Answer:
25 + y
Step-by-step explanation:
It looks like you might be missing some information.
Please, someone, help me?
The equation that represents the total amount is y = 50(4+x).
What is Equation:The mathematical statement that shows two mathematical terms have equal values is known as an equation. An equation simply states that two things are equal.
Equations contain both constant terms and algebraic terms which are combined by operations like Adding and subtraction etc.
Here we have
An electrician charges a callout fee of $ 200 and $ 50 per hour
Given that the total amount charged is y for x hours
As we know the electrician charges $ 50 per hour
=> The charge per x hours = 50x
And callout fee = $ 200
The equation that represents the above situation is
=> y = 200 + 50x
=> y = 50(4+x)
Therefore,
The equation that represents the total amount is y = 50(4+x)
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What is the equation of the circle shown on the graph
The equation of the circle shown on the graph is (x + 2)² + (y - 1)² = 4.
What is an equation of a circle?
A circle can be characterized by its centre's location and its radius's length.
Let the center of the considered circle be at the (h, k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
The center of the circle is at (-2, 1) and the radius of the circle is 2 units. Then the equation of the circle will be
(x - (-2))² + (y - 1)² = 2²
(x + 2)² + (y - 1)² = 2²
(x + 2)² + (y - 1)² = 4
Hence, the equation of the circle shown on the graph is (x + 2)² + (y - 1)² = 4.
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what is the square root of -75 in simplified form
Answer:
5[tex]\sqrt{3}[/tex]i
Step-by-step explanation:
[tex]\sqrt{-5(5)(3)}[/tex] You can pull out a 5 and you are left with [tex]\sqrt{-1}[/tex] and [tex]\sqrt{3}[/tex].
The [tex]\sqrt{-1}[/tex] = 1
5[tex]\sqrt{3}[/tex] i
Answer: [tex]5\sqrt{3} i[/tex]
Step-by-step explanation:
The square root of -75 is not a real number, because it is not possible to find a real number that when squared results in a negative number.
In mathematics, the square root of a number is defined as the number that, when multiplied by itself, equals the original number. For example, the square root of 4 is 2, because 2 x 2 = 4. Similarly, the square root of 9 is 3, because 3 x 3 = 9.
However, it is not possible to find a real number that, when squared, results in a negative number. This is because any real number multiplied by itself is always positive, regardless of whether the original number was positive or negative. For example, the square of -2 is 4, because (-2) × (-2) = 4, which is a positive number.
Double however, complex numbers are used to represent numbers that have a non-zero imaginary component, such as the square root of -1. Complex numbers are written in the form a + bi, where a and b are real numbers and i represents the imaginary unit.
Therefore, the square root of -75 can be written in simplified form as [tex]5\sqrt{3} i[/tex], where [tex]i[/tex] is the imaginary unit. This represents a complex number with a real component of 0 and an imaginary component of [tex]5\sqrt{3}[/tex].
Two angles form a linear pair, the sum of one angle plus 27 is equal to two times the sum of the other angle
The pair of Linear angles are 51° and 129°.
What are Linear Angles:When two lines intersect at a point then they will form two linear angles. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles.
In other words, if the sum of two adjacent angles is 180° then the pair of angles are said to be Linear Angles.
Here we have
Two angles form linear angles
Let x and y be the two angles
=> x + y = 180 ------ (1) [ since both are linear angles ]
Given that the sum of one angle plus 27 is equal to two times the sum of the other angle
=> x + 27 = 2y
=> x = (2y - 27) ---- (2)
Substitute (2) in (1)
=> 2y - 27 + y = 180
=> 3y = 153
=> y = 153/3
=> y = 51
Now substitute y = 51 in (1)
=> x + 51 = 180
=> x = 180 - 51
=> x = 129
The pair of Linear angles are 51° and 129°.
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David says that a triangle with side measures 9 cm, 12 cm, and 17 cm is a right triangle. Susie says it is not. Who is correct? Explain
your reasoning.
