Answer: For which item was he charged twice? 42.25 – 29.50 = 12.75, so he was charged twice for the hat.
It may be incorrect! This is in my math book and it was this answer. Please forgive me if it’s incorrect!
A clinic has several doctors. Every patient, on average, requires about 27 minutes with a doctor Each doctor works 8 hours per day and 7 days per week. The clinic also operates 8 hours per day and 7 days per week. Based on past observations, the clinic must serve 122 patients per day. How many doctors should the clinic hires in order to serve 122 patients per day? Use at least 4 decimals in your calculation and answer.
The clinic should hire at least 7 doctors in order to serve 122 patients per day.
To determine how many doctors the clinic should hire in order to serve 122 patients per day, we need to calculate the number of patients each doctor can see within their working hours.
Let's start by calculating the total number of minutes each doctor works per day. Since each doctor works 8 hours per day and there are 60 minutes in an hour, the total minutes worked by a doctor per day would be 8 hours × 60 minutes = 480 minutes.
Next, we need to find out how many patients a doctor can see within their working hours. Given that each patient requires an average of 27 minutes with a doctor, the number of patients a doctor can see per day would be 480 minutes ÷ 27 minutes per patient = 17.7778 patients.
Since we can't have a fractional number of patients, we need to round this number up to the nearest whole number to ensure that each patient gets the required attention. Therefore, each doctor can see approximately 18 patients per day.
To serve 122 patients per day, we divide the total number of patients by the number of patients each doctor can see per day: 122 patients ÷ 18 patients per doctor = 6.7778 doctors.
Again, we can't have a fractional number of doctors, so we need to round this number up to the nearest whole number. Therefore, the clinic should hire at least 7 doctors to serve 122 patients per day.
In summary, the clinic should hire at least 7 doctors in order to serve 122 patients per day.
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Question 1
03.04MC)
The sum of the consecutive numbers is 84 What is the largest of these number? A. 26
B. 27
C. 28
D. 29
plz help im giving 15 points!
Answer:
i dont know because u didnt give me how many numbers
Step-by-step explanation:
the national average.
If the national average for a gallon of gas is $2.59, how much
should you expect to pay for gas in Philadelphia versus
Cleveland?
A. $3.03 / $2.75
B. $1.95 / $2.59
C. $2.34 / $2.75
D. $2.75 / $3.24
Philadelphia Clevland
Overall 92 78
Food 106 106
Housing 56 27
Utilities 130 126
Transportation 117 106
Health 102 113
The correct answer is D. $2.75 / $3.24
To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:
Philadelphia: $117
Cleveland: $106
To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:
Expected Gas Price = National Average * (Transportation Expense / National Average)
National Average for gas = $2.59
For Philadelphia:
Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30
For Cleveland:
Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51
Comparing the expected gas prices, we find that:
A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.
C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.
Therefore, the correct answer is:
D. $2.75 / $3.24
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A social media website had 500,000 followers in 2012. The number y of followers increases by 19% each
year.
a. Write a function that represents the number of followers t years after 2012.
b. How many people will be following the website in 2019? Round your answer to the nearest thousand.
The function representing the followers is f(t) = 500,000( \( {(1 + 19%)}^{t} \)) and number of followers in 2019 will be 1,69,000.
The function represent the increase in followers each will be according to the below mentioned expression -
Total followers = initial followers \( {(1 + percentage increase in followers) }^{time spent} \)
Further representing time spent with t and total followers as f(t)
a. Keep the values in the mentioned expression -
f(t) = 500,000 \( {(1 + 19%) }^{t} \)
b. Time spent = 2019 - 2012
Time spent = 7
f(7) = 500000 (1 + 0.19) ⁷
f(7) = 500000 (1.19) ⁷
Performing addition
f(7) = 500000 × 3.38
Performing multiplication
f(7) = 1,68,965.77
Rounding off the answer to nearest thousand
f(7) = 1,69,000
Thus, correct answers are f(t) = 500,000( \( {(1 + 19%)}^{t} \)) and 1,69,000.
