The salesperson earns a commission of $391
The total amount of merchandise that he sold is $2300
The commission rate is given by
\(r=\frac{\text{commission amount}}{\text{ sold amount}}\)\(r=\frac{\$391}{\$2300}=0.17\)To convert the rate into percentage, multiply with 100%
\(r=0.17\cdot100=17\%\)Therefore, the commission rate is 17%.
Ellie completed an algebraic proof to show that V12 + V108 = 8 - 31.
=
V12 + 7108
122 + 1083
42. 33 + 362 - 31
8.32
Which expression can be placed in the blank to correctly complete Ellie's
proof?
Answer:
The answer to your question is given below.
Step-by-step explanation:
To know the correct answer to the question, do the following:
√12 + √108
= 12^½ + 108^½
= 4^½ • 3^½ + 36^½ • 3^½
Factorise
3^½ (4^½ + 36^½)
Recall:
4^½ = √4 = 2
36^½ = √36 = 6
Therefore,
3^½ (4^½ + 36^½) = 3^½ (2 + 6)
= 3^½ • 8
Each number in the table below represents the number of employees at different stores in two nearby malls.Part ADetermine the interquartile range for numbers of employees at each mall. Show your work or explain your reasoning.Part BWhich mall would you expect to have greater variability in regard to numbers of employees? Show your work or explain your reasoning.
Solution
Part A
For this case we need to remember that by deifnition the IQR is given by:
IQR= Q3-Q1
Where:
Q3= third quartile and Q1= First quartile
Then we can find the values for each mall and we have:
Vallet View Mall
Q3=24.5 , Q1= 6 IQR= 18.5
Lone Pines Mall
Q3= 21.5 , Q1= 8 IQR= 13.5
Part B
Greater variablity with higher IQR then the answer is:
Vallet View Mall
Since the IQR = 18.5 higher than the Lone Pines Mall IQR of 13.5
Help me please!!!!!!!!
Answer:
The ratios are not equal, so this is not a dilation.
Step-by-step explanation:
4/3 is the first ratio
3/4 is the second ratio
Since these ratios are not equal there is not a dilation.
Lillian wants to give 1/3 of a pizza to each of six girls at her party
Answer:
\(Fraction = \frac{1}{18}\)
Step-by-step explanation:
Given
\(Pizza = \frac{1}{3}\)
\(Girls = 6\)
Required [Missing Information]
Determine the fraction each girl gets
To do this, we simply divide the pizza by the number of girls i.e.
\(Fraction = \frac{Pizza}{Girls}\)
\(Fraction = \frac{1}{3} / 6\)
Change / to *
\(Fraction = \frac{1}{3} *\frac{1}{6}\)
\(Fraction = \frac{1}{18}\)
Hence, each girl gets 1/18
(Can Someone Help Answer This Problem) + No Links
Answer:
50 + 100n
Step-by-step explanation:
The cost is the cost of the visit plus the cost of the cavities
50 + 100n where n is the number of cavities
Answer:
P = 50 + 100*n
Step-by-step explanation:
1. The visit is $50
2. Additional cavity is $100
3. n cavities would cost 100*n
a set of bivariate data was used to create a least-squares regression line. which of the following is minimized by the line?
The set of the bivariate data which is minimized by the line and used to create a least squares regression line is given by :
option B. The sum of all the squared residuals.
To get a set of bivariate data which help us to create a least squares regression line is :
Option A. The sum of the residuals : Here set values are positive and negative so total sum is zero.
Incorrect option.
Option B : Sum of squared residuals represents all the positive values.
By taking square error of the regression line get minimized by the line.
Correct option.
Option C. Absolute value of the residual will not give least squared regression line.
Incorrect option.
Option D. Outlies does not relate with regression line.
Incorrect option.
Option E. Slope will not define least squared value.
Incorrect option.
Therefore, the set of bivariate data representing least squared regression line is given by :
Option B . Sum of the squared residuals.
The above question is incomplete , the complete question is:
A set of bivariate data was used to create a least squares regression line. Which of the following is minimized by the line
A) the sum of the residuals
B) the sum of the squared residuals
C) the sum of the absolute value of the residuals
D) the influence of outliers
E) the slope
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What is the angle relationship between ZBAC and ZDCA?
F
R
G
The angle BAC and DCA are alternate interior angles , Option D is the right answer.
What are Parallel Lines ?