12 cm
17 cm
9 cm
Susie is correct as it is not a right triangle
How to prove the nature of the triangle?According to Pythagoras theorem, In a right triangle ,the square of the hypotenuse side in a right-angled triangle equals the sum of the squares of the other two sides.Here let the hypotenuse side = 17 (longest )
Square of the hypotenuse side = 289
Squares of the other two sides = 12 * 12 = 144
=9 * 9 = 81
Sum of the squares of the other two sides = 144 + 81
= 225
So, here 225 ≠ 289
The square of the hypotenuse side of this triangle does not equal the sum of the squares of the other two sides. So this is not a right triangleThus, Susie is correct as it is not a right triangle.To learn more about Pythagoras theorem, refer:
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A recent survey, 35 percent indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of ten people and ask them to name their favorite flavor of ice cream. a. How many of those in the sample would you expect to name chocolate? b. What is the probability exactly four of those in the sample name chocolate? c. What is the probability four or more name chocolate?
a. You would expect 3.5 of those in the sample to name chocolate.
b. The probability exactly four of those in the sample name chocolate is 0.2438.
c. The probability four or more name chocolate is 0.5829..
a. If 35% of people in the general population indicate that chocolate is their favorite flavor of ice cream, then we would expect 35% × 10 = 3.5 people in a sample of 10 to name chocolate as their favorite flavor. Since we cannot have a fractional number of people, we can round this down to 3 people.
b. The probability that exactly 4 people in a sample of 10 name chocolate as their favorite flavor can be calculated using the binomial distribution. The probability of each individual event (i.e., a person naming chocolate as their favorite flavor) is 0.35, and there are 10 total events. The probability of exactly 4 successes (people naming chocolate as their favorite flavor) is given by the formula:
(10 choose 4) × ([tex]0.35^4[/tex]) × ([tex]0.65^6[/tex])
Where "choose" denotes the binomial coefficient, and the exponent indicates the number of times each event occurs. Plugging in the values, we get:
(210) × (0.0036125) × (0.274625) = 0.2438
So the probability that exactly 4 people in the sample name chocolate as their favorite flavor is approximately 0.2438.
c. To calculate the probability that 4 or more people in the sample name chocolate as their favorite flavor, we can use the same formula as above, but sum the probabilities for each possible number of successes greater than or equal to 4. For example, the probability of 4 successes is given by:
(10 choose 4) × ([tex]0.35^4[/tex]) × ([tex]0.65^6[/tex])
The probability of 5 successes is given by:
(10 choose 5) × ([tex]0.35^5[/tex]) × ([tex]0.65^5[/tex])
And so on. Summing the probabilities for each possible number of successes greater than or equal to 4, we get:
0.2438 + 0.1933 + 0.1047 + 0.0380 + 0.0081 = 0.5829
So the probability that 4 or more people in the sample name chocolate as their favorite flavor is approximately 0.5829.
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10. use the division algorithm to divide 116 by 3, and then, based on your work, determine which of the following statements is true. (a) q
By using the division algorithm to divide 116 by 3 will be 38.
The given integers a and b are 116 and 3 respectively.
Let q be the counter variable and r be the variable to store the new dividend after each loop.
Division algorithm,
If a<b
return 0;
else
q = 0;
r = a;
repeat
q = q+1;
r = r-b;
until r<b;
return q, r;
Working:
116 is not less than 3, implies
r = 116 -3 = 113
q = 0+1=1
Repeating until we get q = 38, r = 2 = a
2<3, hence returns q = 38, r =2
The question is incomplete, the complete question is:
use the division algorithm to divide 116 by 3, and then, based on your work, determine which of the following statements is true.
(a) q = 39 (b) q =32 (c) q = 38
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Five standard (six-sided) dice are rolled, one at a time. What is the probability that
a. the first two dice show aces, and the next three do not?
b. two of the five dice show aces, and the other three do not?
The values of the probability in both scenarios are 0
How to determine the probabilitiesFirst two dice show aces, and the next three do not
From the question, we have the following parameters that can be used in our computation:
Experiment = rolling of dice
The outcome of an ace is not in the sample space of rolling a die
This means that the probability is 0.