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William wishes to view a frequency table for grouped data using his monthly credit card statements for the last 20 months, shown below. Construct the table for William using six classes. 1312, 1303, 809, 1477, 1263, 1444, 894, 1051, 1485, 1433, 1132, 1221, 1179, 945, 995, 1179, 1172, 1373, 906, 955 Provide your answer below: Lower Class Limit Upper Class Limit Frequency 809 1486
Frequency is the number of incidences of an occasion or value. A frequency table that displays the number of incidences of the goods and the number of times, and the further discussion can be defined as follows:
Lower class than adults who have little over two-thirds of a nationwide median's average household income.The higher class would include families with substantial wealth and biz incomes or where the primary breadwinner is utilized as a manager or a professional worker.Calculation:
\(lower\ \ \ \ \ \ \ \ \ upper \ \ \ \ \ \ \ \ \ frequency\\\\809\ \ \ \ \ \ \ \ \ 921 \ \ \ \ \ \ \ \ \ 3\\\\922 \ \ \ \ \ \ \ \ \ 1034 \ \ \ \ \ \ \ \ \ 3\\\\1035 \ \ \ \ \ \ \ \ \ 1147\ \ \ \ \ \ \ \ \ 2\\\\1148 \ \ \ \ \ \ \ \ \ 1260\ \ \ \ \ \ \ \ \ 4\\\\1261 \ \ \ \ \ \ \ \ \ 1373 \ \ \ \ \ \ \ \ \ 4\\\\1374 \ \ \ \ \ \ \ \ \ 1486\ \ \ \ \ \ \ \ \ 4\)
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a company makes two similar cylindrical containers. the total surface area of the smaller container is 0 . 81 times that of the larger container. the height of the larger container is 60 centimeters. what is the height of the smaller container?
Answer:
54 cm--------------------
Area is the product of two dimensions, so the ratio of areas of similar figures is equal to the square of the scale factor k.
k² = 0.81Hence the scale factor is:
k = √0.81 = 0.9Therefore the ratio of corresponding parts is:
x / 60 = 0.9x = 60*0.9x = 54Please answerrrrrr I I’m horrible at this
Answer:
Ok is there options? Because that will make it easy but I dont think your supposed to ask for help on a district test
Help asap!
Miguel asks each person in his work group to estimate the cost of their project. Three people have not yet turned in
their estimates by the time Miguel must provide cost estimates to his boss. Which type of reasoning must Miguel use to
finish his own estimates?
A. abductive
B. deductive
C. inductive
D. unsound
Expand to write an equivalent expression:
Answer:
kindly put the complete question because you just wrote the question without the equation
which one is the 25th island of Greece?
1. amorgos
2. sus island
3. the hair of dog
Answer:
obviously sus island
Step-by-step explanation:
What are examples of perfect square Trinomials?
Example of perfect square trinomial is: x² + 6x + 9 it is expressed as
(x + 3)²
What is trinomial?Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."
An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.
A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.
Example:
x² + 6x + 9
= x² + 3x + 3x + 9
= (x +3) (x + 3)
= (x + 3)²
so, this is a perfect square trinomial.
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Zachary says that the equation 0 = (x – 4)(x – c) has one unique real number solution. What must be the value of c for his statement to be true? c =.
To determine the value of c that would make Zachary's statement true, we need to consider the discriminant of the quadratic equation formed by the given expression.
The discriminant is the expression b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation in the standard form ax^2 + bx + c = 0.
In this case, the given expression can be expanded as x^2 - (4 + c)x + 4c = 0, which is a quadratic equation in standard form with a = 1, b = -(4 + c), and c = 4c.
The discriminant of this equation is thus (4 + c)^2 - 4(1)(4c) = c^2 - 8c + 16.
For the equation to have one unique real number solution, the discriminant must be equal to zero. Therefore, we have the equation c^2 - 8c + 16 = 0. Factoring this equation, we get (c - 4)^2 = 0, which implies that c = 4.
Therefore, the value of c that would make Zachary's statement true is c = 4.
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in a sale, prices are reduced by 12%. Hani bought a pair of boots for the sale price of £61.60. what was the original price of the boots?
Answer: $68.99
Step-by-step explanation:
12% of 61.60 is 7.39200, if you simplify the total, you would get 7.39. Then, you add the total with the sale price to get the original price. Which in this case is $68.99.
Heather drove at a constant rate. She traveled 162 miles in 3 hours. How far did Heather travel in 1 hour?
Answer:
54 miles
Step-by-step explanation:
I think it's right I did 162÷3=54 I hope it helps :D
Solve for v.
5(v+6)=-3(4v-6) + v
Simplify your answer as much as possible.
V=
Prove that the area of a regular n-gon, with a side of length s, is given by the formula: ns2 Area = 4 tan (15) (Note: when n = 3, we get the familiar formula for the area of an equilateral triangle 2V3 which is .) 4. s3 )
The area of a regular n-gon with side length s is given by ns2(2 + √3)/4, or ns2tan(π/n)/4 using the trigonometric identity.
