The expression A' represents the statement for all of the elements which are not in set A.
What is Set?A set is a collection of well defined objects.
Given that A students wants to write an expression for all of the elements which are not in set A.
The elements within set A are denoted by A.
We have to find all of the elements which are not in set A.
U represents the universal set and A is the given set.
A'=U-A
Hence, the expression A' represents the statement for all of the elements which are not in set A.
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What is the value of f(x) = –x2 + 3 when x = 1?
S Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her money? First, determine what information you need to answer this question, then click here to display that info (along with other info). • How much water does Janine drink in a day? She normally drinks 6 bottles a day, each 16.9 ounces. How much does a bottle of water cost? She buys 24-packs of 16.9 ounce bottles for $3.99. • How much does a reusable water bottle cost? About $10. • How long does a reusable water bottle last? Basically forever (or until you lose it). . • How much does a water filter cost? How much water will they filter? o A faucet-mounted filter costs about $28 and includes one filter cartridge. Refill filters cost about $33 for a 3-pack. The box says each filter will filter up to 100 gallons (378 liters) o A water filter pitcher costs about $22 and includes one filter cartridge. Refill filters cost about $20 for a 4-pack. The box says each filter lasts for 40 gallons or 4 months • An under-sink filter costs $130 and includes one filter cartridge. Refill filters cost about $60 each. The filter lasts for 500 gallons. Which option is cheapest over one year (365 days)? faucet-mount filter The cheapest option saves her $ Give your answer to the nearest cent. Pro-rate the costs of additional filters (so if you only use part of a filter, only count the corresponding fraction of the filter cost) and pro-rate the cost of the bottled water (so if you only use part of a case, only count the cost for the portion of the case used). over a year.
Janine currently spends about $150.11 on bottled water every year.The total sum of the cost for the pitcher filter is $42. The sink filter costs $130
The first step in finding how much money Janine will save is to calculate how much water Janine drinks and how much bottled water costs her in one year.
To find how much money Janine currently spends on water, calculate the number of cases of water she buys each year (365 days / (24 bottles in a case/ 3 bottle per day) and multiply this number by the price per case ($3.29) to find that Janine currently spends about $150.11 on bottled water every year.To calculate the amount of water Janine drinks each year we multiply the amount she drinks in one day (3 bottles x 16.9oz per bottle) by 365 and then since there are 128 ounces in a gallon, we divide this number by 128 to find that she drinks 144.6 gallons of water each yearThe next step in this problem is to calculate the cost of each water filter in the first year. To find this, add the cost of the reusable water bottle, the cost of the filter, and the cost of any additional filters needed.
The faucet filter costs $28 dollars and includes a filter, plus each additional filter costs $11. Since the filter will last for 100 gallons, we can subtract that amount from the total water she drinks in a year to find the cost of filtering the remainder of the water in the year (144.6 gallons- 100gallons /$11). The total sum of the cost of the faucet filter and reusable water bottle in the first year is $42.91.The pitcher filter costs $22 and each additional filter costs $5. Since the included filter lasts 4 months, Janine will need two additional replacement filters for the other 8 months of the first year. The total sum of the cost for the pitcher filter is $42.The sink filter costs $130 and since the included filter will work for 500 gallons of water, Janine will not need to purchase additional filters in the first year. The total cost of the sink filter is $140.From these calculations, you can see that the pitcher filter is the cheapest option and will save Janine $108.11 in her first year of using this filter.Lastly the question asks you to pro-rate the cost of each filter
Since the faucet filters cost $11 each and filter 100 gallons of water, this filter costs 11 cents per gallon and $15.91 per year. She will have to begin replacing these filters approximately 8 months after the initial purchase of the filter.Filtering 40 gallons and costing $5 each the pitcher filter costs 12.5 cents per gallon and $18.08 per year. She will have to replace these filters every 4 months.The sink filter filters 500 gallons of water and costs $60, so it costs 12 cents per gallon and $17.35 per year. She will not have to replace this filter for about 3 and half years after the initial purchase.Learn more about cost at:
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Identify the domain and range of the following relation.
x y
-2 -4
1 3
0 0
1 4
4 6
-1 -2
Answer:
domain = - 2, 1, 0, 1, 4, - 1
range = - 4, 3, 0, 4, 6, - 2
Step-by-step explanation:
x is domain
y is range
Please help will mark Brainly
Answer: A) solution is 1
Step-by-step explanation:
The sum of two angles is 85, one angle is five more than the measure of the other angle. Write the equation that represents this scenario and find the measure of each angle. Be sure to show your
work.
