The arithmetic mean of the numbers is -6 11/15
What is arithmetic mean?Arithmetic mean is often referred to as the mean or arithmetic average. It is calculated by adding all the numbers in a given data set and then dividing it by the total number of items in that set.
therefore, arithmetic mean= sum of items/ no of items
The average of numbers,7, 17, 1/3 ,-2/5, -12 ,7, - 121, 49,-16,-9and 4 is obtained by adding the numbers to together and dividing the result by the total frequency.
The sum of the numbers is 7 +17 +1/3-2/5 -12+7 - 121+ 49-16-9+ 4= -1111/15
the total number of items in the set is 11
therefore arithmetic mean = -1111/15÷ 11
= -1111/15×1/11
=-101/15
= -6 11/15
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What are the answers to 3, 4, and 5? Thank you.
The missing terms in the two column proof are;
Reason 4; Opposite Angles
Reason 5; AAS Congruency Postulate
How to carry out two column proof of triangles?From the given image, we want to use the two column proof to prove that ΔAEC ≅ ΔDEB.
Now, we have the two column proof as follows;
Statement 1; AC ║ BD
Reason 1; Given
Statement 2; AC ≅ BD
Reason 2; Given
Statement 3; ∠ACE ≅ ∠DBE
Reason 3; Alternate angles
Statement 4; ∠AEC ≅ ∠BED
Reason 4; Opposite Angles
Statement 5; ΔAEC ≅ ΔDEB
Reason 5; AAS Congruency Postulate
The final proof is AAS Congruency postulate because it has 2 congruent angles and the non-included congruent side.
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A motorboat maintained a constant speed of 14 miles per hour relative to the water in going 33 miles upstream and then
returning. The total time for the trip was 7.0 hours. Use this information to find the speed of the current.
What is speed of the current is miles per hour?
The speed of the current is equal to 8 miles per hour.
How to calculate the speed of the current?Mathematically, speed of any physical object can be calculated by using this formula;
Speed = distance/time
Let the variable c represent the speed of the current in miles per hour. Therefore, the downstream and upstream speed relative to the water would be given by this mathematical expression:
Speed downstream = 14 + c.
Speed upstream = 14 - c.
Additionally, the total time would be given by:
Total time = total distance/speed
Time upstream + time downstream = 6.5 hours
33/(14 - c) + 33/(14 + c) = 7.0
Multiplying both sides of the equation by (14 - c)(14 + c), we have:
33(14 + c) + 33(14 - c) = 7.0(14 - c)(14 + c)
462 + 33c + 462 - 33c = 7.0(196 - c²)
924 = 7.0(196 - c²)
Dividing both sides of the equation by 7.0, we have:
132 = 196 - c²
Speed of the current, c² = 196 - 132
Speed of the current, c² = 64
Speed of the current, c = √64
Speed of the current, c = 8 miles per hour.
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A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.
If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.
How to find the estimated number?Let x represent the estimated number of fish in the lake
Hence,
x /10 = 7/2
Cross multiply
2x = 10 × 7
2x = 70
Divide both side by 2x
x =70/2
x = 35 fish
Therefore 35 is the number of fish.
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Car Survey 1500 In a survey of people who owned a certain type of car ,675 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
The percent of the people surveyed were satisfied with the car will
be 45%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Total number of people in a survey of car = 1,500
And, 675 people said they would buy that type of car again.
Now,
Total number of people in a survey of car = 1,500
And, The people surveyed were satisfied with the car = 675
Hence, The percent of the people surveyed were satisfied with the car is;
= 675 / 1500 x 100
= 0.45 x 100
= 45%
Thus, The percent of the people surveyed were satisfied with the car will
be 45%.
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Select the correct answer.
Consider the function given below.
f(x) = lx-5l +2
Which of the following statements about the y-values of the graph of the function is true?
A. The y-values are all greater than or equal to 5.
B. The y-values are all greater than or equal to 2.
C. The y-values are all less than or equal to 2.
D. The y-values are all less than or equal to 5.
The statement which is true about the y-values of the graph of the function as required is; Choice B; The y-values are all greater than or equal to 2.
Which statement is true regarding the y-values?It follows from the task content that the statement which is true regarding the y-values of the graph defined by; f(x) = lx-5l +2 is to be determined.
