 2.93–5. The goal of having X equal to at least two has not been achieved for G, as evidenced by the fact that the typical number of occupants for cars is 1.52.
Learn more about probability here
brainly.com/question/12226830
#SPJ4
A rocket is launched from the top of a building. The flight path is modelled by h = -4t2 + 16t + 24
where h is the height of the rocket from the ground in metres, and t is the time in seconds. What is the initial height of the rocket, when will the rocket hit the ground and what is the height of the rocket after 4 seconds
The initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The initial height of the rocket is given by the value of h when t = 0:
h(t)=-4t² + 16t + 24
h(0)=-4(0)² + 16(0) + 24
h(0)=24
So the initial height of the rocket is 24 metres.
The rocket will hit the ground when its height is 0 metres, so we can set h = 0 in the equation and solve for t:
0 = -4t²+ 16t + 24
-4t² + 16t + 24 = 0
t=-0.88 seconds
So the rocket will hit the ground after approximately 0.88 seconds.
The height of the rocket after 4 seconds is given by:
h(4)== -4(4)²+ 16(4) + 24
=-64+64+24
=24
So the height of the rocket after 4 seconds is 24 metres.
Hence, the initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ1
the graph of y = x^2 - 2 is drawn on the axes on the left. use the graph to estimate the values of x when y = 0
Therefore , the solution of the given problem of graph comes out to be x value is √2.
Describe graphs.Scholars use graphs to visually represent or chart facts or values in a logical way. Usually, a graph point will show the relationship of two or more objects. A graph is a non-linear storage structure made up of nodes, also known as vertices, and edges. The nodes, sometimes referred to as vertices, should be joined with glue. Vertices in this graph are 1, 2, 3, and 5, whereas edges are 1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Graphical depictions of exponential development in statistical charts.
Here,
Given :
=> y =x² -2
To find the value of x :
at y = 0
So,
=> 0 = x² -2
=>x² =2
=>x = √2
Thus, x value is √2.
Therefore , the solution of the given problem of graph comes out to be x value is √2.
To know more about graphs visit:
https://brainly.com/question/11950136
#SPJ1
Noah and Andre are 15 miles apart on a bike path when they start biking toward each other. Nosh rides at a constant speed of 4 miles per hour and Andre rides at a constant speed of 2 miles per hour. How long does it take until Noah and Andre meet?
The time that it will take until Noah and Andre meet is; 2.5 hours
How to solve Distance Time problems?Let t represent the time it would take for Noah and Andre to meet.
Formula to find distance is;
Distance = speed × time
Noah rides at a constant speed of 4 miles per hour. This tells us that the distance that Noah would cover in t hours is expressed as 4t.
Andre rides at a constant speed of 2 miles per hour. This tells us that the distance that Andre would cover in t hours is 2t
Since the total distance is 15 miles, then we can form the equation as;
4t + 2t = 15
6t = 15
t = 15/6
t = 2.5 hours
Read more about distance - time problems at; https://brainly.com/question/26046491
#SPJ1
The
equation C= 5.75b represents the cost. C, for b used books at Pickwick Books.
At Dickens Books, a customer can buy 3 used books for $16.50, with each book having the same price.
Who charges less per used book, and how much less? Move the correct name and dollar amount to the blanks to complete the sentence
charges less per used book. The cost is
Pickwick Books
Dickens Books
$0.15
$0.25
$0.35
The cost at Pickwick Books is $5.75 and the cost at Dickens Books is $5.50, so the books are cheapre in Dickens Books.
Who charges less per book?We know that the equation:
C = 5.75*b
Repersents the cost for b books at Pickwick Books.
Then the cost of each book there is $5.75
We also know that at Dickens Books, a customer can buy 3 used books for $16.50, then the cost of each book there is given by:
C = $16.50/3 = $5.50
So the books are cheaper, by $0.25, in Dickens Books.
Learn more about equations at:
https://brainly.com/question/18831322
#SPJ1
Which methods will determine 70% of 42?
Choose ALL correct answers.