Therefore , the solution of the given problem of angles comes out to be equation : x+ y =85°.
'
An angle is what?In Euclidean geometry, an angle is a shape that is made up of two rays, known as the tone's flanks, that meet at a midpoint known as such angle's vertex. Two rays may combine to form an angle there in plane where they are positioned. When two planes collide, an angular is also generated. They are referred to as dihedral angles. An angle in plane geometry is the possible configuration of two rays of lines that share a termination. The origin of the English term "angle" is the Latin phrase "angulus," which meaning "horn." The vertex is the point in which the two vectors, also known as that of the faces of the angle, converge.
Here,
Given :
Let two angles be x and y is
=> x+ y =85°
So, the equation is represented as x+ y =85°.
Therefore , the solution of the given problem of angle comes out to be equation : x+ y =85°.
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Four gallons of paint are used to paint 25 chairs. If each chair used the same amount of paint, how many gallons are used to paint each?
Answer:
0.16 or 0.2 if rounded
Step-by-step explanation:
4 gallons divided by 25 chairs equals 0.16 gallons for each chair
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4.3.3 Refer to Exercise 4.3.1. Suppose we select a simple random sample of five adults. Use Equation 4.3.2 to find the probability that, in the sample, the number of people who have been told that they have hypertension will be: (a) Zero (b) More than one (c) Between one and three, inclusive (d) Two or fewer (e) Fiv
The probabilities of the number of people told that they have hypertension, using the binomial distribution, are given as follows:
a) Zero: 0.2536 = 25.36%.
b) More than 1: 0.3461 = 34.61%.
c) Between one and three: 0.7331 = 73.31%.
d) Two or fewer: 0.9068 = 90.68%.
e) Five: 0.0008 = 0.08%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters for this problem are given as follows:
p = 0.24, n = 5.
Hence the probability for each outcome in the distribution is given as follows:
P(X = 0) = (1 - 0.24)^5 = 0.2536.P(X = 1) = 5 x 0.24 x (1 - 0.24)^4 = 0.4003.P(X = 2) = 10 x 0.24² x (1 - 0.24)³ = 0.2529.P(X = 3) = 10 x 0.24³ x (1 - 0.24)² = 0.0799.P(X = 4) = 5 x 0.24^4 x (1 - 0.24) = 0.0126.P(X = 5) = (0.24)^5 = 0.0008.Hence the missing probabilities are given as follows:
b) More than 1: 1 - (0.2536 + 0.4003) = 0.3461 = 34.61%.
c) Between one and three: 0.4003 + 0.2529 + 0.0799 = 0.7331 = 73.31%.
d) Two or fewer: 0.2536 + 0.4003 + 0.2529 = 0.9068 = 90.68%.
Missing InformationThe probability that a person has hypertension is given as follows:
p = 0.24.
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Rewrite 6 - 6 - 6 - 6 in exponential notation.
Rewriting 6-6-6-6 in exponential notation is -1.2×10¹
What is exponential notation?Exponential notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form.
When writing in exponential notation, it must be in standard l i.e writing in this format 3.577× 10⁴ not 35.77× 10³.
Though both of the expression are literally correct but 3.577× 10⁴ is the acceptable way of writing a scientific notation.
similarly 6-6-6-6 will give -12
writing -12 in exponential notation is -1.2×10¹
Therefore the exponential notation of 6-6-6-6 is -1.2×10¹.