Two of the five dice show aces, and the other three do not
Here, we have
Experiment = rolling of dice
The outcome of an ace is not in the sample space of rolling a die
This means that the probability is 0.
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A salesperson works at a car dealership and earns $20 per hour plus a $100 bonus for each car sold. The salesperson sells 8 cars and earns a minimum of $1,400 this week.
Which inequality represents the possible number of hours, x, the salesperson works this week?
Responses
100x+20≥1,400, where x≥13.8
100 x + 20 ≥ ≥ 1 , 400 , where x ≥ ≥ 13.8
100x+20≤1,400, where x≤13.8
100 x + 20 ≤ ≤ 1 , 400 , where x ≤ ≤ 13.8
20x+800≥1,400, where x≥30
20 x + 800 ≥ ≥ 1 , 400 , where x ≥ ≥ 30
20x+800≤1,400, where x≤30
The inequality which represents the possible number of hours , x, the salesperson works this week is 20x + 800 ≥ 1400 where x ≥ 30,
using equation formation steps.
What is an equation ?
In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation.
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
In given que,
minimum earning = $1400
The possible number of hours = x
No. of cars sold = 8
Price earned by sold cars = $800
Price earned per hour =$20
Price earned for x hours = $20x
So, the total amount = 20x + 800
The equation become 20x + 800 ≥ 1400
Solving inequality que,
20x >= 600
x ≥ 30
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Given the ellipse with equation substitute the x-values from the table into the equation to obtain y-values, rounded to the nearest integer.
The value of y when X value is -1 would be = -5
What is substitution equation method?The substitution equation method is the method of solving equation whereby a value is being simplified and substituted into the second equation to obtain the next unknown value.
From the given equation:
(x-2)²/16 - (y-4)²/9 = 1
Take X = -1 and substitute X for -1 into the given equation,
(-1-2)²/16 - (y-4)²/9 = 1
9/16 - (y-4)²/9 = 1
(y-4)²/9 = 9/16- 1
(y-4)²/9 = -7/16
Cross multiply
(y -4)² = 9(-7)/16
y²+16 = -63/16
16(y²+16) = -63
16y²+256 = -63
16y² = -319
y² = -319/16
y² = -20
y= -√20
y = -4.5
y = -5
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slope of a line perpendicular to y=-4x-7
Because the slope of the supplied line is -4, the needed slope of a line perpendicular to y=-4x-7 is 1/4.
What is slope of line?The slope of a line indicates its steepness. Slope is computed mathematically as "rise over run" (change in y divided by change in x). The slope of a line is its steepness as it goes from LEFT to RIGHT. Slope is the ratio of a line's rise, or vertical change, to its run, or horizontal change. The slope of a line is always constant (it never changes) no matter what 2 locations on the line you select. The slope-intercept form of an equation occurs when the equation of a line is stated in the form y = mx + b.
Here,
y=mx+c
m=-4
slope of a line perpendicular to y=-4x-7,
m1=1/4
The required slope of a line perpendicular to y=-4x-7 will be 1/4 as the slope of given line is -4.
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TRUE OR FALSE cedric needs to find the surface area of the triangular prism. there is a piece of information missing you need to find it before you can solve the problem.
It is true, we have to find the surface area of the triangular prism we have to find a piece of information that is missing.
In the given question we have to find the surface area of the triangular prism.
We have to follow the some step to find the surface area of the triangular prism.
Step 1: Calculate the values of b(1), b(2), and b(3), the triangle base's three sides. Additionally, calculate the values of h, the triangle base's height, and l, the prism's length (the length between the bases).
Step 2: Use the formula for calculating the area of a triangle (A=1/2bh), where b is one of b(1), b(2), or b(3), to determine the area of a triangular base (whichever one is perpendicular to h). Given that this region contains two triangle bases, multiply the result by two.
Step 3: Multiply the perimeter of a base triangle by the prism's length to find the area of its rectangular sides: A=(b(1)+b(2)+b(3))l.
Step 4: Combine the outcomes from steps 3 and 4. This is the surface area of the triangular prism.
Since the question is not clear so I have write the step to find the area of triangular prism. Using this method we can find the area of triangular prism.