Therefore, we must recall that expressions enclosed in the absolute value sign upon evaluation are always greater than or equal to zero.
Hence, it can be concluded that we the y-values of the resulting graph to be greater than or equal to 2 (on the occasion that; lx-5l = 0).
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If it takes 1 printer 14 minutes to print a batch of leaflets, how long would it
take 2 printers to print the same number of leaflets?
2 printers takes 7 minutes to print the same number of leaflets.
From the question, we have
1 printers takes 14 minutes to print the leaflets.
2 printers takes = 14/2 = 7 minutes to print the leaflets.
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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Answer: 7
Step-by-step explanation: because 1 printer takes 14 mins but if u have 2 u half the 14 it gives you 7 so it will take 2 printers 7 mins to print the same amount of leaflets. hope this helps.
in need of help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2 pairs of parallel sides
Are the figures congruent?
what digitis in the ten thousands place of 8,675,309
Write a sentence for 2(3+5n)=an
The sentence which represents the algebraic equation is; "Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".
Which sentence represents the algebraic expression?It follows from the task content that the sentence which represents the equation given be determined.
First, the expression 3 + 5n can be interpreted as; the sum of 3 and 5 times a number, n.
Also, the expression "an" can be interpreted as the product of n and another number a.
Therefore, the whole equation; 2(3+5n)=an can be interpreted as;
"Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".
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Use the pie chart to answer the following questions:
STEP
1. How many studer ts would you expect to like Comedy in a class of 300
2. How many students would you expect to like Action in a class of 400?
3.How maby studeptstwould you expect to like Romance in a class of 350?
4. How many students would you expect to like Foreign in a class of 225?
5. How many students would you expect to like Horror in a class of 200?
6. How many students would you expect to like Science Fiction in a class of 175?
Comedy 27%
Action 18%
Romance 14%
Drama 14%
Horror 11%
Foreign 8%
Science 8%
fiction
1. The number of students like Comedy in a class of 300 are 81.
2. The number of students like Action in a class of 400 are 72.
3. The number of students like Romance in a class of 350 are 49.
4. The number of students like Foreign in a class of 225 are 18.
5. The number of students like Horror in a class of 200 are 22.
6. The number of students like Science friction in a class of 175 are 14.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The pie chart is,
Comedy 27%
Action 18%
Romance 14%
Drama 14%
Horror 11%
Foreign 8%
Science 8%
Now,
1. The number of students like Comedy in a class of 300 are;
= 27% of 300
= 27/100 x 300
= 81
Thus, The number of students like Comedy in a class of 300 are 81.
2. The number of students like Action in a class of 400 are;
= 18% of 400
= 18/100 x 400
= 72
Thus, The number of students like Action in a class of 400 are 72.
3. The number of students like Romance in a class of 350 are;
= 14% of 350
= 14/100 x 350
= 49
4. The number of students like Foreign in a class of 225 are;
= 8% of 225
= 8/100 x 225
= 18
5. The number of students like Horror in a class of 200 are;
= 11% of 200
= 11/100 x 200
= 22
6. The number of students like Science friction in a class of 175 are;
= 8% of 175
= 8/100 x 175
= 14
Thus, 1. The number of students like Comedy in a class of 300 are 81.
2. The number of students like Action in a class of 400 are 72.
3. The number of students like Romance in a class of 350 are 49.
4. The number of students like Foreign in a class of 225 are 18.
5. The number of students like Horror in a class of 200 are 22.
6. The number of students like Science friction in a class of 175 are 14.
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Question content area top
Part 1
A new bank customer with $ wants to open a money market account. The bank is offering a simple interest rate of %.
a. How much interest will the customer earn in years?
The Gourmand Cooking School runs short cooking courses at its small campus. Management has identified two cost drivers it uses in its budgeting and performance reports—the number of courses and the total number of students. For example, the school might run two courses in a month and have a total of 62 students enrolled in those two courses. Data concerning the company’s cost formulas appear below:
Fixed Cost per Month Cost per Course Cost perStudent
Instructor wages $ 2,970
Classroom supplies $ 310
Utilities $ 1,230 $ 65
Campus rent $ 4,900
Insurance $ 2,400
Administrative expenses $ 4,000 $ 46 $ 4
For example, administrative expenses should be $4,000 per month plus $46 per course plus $4 per student. The company’s sales should average $890 per student.