A. Determine 1% of 42, and multiply the result by 70.
B. Determine 10% of 42, and multiply the result by 7.
C. Determine 1% of 42, and multiply the result by 7.
D. Determine 10% of 42, and multiply the result by 70.
The Correct answers are:
Determine 1% of 42, and multiply the result by 70.Determine 10% of 42, and multiply the result by 7.What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
We have to find 70% of 42.
So, first Determine 1% of 42, and multiply the result by 70.
= 42 x 0.01 x 70
= 29.4
second, Determine 10% of 42, and multiply the result by 7.
= 42 x 0.1 x 7
= 29.4
Third, Determine 1% of 42, and multiply the result by 7.
= 42 x 0.01 x 7
= 2.94
Fourth, Determine 10% of 42, and multiply the result by 70.
= 42 x 0.10 x 70
= 294
and, the 70% of 42 = 0.7 x 42 = 29.4
Thus, the correct statement are:
Determine 1% of 42, and multiply the result by 70.
Determine 10% of 42, and multiply the result by 7.
Learn more about Percentage here:
https://brainly.com/question/29306119
#SPJ1
One leg of a triangle has a length of 3m. The other sides have lengths that are consecutive integers find these lengths
The length of the other two sides are 4m and 5m
How to determine the lengthsUsing the Pythagorean theorem, we have that the square of the hypotenuse sides is equal to the sum of the squares of the other two sides of the triangle
This is represented as;
x² = y² + z²
From the information given, we have that;
z = 3m
x = x + 1
y = x
Substitute the values, we get
(x + 1)² = x² + 3²
Find the squares
(x + 1) ² = 9 + x²
expand the bracket
(x + 1) ( x + 1) - x² = 9
x² + x + x + 1 - x² = 9
collect like terms
2x = 8
x = 4
Then,
x + 1 = 5
x = 4
Hence, the values are 4m and 5m
Learn about triangles on:
https://brainly.com/question/14285697
#SPJ1
Driving speed s-4/s2-9s+20 miles per hour. Distance covers in s-5/4 hours
The value of distance cover is, 1/4 miles.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Driving speed = (s - 4) / (s²-9s+20)
And, Time = (s - 5) / 4
Now, We know that;
⇒ Speed = Distance / Time
⇒ Distance = Speed × Time
Substitute the given values, we get;
⇒ Distance = (s - 4) / (s² - 9s + 20) × (s - 5) / 4
⇒ Distance = (s - 4) / (s² - 5s - 4s + 20) × (s - 5) / 4
⇒ Distance = (s - 4) / (s (s - 5) - 4 (s - 5)) × (s - 5) / 4
⇒ Distance = (s - 4) / (s - 4) (s - 5) × (s - 5) / 4
⇒ Distance = 1/4 miles
Thus, The value of distance cover is, 1/4 miles.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ1
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. xy = 3, x = 0, y = 3, y = 5
The volume is found using cylindrical shells and rotating the region bounded by xy = 3, x = 0, y = 3, and y = 5 about the x-axis.
To find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis, we will use the method of cylindrical shells. First, we need to draw the graphs of the functions given. The graph of xy = 3 is a parabola, x = 0 is a vertical line, y = 3 is a horizontal line, and y = 5 is also a horizontal line. The region bounded by these curves is the area between x = 0, y = 3, and y = 5 and xy = 3. Next, we need to find the area of the cylindrical shell. The area of the shell is given by 2πrh, where r is the radius of the circle and h is the height of the shell. The radius of the circle is the distance from the x-axis to the curve, which in this case is x. The height of the shell is the difference between the upper and lower limits of the integral, which in this case is y2 - y1. We can then integrate the area of the shell over the range of x and y values to get the volume. The integral is ∫[0, 3]∫[3, 5]2π(x)(y2 - y1)dxdy. Finally, we can evaluate the integral to get the volume of the solid.
Learn more about volume here
https://brainly.com/question/28338582
#SPJ4
the barge b is pulled by two tugboats a and c. at a given instant, the tension in cable ab is 4500 lb and the tension in cable bc is 2000 lb. determine by trigonometry the magnitude and direction of the resultant of the two forces applied at b at that instant.
