The Y value can therefore be either positive or negative for every given X number, proving that this isn't a function.
Explain about the domain of the function?X is equal to why's absolute value, and we're looking for the domain. Remember that the domain is simply the set of all conceivable X values. As a result, when we look at the this equation, an absolute value sign just on y axis makes all negative numbers positive and all positive numbers, just that one number, positive.For the stated question:
Relation : x = b
Its absolute value of a negative is equal to the absolute amount of a positive alone.
Since zero's absolute value was only zero, all of the X values has to be positive or zero. Because if an exit value had a negative value, the absolute value sign could be in contravention of its rule.Therefore, the domain includes only positive numbers plus zero, and we can use any value for X to check whether or not it is a function. Let's assume that X is 20. 20 equals are available. the reason in its entirety Since we just observed that absolute value of the a negative number up above, y in this case may either equal only positive 20 and y can equal negative 20. This case's negative 20 is only 20, after all.Thus, the Y value can therefore be either positive or negative for every given X number, proving that this isn't a function.
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Choose the word or phrase that correctly completes the sentence.
Andrew wrapped his
sisters
sisteres'
sisters'
sister's
I don't know this yet.
present.
Answer:
answer is sister's.
Step-by-step explanation:
sisters mean more than one sister.
sisterses isn't a word.
sisters' also isn't a word.
sister's is a word and it means that she has possession of something or that she owns something.
Using the two data points from Exercises 1 and 2, write a linear equation that shows how the wind power would need to grow to make this goal. Use years for the independent variable and terawatt hours for the dependent variable. Let year 0 represent year 2012.
The linear equation that shows how the wind power would need to grow to make this goal is y = 25x + 15
How to determine the equation of the wind powerFrom the question, we have the following parameters that can be used in our computation:
(x, y) = (0, 15) and (5, 90)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 15
Using the other point, we have
5m + 15 = 90
So, we have
5m = 75
Divide by 5
m = 25
So, the equation becomes
y = 25x + 15
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Complete question
Using the two data points from Exercises 1 and 2, write a linear equation that shows how the wind power would need to grow to make this goal. Use years for the independent variable and terawatt hours for the dependent variable. Let year 0 represent year 2012, (0, 15) and (5, 90)
4 difference than the sum of g and 5
The expression for 4 difference than the sum of g and 5 is 4- (g+ 5).
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
4 difference than the sum of g and 5
writing the mathematical expression for the above we get
sum of g and 5
= g+ 5
and, 4 difference than the sum of g and 5
= 4- (g+ 5)
= 4- g- 5
= -g- 1
Hence, the expression is (-g-1).
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After Game 6 of the 2016 NBA Finals, Frank put down an even-money $100,000 bet on the Cavs to win Game 7 (and therefore, the championship). So, if the Cavs win, he wins $100,000, and if the Cavs lose, he loses $100,000. Suppose Frank has a logarithmic utility-of-wealth function: U(w) = ln(w), and his current wealth is $1,000,000 (one million dollars). Given that he accepted this bet, what can we determine about p, the probability with which Frank believes the Cavs will win Game 7? The goal of this problem is to figure this out. The subparts below will walk you through figuring this out
a) Write down an expression for Frank’s expected utility of wealth, as a function of p, if he takes the bet. [Remember to take into account his current wealth level as well as how winning or losing will change it.]
b) Frank’s other option is to reject the bet. What will his utility of wealth be if he rejects the bet?
c) If he accepts the bet, we know that the utility given for (a) must be larger than the utility given for (b). Write down and solve the inequality. You should be able to determine either a lower bound or upper bound for p, e.g. p ≤ 0.25 or p ≥.80.
d) Suppose Frank’s utility-of-wealth function was less curved, i.e. closer to a straight line. How would the bound from (c) change? Remember, the bound defines the range of possible probabilities p for him to accept the bet. Explain why it would be larger or smaller.
