The appropriate statistical test for comparing the difference in maintenance quality ratings at two tirezone locations, where there are two independent groups of customers, would be the Mann-Whitney test or Wilcoxon rank-sum test.
The Mann-Whitney test would be appropriate for this scenario because it is used to compare the difference between two independent groups. In this case, we have two independent groups of customers from different locations, and we want to determine if there is a significant difference in their ratings of maintenance quality.
The test compares the ranks of the observations in the two groups and uses that information to determine if there is a significant difference between them. The Wilcoxon rank-sum test, also known as the Mann-Whitney U test, is another name for the same test.
Therefore, the Mann-Whitney test or Wilcoxon rank-sum test is the appropriate statistical test to use in this scenario.
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5. Carrie Burnside is single, earns $350. 15 weekly, and claims 1 allowance.
6. Ray Barbee, a radio announcer, is single, earns $300. 74 weekly, and
claims 2 allowances.
7. Stephen Jensen, a pharmacist, is married, earns $369. 23 weekly, and
claims 2 allowances.
8. Lisa Steamer is married, earns $290. 34 weekly as a receptionist, and
claims no allowances.
9. Catherine Hall, a restaurant hostess, earns $208. 35 a week. She is single
and claims 2 allowances.
10. Veterinarian Ike Stone earns $925. 32 a week. He is single and claims
1 allowance.
11. Doug Smalley, a meteorologist, is married and earns $1,304. 30 a week.
He claims 2 allowances.
12. Kristen Martinez, a dentist, is married, earns $1,352. 75 a week, and
claims 1 allowance.
Carrie will have $15,481.24 after taxes for a year assuming she works 52 weeks.
First, let's calculate the total taxes she pays each week:
Federal income tax rate = 10% of $350.15 = $35.02
State income tax rate = 5% of $350.15 = $17.51
Total taxes per week = $35.02 + $17.51 = $52.53
Now, we can calculate the total amount of taxes she pays for a year:
Total taxes for a year = $52.53 x 52 weeks = $2,731.56
Amount Carrie will have after taxes for a year:
Annual income before taxes = $350.15 x 52 weeks = $18,212.80
Net income after taxes = Annual income before taxes - Total taxes for a year
Net income after taxes = $18,212.80 - $2,731.56 = $15,481.24
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--The complete Question is, Carrie Burnside is single, earns $350.15 weekly, and claims 1 allowance. If the federal income tax rate is 10% plus an additional 5% state income tax rate, how much will Carrie have after taxes for a year assuming she works 52 weeks? --
Which proportion can be used to find 180% of 45?
naya starts a job earning 85,000 a year each year her salary increases by 3% of her salary the previous year. she works at the job for 5 years. how much money did naya earn in the 5 years?
Naya earns a total of $98538.30 in the 5th year
How much money did naya earn in the 5 years?Naya starts with a salary of $85,000 per year, and her salary increases by 3% each year.
So, her salary in year 5 will be:
Salary = Initial salary * (1 + rate)^5
So, we have
Salary = 85000* (1 + 3%)^5
Evaluate
Salary = 98538.30
Hence, the 5th year earnings is 98538.30
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Eric puts several CDS in a case . four CDS are country, six are rap and ten are pop. if Eric picks one CD from the case without looking, what is the probability that he will pick a pop CD.
A 3/10
B 1/4
C 1/3
D 1/2
Answer:
There are a total of 4 + 6 + 10 = 20 CDs in the case. Eric has a 10/20 = 1/2 chance of picking a pop CD since there are 10 pop CDs in the case.
Therefore, the answer is D) 1/2.
Answer:
Step-by-step explanation:
Eric has a total of 4 + 6 + 10 = 20 CDs in the case.
The probability of picking a pop CD is the number of pop CDs divided by the total number of CDs:
P(pick a pop CD) = 10/20 = 1/2 = 0.5
Therefore, the probability of Eric picking a pop CD is 0.5 or 50%.
how many 15 letter arrangements of 5 a's, 5 b's and 5 c's have no a's in the first 5 letters, no b's in the next 5 letters and no c's in the last 5 letters?
The possible number of letter arrangements of 15 letter with 5 a's, 5 b's and 5 c's have no a's in the first 5 letters, no b's in the next 5 letters and no c's in the last 5 letters are equal to 2252.