To determine the magnitude and direction of the resultant force applied at b, we can use vector addition of the tensions in cables AB and BC. Let's assume that the positive x-direction is to the right, and the positive y-direction is upwards.
We can represent the tension in cable AB as a vector T1 = 4500 lb in the direction of AB, and the tension in cable BC as a vector T2 = 2000 lb in the direction of BC.
The magnitude of the resultant force applied at b is given by:
R = √(T1^2 + T2^2) = √(4500^2 + 2000^2) = 5000 lb
The direction of the resultant force can be found using the arctangent function:
θ = tan^-1 (T2/T1) = tan^-1 (2000/4500) = approximately 39.2 degrees
Therefore, the magnitude and direction of the resultant force applied at b are 5000 lb and 39.2 degrees, respectively.
To know more about Trigonometry
https://brainly.com/question/25618616
#SPJ4
jenna takes the $27000 she recieved in profit at the end of the first year and saves 2/3 of her profit in her bank account. she converts the rest to euros to go on a trip to Belgium to gain additional inspiration for the restaurant. If the exchange rate is 1$CAD=0.6944 euros,how many euros does jenna have to spend?
which does not demonstrate the addition property of equality or the subtraction property of equality? multiple choice question. a) 16
Neither the addition property of equality nor the subtraction property of equality can be demonstrated by themselves. They are properties that must be satisfied by the operations of addition and subtraction respectively, in order for equality to hold.
The addition property of equality states that if two quantities are equal.
(a = b), then their sum with any other quantity (c) will also be equal (a + c = b + c). The subtraction property of equality states that if two quantities are equal (a = b), then their difference with any other quantity (c) will also be equal (a - c = b).
In other words, both properties say that when two quantities are equal, then the result of adding or subtracting the same quantity from both will also result in equal quantities.
To know more about Addition:
https://brainly.com/question/29464370
#SPJ4
Can some please help me
By solving a system of equations we will see that:
x = 39
y = 123
How to find the values of x and y?First, we know that the sum of the 3 angles on the bottom part should be equal to 180°, then we can write:
(x - 10) + y + (x - 11) = 180
And the angle on the top is a vertical angle to the one that measures y degrees, then:
3x + 6 = y
So we have a little system of equations:
(x - 10) + y + (x - 11) = 180
3x + 6 = y
Replacing the second equation into the first one, we get:
(x - 10) + (3x + 6) + (x - 11) = 180
5x - 15 = 180
5x = 180 + 15
x = 195/5
x = 39
And the value of y is:
3*39 + 6 = y
123 = y
Learn more about systems of equations at:
https://brainly.com/question/13729904
#SPJ1
Factor the simplified expression using the positive GCF: 10a + 5b + 3 - 25a + 2b - 18 + 3b - 5a
Using the greatest common factor (GCF), to simplify the expression we have: 5(-4a + 2b - 3)
What is a common factor?A common factor is either a number or term that is a common denominator to two or more given expressions. Thus can be used to simplify a given expression by factorization.
To factor the simplified expression, we have:
10a + 5b + 3 - 25a + 2b - 18 + 3b - 5a
collect like terms
10a - 25a - 5a + 2b + 5b + 3b + 3 - 18 = -20a + 10b - 15
So that the positive greatest common factor (GCF) of the simplified expression is 5.
-20a + 10b - 15 = 5(-4a + 2b - 3)
The required answer is 5(-4a + 2b - 3).
Learn more about common factor at https://brainly.com/question/25266622
#SPJ1
Solving inequalities #1
Inequality shown is -3 ≤ x < 2.
What is inequality ?Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Given,
Graph of inequality
Line drawn on the number line between circle on -3 and circle on 2.
Here, -3 < 2
If x is the variable, it is between -3 and 2
then, -3 < x < 2
The circle on -3 is filled which means value of x can be equal to -3
then inequality becomes,
-3 ≤ x < 2
Hence, -3 ≤ x < 2 is the inequality shown on the number line.