Consider a regular n-gon with side length s. We can divide the n-gon into n congruent isosceles triangles, each with base s and equal angles. Let one such triangle be denoted by ABC, where A and B are vertices of the n-gon and C is the midpoint of a side.
The angle at vertex A is equal to 360°/n since the n-gon is regular. The angle at vertex C is equal to half of that angle, or 180°/n, since C is the midpoint of a side. Thus, the angle at vertex B is equal to (360°/n - 180°/n) = 2π/n radians.
We can now use trigonometry to find the area of the triangle ABC: the height of the triangle is given by h = (s/2)tan(π/n), and the area is A = (1/2)sh. Since there are n such triangles in the n-gon, the total area is given by ns2tan(π/n)/4.
Using the fact that tan(π/12) = √6 - √2, we can simplify this expression to ns2(√6 - √2)/4. Multiplying top and bottom by (√6 + √2), we obtain ns2(2 + √3)/4.
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HELP ASAP! Pls and thx! Need help.
Answer:
y = -3x + 22
Step-by-step explanation:
To find m, find the change in y and divide it by the change in x.
For example, the change in y between 19 and 13 is -6. Then determine the change in x. For example, since we determined the change in 19 and 13, let's look at the change in the x coordinates that pair with 19 and 13: 1 and 3. The change in x between 1 and 3 is 2. Now divide the change in y by the change in x: -6/2 = -3. So now we have the equation y = -3x + b, but we still need to figure out b, or the y-intercept. To do this, we need to figure out a pattern in the table to find out what y is equal to when x = 0, the definition of a y-intercept. From just the table alone, it looks like for every 2 units the x-coordinate decreases, the y-coordinates increases by 6. We could also just as easily say that for every 1 unit the x-coordinate decreases, the y-coordinate increases by 3. From this definition, if we look at the coordinate (1, 19), if we were to decrease 1 from the x-coordinate, we would have to increase the y-coordinate by 3 which we can write as (x - 1, y + 3). So, we would get (0, 22). So, when x = 0, y = 22.
the owner of a smoothie shop wants to survey customers to find out what new fruits should be added to the menu
Answer:
Step-by-step explanation:
Have the cash register print a pink arrow on a receipt every 15 minutes. Survey customers with a pink arrow on their receipts.
Its correct I got it right!!
The approach which is most likely to represent a sample that is representative of the population is option C. Have the cash register print a pink arrow on a receipt every 15 minutes. Survey customers with a pink arrow on their receipt.
What are Sampling Methods?Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.
The random sample we need here is the sample of customers coming to a shop.
If we select the customers by the other options other than the third one, it will lead to various bias issues like sampling bias and research bias.
Hence the most appropriate method is to use option c.
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1/4 converted into a mixed number
Step-by-step explanation:
1/4 cant be converted as mixed no. as it is a proper fraction.
1/4=0.25
50 points!!!
Someone help pls, I can’t understand it and it’s due tomorrow :c
\({\large{\textsf{\textbf{\underline{\underline{Question \: 1 :}}}}}}\)
\(\star\:{\underline{\underline{\sf{\purple{Solution:}}}}}\)
❍ Arrange the given data in order either in ascending order or descending order.
2, 3, 4, 7, 9, 11
❍ Number of terms in data [n] = 6 which is even.
As we know,
\(\star \: \sf Median_{(when \: n \: is \: even)} = {\underline{\boxed{\sf{\purple{ \dfrac{ { \bigg (\dfrac{n}{2} \bigg)}^{th}term +{ \bigg( \dfrac{n}{2} + 1 \bigg)}^{th} term } {2} }}}}}\)
\(\\\)
\( \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ { \bigg (\dfrac{6}{2} \bigg)}^{th}term +{ \bigg( \dfrac{6}{2} + 1 \bigg)}^{th} term } {2} }\)
\(\\\)
\( \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ {3}^{rd} term +{ \bigg( \dfrac{6 + 2}{2} \bigg)}^{th} term } {2} }\)
\(\\\)
\( \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ {3}^{rd} term +{ \bigg( \cancel{ \dfrac{8}{2}} \bigg)}^{th} term } {2} }\)
\(\\\)
\( \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ {3}^{rd} term +{ 4}^{th} term } {2} }\)
• Putting,
3rd term as 4 and the 4th term as 7.