The company planned to run four courses with a total of 62 students; however, it actually ran four courses with a total of only 52 students. The actual operating results for September were as follows:
Actual
Revenue $ 52,280
Instructor wages $ 11,160
Classroom supplies $ 19,070
Utilities $ 1,900
Campus rent $ 4,900
Insurance $ 2,540
Administrative
expenses $ 3,858
Answer:
whats the question
Step-by-step explanation:
The operating profit for September was $168,418.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Using the given information, we can calculate the following:
Total fixed cost per month.
= Instructor wages + Classroom supplies + Utilities + Campus rent + Insurance + Administrative expenses
= $2,970 + $310 + $1,230 + $4,900 + $2,400 + $4,000
= $15,810
Variable cost per course.
= Cost per course for utilities + Cost per student for administrative expenses
= $65 + $4 = $69
Variable cost per student
= Sales revenue per student - Total variable cost per student
= $890 - $69
= $821
Using the planned number of courses and students, we can calculate the expected revenue:
Expected revenue.
= Planned number of courses x Planned number of students x Sales revenue per student
= 4 x 62 x $890 = $221,120
Using the actual number of courses and students, we can calculate the actual revenue and costs:
Actual revenue
= Actual number of courses x Actual number of students x Sales revenue per student
= 4 x 52 x $890
= $184,640
Total variable cost
= (Variable cost per course x Actual number of courses) + (Variable cost per student x Actual number of students)
= ($69 x 4) + ($4 x 52)
= $412
Total cost
= Total fixed cost + Total variable cost
= $15,810 + $412
= $16,222
Operating profit
= Actual revenue - Total cost
= $184,640 - $16,222
= $168,418
Therefore,
The operating profit for September was $168,418.
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Gayle Miller works 43 hours every week. Her weekly salary is $397.75. How much overtime does Gayle make each week?
Answer:
$9.25
Step-by-step explanation:
$397.75÷43=$9.25
Weekly salary divided by hours of work = hourly pay
How much must be deposited today into the following account in order to have $50,000 in 7 years for a down payment on a house? Assume no additional deposits
are made.
An account with quarterly compounding and an APR of 5.9%
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$50000\\ P=\textit{original amount deposited}\\ r=rate\to 5.9\%\to \frac{5.9}{100}\dotfill &0.059\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &7 \end{cases}[/tex]
[tex]50000=P\left(1+\frac{0.059}{4}\right)^{4\cdot 7} \implies 50000=P(1.01475)^{28} \\\\\\ \cfrac{50000}{(1.01475)^{28}}=P\implies 33183.05\approx P[/tex]
1. How many games did each team play? The men played
Describe the slope of the line
Find the slope
m=??
Answer: 2.333333...
Step-by-step explanation:
If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that [tex]m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...[/tex]
(−3,y) and (x,2).
y=−2x+2
Step 1 of 2 : Compute the missing x and y values so that each ordered pair will satisfy the given equation.
Complete the table below.
x y
row 1−3 Answer
row 2 Answer
2
The value of x in the second ordered pair is - 0.5 or - 1/2 and that of y in the first ordered pair is 8.
The given ordered pair is (-3,y) and (x,2)
the equation y=-2x+2
In the first step we put the value of x as -3 as given in (-3,y) in the equation y=-2x+2, we get
y=-2(-3)+2
⇒y=6+2
⇒y=8
So the value of y is 8 then the ordered pair will be (-3,8).
Again, in the second step, we put the value of y as 2 as given in (x,2) in the equation y=-2x+2, and we get
2=-2x+2
⇒2x=2-2
⇒2x=0
⇒x=0
So the value of x is 0, and the ordered pair will be (0,2).
The table:
# Value of x Value of y 1 -3 8 2 0 2I have provided a photo of the table:
the set of the sets of odered pairs shown represents a function of f. {(-5,3), (4,9), (3,-2). give an orderd pair that could be added to the set so that it remains a function
The three ordered pairs that could be added to the set so that f remains a function is D) (-3, -2), (1, 6), and (2, 3)
How to get the ordered pairs?We are told that the displayed set of ordered pairs represents a function f.