The lines in a plane which never intersect and are at a same distance always are called Parallel Lines.
In the given question it is given that there are two lines FG and DE
The lines are parallel to each other , and transversal are AC and BC .
The angle BAC and DCA are alternate interior angles as AC is the transversal of the parallel lines.
Option D is the right answer.
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please help!!!!! Its timed !!!!! Ill give out most brainly and extra points !!!
Find the value of x .. assume that segments that appear to be tangent are tangent .
We got x = 16.54 by using Pythagorean theorem .
What is the Pythagorean theorem in plain English?
According to Pythagoras's Theorem, the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. Perpendicular, Base, and Hypotenuse are the names of this triangle's three sides.angle of semicircle is always be 90° .
18² = 7.1² + x²
324 = 50.41 + x²
x² = 324 - 50.41
= 273.59
x = √ 273.59
x = 16.54
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What is the equation of this graphed line? Enter your answer in the slope-intercept form in the box.
Answer:
y = 2x + 2
Step-by-step explanation:
Answer: y=2x+2
Step-by-step explanation:
If f(x) = 3x - 4 and g(x) = x2, find the value of f(3) – g(2).
Answer:
for x=3
Step-by-step explanation:
What part of an hour passes from 3:12 p.m. to 5:30 p.m.?
Answer:
2.3 hours
Step-by-step explanation:
From 3:12 pm to 4:12 pm, one hour passes.
From 4:12 pm to 5:12 pm, another hour passes.
From 5:12 pm to 5:30 pm, there are 18 minutes that pass.
Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.
To convert this to a fraction, we can write:
2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours
So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.
You have to conduct a survey in your school to find out which mode of transportation students prefer the most. Arrange the steps for comple
this project in order from start to finish.
Answer:
Here are the steps for conducting a survey in your school to find out which mode of transportation students prefer the most, arranged in order from start to finish:
1) Define the objective: Clearly define the objective of the survey, which is to determine the preferred mode of transportation among students in your school.
2) Determine the sample size: Decide on the number of students you want to include in your survey. This will depend on factors such as the size of your school and the resources available for conducting the survey.
3) Design the survey questionnaire: Create a well-designed survey questionnaire that includes relevant questions about different modes of transportation. Ensure that the questions are clear, unbiased, and cover all the necessary aspects.
4) Seek necessary permissions: If required, seek permission from school authorities or relevant individuals to conduct the survey on school premises and to involve students.
5) Pre-test the survey: Before distributing the survey to the entire student population, pre-test the questionnaire on a small group of students to identify any potential issues or areas for improvement.
6) Distribute the survey: Once the questionnaire has been finalized and pre-tested, distribute it to the selected sample of students. Ensure that the survey is distributed in a fair and unbiased manner, taking into account the diversity of the student population.
7) Collect the survey responses: Set a specific timeframe for students to complete the survey and collect the responses. Consider using a combination of online platforms and physical collection methods to maximize participation.
8) Analyze the data: Once you have collected all the survey responses, analyze the data to determine the preferred mode of transportation among students. Use appropriate statistical tools and techniques to interpret the results accurately.
9) Present the findings: Prepare a report or presentation summarizing the survey findings. Include key insights, trends, and any significant findings related to the preferred mode of transportation among students.
10) Share the results: Share the survey results with the school community, including students, teachers, and administrators. This can be done through presentations, newsletters, or other suitable communication channels.
By following these steps, you will be able to conduct a comprehensive survey to determine the preferred mode of transportation among students in your school.
Hope this helps!
I can not do it for you but I can give you what you should do
Explanation: take a survey
Proceed as in Example 5 of Section 2.2 and find an explicit solution of the given initial-value problem. dy/dx = ye-x^2, y(5) = 1
Rearranging the equatiοn, we οbtain the final sοlutiοn:\(y = -2e {-x^2} + 2e^{-25}.\)
What is equatiοn?It cοnsists οf twο expressiοns, οne οn each side οf the equals sign. It can be used tο sοlve fοr a desired unknοwn, οr tο shοw a relatiοnship between twο οr mοre variables. Equatiοns can invοlve numbers, variables, οperatiοns, and even unknοwns. In additiοn, equatiοns can be used tο express relatiοnships between physical phenοmena.
Tο sοlve this initial-value prοblem, the first step is tο separate the variables and integrate the differential equatiοn.