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What is the image of (10,-6) after a dilation by a scale factor of 1/2 centered at the origin?
The image of (10,-6) after dilation by a scale factor of 1/2 centered at the origin is (-5,-3).
What is dilation?
A dilation is a function f from a metric space M into itself that, for any points x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is a positive real number. Such a dilatation is a resemblance of the space in Euclidean space.
Here, we have
Given
The image of (10,-6) after dilation by a scale factor of 1/2 centered at the origin.
We have to find the image after dilation.
The coordinates of an image (-10,-6), dilating the coordinate by 1/2 means reducing the image by multiplying each coordinate by the factor of 1/2.
Image = (1/2(-10), 1/2(-6))
Image = (-5,-3)
Hence, the image of (10,-6) after dilation by a scale factor of 1/2 centered at the origin is (-5,-3).
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Use the information to answer the question.
A spinner contains 10 equal-sized sections. The sections are colored red, green, black, or orange. The spinner is spun 50 times. The spinner
landed on:
• red 19 times
green 11 times
• black 4 times
orange 16 times
Based on these results, how many sections are most likely each color on the spinner? Enter the answers in the boxes.
Color Number of Spinner Sections
Red
Green
Black
Orange
The number of sections that are most likely on each color on the spinner are
Red = 4Green = 2Black = 1Orange = 3How many sections are most likely each color on the spinner?From the question, we have the following parameters that can be used in our computation:
Number of times the spinner is spun = 50 times
The outcomes are
Red = 19 timesGreen = 11 timesBlack = 4 timesOrange = 16 timesNumber of sections = 10
The section of each color is then calculated as
Color = Color outcomes/Number of times * Number of sections
Using the above as a guide, we have the following:
Red = 19/50 * 10 = 3.8
Green = 11/50 * 10 = 2.2
Black = 4/50 * 10 = 0.8
Orange = 16/50 * 10 = 3.2
Approximate
Red = 4
Green = 2
Black = 1
Orange = 3
The above represents the possible sections
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The triangle and the rectangle below have the same area.
Calculate the value of w.
Show your working.
Answer:5 cm
Step-by-step explanation:
Answer: w=2.5cm
Step-by-step explanation:
when solving for a right triangle, you need to to the length multiplied by the width and then divided by two. You then get (6*5)/2=30/2=15.
When solving for a rectangle, it’s the same, but without dividing by two. But you need them to be equal, and you already have the measure six.
So 5/2=2.5 therefore w=2.5cm.
A study is conducted to estimate the average difference in the cost of analyzing data using two different statistical packages. To do so, 15 data sets are used. Each is analyzed by each package, and the cost of the analysis is recorded. These observations result: (a) Find the set of difference scores subtracting in the order package I minus package II. (b) Find d and Sd(c) Find a 90% confidence interval on the mean difference in the cost of running a data analysis using the two packages.
The null hypothesis cannot be rejected.
Given that,
A study is done to determine the average cost difference between utilizing two different statistical tools to analyze data. 15 data sets are used to do this. Each program performs an analysis on each, and the cost of the analysis is noted.
To test if cost is same, we test mean difference of scores =0
H0: d=0
H0: d != 0
z0 = 0-(-05467) / 0.039976
= 1.367
z score for alpha = .05 is 1.96
Since, z0 < z score, we cannot reject the null hypotheses
Therefore, the null hypothesis cannot be rejected.
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In the gymnastics competition, Jill earned nine and six-sevenths points. Alice earned eight and two-thirds points. How many more points did Jill earn than Alice?
Answer:
[tex]\boxed{1.1914285714285713}[/tex]
Step-by-step explanation:
Jill earned a total of 9 + 6/7 = <<9+6/7=9.857142857142857>>9.857142857142857 points.
Alice earned a total of 8 + 2/3 = <<8+2/3=8.666666666666666>>8.666666666666666 points.
Therefore, Jill earned 9.857142857142857 - 8.666666666666666 = <<9.857142857142857-8.666666666666666=1.1914285714285713>>1.1914285714285713 more points than Alice. Answer: \boxed{1.1914285714285713}.
Alice earned approximately 1.19 points more than Jill.