Learn more about inequality here:
https://brainly.com/question/30231190
#SPJ1
perimiter of a rectangle of 30x16
Answer: 92.0
Step-by-step explanation:
Calculating the perimeter of the rectangle. Perimeter of this rectangle = 2 * (length + width ) = 2 * (30.0 + 16.0) = 92.0 units
Answer: 92
Step-by-step explanation: To find the perimeter you add all four sides of the rectangle your equation should look like 30+30+16+16. Add 30+30 which is 60. Then 16+16 which is 32. Then add 60 plus 32 which equals 92.
Determine if the system has a nontrivial solution. Try to use as few row operations as possible. 4x1-6x2 + 13x3 = 0 -4x1-10x2-x3 = 0 8x1+4x2 +14x3 = 0 Choose the correct answer below. A. It is impossible to determine. B. The system has only a trivial solution. C. The system has a nontrivial solution.
The correct answer is option C. The system has a nontrivial solution.
One way to determine if a system has a nontrivial solution is to use Gaussian elimination to reduce the augmented matrix to row echelon form. If the row echelon form has a row of zeros except for the last entry in the augmented part, then the system has only a trivial solution.
If there is a row of zeros in the row echelon form that corresponds to a free variable, then the system has a nontrivial solution. In this case, it is possible to use Gaussian elimination to see that the row echelon form of the augmented matrix has a row of zeros except for the last entry in the augmented part, which is not zero, indicating that the system has a nontrivial solution.
Read more on nontrivial solution:
https://brainly.com/question/14699939
#SPJ4
You, are a loan officer at West Elm Savings and Loan. Mr. and Mrs. Brady are in your office to apply for a mortgage loan on a house they want to buy. The house market value of $209,900, the median price of a house in Champaign. Your bank requires 1/5 of the market value as a down payment.
The amount of the down payment, considering the median house price, is given as follows:
$41,980.
How to obtain the down payment?The down payment is obtained applying the proportions in the context of this problem.
A proportion is applied because the down payment is obtained with the multiplication of the median house price by the fraction.
The parameters are given as follows:
Fraction of 1/5.Median price of $209,900.Hence the down payment is obtained as follows:
1/5 x 209900 = $41,980.
Missing Information
The problem asks for the amount of the down payment, considering the median house price.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
The points Q (7, 6), R(-1,5), S(-5, -2), and T(3, -1) form a quadrilateral.
Find the desired slopes and lengths, then fill in the words that BEST identifies the type of quadrilateral.
The slope of QR is 1/8.
The length of QR is 8.06 unit.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
The points Q (7, 6), R(-1,5), S(-5, -2), and T(3, -1) form a quadrilateral.
A quadrilateral in geometry is a four-sided polygon with four edges and four corners.
The slope of QR,
= (5 - 6)/(-1-7)
= 1/8.
The length of QR = √{(5 - 6)² + (-1-7)²} = 8.06 unit.
Therefore, 1/8 is the slope and 8.06 unit is the length.
To learn more about the slope;
brainly.com/question/3605446
#SPJ1
Which set of numbers includes only integers?
A Venn diagram. A large box is labeled rational numbers. A box inside the rational numbers box is labeled integers. A box inside the integers box is labeled whole numbers.
Negative 5, negative 3 and one-fourth, 1, one-eighth
Negative 3, negative 2, 2, 3
Negative 6, negative 4, negative 2, negative one-half
One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0
The required set of numbers includes is given as {-3, -2, 2, 3}. Option B is correct.
What is set?Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.
Here,
Integers are whole numbers, both positive and negative, including zero. For example -4, -3, -2, -1, 0, 1, 2, 3, 4, etc. They are used to represent whole quantities and are a basic type of number in mathematics.
Thus, from the options set of numbers includes is given as {-3, -2, 2, 3}. Option B is correct.
Learn more about sets here:
https://brainly.com/question/8053622
#SPJ1
let $abcd$ and $bedf$ be two $2 \times 3$ rectangles that overlap, as shown. find the area of the overlap.
Let $abcd$ and $bedf$ be two $2 \times 3$ rectangles that overlap, the area of the overlap is 6 square unit.