Total number of letters for arrangement are 15 in count. Arrangment of 5 A's, 5 B's and 5 C's have no A's in the first 5 letters, no B's in the next 5 letters and no C's in the last 5 letters. In other words, we say that the first five letters must be B's or C's, the next five letters must be C's or A's, and the last five letters must be A's or B's. If there are k number of B's in the first five letters, then there must be (5-k) C's in the first five letters, like that there must be k C's and (5 - k ) A's in the next five letters, and k A's and (5-k) B's in the last five letters. That is number of each letter in each group of five letters is determined completely by knowing the number of B's in the first 5 letters. The number of ways to arrange, 15 letters with this restriction is [tex]$\binom{5}{k}^3$[/tex](since there are [tex]$\binom{5}{k}$[/tex]
ways to arrange k B's and 5-k C's that is arrangements ( 1B + 4C , 2B+ 3C , 3B+2C, 4B+ 1C ),similarly for next five arrangements (1A + 4C , 2A+ 3C , 3A+2C, 4A+ 1C ), ( 1B + 4C , 2B+ 3A , 3B+2A, 4B+ 1A ) and ( 5B, 5C, 5A), ( 5C,5B,A). Thus, the final answer for arrangement is [tex]$\sum_{k=0}^{5}\binom{5}{k}^{3}$[/tex]
Solve the above bionomial expression,
[tex]= \binom{5}{0}^{3} + \binom{5}{1}^{3} + \binom{5}{2}^{3} + \binom{5}{4}^{3} + \binom{5}{5}^{3} \\ [/tex]
[tex]= (\frac{ 5!}{5! 0!})^{3} + (\frac{ 5!}{4! 1!})³ + (\frac{5!}{3! 2!})³ + (\frac{5!}{2! 3!})³ + (\frac{5!}{1! 4!})³ + (\frac{5!}{0! 5!})³ \\ [/tex]
= 1 + 5³ + 10³ + 10³ + 5³ + 1
= 2252
Hence, required value is 2252.
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If m∠A = (4x − 2)° and m∠B = (6x − 20)°, what is the value of x?
A. 34
B. 20.2
C. 11.2
D.9
x has a value of 9. The correct response is (D).
Since the measures of angles A and B are equal, we can set them equal to each other and solve for x:
m∠A = m∠B
4x - 2 = 6x - 20
Subtracting 4x from both sides, we get:
-2 = 2x - 20
Adding 20 to both sides, we get:
18 = 2x
Dividing both sides by 2, we get:
x = 9
Therefore, the value of x is 9. Answer choice (D) is correct.
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lin's family needs to travel 325 miles to teach their grandmother's house.
B. how far have they traveled when they completed 72 percent of the trips distance
They have traveled 234 miles when they completed 72 percent of the trips distance
How far have they traveled when they completed 72 percent of the trips distance from the question, we have the following parameters that can be used in our computation:
Distance = 325 miles
Distance completed = 72%
Using the above as a guide, we have the following:
Distance completed = 72% * Total distance
Substitute the known values in the above equation, so, we have the following representation
Distance completed = 72% * 325 miles
Evaluate
Distance completed = 234 miles
Hence, the distance completed = 234 miles
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Find the compound interest and the total amount after one year if the
interest is compounded quarterly.
Principal
3256
Rate of interest = 100% per annum
=
Total amount = {
Compound interest=
Answer: The compound interest is $409.49, and the total amount after one year is $3,665.49.
Step-by-step explanation:
We can use the formula for compound interest to solve this problem:
A = P(1 + r/n)^(nt)
where:
P = the principal (in this case, $3,256)
r = the annual interest rate (100%, or 1 as a decimal)
n = the number of times the interest is compounded per year (4, since it's compounded quarterly)
t = the number of years (1)
Plugging in the values we know, we get:
A = $3,256(1 + 1/4)^(4*1)
A = $3,256(1.25)^4
A = $3,665.49 (rounded to the nearest cent)
To find the compound interest, we can subtract the principal from the total amount:
Compound interest = $3,665.49 - $3,256 = $409.49
Therefore, the compound interest is $409.49, and the total amount after one year is $3,665.49.
Marcus is using a plant food to fertilize his garden his garden is a rectangle Marcus uses 1 cup of plant food for every square yard of his garden. There are 4 cups in 1 quart one quart of plant food weights 28 ounces what is the total weight in ounces of the plant food Marcus uses to fertilize his garden?
Marcus is using a plant food to fertilize his garden his garden is a rectangle Marcus uses 1 cup of plant food for every square yard of his garden.