To find the difference between the number of points earned by Jill and the number of points earned by Alice, we need to first convert both amounts to a common denominator.
Since the denominators of the fractions representing the number of points earned by Jill and Alice are different, we will need to find a common denominator. To do this, we can find the least common multiple (LCM) of 7 and 3, which is 21.
We can then rewrite the fraction representing the number of points earned by Jill as 9 + 6/7 = (9 * 3 + 6)/21 = 27/21 + 6/21 = 33/21, and the fraction representing the number of points earned by Alice as 8 + 2/3 = (8 * 7 + 2)/21 = 56/21 + 2/21 = 58/21.
To find the difference between the number of points earned by Jill and the number of points earned by Alice, we can subtract the number of points earned by Alice from the number of points earned by Jill:
33/21 - 58/21
We can simplify this expression by combining like terms:
(33 - 58)/21 = -25/21
This represents a difference of -25/21 points, or approximately -1.19 points. Since a negative difference represents a smaller quantity, this means that Alice earned approximately 1.19 points more than Jill.
Given figure below as well as the fact that a is parallel to b what is the value of x?
Answer:
17
Step-by-step explanation:
The value of x from the angles between given parallel line is 17.
What are consecutive angles in between two parallel lines?Consecutive angles lie along the transversal, both angles will always be on one side of the transversal, and they'll either both be inside the parallel lines or outside the parallel lines (interior or exterior angles, respectively). Consecutive angles are always supplementary if the transversal crosses parallel lines.
From the given figure, we have two angles 2x+5 and 8x+5.
As we know, sum of consecutive angles is 180°
Now, 2x+5+8x+5=180
10x+10=180
10x=170
x=17
So, 2x+5=39° and 8x+5=141°
Therefore, the value of x from the angles between given parallel line is 17.
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A
college student takes out a $7,500 loan from a bank. What will the balance of the loan
not made any payments yet) if the bank
be after one year (assuming the student has not made
charges 3.8% interest each year?
The balance of the loan (not made any payments yet) of the bank
be after one year charges 3.8% interest each year is; $7785
How to calculate the interest amount with a given rate and time?There are mainly two types of interest. One which works only on principal(or say initial) amount, and one which works on amount plus interest to be paid till date.
For 1 year case, if interest is applied annually, both interests are same since there is no interest before first year.
For 1 year, interest with R% rate for principal amount P is just R% of P which is; (P/100) * R
We are given that R = 3.8% each year
Since P = $7500, thus, interest for 1 year is 3.8% of $7500 is;
I = 7500/100 * 3.8
I = $285
Thus, total payable amount = Principal amount + interest
Total amount = $7500 + $285 = $7785
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barttleby rework problem 17 from section 5.1 of your text, involving the production of basketballs. assume that the number of defective basketballs produced is related by a linear equation to the total number produced. suppose that 7 defective balls are produced in a lot of 275, and 14 defective balls are produced in a lot of 375. find the number of defective balls produced in a lot of 600 balls.
the number of defective balls produced in a lot of 500 balls is 26 when 7 defective balls are produced in a lot of 275, and 14 defective balls are produced in a lot of 375
what is linear equation ?A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
calculation
let y be the number of defective basket balls
x be the total number of basketball produced
let y1 = 12 , x2 = 200
y2 = 19 , x2 = 350
since its given that no. of defective basketballs produced is related by a linear equation to the total no. of produced we have
y = mx +c
m = 19 - 12 / 350 - 200 = 7/150
y = 7x/150 + c
put x = 200 , y = 12
12 - 7 * 200/ 150 = c
c = 8/3
y = 7x /150 + 8 /3 ...........1
no. of defective balls produced in a lot of 500 balls
y (500) = 7*500/150 + 8/3
= 70/3 + 8 /3 = 78/3 = 26
the number of defective balls produced in a lot of 500 balls is 26 when 7 defective balls are produced in a lot of 275, and 14 defective balls are produced in a lot of 375
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se the following information for questions 31-34: The average GPA for all college students in the United States as of 2006 was 3.11. We want to test to see if the GPA of students at Texas A&M is higher than the national average. Suppose we survey 47 randomly selected students at Texas A&M and the average GPA is 3.27, with a standard deviation of 0.54. Assuming all conditions are met, conduct a hypothesis test at the 0.01 significance level.