Frank's expected utility of wealth function if he takes the bet is U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000)). If Frank accepts the bet, the probability p must be greater than or equal to 0.8.
a) Frank's expected utility of wealth if he takes the bet is U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000))
b) If Frank rejects the bet, his utility of wealth will be U(w) = ln($1,000,000)
c) U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000)) ≥ ln($1,000,000)
p(ln($100,000)) + (1-p)(ln($900,000)) ≥ ln($1,000,000) - $1,000,000
p(ln($100,000)) + (1-p)(ln($900,000) - ln($1,000,000)) ≥ -$1,000,000
p(ln($100,000) - ln($1,000,000)) + (1-p)(ln($900,000) - ln($1,000,000)) ≥ -$1,000,000
p(ln($100,000/$1,000,000)) + (1-p)(ln($900,000/$1,000,000)) ≥ -$1,000,000
p(ln(0.1)) + (1-p)(ln(0.9)) ≥ -$1,000,000
p(ln(0.1)) ≥ -$1,000,000 - (1-p)(ln(0.9))
p ≥ (-$1,000,000 - (1-p)(ln(0.9)))/(ln(0.1))
p ≥ -$1,000,000/(ln(0.1)) - (1-p)(ln(0.9))/ln(0.1)
p ≥ 0.8
d) If Frank's utility of wealth function was less curved, i.e. closer to a straight line, the bound from (c) would be larger. This is because, with a less curved utility of wealth function, Frank would be less risk-averse and therefore more likely to accept the bet.
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Allonzo deposits $3000 into an account that pays simple interest at a rate of 2% per year. How much interest will he be paid in the first six years?
The interest will he be paid in the first six years is $360.
What is Simple Interest?Simple interest is the cost of borrowing money that does not take compounding into consideration. In other words, just the principal is affected by simple interest.
Formula: (P x R x T)/100
Given:
P= $3000
R= 2%
T = 6 years
Using Simple interest
= (P x R x T)/100
= ( 3000 x 2 x 6)/100
= 30 x 2 x 6
= $360
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Converting the raw data into a '_____' distribution is often a first step in making the data more manageable and easier to assess.
Converting the raw data into a 'frequency' distribution is often a first step in making the data more manageable and easier to assess.
A scatterplot is the most helpful graph for demonstrating the connection between two quantitative variables.
Data are listed in rising or decreasing numerical order in a raw data listing. The stem-and-leaf presentation gives more depth than the frequency distribution since it may explain individual data values as well as indicate how many are in each group, or stem.
Bins should have the same width and be mutually exclusive and exhaustive.
A scattergram is a graphical representation of the linkages or correlations that exist between two numerical variables (or covariables), which are shown as points (or dots) for each pair of scores. A scattergraph depicts the intensity and direction of the covariables' connection.
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Find j.
j
9 ft
10 ft
5 ft
O
N
M
L
K
Write your answer as a whole number or a decimal. Do not round.
j =
feet
The value of j in the triangle is 8.66 feet
How to determine the value of jThe complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
The right triangle
The value of j can be calculated using the following
tan(60) = j/5
So, we have the following representation
j = 5 * tan(60)
Evaluate
j = 5√3
This gives
j = 8.66
Hence, the value is 8.66 feet
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Round to 2 decimal places. 8 of the company’s trucks from their pool of 37 trucks needed brake maintenance. What percent of the truck pool needed brake maintenance?
Answer:
21.62%
Step-by-step explanation:
trucks needed maintenance = 8
truck's pool = 37
%age of the trucks needed maintenance
= (8 / 37) * 100
= 21.62%
Worth 25 points! Pls show work on both questions inside of the picture.
The area of the composite figure is 54 in².
The perimeter of the composite figure is 35 in.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
The composite figure has 3 shapes.
Triangle and 2 rectangles.
Now,
Base = 3 in
Height = 4 in
Area of the triangle.
= 1/2 x base x height
= 1/2 x 3 x 4
= 6 in²
Now,
Length = 5 in
Width = 4 in
Area of the rectangle.