To solve it, we need to first find the area of Marcus's garden in square yards, and then multiply it by 1 cup of plant food per square yard. Finally, we need to convert the total cups to ounces using the given conversion rate.
Let the length of Marcus's garden is l yards and the width is w yards. Then the area of his garden in square yards is
A = lw.
If Marcus uses 1 cup of plant food per square yard, then he will use A cups of plant food in total.
To convert cups to ounces, we can use the given conversion rate of 4 cups per 28 ounces.
1 cup = 28/4 ounces
Therefore, the total weight of plant food Marcus uses in ounces is
Total weight = A * (28/4) ounces
By substituting A = lw, we get
Total weight = lw * (28/4) ounces
Total weight = 7lw ounces
Hence, the total weight of plant food Marcus uses to fertilize his garden is 7 times the product of the length and width of his garden, measured in yards.
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4. 1. 33% of 2406 adults surveyed said that skim milk is a good calcium source. Find the margin of error and explain the results
To find the margin of error, we use the formula:
Margin of Error (ME) = Z * [tex]\sqrt{(p * (1-p) / n)}[/tex]
Z = 1.96 (for a 95% confidence level)
p = 0.33 (proportion of adults who said skim milk is a good calcium source)
(1-p) = 1 - 0.33 = 0.67 (complement of the estimated proportion)
n = 2406 (sample size)
ME = 1.96 * [tex]\sqrt{(0.33 * 0.67 / 2406)}[/tex] = 0.0185 (rounded to four decimal places)
This means that we can estimate, with 95% confidence, that the true proportion of adults who believe skim milk is a good calcium source falls within a range that is 1.85% above or below the reported proportion of 33% based on the survey results.
In other words, the actual proportion of adults who believe skim milk is a good calcium source could be as low as 31.15% or as high as 34.85% based on the margin of error.
Question 13(Multiple Choice Worth 2 points)
(Making Predictions MC)
A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
The college will have about 640 students who prefer cookies.
The college will have about 1,280 students who prefer cookies.
The college will have about 1,440 students who prefer cookies.
The best prediction about the number of cookies the college will need is that they will have about 480 students who prefer cookies. Option A is the correct answer.
Prediction explained.
According to the table, out of 225 students, 27 students prefer cookies. To find an estimate of the number of cookies the college will need for its 4,000 students, we can set up a proportion:
27/225 = x/4000
Solving for x, we get:
x = (27/225) * 4000
x = 480
Therefore, the best prediction about the number of cookies the college will need is that they will have about 480 students who prefer cookies. Option A is the correct answer.
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PLEASE IM BEGGING GET THIS RIGHT. RIGHT ANSWER GETS 30 POINTS AND BRAINLIEST. THIS IS DUE IN 5 MINUTES ‼️‼️‼️‼️‼️‼️‼️
The area of the composite figure is 84.85 square units
How to find the area of the composite figureThe area of the composite figure is solved by breaking it up and adding together
To find the area of a semicircle of diameter 8, we first need to find the radius of the semicircle, which is half of the diameter:
radius = diameter / 2 = 8 / 2 = 4
area of semicircle = (1/2) * pi * radius^2
= (1/2) * pi * 4^2
= 8 pi
Now, let's find the area of the parallelogram. The area of a parallelogram is given by the formula:
area of parallelogram = base * height
In this case, the base is 10 and the height is 6, so we have:
area of parallelogram = 10 * 6
= 60
total area = area of semicircle + area of parallelogram
= 8 pi + 60
= 60 + 8 pi (in exact form) or approximately 84.85 (rounded to two decimal places)
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GEOMETRY HELP SHOW STEPS PLEASE. HOW TO FIND AREA OF A REGULAR PENTAGON WITH SIDES OF 2
The area of the regular pentagon is 6.88 unit².
How to find the area of a regular pentagon?The area of a regular pentagon can be found if one side is known. The formula used for finding the area of a regular pentagon is:
A = 1/4 * [√5(5+ 2√5)] * s²
where s is the length of one side of the regular pentagon.
In this case, s = 2:
A = 1/4 * [√5(5+ 2√5)] * s²
A = 1/4 * [√5(5+ 2√5)] * 2²
A = 1/4 * [√5(5+ 2√5)] * 4
A = 6.88 unit²
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Determine the absolute value of the complex number colon open vertical bar 6 straight i close vertical bar
Answer:
√37 ≈ 6.083
Step-by-step explanation:
You want the modulus of the complex number 6 -i.