\(\longrightarrow \: \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ 4 + 7 } {2} }\)
\(\longrightarrow \: \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ 11} {2} }\)
\(\longrightarrow \: \sf Median_{(when \: n \: is \: even)} = \purple{5.5}\)
\(\\\)
\({\large{\textsf{\textbf{\underline{\underline{Question \: 2 :}}}}}}\)
\(\star\:{\underline{\underline{\sf{\red{Solution:}}}}}\)
❍ Arrange the given data in order either in ascending order or descending order.
1, 2, 3, 4, 5, 6, 7
❍ Number of terms in data [n] = 7 which is odd.
As we know,
\(\star \: \sf Median_{(when \: n \: is \: odd)} = {\underline{\boxed{\sf{\red{ { \bigg( \frac{n + 1}{2} \bigg)}^{th} term}}}}}\)
\(\\\)
\( \sf Median_{(when \: n \: is \: odd)} = {{ \bigg(\dfrac{ 7 + 1 } {2} \bigg) }}^{th} term\)
\(\\\)
\( \sf Median_{(when \: n \: is \: odd)} = { \bigg(\cancel{\dfrac{8}{2}} \bigg)}^{th} term\)
\(\\\)
\( \sf Median_{(when \: n \: is \: odd)} ={ 4}^{th} term\)
• Putting,
4th term as 4.
\(\longrightarrow \: \sf Median_{(when \: n \: is \: odd)} = \red{ 4}\)
\(\\\)
\({\large{\textsf{\textbf{\underline{\underline{Question \: 3 :}}}}}}\)
\(\star\:{\underline{\underline{\sf{\green{Solution:}}}}}\)
The frequency distribution table for calculations of mean :
\(\begin{gathered}\begin{array}{|c|c|c|c|c|c|c|} \hline \rm x_{i} &\rm 3&\rm 1&\rm 7&\rm 4&\rm 6&\rm 2 \rm \\ \hline\rm f_{i} &\rm 4&\rm 6&\rm 2&\rm 2 & \rm 1&\rm 1 \\ \hline \rm f_{i}x_{i} &\rm 12&\rm 6&\rm 14&\rm 8&\rm 6&\rm \rm 2 \\ \hline \end{array} \\ \end{gathered} \)
☆ Calculating the \(\sum f_{i}\)
\( \implies 4 + 6 + 2 + 2 + 1 + 1\)
\( \implies 16\)
☆ Calculating the \(\sum f_{i}x_{i}\)
\( \implies 12 + 6 + 14 + 8 + 6 + 2\)
\(\implies 48\)
As we know,
Mean by direct method :
\( \: \: \boxed{\green{{ { \overline{x} \: = \sf \dfrac{ \sum \: f_{i}x_{i}}{ \sum \: f_{i}}}}}}\)
here,
• \(\sum f_{i}\) = 16
• \(\sum f_{i}x_{i}\) = 48
By putting the values we get,
\(\sf \longrightarrow \overline{x} \: = \: \dfrac{48}{16}\)
\(\sf \longrightarrow \overline{x} \: = \green{3}\)
\({\large{\textsf{\textbf{\underline{\underline{Note\: :}}}}}}\)
• Swipe to see the full answer.
\(\begin{gathered} {\underline{\rule{290pt}{3pt}}} \end{gathered}\)
The product of 11/13 and 4 is:
Answer:
11/13 x 4 = 3 5/13
Step-by-step explanation:
Answer:
\( \frac{11}{13} \times 4 \\ = \frac{44}{13}
=3 5/13\\ thank \: you\)
What point is this?
Luis is making cookies. He needs 1 1/4 cup of sugar to make 12 cinnamon cookies and 1/2 cups of sugar to make 24 chocolate chip cookies. How many cups of sugar does he need to make both recipes?
Answer: 1 3/4 cups of sugar
Step-by-step explanation:
To make the first recipe, Luis needs 1 1/4 cup of sugar.
To make the second recipe, he needs 1/2 cup of sugar.
The number of cups of sugar that he need to make both recipes will be gotten by adding both cups of sugar together. This will be:
= 1 1/4 + 1/2
= 1 1/4 + 2/4
= 1 3/4
Therefore, 1 3/4 cups of sugar are needed
Determine whether the underlined numerical value is a parameter or a statistic. Explain your reasoning. for a certain movie, 64.3%.
The underlined numerical value is a statistic.