= length x width
= 5 x 4
= 20 in²
Now,
Length = 4 in
Width = 7 in
Area of the rectangle.
= length x width
= 4 x 7
= 28 in²
Now,
Area of the composite figure.
= 6 + 20 + 28
= 54 in²
Now,
The perimeter of the composite figure.
= 12 + 7 + 4 + 3 + 5 + 4
= 35 in
Thus,
The area is 54 in².
The perimeter is 35 in.
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On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below.
x 0 1 2 3 4 5 Total
P(x) .04 .43 .29 .18 .05 .01 1.00
(a) Calculate the mean and standard deviation.
The mean of the data-set is given as follows:
E(X) = 1.8.
The standard deviation of the data-set is given as follows:
S(X) = 1.
How to obtain the mean and the standard deviation?The mean is given by the sum of all the outcomes multiplied by their respective probabilities, hence:
E(X) = 0 x 0.04 + 1 x 0.43 + 2 x 0.29 + 3 x 0.18 + 4 x 0.05 + 5 x 0.01
E(X) = 1.8.
The standard deviation is given by the square root of the sum of the difference squared between each outcome and the mean, multiplied by their respective probabilities, hence:
S(X) = sqrt[(0 - 1.8)² x 0.04 + (1 - 1.8)² x 0.43 + (2 - 1.8)² x 0.29 + (3 - 1.8)² x 0.18 + (4 - 1.8)² x 0.05 + (5 - 1.8)² x 0.01]
S(X) = 1.
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Y’all, I need help ;-; 14) Maya's cat eats 4 ounces of cat food each day. Maya bought a 26 pound bag of cat food.
How many 4- ounce servings are in the 26 pound bag?
A) 6
B) 224
C) 104
D) 416
joshua worked five hours,katleho worked for three hours and pevashnee worked for four hours if they paid R288 divide money between the three
Answer:
Step-by-step explanation:
5h + 3h + 4h = R288
12h = R288
h = R24
Josh, 5 hours at R24/hour = R120
Katleho, 3 hours at R24/hour = R72
Pevashnee, 4 hours at R24/hour = R96
Check your work: 120 + 72 + 96 = 288
a national opinion poll found that 44% of all american adults agree that parents should be given vouchers that are good for education at any public or private school of their choice. the result was based on a small sample.
A national opinion poll found that 44% of all American adults agree that parents should be given vouchers good for education at any public or private school of their choice.
The result is based on a small sample, and it is important to note that opinions can change quickly as more people become aware of the issue and as more information becomes available.
While the poll results are encouraging for proponents of school choice and educational vouchers, it is important to recognize that opinions can be subject to change. As the debate over school choice continues, more individuals may become aware of the issue and may form different opinions as they learn more about the issue.
Furthermore, more information and details about the issue may become available which could lead to individuals changing their opinions based on the new information. Additionally, opinions may also differ based on geographical location, as different areas may have different opinions on the issue. All of these factors should be taken into account when assessing the current opinion on educational vouchers.
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8n = 10.80 solve for n
Answer:
1.35
Step-by-step explanation:
10.80 divided by 8
n = 1.35
use the following building blocks to assemble a proof that if m and n are integers, and mn is even, then m is even or n is even. not all blocks belong in the proof. before you start, you might want to write out such a proof on paper, and carefully consider whether a direct proof, a proof by contraposition or a proof by contradiction is the most appropriate.
Proof: If mn is even, then either m = 2k/n or n = 2k/m for an integer k, meaning either m or n must be even.
The following is a direct proof:
Assume m and n are integers.If mn is even, then n must be even or m must be even.We will show that if mn is even, then either m is even or n is even.Suppose mn is even.Then, there exists an integer k such that mn = 2k.This can be written as m = 2k/n or n = 2k/m.Since k is an integer, it follows that either m or n must be even.Thus, if mn is even, then either m is even or n is even.This completes the proof.The proof shows that if m and n are integers and mn is even, then either m must be even or n must be even. The proof starts by assuming that m and n are integers and that mn is even. It then proceeds to show that one of the factors, either m or n, must also be even.