{(-5,3),(4,9),(3,-2),(0,6)}
We must determine which three ordered pairs can be added to the set while the function remains unchanged. It is a mapping between elements of two sets A and B, with each element of set A uniquely mapped to each element of set B.
Alternatively, we can say that each element has only one image. For D,(-3,-2),(1,6) and (2,3) (2,3)
The image of f -3 is -2.
The image of one is six.
3 is the image of 2
It is correct because each element has a unique image while maintaining the same function.
As a result, option D is correct.
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Complete question
The set of ordered pairs shown represents a function f. {(-5, 3), (4, 9), (3, -2), (0, 6)} Which three ordered pairs could be added to the set so that f remains a function? a. (-3, -2), (4, 0), and (0, -1) B) (1, 6), (2, 3), and (-5, 9) C) (4, 0), (0, -1), and (-5, 9) D) (-3, -2), (1, 6), and (2, 3)
Can you please help and finish with steps by 8/11/2022 PLEASE !
Answer:
squares: 1, 36, 64, 289, 324cubes: 1, 64, 125, 216, 512Step-by-step explanation:
You want lists of the perfect squares and perfect cubes from the set {1, 36, 64, 98, 125, 216, 289, 324, 480, 512}.
Perfect squaresA "perfect square" is the square of an integer, the value obtained by multiplying the integer by itself.
Squares of numbers 1–10 are ...
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
And from 11–20:
121, 144, 169, 196, 225, 256, 289, 324, 361, 400
The squares on your list are 1, 36, 64, 289, 324.
Perfect cubesA "perfect cube" is the cube of an integer, the value obtained by using the value 3 times as a factor in a product. (n³ = n×n×n)
Cubes of numbers 1–10 are ...
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
The cubes on your list are 1, 64, 125, 216, 512.
__
Additional comment
Any integer to the 6th power will be both a perfect square and a perfect cube. The integers 1 = 1⁶, 64 = 2⁶, and 729 = 3⁶ are such numbers.
A species of animal that has an initial population of 215 experiences uninhibited growth. The rate of growth is 16.63%. About how long does it take the population to grow to 1134? Round to the nearest tenth.
The exponential growth of 16.63% will take approximately 10.80 years to reach a population of 1134
Exponential FunctionAn exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations and so on.
Data;
Initial population = 215rate = 16.63%Final Population - 1134Time = ?f(x) = P(1 + r)ˣ
x = time
Substituting the values
1134 = 215(1 + 0.1663)^ˣ
x = 10.80
It will take approximately 10.8 years to reach a growth of 1134
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Answer: The correct answer is "10.0 years"
Step-by-step explanation:
I took the test
PLEASE HELP ME ON THIS LOL I CAN'T FIGURE IT OUT
The equation of a line perpendicular to the line 2x - 5y = 5 is 10x + 4y = 3.
How to find equation of a line?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptThe product of the slope of perpendicular lines is equals to negative 1.
Therefore, the slope of the equation 2x - 5y = 5.
Hence,
2x - 5y = 5.
2x - 5 = 5y
y = 2 / 5 x - 1
Therefore, the slope is 2 / 5. Therefore, the slope of the equation will be - 5 / 2.
using
y = - 5 / 2 x + b
Hence, the equation is 10x + 4y = 3.
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PLS PLS PLS HELP!!!!!
The triangle in option (a) is an equilateral triangle in option (b) is isosceles and the triangle in option (c) is a scalene triangle.
What is a triangle?A triangle is a 3-sided shape occasionally referred to as a triangle. Every triangle has three sides and three angles, some of which may be the same.
An equilateral triangle is a triangle whose all sides are equal.
As below the triangle in option (a) with the purple marks has all sides are same thus it will be equilateral.
An isosceles triangle is a triangle whose two sides are the same.
In option (b) triangle the (blue marked) has two equal sides thus it will be isosceles.
A scalene triangle is a triangle with all unequal lengths in option (c) (green mark) all sides are unequal.
Hence "The triangle in option (a) is an equilateral triangle in option (b) is isosceles and the triangle in option (c) is a scalene triangle".
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Complete the proof by choosing the correct "Reason".