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A pilot must log at least 1100 hours to fly an aircraft. Jabari logged 300 hours. How many more hours must he log to qualify
Answer: 800 more hours is required to fly an aircraft
Step-by-step explanation:
a local zoo has 900 pounds of bamboo to feed the giant panda. Each day, the giant panda eats 30 pound of bamboo. An accident happens and 125 pounds of the bamboo cannot be fed to the giant panda Determine the range of the number of days the zoo has more than 500 pounds of bamboo left.
The range of days to have 500 pounds left is 30 - 17.5 days
What is range?The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
For example the range in the ages 10,15,11,12,18 of students in a class is 18-10 = 8
The maximum days to feed the giant panda if the giant panda feeds on 30pounds per day is 900/30 = 30days
but due to accident 125 pounds are not good
Therefore the new pound of bamboo = 900- 125 = 875 pounds
The range of pounds when the minimum pound is 500 = 875-500 = 375 pounds
therefore no of days on 375 pounds = 375/30 = 12.5
Therefore the range of days to have more thanq 500 pounds = 30-12.5 = 17.5 days
The range of days the zoo has more than 500 pounds of bamboo is 30 - 17.5days
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Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
3
16
0.85
100
0.425
0.375
3
4
0.316
0.38
40
김
20
0.1875
We have mapped the correct equivalent expressions.
3/16 ⇒ 0.1875
0.85 ⇒ 17/20.
3/8 ⇒ 0.375.
0.425 ⇒ 17/40.
What is the equivalent expression?
An equivalent expression is a mathematical expression that has the same value as another expression but is written differently. Equivalent expressions can be obtained by using the properties of arithmetic such as the commutative, associative, and distributive laws.
3/16 can be described as 0.1875
0.85 can be described as 17/20.
3/8 can be described as 0.375.
0.425 can be described as 17/40.
Hence, we have mapped the correct equivalent expressions.
3/16 ⇒ 0.1875
0.85 ⇒ 17/20.
3/8 ⇒ 0.375.
0.425 ⇒ 17/40.
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true or false 3 times the speed will have 9 times the force of impact
Answer: true
Step-by-step explanation:
You bought a new laptop and paid an initial payment of $150 you will make 12 payments of $69.50 how much would the computer cost if your state tried to 6% sales tax
The cost of the computer if the sales tax is 6% is 924.96 dollars.
How to find the cost of the computer after sales tax?You bought a new laptop and paid an initial payment of $150. You will make 12 payments of $69.50.
The amount the computer cost if the your state charge 6% sales tax can be calculated as follows;
Install mental payment = 12 × 69.50
Install mental payment = 834 dollars
You already made payment of 150 dollars.
Therefore,
total payment including sale tax = 150 + 834
total payment including sale tax = 984 dollars
Sales tax = 6% of 984
Sales tax = 6 / 100 × 984
Sales tax = 5904 / 100
Sales tax = 59.04 dollars
Therefore,
cost of the computer = 984 - 59.04
cost of the computer = 924.96 dollars
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The legislature in a state has 50 seats. Apportion these seats to the five counties below using Lowndes' method.
County Population Seats Received
Adams 71,000
Grant 483,000
Colton 224,000
Davis 406,000
Hayes 444,000
Answer: hi
Step-by-step explanation:
To apportion the 50 seats using Lowndes' method, you will need to follow these steps:
Calculate the apportionment ratio for each county by dividing the population of the county by the total population of the state.
Multiply the apportionment ratio for each county by the number of seats to be apportioned. This will give you the initial allocation of seats for each county.
Distribute the remaining seats (if any) to the counties with the largest remainders (the difference between the initial allocation of seats and the whole number of seats). If there are multiple counties with the largest remainders, distribute the seats among these counties based on their remainders.
Here is the apportionment for the five counties using these steps:
County Population Apportionment Ratio Initial Allocation Seats Received
Adams 71,000 0.088 4.4 4
Grant 483,000 0.591 28.9 29
Colton 224,000 0.274 13.7 14
Davis 406,000 0.500 25.0 25
Hayes 444,000 0.547 27.4 27
Total 1,928,000 50 50
So using Lowndes' method, Adams County would receive 4 seats, Grant County would receive 29 seats, Colton County would receive 14 seats, Davis County would receive 25 seats, and Hayes County would receive 27 seats.