The proof uses the definition of an even number, which is a number that is divisible by 2, to conclude that if mn is even, then there must be an integer k such that mn = 2k. From this equation, the proof derives the expressions m = 2k/n or n = 2k/m. Since k is an integer, it follows that either m or n must be even, since the result of dividing an integer by another integer is also an integer.
The proof concludes by stating that if mn is even, then either m must be even or n must be even, based on the logical reasoning provided in the proof.
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Not sure how to do this help
The mid-point of segment AB is X. Ray XY is perpendicular to segment AB. Point L is on ray XY. By congruence of triangle, statements (C) point L is equidistant from point A and B.
What is the congruence of triangle?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.
Given that, The mid-point of segment AB is X. Ray XY is perpendicular to segment AB. Point L is on ray XY.
Draw the line segment AL and BL.
In Δ AXL and Δ BXL
AX is equal to BX
XL is common in both Δ
∠AXL is equal to ∠BXL because both are right angle.
So, Δ AXL ≅ Δ BXL
So AL = BL
So we say that point L is equidistant from point A and B.
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Eric has a riddle: "I am thinking of a fraction that is equivalent to
2
5
and the numerator is 18 less than the denominator."
What is Eric's fraction? Explain how you know.
Answer:
To obtain the fraction first we need to obtained the number. The number can be identified by using algebraic expression.
The fraction is .
Given:
The given fraction is .
Let the numerator is .
The numerator is 18 less than denominator is , the fraction is .
Write the algebraic expression as per question to find the number.
Calculate the fraction.
Thus, the fraction is .
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Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
assume top a, bottom b
so a/b =2/5
so a=2/5b
b=a+18 = 2/5b+18
so 3/5b = 18
b = 30
a=12
Solving inequality #4
25 points!!
Answer:
-5 <= x < 3
Step-by-step explanation:
The left end of the inequality is -5 with a closed circle so it has an equal sign with it
The right end of the inequality is 3 with an open circle so it will not have an equals sign.
The line is in the middle of the points so the variable is in the middle.
-5 <= x < 3
Answer:
The inequality shown is Interval Notation[tex] - 5 \leqslant y < 3[/tex]
Simplify
5x^2 - x + 9= [?]
x=3
[tex]5x^2-x+9[/tex] when x is equal to 3
Substitute for x with the given value(3):
[tex]5(3)^2-3+9[/tex]
[tex]5(9)-3+9[/tex]
[tex]45-3+9[/tex]
[tex]=\boxed{51}[/tex]
Answer:
it equals 231
Step-by-step explanation:
5x3 is 1515x15 is 225225-3= 222222+9=231Find the sum of (-0.3s - 2) + (5-3.4s) + (5r + 2)
The sum of the expression is 5r - 3.7s + 5.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
Given the expression,
(-0.3s - 2) + (5 - 3.4s) + (5r + 2)
-0.3s -2 + 5 - 3.4s + 5r + 2
arranging the variables and constants,
(-0.3s - 3.4s) + 5r + (- 2 + 5 + 2)
apply operations,
-3.7s + 5r + 5
5r - 3.7s + 5
Hence the simplified expression is 5r - 3.7s + 5.
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1. In which quadrant does the following point lie? (-2,1/2)
The required point (-2, 1/2) lies in the second quadrant of the coordinate plane.
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
The point (-2, 1/2) lies in the second quadrant of the coordinate plane.
In the second quadrant, the x-coordinates are negative and the y-coordinates are positive. Since the x-coordinate of the point (-2, 1/2) is negative and the y-coordinate is positive, it lies in the second quadrant.
Thus, the point (-2, 1/2) lies in the second quadrant of the coordinate plane.