ModulusThe modulus of a number is written using absolute value bars:
|6 -i|
The modulus of a complex number is the root of the sum of the squares of the real and imaginary parts:
|6 -i| = √(6² +(-1)²)
|6 -i| = √37 ≈ 6.083
Taner wants to run a total of 6 kilometers between last week and this week. How far does Taner need to run this week to reach his goal?
Thus, Taner needs to run only 3 km this week to reach his run target of 6 km.
Explain about the fractional number:We can begin by defining fractional numbers as numbers that represent one or maybe more pieces of a unit that has been divided into equal parts if we need a definition.
Two whole numbers (any fraction terms) separated by a horizontal line are used to calculate the fractional numbers (the fraction line). Every whole number may be used as the numerator above the line, whereas the denominator below the line must be distinct from zero.Given that-
Total run target for Taner is 6 km (including last week and this week)So,
2 week target for Taner = 6 km
Now,
1 week target for Taner = 6/2 = 3 km
As, 3 km of run is already finished by the Taner last week. Thus, Taner needs to run only 3 km this week to reach his goal.
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Find the missing value in the equivalent ratio 12:18 = 16:___
To find the missing value in the equivalent ratio 12:18 = 16:___, you can use cross-multiplication.
First, you multiply the first term of the first ratio by the second term of the second ratio, and then you set it equal to the product of the second term of the first ratio and the missing value in the second ratio.
So, you get:
12 x ___ = 18 x 16
To solve for the missing value, you can divide both sides of the equation by 12:
___ = (18 x 16)/12
Simplifying the right-hand side, you get:
___ = 24
Therefore, the missing value in the equivalent ratio 12:18 = 16:___ is 24
Answer:24
Step-by-step explanation:
12:18
= 6:9
= 2:3
=16:24
First, you simplify it as much as you can and then scale it up to the number necessary.
i need the answers for these 2 questions plss help me
Answer:
7) 760
8) 34
Step-by-step explanation:
7) 95x8=760
8) (103-35)/2=34
Ok people. In the pdf are 2 questions. I literally just need to know what numbers go in them boxes. I am offering 30 points. Please Help soon.
Since the center of this semicircle is at the origin, O (0, 0), the radius of the semicircle is 5 units.
Since the center of this semicircle is at the point A (3, 4) and point B (-4, 5), the radius of the semicircle is 5√2 units.
How to calculate the distance between the two points?In Mathematics and Geometry, the distance between two (2) points that are on a coordinate plane can be calculated by using the following mathematical equation (formula):
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represents the data points (coordinates) on a cartesian coordinate.
By substituting the given points into the distance formula, we have the following;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(3 - 0)² + (4 - 0)²]
Distance = √[(3)² + (4)²]
Distance = √(9 + 16)
Distance = √25
Distance = 5 units.
At point A (3, 4) and point B (-4, 5), the radius is given by;
Distance = √[(-4 - 3)² + (5 - 4)²]
Distance = √[(-7)² + (1)²]
Distance = √(49 + 1)
Distance = √50 = 5√2 units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Please solve this using a tree diagram
Bag X contains 9 blue balls and 18 red balls.
Bag Y contains 7 blue balls and 14 red balls.
Liz picks a ball at random from bag X.
She puts the ball into bag Y.
Mike now picks a ball at random from bag Y.
Show that
Probability (Liz picks a blue ball) = Probability (Mike picks a blue ball)
The probability of picking blue ball by Liz and Mike are equal =1/3
What about probability?Probability is a branch of mathematics that deals with the study of random events or experiments. It is concerned with quantifying the likelihood or chance of a particular event occurring, given certain assumptions or conditions.
The probability of an event is typically represented as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain. For example, if you flip a fair coin, the probability of getting heads is 0.5, and the probability of getting tails is also 0.5.
There are different methods for calculating probabilities, depending on the nature of the event or experiment being considered. Some of the most commonly used methods include the classical probability method, the empirical probability method, and the subjective probability method.
Probability has many applications in various fields, including statistics, finance, engineering, and science. It is used to model and analyze complex systems and to make predictions and decisions based on uncertain information.
According to the given information:Given : X contains 9 blue balls and 18 red balls.
Y contains 7 blue balls and 14 red balls.
Probability of picking blue ball is 9/9+18
=9/27=1/3
Now Mike pick ball from bag Y one ball not affect these pick ball
so, 7/7+14=7/21=1/3
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DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!
Use the following information to answer questions 2 and 3.