Question 9 of 10
Which is the largest number?
OA. 5.8 x 10-3
B. 2.5 x 105
о C. 1.9 × 106
OD. 8.7 x 10²
On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area
What is surface area and an illustration?The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.
The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.
F= k*a*v^2
a= 250
v=190
30300=k*250*{190^2}
k= 0.03357
F= 0.003357*250*180*180
F=27135
The lifting force is 27135
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A group of children played a balloon dart game at the county fair. The children took turns at the game, and the first 9 players scored
230, 540, 420, 430, 540, 560, 275, 50, 250
Joey is the 10th player, and his score is recorded with the first 9 scores after his turn. If Joey wants his score to be higher than the 70th percentile of all 10 scores, at least how many points does Joey need to score?
Joey needs to score more than 540 points, to be higher than
70th percentile of all scores.
What is percentile?Percentile is defined as the value below which a given percentage falls under.
Example: In a group of 20 children, Ben is the 4th tallest and 80% of the children are shorter than you. Hence, it means that Ben is at the 80th percentile.
The percentile formula determines the performance of a person over others. The percentile formula is used in finding where a student stands in the test compared to other candidates. A percentile is a number where a certain percentage of scores fall below the given number.
Given,
Scores of first 9 players:
230, 540, 420, 430, 540, 560, 275, 50, 250
let the score of joey be x.
Scores of all 10 players
230, 540, 420, 430, 540, 560, 275, 50, 250
Dataset in ascending order =
50, 230, 250, 275, 420, 430, 540, 540, 560
70th percentile of the dataset
k = 70
i = the index
n = total number of given data values = 10
i = k/100(n+1)
i = 70/100 (9+1)
i = 70 × 10/100
i = 7
The index of 70th percentile = 7
value of 70th percentile = value of data on index 7.
value of 70th percentile = 540.
Hence, To be higher than 70th percentile of all scores,
Joey should score more than 540.
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Bradenton Bakery is baking a cake for a customer's quinceañera. The cake mold is shaped like a cylinder with a diameter of 12 inches and height of 8 inches.
Which of the following shows a correct method to calculate the number of cubic units of cake batter needed to fill the mold? Approximate using pi equals 355 over 113.
V equals 355 over 113 times 12 squared times 8
V equals 355 over 113 times 6 squared times 8
V equals 355 over 113 times 8 squared times 6
V equals 355 over 113 times 8 squared times 12
Therefore , the solution of the given problem of volume comes out to be
V =355/113 * (5)² * 7 thus correct option is V equals 355 over 113 times 6 squared times 8.
Define volume.Volume, which is expressed in cubic units, is a unit of measurement for the 3-dimensional space occupied by matter or encircled by a surface. The SI unit of volume = area * height is the cubic metre (m3), which is a derived unit. A "litre" (L) is the name given to the cubic decimeter (dm3).
Here,
The volume of cylinder = πr²h
Given : Diameter = 12 inches
radius = 12/2 = 6 inches
Height = 8 inches
Thus ,
To find the volume we put the all the above values in the formula:
=> V = πr²h
=> V = 22/7 * 6² * 8
=> V =355/113 * (6)² * 8
Therefore , the solution of the given problem of volume comes out to be
V =355/113 * (5)² * 7 thus correct option is V equals 355 over 113 times 6 squared times 8.
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Answer:
V equals 355 over 113 times 6 squared times 8.
Step-by-step explanation:
write the missing digits to make this addition correct
_2_+_2=200
Answer:
128 + 72 = 200
Step-by-step explanation:
Start from the ones. And go next to tens and last find the hundreds.
see image.
Rose bushes are planted in a line on both sides of a path. The distance between the
bushes is 2 meters. What is the largest number of rose bushes that can be planted if
the path is 20 meters long?