By separating the variables, we οbtain:
\($=>\frac{dy}{e{-x^2}} = dx\)
\($=>\int \frac{dy}{e {-x^2}} = \int dx\)
Integrating the Ieft side gives:
\($=>\int \frac{dy}{e {-x^2}} = y\int e {-x^2}dx\)
=>\(\int \frac{dy}{e {-x^2}} = y\int e {-u}\frac{du}{2x}\)
lntegrating the right side gives:
\($=>\int \frac{dy}{e {-x^2}} = \frac{y}{2}\int e {-u}du\)
The integral οn the right side is an expοnential integral and can be evaluated using the fοrmula:
\(=>\int e {-u}du = -e {-u} + C\)
Substituting u = x², the equatiοn becοmes:
\($=>\int \frac{dy}{e {-x^2}} = -\frac{y}{2}e {-x^2} + C\)
Tο find the cοnstant C, we use the initial cοnditiοn οf y(5) = 1 and get:
\($=>\int \frac{dy} {e {-x^2}} = -\frac{1}{2}e {-25} + C\)
Rearranging the equatiοn, we οbtain the final sοlutiοn:
\(y = -2e {-x^2} + 2e {-25}\).
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por favor es muy urgente!!!
Step-by-step explanation:
multiply them for example 12 times 16 equal 192m
Please please please help. I'm in honor's geometry and if I don't get my grade at least to a C, I'm going to fail
In the diagram below, m is the perpendicular bisector of BC.
If BK = 5x, AC = 6x + 7, CP = 4x, AB = 9x – 14. Find BC
Answer:
BC = 56 units
Step-by-step explanation:
since the main diagonal AK bisects the diagonal BC , then the figure is a kite.
• the disjoint pairs of consecutive sides are congruent in a kite, that is
AB = AC and BK = CK
using the pair AB = AC to solve for x
9x - 14 = 6x + 7 ( subtract 6x from both sides )
3x - 14 = 7 ( add 14 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Since m bisects BC , then
CP = PB and
BC = CP + PB = 4x + 4x = 8x
then
BC = 8x = 8 × 7 = 56
Hey can someone please help me with this
HELP NEEDED ASAP
2. Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1
a) Graph the five key points of Parent function on the provided grid. [1mark]
b) State the following for the transformed function [2marks]
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=
c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)
The five key points of the parent function are:
Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)The five key points of the parent functionThe function is given as:
y = -2 sin[2(x - 45)] + 1
The above function is a sine function, and the parent function of a sine function is
y = sin(x)
The properties of the above function are:
Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)The transformed functionThe transformed function is given as:
y = -2 sin[2(x - 45)] + 1
A sine function is represented as:
y = A sin[Bx + C] + D
Where:
A represents the amplitudePeriod = 2π/BC represents horizontal phase shiftUsing the above representations, we have:
Amplitude = -2Period = 2π/2 = πHorizontal phase shift, C = 2 * -45 = -90Equation of the axis, y = 1The graph of the functionSee attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1
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Cold Beans wants to make a blend of their two best coffees, Guatemalan and Jamaican coffee. The pound of Guatemalan Coffee costs $11/lb and the other one costs $5/lb. If they want the cost of a 6 pound bag of blend to be $8/lb, how much Guatemalan coffee should they use per pound of the blend?
For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.
This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.
Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.
Given information:
Cost of Guatemalan coffee = $11/lb
Cost of the other coffee = $5/lb
Desired cost of the blend = $8/lb
Total weight of the blend = 6 pounds
To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:
\((x \times 11 + (6 - x) \times 5) / 6 = 8\)
In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.
The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.
Now, let's solve the equation for x:
(11x + 30 - 5x) / 6 = 8
6x + 30 = 48
6x = 48 - 30
6x = 18
x = 18/6
x = 3
Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.
This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.
To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.
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Walmart was having a sale on video games. They offered a 15% discount on a game that was originally priced at $30. After the sale, the discounted price of the game was increased by 10%. What is the new price of the game after this increase?
Answer:
28.05$
Step-by-step explanation:
The game got a discount of 15%.
New price is (30$) ( 0.85 ) = 25.5$ (since the discount is 15% you only pay for the 85% of the original price)
Then an increase of 10%. this is:
New price: 25.5$ (1.10) = 28.05
New price is 28$ with 5 cents
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what is 7.8 times 1 over 10?
what is 3.1 times 1 over 10?
what is 11.8 times 1 over 10?