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given a table of values of f(x) below, which table represents f-1(X)
The table that represents f⁻¹(x) in the attached figure
What is a function?A relation is a function if it has only One y-value for each x-value.
we know that, If (x,y) is a solution of f(x)
then (y,x) is a solution of f⁻¹(x)
In this problem, the ordered pairs in the table that represent f(x) are
(-2,11),(-1,8),(0,5),(1,2),(2,-1)
therefore, The ordered pairs that represent f⁻¹(x) are
(11,-2),(8,-1),(5,0),(2,1),(-1,2)
Hence, the table that represents f⁻¹(x) in the attached figure
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given a 14 , use the law of sines to solve the triangle (if possible) for the value of c. if two solutions exist, find both. round answer to two decimal places.
The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°
The sine rule is used to show the relationship between the sides and angles of a triangle. It is given as:
a/sinA = b/sinB = c/sinC
Where A, B, and C are the angles and a,b, and c are the opposite sides to the angles.
1)
A = 55°, a = 10. 1, b = 12. 3
10 / sin(55) = 12.3 / sinB
B = 86.01°
A + B + C = 180° (angle in triangle)
55 + C + 86 = 180
C = 39
10 / sin(55) = c / sin(39)
c = 7.68
The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°
The complete question is-
Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank. ) A = 55°, a = 10. 1, b = 12. 3
Case 1
B
C
c
Case 2
B
C
c
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For two linear functions f and g , (f+g)(x)=-6x-2 and (f-g)(x)=-2x+4 . Find( f(g(x)))
Need help ASAP!!
Answer:
(-6x-2)(2x+4)
-12x+24x-4x+6
=8x+6
please help!!!!!!!!!!
Answer:
Step-by-step explanation:
25 because when you take 2x times 3x +1
Q y r z s x+2 3x-8 solve for x
A)12
B)10
C)11
D)13
Answer:
ANSWER IS B
Step-by-step explanation:
erify that the following function is a probability mass function, and determine the requested probabilities. [give exact answers in form of fraction.]
The probability of x = 1 is 0.2,x = 2 is 0.3, x = 3 is 0.5
Let X be a random variable with the following probability mass function:
f(x) =
x = 1: 0.2
x = 2: 0.3
x = 3: 0.5
This is indeed a probability mass function because the values of f(x) are all greater than or equal to 0, and the sum of the values of f(x) is equal to
To calculate the probability of x = 1, we can use the formula for probability mass functions: P(X = x) = f(x).
Therefore, the probability of x = 1 is 0.2.
To calculate the probability of x = 2, we can use the same formula: P(X = x) = f(x).
Therefore, the probability of x = 2 is 0.3.
To calculate the probability of x = 3, we can use the same formula: P(X = x) = f(x).
Therefore, the probability of x = 3 is 0.5.
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complete question
What is the probability of x = 1, x = 2, and x = 3?
a = (2n)² n how is this neither arithmaric or geometric
The sequence is neither arithmetic nor geometric because it does not have a common difference or a common ratio
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
a = (2n)² n
For a sequence to be an arithmetic sequence, the sequence must have a common difference
For a sequence to be a geometric sequence, the sequence must have a common ratio
Using the above as a guide, we have the following:
The sequence is neither because it does not have a common difference or a common ratio
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1+1+1+1+1+1+1+1+1 x 2 x 2
Answer:
12
Step-by-step explanation:
1+1+1+1+1+1+1+1+1 x 2 x 2= 12
Answer:
12
Step-by-step explanation:
pls tell me if wrong have a good day/night<3
Kimberly scored a total of 35.08 points
in four events for her gymnastic
competition. If she scored the same
number of points in each event, how
many points did she score in each? Write
an equation to show your work.
Answer:
4p = 35.088.77 points in each eventStep-by-step explanation:
You want an equation and its solution for the scenario in which Kimberly scored 35.08 points in four gymnastic events, the same number in each event. You want to know her score in each event.
EquationIf p represents the number of points that Kimberly scored in each event, her point total is ...
4p = 35.08
SolutionDividing by the coefficient of p gives the solution:
p = 35.08/4 = 8.77
Kimberly scored 8.77 points in each event.