3 x (5 + 1) = (3 x 5) + (3x1)
What is the real property
The real property of 3 x (5 + 1) = (3 x 5) + (3x1) is the distributive property
How to determine the propertyFrom the question, we have the following parameters that can be used in our computation:
3 x (5 + 1) = (3 x 5) + (3x1)
The distributive property of algebra states that
x * (a + b) = x * a + x * b
This means that
x = 3
a = 5 and b = 1
By comparison, we can conclude that the property is the distributive property
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4.75% as a fraction in simplest form
Answer: 19/400
Step-by-step explanation:
4.75% = 4.75/100 (in fractions)
= 475/10000 (multiply by 100 for both the numerator and denominator)
= 19 / 400 (divide by 25 for both the numerator and denominator)
How do I know it is 25 for the last step?
Obtain the highest common factor of 475 and 10000. The highest common factor of these two numbers is 25.
Please help will mark Brainly
Answer:
Y less than
Step-by-step explanation:
The Science Club went on a two-day field trip. On the first day, the members paid $60 for transportation plus $15 per ticket to the planetarium. On the second day, they paid $95 for transportation plus $12 per ticket to the geology museum.
Write an expression to represent the total cost for two days for the ₙ members of the club.
Answer: Let n be the number of members in the Science Club.
On the first day, the total cost for transportation plus the cost of tickets is 60 + (15n) dollars.
On the second day, the total cost for transportation plus the cost of tickets is 95 + (12n) dollars.
So, the total cost for both days is (60 + 15n) + (95 + 12n) = 155 + 27n dollars.
The expression to represent the total cost for two days for the n members of the club is 155 + 27n dollars.
This equation represents the total cost for the transportation, planetarium and geology museum for 2 days for the n members in the club.
It should be noted that this is the monetary representation and it might vary depending on other factors, such as group discounts.
Step-by-step explanation:
Answer:
(n x 27)+155
Step-by-step explanation:
15 +12 = 27
Each member pays $27 for the tickets so we multiply it by the number of members.
95 + 60 = 155
The members pay $155 in total for transportation.
the circumference C of a circle is 24 pi inches. Use the formula C=2 pi r to find the radius r of the circle
The radius of the circle with a circumference of 24π is 12 inches.
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The circumference of a circle is the measure of the arc of the circle. It is given by:
Circumference (C) = 2π * radius
Given that the circumference is 24π, hence:
24π = 2π(radius)
Radius = 12 inches
The radius of the circle is 12 inches.
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Here are two number machines that always give the same number for any input. Use the machines expressions to explain why both machines will produce the same outputs for any input.
nts
Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
of Variable
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
what is variable ?A variable in mathematics is a word or an alphabet that stands in for an unknowable quantity, value, or number. In the context of algebra or algebraic expression, the variables are employed specifically. Consider the linear equation x+9=4, which has 9 and 4 as constants and uses x as a variable. There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. The independent variable is often plotted on the x-axis whereas the dependent variable is typically plotted on the y-axis. The independent variable's value also determines
given
Information: The 400 clients' annual health care costs that the insurance provider included in the analysis.
-Variable: The expense of health care per year
400 clients were used as a sample in this study by the insurance business.
The insurance provider included 400 consumers in this survey, providing statistics on the average annual cost of health care for each of them.
-Parameter: The annual average cost of health care for all customers of the insurance provider.
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
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what is the coefficient of Q in the sum of
(2/3q - 3/4) and (-1/6q - 2)
please help me out
Why can’t a nose be 12 inches long Worksheet
The question is in the photo attached
Answer: 10,000
Step-by-step explanation: here's how I got my answer:
Since we are finding the decrease from 2005-2015, we need to multiply 1/20 by 10, since the timespan is 10 years worth of decreasing.
So, 1/2 * 10 =1/2
So, since we have 1/2 as the overall decrease in the population within the 10 years, we divide 20,000 by 1/2 or 20,000 by 2, and we get 10,000. I hope this helps.
This is an unusual question it isn't school related but I'm trying to reverse engineer a formula for WAR ( Baseball statistic) using the variables of OBP (.340) SLG (.430) league average OBP (.324) league average SLG (.413) plate appearances (600) and games played (150) the WAR after all that is an even 2.0 so I'm wondering if anyone on here could reverse engineer an equation using those variables to get 2 as an answer please and thank you