It represents a percentage of something related to the movie. Statistics refers to the values calculated from a sample of data and can change depending on the sample chosen. Parameters, on the other hand, refer to values calculated from the entire population and do not change .Discussion :In statistics, parameters and statistics are used to describe sets of data.
Suppose we want to estimate the average age of all Americans. The average age of the entire population is the parameter, while the average age of a sample of Americans is a statistic. Therefore, the parameter is a numerical value that describes a population, while the statistic is a numerical value that describes a sample.In the given case, "64.3%" is a percentage, which is calculated from a sample of data related to the certain movie. As the value is calculated from a sample, it is a statistic and not a parameter.
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Josiah's monthly bank statement showed the following deposits and withdrawals: $94.57, -−$87.78, -−$16.36, -−$64.92, $10.73 If Josiah's balance in the account was $62.72 at the beginning of the month, what was the account balance at the end of the month?
The account balance at the end of the month is $-1.04.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Josiah's monthly bank statement showed the following deposits and withdrawals: $94.57, -−$87.78, -−$16.36, -−$64.92, $10.73 If Josiah's balance in the account was $62.72 at the beginning of the month.
The balance after the end of the withdrawal and deposits will be,
Account balance = $62.72 + $94.57−$87.78−$16.36−$64.92 + $10.73
Account balance = $-1.04
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Which of the following is not a characteristic that helps to classify rocks?
Texture
Odor
Mineral composition
Color
Answer: Odor
Step-by-step explanation: "Odor" is not a characteristic that helps to classify rocks. Rock classification is based on the study of physical and chemical properties such as texture, mineral composition, and color. Odor is not considered to be a significant factor in rock classification, as it can be subjective and may change over time. The main characteristics that are used to classify rocks are texture (the size, shape, and arrangement of mineral grains), mineral composition (the types and proportions of minerals present), and color (the hue, saturation, and brightness of the rock's surface). These characteristics help geologists to identify the type of rock, its origin, and how it formed.
Answer:
B: Odor
Step-by-step explanation:
The odor of a rock is not significant to the type of rock it is, but more of where the rock has been. So the odor is NOT a characteristic that helps to classify rocks.
Quadrilateral PQRS is rotated 90° clockwise about the origin to form quadrilateralP'Q'R'S'. What is the y-coordinate of point PlpQPSType the answer in the box
solve the system of equations algebraically -5x+2y=4 2x+3y=6
Step-by-step explanation:
-5x+2y= 4 <==== Multiply entire equation by -3 to get:
15x-6y = -12
2x+3y= 6 <==== Multiply entire equation by 2 to get :
4x+6y = 12 Add the two underlined equations to eliminate 'y'
19x = 0 so x = 0
sub in x = 0 into any of the equations to find: y = 2
(0,2)
Harden is building shelves for his comic book collection. He has a piece of wood that is 3.5 feet long. After cutting four equal pieces of wood from it, he has 0.6 feet of wood left over.
Part A: Write an equation that could be used to determine the length of each of the four pieces of wood he cut. (1 point)
Part B: Explain how you know the equation from Part A is correct. (1 point)
Part C: Solve the equation from Part A. Show every step of your work. (2 points)
Answer:Answer:The equation that could be used to determine the length of each of the four pieces of wood he cut is 3.5 = 0.6 + 4x and the solution is x = 0.725
Part A: Write an equation that could be used to determine the length of each of the four pieces of wood he cut.
Represent the length of the four pieces with x
So, the given parameters are:
Initial length = 3.5 feet
Remaining length = 0.6 feet
Number of pieces = 4
The equation that could be used to determine the length of each of the four pieces of wood he cut is represented as:
Initial length = Remaining length + Number of pieces * x
This gives
3.5 = 0.6 + 4x
Hence, the equation that could be used to determine the length of each of the four pieces of wood he cut is 3.5 = 0.6 + 4x
Part B: Explain how you know the equation from Part A is correct.
The equation in part (A) is correct because it can be used to determine the length of each of the four pieces of wood he cut
Part C: Solve the equation from Part A.
In part A, we have:
3.5 = 0.6 + 4x
Subtract 0.6 from both sides
2.9 = 4x
Divide both sides by 4
x = 0.725
Hence, the solution is x = 0.725
Step-by-step explanation:
Hope I helped ;)
In a 180-kilogram sample of ore, there was 3.2% metal. How many kilograms of metal were in the sample?
5.76 KG as 180 x 0.032 (3.2 percent) = 5.76