Suppose Kiran has a group of 50 people that he is going to study in an experimental study and he needs them to sign a form to participate. He creates two groups of 25 people. The first group consists of the first 25 people who turned in the signed form. The second group consists of the other 25 people who signed the form.
2. Are there any potential problems with Kiran's study? Explain your reasoning.
3. Why is it important to randomly assign people to groups in an experimental study?
Answer:
2. Yes, there are potential problems with Kiran's study. The first group consists of the first 25 people who turned in the signed form. This means that the first group may not be representative of the entire population of 50 people. For example, if the first 25 people who turned in the signed form are all from a particular demographic group, then the results of the study may not be generalizable to the entire population.
3. It is important to randomly assign people to groups in an experimental study because it helps ensure that the groups are similar in all respects except for the studied variable. This helps reduce the impact of confounding variables and increases the study's internal validity. Random assignment also helps to ensure that any differences between the groups are due to chance rather than systematic differences between the groups.
Step-by-step explanation:
Answer:
2. Yes, Kiran's study does have possible flaws, indeed. The first 25 people who submitted the signed form are in the first group. This indicates that the first group might not be typical of the total 50-person population. The study's findings might not apply to the entire population, for instance, if the first 25 persons to submit a signed form are all from the same demographic group.
3. In this experimental study, it's crucial to divide participants into groups at random since it helps to ensure that the groups are comparable in all regards outside the studied variable. This raises the study's internal validity and lessens the effect of confounding variables. Also, random assignment makes sure that any discrepancies between the groups are the result of chance, rather than deliberate divisions.
the independent variable in either a before/after t or a within subjects f is always of what data scale?the independent variable in either a before/after t or a within subjects f is always of what data scale?
The independent variable in either a before/after t-test or a within-subjects ANOVA is always measured on a nominal or categorical scale.
This is because these statistical tests are used to compare means of two or more related groups, where the independent variable represents the different conditions or time points in which the dependent variable is measured.
For example, in a before/after t-test comparing the effectiveness of a medication, the independent variable would be the two time points (before and after), which are categorical in nature. Similarly, in a within-subjects ANOVA comparing three different treatment conditions, the independent variable would be the three treatment conditions, which are nominal in nature.
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Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carson sisters to divide evenly among themselves. There are 5 Carson sisters. How many pieces of jewelry did each sister recive
As per the given Equation Each sister received 1 piece of jewelry.
Let's the number of pieces of jewelry that each sister received "x". Since there are 5 sisters, the total number of pieces of jewelry that the sisters received is 5x.
We can then set up an equation to represent the total number of pieces of jewelry that the sisters received from both grandmothers:
13 + y = 5x
This equation says that the total number of pieces of jewelry the sisters received is equal to the sum of 13 pieces from Grandma Gertrude and y pieces from Grandma Fien, and this total is also equal to the number of sisters (5) times the number of pieces each sister received (x).
To solve for x, we can first simplify the equation:
y = 5x - 13
Now we can substitute this expression for "y" into the original equation:
13 + (5x - 13) = 5x
5x = 5x
This equation is true for any value of x, which means that x can be any number. However, we are looking for the number of pieces of jewelry that each sister received, so we need to find a specific value of x.
Dividing both sides of the equation by 5, we get:
x = 1
This means that each sister received 1 piece of jewelry.
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A printing press used 2 1/3 reams of paper to print 3 books. How many reams of paper did the printing press use for each book?
Write your answer as a fraction or as a whole or mixed number.
PLEASE HELP
Answer: 7/9
Step-by-step explanation:
To find how many reams of paper the printing press used for each book, we need to divide the total number of reams used by the number of books printed.
Let's convert 2 1/3 reams of paper to an improper fraction:
2 1/3 = (2 × 3 + 1) / 3 = 7/3
So the printing press used 7/3 reams of paper to print 3 books. To find how many reams of paper were used per book, we can divide the total amount of paper used by the number of books:
(7/3) ÷ 3 = 7/9
Therefore, the printing press used 7/9 of a ream of paper for each book.
Miguel has $783 in
each pay period, which is deducted from his
paycheck to pay for taxes, insurance, and a retirement plan.
OA. net pay
OB. gross earnings
C. withholdings
OD. paystubs
On solving the provided query we have His net pay would be the amount he receives after this $783 has been subtracted from his gross income. This $783 reflects his withholdings.
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
The amount that an employer withholds from an employee's paycheck to pay for taxes, insurance premiums, and other deductions like retirement contributions or wage garnishments is known as a withholding. Before the employee receives their net pay—the amount they actually take home after all deductions are done—these deductions are made.