The quantity of space occupied by a flat surface with a specific form is referred to as the area. It is calculated as a "number of" square units.
Given that we have to assume to rectangles
ABCD and BEDF
both have dimensions 2×3.
So the area of rectangles-
A=2(3)=6 square unit
Also given that both the rectangles overlap each other.
Since both the rectangle are of the same dimension so the overlapping area will be equal to their original area.
So the area of overlap- A=6 square unit.
Learn more about Area:
https://brainly.com/question/28957662
#SPJ4
Juan and Laura are 220 feet apart when they begin walking directly toward one another. Juan travels at a constant speed of 3.5 feet per second and Laura travels at a constant speed of 5 feet per second. How many seconds after Juan and Laura started walking will they reach each other?
The time it will take Juan and Laura to meet each other is 25.88seconds
What is velocity?Velocity is the rate of change of velocity with time. It is a vector quantity and it is measured in meter per second. It can also be measured in Mikes per hour and so on.
Velocity = displacement /time
displacement = velocity × time
The total distance traveled = 220feet
220 = v1t + v2t
220 = (v1+v2) t
220 = ( 3.5 + 5) t
220 = 8.5 t
divide both sides by 8.5
220/8.5 = t
t = 25.88 seconds
therefore it will take Juan and Laura 25.88 seconds to meet each other
learn more about Velocity from
https://brainly.com/question/25749514
#SPJ1
Please help me!! (30 points)
Answer:25.5
Step-by-step explanation:
64.5+90=154
180-154=25.5
Answer this please (50 points)
A an acute triangle
because all angles are less than 90
Answer: Acute Triangle
Step-by-step explanation:
Cole worked part-time at a amusement park. The amount of money Cole earned for each of six weeks is shown.
$45, $85, $43, $45, $37, $70
Cole then earned $30 for working a seventh week. How were the mean and median affected by working the seventh week?
F. The mean decreased at the median remained the same.
G. The median decreased and the mean remained the same.
H. The median and the mean both remained the same.
J. The mean and the median both decreased.
The solution is, J. The mean and the median both decreased.
What is mean?The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of values. The calculation can be done from raw data or for data aggregated in a frequency table.
here, we have,
The amount of money Cole earned for each of six weeks is shown.
$45, $85, $43, $45, $37, $70
i.e. mean = 54.16
now,
Cole then earned $30 for working a seventh week.
so, now, mean = 50.71
i.e. The mean decreased.
Hence, The solution is, J. The mean and the median both decreased.
To learn more on mean click:
brainly.com/question/8192279
#SPJ1
Analyze the graph below to identify the key features of the logarithmic function. Graph begins in the third quadrant near the line x equals negative 6 and increases rapidly while crossing the ordered pair negative 5, 0. The graph then begins to increase slowly throughout the second and first quadrants. Group of answer choices The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6. The x‐intercept is y = −5, and the graph approaches a vertical asymptote at y = −6. The x‐intercept is x = 5, and the graph approaches a vertical asymptote at x = 6. The x‐intercept is y = 5, and the graph approaches a vertical asymptote at y = 6.
The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6. Then the correct option is A.
How to draw the graph of the function?The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.
The x-intercept is at (-5, 0). Then the value of the abscissa is given as,
x = -5
The graph begins in the third quadrant near the line x = - 6. Then the equation x = - 6 represents the asymptote.
The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6. Then the correct option is A.
More about the graph of the function link is given below.
https://brainly.com/question/27757761
#SPJ1
Anthony bikes a 16.2-mile long trail. If he bikes it 4 times, how faw will he have traveled
64.8 miles will be the distance travelled by Anthony.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Anthony bikes a 16.2-mile long trail.
If Anthony bikes it 4 times we need to find how far Anthony traveled.
By means of multiplication we find the distance traveled by Anthony.
Multiplication is a method of finding the product of two or more numbers
Now multiply 16.2 with 4
16.2×4
64.8 miles
Hence, 64.8 miles will be the distance travelled by Anthony.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Nikhil and Mae work at the same company. Nikhil has been at the company 6 times as long as Mae. Nikhil's time at the company is 8 more than 4 times Mae's. The following system of equations models the scenario:
x = 6y
x = 8 + 4y
How many years has each person been employed by the company?