Which of the following below best describes the p-value?
a. p value = 0.0424
b. 0.02 < p-value < 0.025
c. p-value = 0.9788
d. 0.04 < p-value < 0.05
e. p-value = 0.0212
The best option which describes the p-value is 0.02 < p-value < 0.025.
We know that for the p-value method,
Z = (Sample Mean - Population Mean) / (standard deviation/sqrt (number of selections))
The average GPA for all the college students in the United States as of 2006 = 3.11 (Sample Mean)
The average GPA of randomly selected students at Texas A&M
= 3.27 (Population Mean)
Number of students randomly selected = 47
Standard deviation of them = 0.54
Therefore, Z = (3.27-3.11)/ (0.54/ sqrt(47)) = 2.031
Hence, by right tailed test,
p = 0.024
which implies, 0.02 < p-value < 0.025.
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i don’t who’s reporting this question but stop, this question isn’t even my question i’m trying to help someone else out by posting it for them. can someone answer this and the two other questions i posted today too?
Answer:
a) 1 degree above
b) 4 degrees below
c) 12 degrees above
d) 7 degrees above
Step-by-step explanation:
7. Julian tracks his progress on his reading
quizzes over a period of four weeks. Which
list shows his scores from greatest to least?
WEEK 4
WEEK 1 WEEK 2 WEEK 3
9
17
20
10
A. Week 3, 4, 1, 2
B. Week 2, 1, 3, 4
C. Week 4, 3, 1, 2
D. Week 2, 1, 4, 3
75%
0.65
The list that shows his scores from greatest to least is B. Week 2, 1, 3, 4
How to illustrate the number?From the information, Julian tracks his progress on his reading quizzes over a period of four weeks. The list is given below:
Week 1 = 17
Week 2 = 20
Week 3 = 10
Week 4 = 9
It should be noted that we want to arrange from greatest to lowest. This will be 20, 17, 10 and 9. Therefore, the correct option is B
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The population of Kingsfield grew from 7,500 to 9,000
in one year. During the same time the population of
Queensville dropped from 32,000 to 25,600. Let the
original populations represent year 1. If these percentage
rates of decline and growth continue, during what year will
Kingsfield have a larger population than Queensville?
The time that it will take for Kingsfield to have a larger population than Queensville is given as follows:
3.58 years.
How to model the populations?The rates of decline and growth are constant, meaning that the populations for each town are modeled by exponential functions.
The rates for each town are given as follows:
Kingsfield: 9000/7500 = 1.2.Queensville: 25600/32000 = 0.8.Considering the initial population, the exponential functions for the population of each town after t years are given as follows:
Kingsfield: y = 7500(1.2)^t.Queensville: y = 32000(0.8)^t.Kingsfield will have a larger population than Queensville when:
[tex]7500(1.2)^t > 32000(0.8)^t[/tex]
Hence:
[tex]\left(\frac{1.2}{0.8}\right)^t > \frac{32000}{7500}[/tex]
(1.5)^t > 4.27
tlog(1.5) > log(4.27)
t > log(4.27)/log(1.5)
t > 3.58 years.
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Use spherical coordinates. Evaluate
âˆB(x2+y2+z2)2dVâˆB(x2+y2+z2)2dV,
where B is the ball with center the origin and radius 1.
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer: 2.795
Step-by-step explanation:
[tex]cos 56= \frac{x}{5}[/tex]
What is the slope of a line that is perpendicular to a line whose equation is 3y=-4x+2?
The slope of a line that is perpendicular to a line whose equation is; 3y = -4x + 2 is; 3 / 4.
What is the slope of a line that is perpendicular to a line whose equation is; 3y = -4x + 2?As evident in the task content is; the given equation is; 3y = -4x + 2.
To determine the slope of the given line; the equation can be expressed in slope-intercept form by dividing through by; 3.
y = -4/3x + 2/3
On this note, by comparison with the slope-intercept form of a linear equation; the slope, m is; -4/3.