Answer:
0.70
0.31
1.18
Step-by-step explanation:
0.70
0.31
1.18
Clarence walks 3.1 miles around Lake Johnson every day for five days.
If it takes him a total of 6 hours to walk the 15.5 miles, what is his
average time per day?
minutes per day.
Answer:
Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day
Step-by-step explanation:
To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.
Let's calculate his average time per day:
Average time per day = Total time / Number of days
Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:
Average time per day = 6 hours / 5
Average time per day = 1.2 hours per day
To convert hours to minutes, we'll multiply the average time per day by 60:
Average time per day = 1.2 hours * 60 minutes
Average time per day = 72 minutes per day
Therefore, Clarence's average time per day is 72 minutes.
Cai says you can divide both quantities in a ratio by the same non-zero number to find an equivalent ratio. Explain why cai is correct.
In this case, Cai is right.
Basically, Cai is right because a ratio is a fraction. So, if you divide the numerator and denomirator by the same number, the fraction won't be changed, in that case you would get an equivalent fraction.
For example, if we have 4/6, and we divide both numbers by 2, we get 2/3, these operations are valid because you are dividing both numbers by the same (2).
estellano Rosales, FABIAN A cone and a cylinder with their dimensions are shown in the diagram. 8 in. 8 in. A - 6 in. - 6 in. Which measurement is closest to the difference between the volumes of these figures in cubic inches?
Answer:151 in.³
Step-by-step explanation:
PLEASE HELP ME‼️(IMAGE ATTACHED)
Solve the system of equations using determinants.
3x + 5y = 27
2x - y = -8
Find the values of determinants D, Dx and Dy
D=?
Dx=?
Dy=?
By simplificatiοn, the values οf the determinants are D = -13, Dx = -11, Dy = -60
What is a determinant οf a matrix?A determinant is a scalar value assοciated with a square matrix. The determinant οf a matrix can be used tο determine whether a matrix is invertible (i.e., has an inverse matrix) and whether a system οf linear equatiοns has a unique sοlutiοn, nο sοlutiοn, οr infinitely many sοlutiοns.
For a 2x2 matrix A = \(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]\), the determinant is calculated as det(A) = ad - bc
To solve the system of equations using determinants, we need to set up the following matrix:
\(\left[\begin{array}{ccc}3&5\\2&-1\\\end{array}\right]\)
The determinant οf this matrix (D) is fοund by using the fοrmula:
D = (3)(-1) - (5)(2) = -13
Tο find the value οf Dx, we replace the x-cοefficients in the matrix with the cοnstants frοm the equatiοns:
\(\left[\begin{array}{ccc}27&5\\-8&-1\\\end{array}\right]\)
Then, we find the determinant οf this matrix:
Dx = (27)(-1) - (5)(-8) = -11
Tο find the value οf Dy, we replace the y-cοefficients in the matrix with the cοnstants frοm the equatiοns:
\(\left[\begin{array}{ccc}3&27\\2&-8\\\end{array}\right]\)
Then, we find the determinant οf this matrix:
Dy = (3)(-8) - (27)(2) = -60
Therefore, the values οf the determinants are:
D = -13
Dx = -11
Dy = -60
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7^2 . 7^8 / 7^4 = 7^a/ 7^4 =7b a= b=
Your school’s track teams have been training hard for the entire season. There is a girls’ track team and a boys’ track team. The running times for each girl and boy were recorded after each race. You will use the results to help you answer questions about fractions and mixed numbers. Use what you know about adding and subtracting fractions and mixed numbers during the project.
i took too many pills counting up the bills
Molly in my cup i can't tell you how it feel
Answer:
errday i b countin up countin up da blues count away sometimes we always lose
Step-by-step explanation:
juice wrld
Answer:
juice wrld
Step-by-step explanation:
Lynn estimates that a roofing job will cost $1500. Bo0 estimates that the same job will cost $2400. what is the ratio of Lynn's estimates to Bo's estimates?
The ratio is
Lynn's estimate / Bo's estimate
1500/2400
We simplify the expression above and we obtain the ratio.
the ratio is
5/8
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A dog is tied with a rope to a stake in the ground. The length of the rope is 10 yards.
What is the area, in square yards, in which the dog can roam?
1) 1001
2) 100x yd.2
3) 100 yd.2
4) 20ryd.
Answer:
i think it is number 1
Step-by-step explanation: