The domain of the function 5h + 2d = 15 is [0, 3].
What is domain and range of a function?
The collection of values that can be plugged into a function's domain are called its parameters. The x values for a function like f are contained in this collection (x).
The collection of numbers that the function assumes is known as its range. The values that the function outputs when we enter an x value are in this set.
5h + 2d = 15
2d = 15 - 5h
d = (15 - 5h)/2
For h = 0, d = 15/2 = 7.5
For h = 1, d = (15 - 5)/2 = 10/2 = 5 miles.
For h = 2, d = (15 - 10)/2 = 5/2 = 2.5 miles.
For h = 3, d = (15 - 15)/2 = 0 miles
The domain of the function is [0, 3].
Thus,
The domain is [0, 3].
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jackson pays 24.00 for 4 pounds of grapes. How many will he pay for 10 pounds of grapes?
Please explain and solve! I would appreciate it :) I’ll give brainly.
Answer:
Step-by-step explanation: We can solve it by doing a cross multiplication, basically finding the X, which is how much he'd pay for 10 pounds:
24 ------- 4
x ---------- 10
You can read this as "if 24 dollars is 4 pounds, how many dollars is 10?"
Anyways, so we multiply on a "X" shape, like this:
4x = 24 x 10
The equation will look better if you multiply the X first.
CONTINUING:
4x = 24 x 10
4x = 240
x = 240/4
x = 60
Therefore, Jackson would pay 60 dollars for 10 pounds of apples.
We could also do this by finding out first how many pounds of apples you can get with 1 dollar, we would do the same thing as before, but now looking for the pounds, not the dollars:
24 ------- 4
1 --------- X
24x = 4
x= 4/24
x= 0,166
So you can buy 0,16 pounds of apples with 1 dollar, so if we want to find out how much we can buy with 24 dollars we multiply 0,166 by 24, which is 3,984, approximately 4 pounds.
But since working with small numbers is quite odd sometimes, I recommend you do this equation with the first method I mentioned.
Suppose that a desktop computer system consists of a monitor, a mouse, a keyboard, the computer processor itself, and storage devices such as a disk drive. Most computer system problems due to manufacturing defects occur soon in the system’s lifetime. Purchasers of new computer systems are advised to turn their computers on as soon as they are purchased and then to let them run for a few hours to see if any problems crop up. Let
A=Event that a newly purchased monitor operates properly.
B=Event that a newly purchased mouse operates properly.
C=Event that a newly purchased disk drive operates properly.
D=Event that a newly purchased computer processor operates properly.
Suppose that the four events are independent, with
P(A)=P(B)=0.98, P(C)=0.97, P(D)=0.99
Find the following probabilities:
All 4 components are working properly.
All components are working properly except for the monitor.
The monitor or the processor operates properly.
SHOW ALL YOUR WORK and Round your answers to nearest four decimal places.
The answers to each part is mentioned above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a desktop computer system consists of a monitor, a mouse, a keyboard, the computer processor itself, and storage devices such as a disk drive.
It is assumed that -
A = Event that a newly purchased monitor operates properly.B = Event that a newly purchased mouse operates properly.C = Event that a newly purchased disk drive operates properly.D = Event that a newly purchased computer processor operates properly.P(A) = P(B) = 0.98, P(C) = 0.97, P(D) = 0.99.{ 1 } -
P{All 4 components are working properly} = (0.98 + 0.98 + 0.97 + 0.99)/4 = 0.98
{ 2 } -
P{All components are working properly except for the monitor} =
(0.98 + 0.97 + 0.99)/4 = 0.735
{ 3 } -P{The monitor or the processor operates properly} =
(0.98 x 0.99)/2
0.49
Therefore, the answers to each part is mentioned above.
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A right-circular cylindrical water tanker supplies water to colonies on the outskirts of a city and to nearby villages. Each colony has a cuboidal water tank. In villages, people come with matkas (spherical clay pots) to fill water for their household.
i) How many colonies in total would one full tanker be able to supply?
ii) If a tanker supplies water to 3 colonies and then goes to a village where 400 people fill their matkas, roughly how much water is supplied by the tanker in all? Give your answer in m3
(i) one full tanker would be able to supply 5 colonies?
(ii) The tanker supplied 155.51 m³ of water in all
How to calculate how many colonies in total would one full tanker be able to supply?The volume of a cylinder can be calculated using the formula:
V = πr²h
where r and h are the radius and height of the cylinder
Thus, volume of tanker = π * 1² *70 = 70π m³
The volume of a cuboid can be calculated using the formula:
V = Length (L) × Width (W) × Height (W)
volume of cuboidal water tank = 7 * 2 * 3 = 42m³
The volume of sphere can be calculated using the formula:
V = 4/3 πr³
where is the radius of the sphere
r = 42/2 = 21 cm = 0.21 m
volume of spherical clay pots = 4/3 * π * 0.21³ = 0.012348π cm³
(i) Number of colonies = Volume of tanker/Volume of cuboidal tank
Number of colonies = 70π/42 = 5 colonies
(ii) Quantity of water = (3 * Volume of cuboidal tank) + (400 * volume of matkas)
Quantity of water = (3 * 42) + (400 * 0.012348π)
Quantity of water = 126 + 29.51
Quantity of water = 155.51 m³
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How many solutions does the system of linear equations represented in the graph have? Coordinate plane with one line that passes through the points 0 comma 3 and 3 comma 4 and another line that passes through the points 0 comma negative 2 and 3 comma negative 1.
The number of solutions that the system of equations has is given as follows:
The system of linear equations represented in the graph have
No solutions.
How to obtain the number of solutions?The first step in obtaining the number of solutions of the system of equations is obtaining the linear function that represents each line.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope.
b is the y-intercept.
here, we have,
The first line goes through these following points:
(0,3) and (3,4).
The slope is given by change in y divided by change in x, hence:
slope = 3
When x = 0, y = 3,
hence the intercept is of b = 3
and the function is given as follows:
y = 3x - 3
The second line goes through these following points:
(0,-2) and (3,-1).
Hence the slope is of:
m = 3
The intercept is of b = -2,
and the equation is given as follows:
y = 3x-2.
Hence the solution is obtained as follows:
3x - 3=3x-2.
i.e.
The system of linear equations represented in the graph have
No solutions.
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3. Choose one of the two themes from #1 on which to create a thematic time line. Write the theme below. Answer: Theme: ______________________________________ (25 points) 4. Write the five time line entries below for the theme you chose in #3. For each entry, write a short paragraph that explains why you included the event on your time line. Answer: • Event 1: _____________________________________________________________________________ Rationale:
Theme: The Evolution of the Internet
• Event 1: The Launch of the ARPANET in 1969
Rationale: The ARPANET was the first successful implementation of what is now known as the Internet. It was a research project sponsored by the U.S. Department of Defense, and its goal was to develop a way for researchers to share information and resources electronically. The launch of the ARPANET marked the beginning of the Internet as we know it today, and set the stage for its future development and widespread use.
• Event 2: The Creation of the World Wide Web in 1989
Rationale: The World Wide Web, created by Tim Berners-Lee, was a major turning point in the history of the Internet. It allowed for the easy sharing and exchange of information and resources, and paved the way for the creation of modern websites. The World Wide Web quickly became the most popular way to access the Internet, and it remains so to this day.
• Event 3: The Commercialization of the Internet in the 1990s
Rationale: The commercialization of the Internet marked a significant shift in the way it was used and perceived. As more and more businesses and organizations began to see the potential of the Internet as a tool for commerce and communication, its popularity exploded. This led to the creation of new businesses and services, as well as the development of new technologies to support the growing demand.
What is a theme?A theme is the overarching message or claim about a subject that all of a story's or poem's components come together to create.
A story's topic is significant because it plays a role in the author's motivation for crafting the narrative. The author utilizes his story as a vehicle to communicate a message to readers that he wants to get through.
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help
The functions f(x) and g (x) are defined below.
f(x) = 3/4(2)^x
g(x) = 18x - 60
What is the difference in the x values for the two points where f(x)= g(x)?
A. 48
B. 4
C. 36
D. 2
Answer:36
Step-by-step explanation:
15 Answer:
A local gym charges nonmembers $10 per hour to use the tennis courts.
Members pay a yearly fee of $300 and $4 per hour for using the tennis
courts. Write an equation to find how many hours, h, you must
use the tennis courts to justify becoming a member.
16 Answer:
Solve the equation in question #15 for the value of h.
17 Answer:
You are designing a web page for your school's biology club. You want
to include photos of the members on the page, which has a width of
640 pixels. You've decided that the left and right margins should be 24
pixels each and the space between each picture should be 16 pixels.
How wide can each picture be to fit four across the width of the page?
The inequality that will models the given scenerio is -
x > 21.5 hours.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that A local gym charges nonmembers $10 per hour to use the tennis courts. Members pay a yearly fee of $300 and $4 per hour for using the tennis courts.
We can write the inequality as -
10x + 4x > 300
14x > 300
x > 21.5
Therefore, the inequality that will models the given scenerio is -
x > 21.5 hours.
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K
If a 42 gal hot water tank holds 350 lb of water, what weight of water will a 59 gal tank hold?
A 59 gal tank hold will hold lb of water.
(Round to the nearest whole number as needed.)
A 59 gal water tank hold will hold 492 lb of water.
How much water would a 59 gal tank hold?The first step is to determine how many lb of water a 1 gal hot water tank can hold. In order to determine this value, divide 350 by 42.
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
Weight of water in a 1 gal water tank = 350 / 42 = 8.333 lb
Now, multiply the value gotten in the previous step by 59.
Weight of water in a 59 gal water tank = 8.333 x 59 = 492 lb
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504/36 in simplest form
Answer:
14/1
In my opinion it is the answer .
Thankyou .........!
Work out the following sheet,please
NUMBER 25: the values of x and y are 53° and 78° respectively
NUMBER 26: the values of x and y are 55° and 125° respectively
How to find the values of x and y?Angle geometry is a branch of mathematics that deals with the study of angles and their properties in two-dimensional figures such as circles, triangles, and polygons.
NUMBER 25
x = 53° (alternate angles)
x + y + 49° = 180° (sum of angles in a triangle is 180°)
53 + y + 49 = 180
y + 102 = 180
y = 180 - 102
y = 78°
NUMBER 26
y = 125° (corresponding angles)
x + y = 180° (sum of angles on a straight line is 180° )
x + 125 = 180
x = 180 -125
x = 55°
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need help very badly thank you
Answer:
a) 08:30 b) 07:54 c) 26 minutes
Step-by-step explanation:
a) Bus leaves Church Street at 07:59. Bus Station times are at 07:40, 08:30 and 9:20. 07:40 is 9 minutes is earlier then 07:59 (07:59 > 07:40) therefore its 08:30.
Answer: 08:30.
b) If Jo has to get there at 8.30am, the time of the latest bus she can take is the one at 08:44. 07:04 is too early and so is 07:54.
Answer: 07;54
c) Lets use the bus that comes to School Road at 08:04 to make it easier. The bus will arrive at 08:30 at Bus Station. Focus on the minutes, not hours. 30 - 4 = 26, meaning it will take 26 minutes from School Road to the Bus Station.
Answer: 26 minutes
P.S (Let me know if I may have made a mistake, because I did it multiple times)
The following table contains data about the height and weight of ten giraffes.
height (m) weight (kg)
5.42
1273
4.45
1257
4.53
1152
4.29
1059
3.96
1070
5.42
1260
5.64
1310
3.74
1046
4.45
1139
4.11
1084
Give an estimate of the height of a giraffe that weighs 1184
kg.
Give your answer rounded to two decimal places. Do not include the unit.
Height of giraffe that weighs 1184 kg = 4.74
What is linear regression?Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.
Given,
Table for the height and weight of giraffe
height weight(kg)
5.42 1273
4.45 1257
4.53 1152
4.29 1059
3.96 1070
5.42 1260
5.64 1310
3.74 1046
4.45 1139
4.11 1084
If height is x and weight is y
Linear regression equation
y = A + Bx
By the using calculator(calculations are attached below)
y = 137.30504x + 533.25952
If weight is 1184
1184 = 137.30504x + 533.25952
x =( 1184 - 533.25952)/137.30504
x = 650.74048/137.30504
x = 4.73937796
Rounded to two decimal places
Height x = 4.74
Hence, 4.74 is the height of 1184 kg giraffe.
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Find p and ,q if X1 = 17, n1 = 25, X2 = 28, and n2 = 80
The solutions are given below:-
Part (a),
X₁ + X₂ have distribution Bi(n₁+n₂, p)
Part (b),
P(X ₁+ X₂ = 1 | X₂ = 0) = np(1-p)ⁿ¹⁻¹
P(X₁+X₂ = 1| X₂ = 1) = (1-p)ⁿ¹
P(X₁ + X₂ = 1) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹
What is binomial distribution?Since both variables are independent but they have the same probability parameter, you can interpret that as if the experiment that models each try in both variables is the same.
When you sum both random variables together, what you obtain as a result is the total amount of success in n₁+n₂ tries of the same experiment, thus X₁+X₂have distribution Bi(n₁ + n₂, p).
b)
Note that, if X₂ = k, then X₁ +X₂ = 1 is equivalent to X₁ = 1-k. Since X1 and X₂ are independent, then P(X₁ +X₂ = 1| X₂ = K) = P(X1=1-k|X₂=k) = P(X₁ = 1-k).
If k = 0, then this probability is equal to P(X₁ = 1) = np(1-p)ⁿ¹⁻¹
If k = 1, then it is equal to P(X₁ = 0) = (1-p)ⁿ¹
Thus,
P(X₁+X₂ = 1) = P(X₁+X₂ = 1| X₂ = 1) * P(X₂=1) + P(X₁+X₂ = 1| X₂ = 0) * P(X₂ = 0) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹.
The complete question is given below.
Let X1 and X2 be two random variables following Binomial distribution Bin(n1,p) and Bin(n2,p), respectively. Assume that X1 and X2 are independent.
(a) The mgf of binomial distribution Bin(n, p) is (1 − p + pet)n. Use this fact to obtain the distribution of X1 + X2.
(b) Find the probability P(X1 + X2 = 1|X2 = k) for k = 0 and 1. Then use the law of total probability to find P (X1 + X2 = 1)
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What is 2+2???????????
PLEASE HELP ME I NEED TO KNOW
Answer:
2plus 2 is 4 you are jocking
Answer:
in the adjoining figure,pqrs is parallelogram.find the value of smr
A savings account deposit of $8,500 is made on April 1 and kept on deposit for 3 months. The account earns 5.4% annual interest, compounded quarterly. What amount of interest is earned on the deposit for three months?
Answer:
The amount of interest earned on the deposit for three months would be calculated using the compound interest formula. This formula takes into account the principal, the rate of interest, and the length of time the deposit is kept on deposit. Using these factors, the amount of interest earned on the deposit for three months would be approximately $139.14.
Step-by-step explanation:
Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 65 minutes. Billy could mow the lawn by himself in 15 minutes less time that it would take
Bobby. How long would it take Bobby to mow the lawn by himself?
It would take Bobby
(Round to the nearest minute.)
minutes to mow the lawn by himself.
Bobby around 131 minutes and Billy around 111 minutes
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. 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, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
To solve the problem it is important to raise equations regarding what happens.
They tell us that Billy (Bi) and Bobby (Bo) can mow the lawn in 60 minutes. That is to say that what they prune in a minute is giving as follows:
1 / Bo + 1 / Bi = 1/60 (1)
They say Billy could mow the lawn only in 20 minutes less than it would take Bobby, therefore
1 / Bi = 1 / (Bo-20) (2)
Replacing (2) in (1) we have:
1 / Bo + 1 / (Bo-20) = 1/60
Resolving
(Bo - 20 + B0) / (Bo * (Bo-20) = 1/60
120 * Bo - 1200 = Bo ^ 2 - 20Bo
Rearranging:
Bo ^ 2 - 140Bo -1200 = 0
Now applying the general equation
Bo = 130.82 or Bo = 9.17, this last value cannot be because Billy took 20 minutes less and neither can he prune faster than the two together, therefore Bobby only takes around 131 minutes and Billy around 111 minutes
Checking with equation 1:
1/131 +1/111 = 1/60
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Enter your answer and show all the steps that you use to solve this problem in the space provided. Write the steps in solving 7 + 8 x = − 33. Justify each step with an appropriate property.
Answer: x=(-5)
Step-by-step explanation:
7+8x=-33
8x=-40
x=-5
A wildlife foundation wants to estimate the population of the grey wolf in the Northern Rockies. They tag 100 grey wolves with an identifier. Over the next six months, they gather five samples of 20 grey wolves each and record how many have an identifier tag. The results are shown in the table. Sample Number of Tagged Grey Wolves 1 1 2 2 3 2 4 1 5 2 Based on these results, how many grey wolves should they estimate live in the Northern Rockies? (Hint: Find the mean number of tagged wolves observed in the samples and treat this as the true mean for a sample of 20 wolves. Then use proportional reasoning to predict the total number of wolves in the region.) about __ grey wolves
From the result that we have here the total number of grey wolves is given as 32
How to solve for the number of grey wolvesTo estimate the population of the grey wolves in the Northern Rockies, we need to find the average number of tagged grey wolves in each sample of 20 and use that as a estimate for the population.
The mean number of tagged wolves in the five samples is:
(1 + 2 + 2 + 1 + 2) / 5 = 8 / 5 = 1.6
This means that, on average, 1.6 wolves out of 20 have a tag. We can use this information to estimate the total population of the grey wolves in the Northern Rockies:
(1.6 tagged wolves per sample of 20) * (total number of grey wolves / 20) = total number of tagged grey wolves
Multiplying both sides of the equation by 20, we find:
total number of grey wolves = (1.6 tagged wolves per sample of 20) * 20 = 32 grey wolves
So, we estimate that there are approximately 32 grey wolves in the Northern Rockies.
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Please help !!!
Question 3
(Multiple Choice)
(05.04 MC)
Determine the solution to the inequality.
|4x - 4| ≥ 8
-
X < -1 or x ≥ 3
X < -2 or x ≥ 3
X < -3 or x 24
X < -4 or x 24
im not sure how to put lines underneath some of them so
< = less then or equal too.
The solution to the inequality is -1 ≥ x ≥ 3
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
|4x - 4| ≥ 8
Remove the absolute bracket
So, we have
-8 ≥ 4x - 4 ≥ 8
This gives
-4 ≥ 4x ≥ 12
Divide through by 5
-1 ≥ x ≥ 3
Hence, the solution is -1 ≥ x ≥ 3
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Find the value of x. 148° to
The angles x and 148° are vertical angles and si the measure of the vertical angle x is equal to 148°.
What are vertically opposite anglesVertical angles also called vertically opposite angles are formed when two lines intersect each other, the opposite angles formed by these lines are vertically opposite angles and are equal to each other.
The angles 148° and x form vertical angles, so x = 148°
Therefore, since the angles x and 148° are vertical angles and and vertically opposite angles are equal, then the measure of the vertical angle x is equal to 148°.
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Answer: A
Step-by-step explanation: bc
Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]6\sqrt{3}[/tex]
Step-by-step explanation:
because of the 90-60-30 theorem
which [tex]6*\sqrt{3}=6\sqrt{3}[/tex]
Find m< c of this shape
The value of ∠C is 73 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the value of ∠C
the value of ∠A is 59 degrees and the value of ∠B is 48 degrees.
We know that from angle sum property the sum of three angles is 180 degrees.
∠A+∠B+∠C=180
59+48+∠C=180
107+∠C=180
Subtract 107 from both sides
∠C=180-107
∠C=73 degrees.
Hence, the value of ∠C is 73 degrees.
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Which statement best explains whether the following table represents a linear or nonlinear function?
x −2 −1 0 1 2
y −4 −2 0 2 4
The table represents a nonlinear function because there is not a constant rate of change in the input values.
The table represents a nonlinear function because there is not a constant rate of change in the output values.
The table represents a linear function because there is a constant rate of change in the input and output values. (this is the answer I finished the flvs quiz)
The table represents a linear function because there is not a constant rate of change in the input and output values.
The table represents a linear function because the rate of change is constant or all the points lie on a straight line.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables
From the given table it is noticed that the line passes through points (-1, -2), (0, 0), (1. 2), and (2, 4).
The slope of the line is
Slope = (2- 0)/1-0)
The slope of the line is. It means the value of y increased by 5 if the value of x increased by 2.
From the given points we can notice that the value of y increased by 5 if the value of x increased by 2. So, the function has the same slope for any two points.
Since the rate of change (slope) is the same for all points, therefore the table represents a linear function.
Therefore, If we plot these points on a coordinate plane and connect then we get a straight line. I mean it is a linear function.
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Help me please I beg
Answer: i use brainly.in for homework
Step-by-step explanation: all u have to do is times then divide the numbers
Jared used a survey to determine the political views of his 250 classmates. He randomly selected 40 students to complete the survey. The survey results showed that 10 of them do not belong to a major political party.
Based on these results, about how many of his 250 classmates do not belong to a major political party?
To estimate the number of classmates who do not belong to a major political party, we can use the proportion of students in the sample who do not belong to a major political party as a basis.
Out of the 40 students surveyed, 10 do not belong to a major political party, so the proportion is 10/40 = 0.25.
We can then multiply this proportion by the total number of classmates to estimate the number who do not belong to a major political party:
0.25 * 250 classmates = 62.5 classmates
So about 62 or 63 of the 250 classmates are estimated to not belong to a major political party.
Levin Furniture buys a living room set with a $5,800 list price and a 50% trade discount. Freight (FOB shipping point) of $45 is not part of the list price. What is the delivered price (including freight) of the living room set, assuming a cash discount of 3/10, n/30, ROG? The invoice had an April 8 date. Levin received the goods on April 19 and paid the invoice on April 25.
The delivered price (including freight) of the living room set is $2858.
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:
List Price = $5800
Trade discount = 50%
So, Price after discount
= $5800 - 50% x $5800
= 5800- 2900
= $2900
if Levin pays within 10 days he will have a discount of 3%, So,
3% x $2900
= $87
Thus, the Delivered price = $2900 -$87+ freight charges ( shipping)
= $2900 -$87 + $45 =$2858
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A study suggest 14.7% of all four digit personal identification numbers, or PIN codes, have a repeating digits format such as 2525. Assuming this to be true, if the PIN codes of four people are selected at random, what is the probability that at least one of them will have repeating digits?
The probability that at least one of the codes will have repeating digits is 0.4712.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Here, The probability of a pin being repeated is 14.7%
⇒ 14.7/100
After Eliminating the decimal point;
⇒ 14.7/100 = 147/1000
Hence,
The probability that a pin, if selected will have a repeating digit format = 147/1000
The probability of a pin not having repeating digits format is,
⇒ 1 - 147/1000
⇒ 853/1000
If four codes are selected at random (without replacement), the probability that all four of the codes will not have repeating digits format is,
⇒ (853/1000) x (852/999) x (851/998) x (850/997)
⇒ 0.5288
Thus, The probability that at least one of them will have repeating digits is,
⇒ 1 - 0.5288
⇒ 0.4712
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If an object is described as weighing 8.30 grams, then is this the exact weight of the object? If not, what can you say about the weight of the object? Explain your answer in detail. Give an interval for the exact weight.
The exact weight of the object is 83.0N
What is weight?Weight is the force with which a body is attracted toward the earth or a celestial body by gravitation and which is equal to the product of the mass and the local gravitational acceleration. Weight is a vector quantity and it is expressed as :
weight = mass × acceleration due to gravity
acceleration due to gravity is constant on a planet. On earth the acceleration due to gravity is 10m/s².
The mass of the object is 8.30grams
The weight of the object = 8.30 × 10 = 83N
Therefore the weight of the object with mass 8.30grams is 83.0N
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Without calculating which of the following is a reasonable answer for 28 times 32??which answer is right A or B or C or D pick one answer.
Without calculating, the following which is a reasonable answer for 28 times 32 is 896 and is therefore denoted as option C.
What is Multiplication?This is referred to as the process of combining matrices, vectors, or other quantities under specific rules to obtain their product and the symbol is (×).
We were given 28×32 which when expanded to get the product will give us 896 is therefore the reason why option C was chosen in this scenario.
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The options are:
© 196
® 496
© 896
0 12,096
erform the division and simplify. (In the second and third answer boxes, state any other restrictions on y not excluded by the domain of the expression in the first answer box. If there are no other restrictions, enter NONE.)
7y − 28/5y + 15 ÷ 4 − y/2y + 6
Answer:
I don't know if its right, but here's what I find.