For Miguel, taxes, insurance, and retirement plan payments total $783, and these are taken from each pay period. His net pay would be the amount he receives after this $783 has been subtracted from his gross income. This $783 reflects his withholdings.
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Answer: C. Withholdings
Step-by-step explanation:
just did it and got it right
12 points
Jakayla sells cakes for special occasions. She charges her customers a
one-time design fee plus a rate for each serving the cake yields. The
table shows the cost of a cake from Sheila based on the number of
servings. Based on the table, what rate does Sheila charge customers for
each serving?
SERVINGS
100
TOTAL COST
$280
$405
150
200
$530
250
$655
A. $2. 80
O B. $2. 50
O C. $2. 70
O D. $3. 00
The rate at which Sheila charges customers for each serving = $2.5 per serving.
Here the table that shows the cost of a cake from Sheila based on the number of servings is:
SERVINGS TOTAL COST
100 $280
150 $405
200 $530
250 $655
We need to find the rate at which Sheila charge customers for each serving.
Consider points (x₁, y₁) = (100, 280) and (x₂, y₂) = (200, 530)
where x is the number of servings and y coordinate represents the cost of servings.
The rate at which Sheila charges customers for each serving would be,
r = (y₂ - y₁) / (x₂ - x₁)
r = (530 - 280) / (200 - 100)
r = 250 / 100
r = 2.5
Therefore, the required rate is $2.5 per serving.
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PLEASE HELP!! Lesson 4.03
Madame Dumas has a rather extensive art collection, and the overall value of her collection has been
increasing each year. Three years ago, her collection was worth $300,000. Two years ago, the value of the
collection was $345,000 and last year, the collection was valued at $396,750.
Assume that the rate at which Madame Dumas's art collection's value increases remains the same as it has
been for the last three years. The value of the art collection can be represented by a geometric sequence.
The value of the collection three years ago is considered the first term in the sequence.
A) Write an explicit rule which can be used to determine the value of her art collection n years after that.
Show the steps for finding r.
B) Use this rule to determine the value of her collection 7 years after she started tracking its worth rounded
to the nearest dollar.
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A) The explicit rule for the value of the collection n years after it was worth $300,000 is = $300,000 * (1.15)^n
B) Rounded to the nearest dollar, the value of Madame Dumas's art collection 7 years after she started tracking its worth is $698,285.
The explicit ruleA) We know that the value of the art collection three years ago is $300,000, and the value of the collection two years ago is $345,000. Using these values, we can find the common ratio (r) of the geometric sequence:
r = (value two years ago) / (value three years ago)
r = 345,000 / 300,000
r = 1.15
Now that we have the common ratio, we can write the explicit rule for the value of the collection n years after it was worth $300,000:
value after n years = $300,000 * (1.15)^n
B) Using the explicit rule we found in part A, we can determine the value of the collection 7 years after it was worth $300,000:
value after 7 years = $300,000 * (1.15)^7
value after 7 years ≈ $698,285
Rounded to the nearest dollar, the value of Madame Dumas's art collection 7 years after she started tracking its worth is $698,285.
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Tickets to a school dance are sold 10$ each. The student council spent a total of 400$ on set-up costs for the dance. The school's profit (p) , in dollars , from the dance depends on the number of tickets sold (t)
9PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED
Answer: sin x= 20/24 x = 34
Step-by-step explanation:
Consider triangle DEF.
The measure of angle F is 90°,
DE=85 cm,
EF=84 cm, and DF=13 cm.
Which of the following expressions are true about this triangle?
Select all that apply.
I hope this helps you .
it is known that roughly 2/3 of all human beings have a dominant right foot or eye. is there also right-sided dominance in kissing behavior? an article reported that in a random sample of 127 kissing couples, both people in 79 of the couples tended to lean more to the right than to the left.
It is possible that there is right-sided dominance in kissing behavior, based on the reported study. The fact that in a random sample of 127 kissing couples, both people in 79 of the couples tended to lean more to the right than to the left suggests a pattern of right-sided dominance.
However, it is important to note that this study alone is not conclusive evidence of right-sided dominance in kissing behavior.
Further research would be needed to confirm whether there is a consistent pattern of right-sided dominance in kissing behavior across different populations and cultures. It is also possible that other factors, such as social or psychological factors, could influence the direction in which people lean during a kiss. Therefore, it is important to approach this topic with caution and not draw any firm conclusions based on a single study.
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