A) Nikhil has been with the company for 36 years, while Mae has been there for 6 years.
B) Nikhil has been with the company for 30 years, while Mae has been there for 5 years.
C) Nikhil has been with the company for 24 years, while Mae has been there for 4 years.
D) Nikhil has been with the company for 18 years, while Mae has been there for 3 years.
Nikhil has been with the company for 24 years, while Mae has been there for 4 years.
Option C is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 2 = 8 is an equation.
We have,
Number of years Nikhil worked = x
Number of years Mae worked = y
x = 6y ______(1)
x = 8 + 4y ______(2)
Substituting (1) in (2)
6y = 8 + 4y
Subtract 4y on both sides.
6y - 4y = 8
2y = 8
Divide 2 into both sides.
y = 4
Now,
x = 6y
x = 6 x 4
x = 24
Thus,
The number of years Nikhil worked is 24 years.
The number of years Mae worked 4 years.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ1
Why is the graph shown a line of best fit?
The points are evenly distributed above and below the line, which provides the best explanation for why the graph displays a line of best fit.
What is the regression line?A statistical tool that shows the relationship between two variables is a regression line. It is employed specifically when a change in one (the dependent variable) is dependent on a change in the value of the other (the independent variable).
Given the graph,
for the line of best fit, A graph's nodes are connected by a mathematical concept known as the line of greatest fit. It is a kind of linear regression that uses scatter data to determine how to best define the relationship between the dots.
A change in the value of X causes a change in the value of the equation, which is written as Y on X.
X on Y is the equation, and the deviation of the Y variable determines how the X variable changes.
The graph shows a line of greatest fit because the spots are equally spaced above and below the line.
Hence the points are drawn uniformly above and below the line, thus the best explanation is that the graph displays a line of best fit.
Learn more about regression line;
https://brainly.com/question/7656407
#SPJ1
(co 3) consider the following table: defects in batch probability 0 0.21 1 0.28 2 0.30 3 0.09 4 0.08 5 0.04 find the standard deviation of this variable.
The standard deviation of the given variable is 0.95.
The standard deviation is a measure of the amount of variation or dispersion of a set of values. It is calculated as the square root of the variance. The variance is calculated by subtracting the mean from each data point and squaring the result. The variance is then divided by the number of data points. The standard deviation for the given table can be calculated as follows:
Mean = [tex](0 * 0.21) + (1 * 0.28) + (2 * 0.3) + (3 * 0.09) + (4 * 0.08) + (5 * 0.04) = 1.92[/tex]
Variance = [tex](0 - 1.92)2 * 0.21 + (1 - 1.92)2 * 0.28 + (2 - 1.92)2 * 0.3 + (3 - 1.92)2 * 0.09 + (4 - 1.92)2 * 0.08 + (5 - 1.92)2 * 0.04 = 0.907[/tex]
Standard Deviation = √0.907 = 0.95
Therefore, the standard deviation of the given variable is 0.95.
Learn more about standard deviation here:
https://brainly.com/question/23907081
#SPJ4
to isolate a single variable when rearranging equations, move all other variables to the other side of the equation by using the opposite function on them and remembering to perform that operation on both sides of the equation . make sure the rearrangement has the target variab
Make that the target variable is in the numerator, not the denominator, of the rearrangement.
Variable
A variable is a placeholder sign for a varying quantity or other mathematical entity.
Move all other variables to the other side of the equation by applying the opposite function to them, keeping in mind to carry out that operation on both sides of the equation, in order to isolate a single variable when rearranging equations. Make that the target variable is in the numerator, not the denominator, of the rearrangement.
Move all other variables to the other side of the equation by applying the opposite function to them, keeping in mind to carry out that operation on both sides of the equation, in order to isolate a single variable when rearranging equations. Make that the target variable is in the numerator, not the denominator, of the rearrangement.
Know more about Variable
https://brainly.com/question/28248724
#SPJ4