Therefore, since the product of the slopes of perpendicular lines equal; -1;
The slope of the required line which is perpendicular to the given line can be determined as follows;
Slope of perpendicular; m = -1 ÷ (-4/3)
= -1 × 3 / -4
= -3 / -4
= 3/4.
On this note, the slope of the line perpendicular to the given line is; 3 / 4.
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given a binary-class classification problem in which the class labels are binary, the dimension of feature is d, and each attribute can take k different values. please provide the numbers of parameters to be estimated with and without the simplifying assumption. please explain your answer. briefly justify why the simplifying assumption is necessary.
For binary class classification, assumptions are necessary in a way:
Given that
From Boyer Naive classifier,
We evaluate (ai | vj) is given below
(ai | vj) = n(e) + m(p) / n + m
Here,
m = equivalent sample size
n(e) = number of training examples
for which v = vj and a = ai
n(i) = number of training example for which v = vj
P = a prior estimate for P(ai | vj)
Here, we calculate that
P(SUV | yes), P(Red | yes), P(Domestic | yes)
P(SUV | no), P(Red | no), P(Domestic | no)
We evaluating this value like
yes:
RED : SUV: DOMESTIC:
n = 5 n = 5 n = 5
n(c) = 3 n(c) = 1 n(c) = 2
P = 0.5 P = 0.5 P = 0.5
m = 3 m = 3 m = 3
Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.
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evaluate f(x)=(3x-1)(2x+10), what is f(2)=
Thee value of the function f(2) is 70
What is a function?A function can be defined as an expression, law or rule that stands to explain the comparison between two variables.
These are namely;
The independent variableThe dependent variableFrom the information given, we have the function as;
f(x)=(3x-1)(2x+10)
To determine the value of the function when x = 2, we have to substitute the value of x as
Now, substitute the value into the function, we have;
f(2) = (3(2) - 1 )(2(2) + 10)
expand the bracket
f(2) = (6 -1)(4 + 10)
Add or subtract the values
f(2) = (5)(14)
Multiply the values, we have
f(2) = 70
Hence, the value is 70
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use theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 4 8 1 4 27 1 4 64 1 4 125
The given p-series 1 + (1/[tex]\sqrt[4]{2^{3} }[/tex]) + (1/[tex]\sqrt[4]{3^{3} }[/tex]) + (1/ [tex]\sqrt[4]{4^{3} }[/tex])+ (1/ [tex]\sqrt[4]{5^{3} }[/tex]) is divergent as the value of is equal to 3/4 ⇒p < 1.
As given in the question,
Given p-series is equal to :
1 + (1/[tex]\sqrt[4]{2^{3} }[/tex]) + (1/[tex]\sqrt[4]{3^{3} }[/tex]) + (1/ [tex]\sqrt[4]{4^{3} }[/tex])+ (1/ [tex]\sqrt[4]{5^{3} }[/tex])
As value of 1³ = 1 and fourth root of 1³ is equal to 1.
We can substitute 1 = (1 /fourth root of 1³) which is equal to
= (1/ [tex]\sqrt[4]{1^{3} }[/tex] ) + (1/[tex]\sqrt[4]{2^{3} }[/tex]) + (1/[tex]\sqrt[4]{3^{3} }[/tex]) + (1/ [tex]\sqrt[4]{4^{3} }[/tex])+ (1/ [tex]\sqrt[4]{5^{3} }[/tex])
Apply nth formula we get,
= [tex]\sum\limits^\infty_0 {\frac{1}{\sqrt[4]{n^{3} } } }[/tex]
⇒ p = 3/4
And 3/4 < 1
⇒ p < 1
⇒P-series is divergent.
Therefore, as the value of p =3/4<1 the given series 1 + (1/[tex]\sqrt[4]{2^{3} }[/tex]) + (1/[tex]\sqrt[4]{3^{3} }[/tex]) + (1/ [tex]\sqrt[4]{4^{3} }[/tex])+ (1/ [tex]\sqrt[4]{5^{3} }[/tex]) is divergent.
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