The completed table of the two column method to prove DE = FD is presented as follows;
Statement [tex]{}[/tex] Reason
1. CE = CD + DE[tex]{}[/tex] Segment addition postulate
2. FG = FD + DG [tex]{}[/tex] Segment addition postulate
3. CE = FG [tex]{}[/tex] Given
4. CD + DE = FD + DG [tex]{}[/tex] Substitution property of equality
5. CD = DG [tex]{}[/tex] Given
6. DG + DE = FD + DG [tex]{}[/tex] Substitution property of equality
7. DE = FD [tex]{}[/tex] Subtraction property of equality
What is a two column method, used to prove a statement in mathematics?A two column method consists a number of statements alongside the reasons that are known to make the statements true.
The segment addition postulate state that a point B is located on a segment AC if and only if AB + BC = AC, therefore;
CE = CD + DEFG = FD + DGThe substitution property of equality states that if a = b, and a + c = d, then b + c = d
Which gives;
CE = CD + DEFG = FD + DGCE = FG, then, CD + DE = FD + DGSimilarly; CD = DG, then DG + DE = FD + DG
The subtraction (and addition) property of equality states that a quantity of known value can be subtracted (or added) to both sides of an equation and both sides of the equation remains equal.
Mathematically, if x = y, then x - z = y - z, therefore;
DG + DE = FD + DGThen;
DG + DE - DG = FD + DG - DG∴ DE = FD
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write an equivalent ratio for each given ratio.
Answer:
what are the given ratio?
Step-by-step explanation:
what is the rate of acceleration of a bycycle if it went from a complete stop to 15 meters per second in 5 seconds ILL MAKE U BRAINLIEST
The rate of acceleration of a bicycle. if it went from a complete stop to 15 meters per second in 5 seconds is
How to calculate the rate of accelerationacceleration is solved using the formula
a = (v - u) / t
definition of variables
final velocity = v
initial velocity = u
time taken = t
form the question we have that
v = 15 meters per seconds
u = 0 (bicycle went from complete stop)
t = 5 seconds
a = (15 - 0) / 5
a = 15 /5
a = 3 meters per seconds squared
The bicycle is travelling at an acceleration of 3 meters per seconds squared
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Find the solutions of the quadratic equation −x^2 + 3x − 3 = 0
A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for producing x T-shirts is
C = 1,780 + 7x,
and the total revenue R (in dollars) is
R = 14x.
Find the profit (in dollars) obtained by selling 275 T-shirts per day.
Answer:
The profit from selling 275 shirts is 3,995
Step-by-step explanation:
P= R-C
P=14x- (1,780+7x)
since we are producing 275 shirts substitute that for x
P=14(275)-1,780+7(275)
P=3850-1780+1925
P=2070+1925
P=3995
What is the mean ,Median and mode of these values 300,285,200,50,150,50,80,50,250,50,185,250
Answer: mode 50 Mean x¯¯¯ 158.33333333333
Median x˜ 167.5
Step-by-step explanation: hope this helps
Range 250
Minimum 50
Maximum 300
Count n 12
Sum 1900
The pH of solution measures its acidity and can be determined using the formula pH= -log(base of 10 )C, where is the concentration of hydronium ions in the solution. measured in moles per litre .A lower pH indicates a more acidic solution.
Determine whether the unknown liquid is more or less acidic then the coffee ( pH=-4.886)
if that liquid has 10 times the concentration ions of the coffee.
The pH of the liquid which is 3.886 indicates that it is more acidic than coffee.
What is the pH of a solution?The pH of a solution gives a measure of the concentration of hydronium ions in the solution, and therefore, indicates the level of acidity or basicity of the solution.
pH = -㏒₁₀CpH values ranges from 0 to 14, with solutions that are more acidic having a pH of less than 7, while basic solutions have a pH of more than 7.
The given pH of coffee = -4.886
The concentration of the liquid = 10 × The concentration of the ions in coffee
Which gives;
-㏒₁₀C = 4.886
Concentration of the hydronium ions in coffee, C = [tex]10^{(-4.886)}[/tex]
Concentration of ions in the unknown liquid = 10 × [tex]10^{(-4.886)}[/tex] = [tex]10^{(-3.886)}[/tex]
pH of the unknown liquid = [tex]-log_{10} \left(10^{(-3.886)}\right) = 3.886[/tex]
The pH of the unknown liquid indicates that it is more acidic than coffee
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