car rental agency has two locations in a city. The boxplots below summarize the miles driven for one day of single day car rentals at each location Location A DO Location B 0 100 300 400 200 Miles Driven Based on the boxplota, which statement provides the best comparison of the two locations?A. The number of single day rentals is greater for location A than for location B. The number of single day rentals in less for location A then for location . C Compared with location A, the miles driven for location display more variability and the median is greater D. Compared with location A, the miles driven for location display lese variability, and the median in greater E. Compared with location A, the miles driven for location display less variability, and the median is about the name
Among the given statements, the following statement "Compared with location A, the miles were driven for location B display more variability and the median is greater" provides the best comparison of the two locations.
Hence, option (C) is the correct choice.
For finding the interquartile range for location, first, find the median (middle value) of the bottom half and upper half of the data before calculating the interquartile range (IQR). Quartile 1 (Q1) and Quartile 3 are these values (Q3). The IQR represents the variation between Q3 and Q1.
The interquartile range for location B is Q3 - Q1 = almost 140 - 40 = 100, while it is Q3 - Q1 = nearly 60 - 40 = 20 for location A.
Therefore, the miles travelled for position B are more variable than they are for place A.
Greater than Location A's almost 50 medians is Location B's nearly 80 median.
Therefore, location B's median miles driven is higher than it is for location A.
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The graph shows Michaela’s earnings over time. Marcus’s hourly rate is represented in the table. Who has a greater rate of pay, and how much more than the other will that person earn in 40 hours of work?
A. Complete the table, write an equation, and graph Marcus’s earnings A over time t.
k = 19/2 = ? A = ?
B. Use the graph to determine who is earning a greater rate of pay. Explain how you know.
C. What information do you still need in order to solve the problem? Solve the problem and show your work.
I still need...
Michaela
?/10 = k, or k = ?
A = kt
A = ?t
A = ? (?) = $480
Marcus:
A = kt
A = ?t
A = ? (?) = ?
The completed table is given as follows:
Earnings of $19.00 in 2 hours.Earnings of $38 in 4 hours.Earnings of $47.50 in 5 hours.Earnings of $57 in 6 hours.Earnings of $76 in 8 hours.The greater rate is that of:
Michaela.
The difference for 40 hours of work is given as follows:
$100.
Marcus' graph is given by the image at the end of the answer.
What is a proportional relationship?A proportional relationship is a linear function with an intercept of zero modeled as follows:
y = kx.
In which k is the constant of proportionality.
From the table, Marcus' hourly rate is given as follows:
k = 19/2 = 9.50.
Hence the proportional relationship is:
y = 9.5x.
Which is graphed at the end of the answer.
The table is completed as follows:
When time = 4, y = 9.5(4) = $38.When time = 5, y = 9.5(5) = $47.50.When earnings = 57, time = 57/9.5 = 6.When earnings = 76, time = 57/9.5 = 8.From the graph, Michaela's hourly rate is given as follows:
120/10 = $12.
Which is greater than Marcus'.
The hourly difference is given as follows:
12 - 9.5 = 2.5.
Hence the difference for 40 hours is given as follows:
40 x 2.5 = $100.
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If a =2+√5/2 find the value of a2 +1/a2
.
Answer:4.9
Step-by-step explanation:
if a=2√5/2 it means it is equal to 2.23
So (2.23×2)/2+1/(2.23×2)
it means a2+1/a2=(2.23×2)/2+1/(2.23×2)= 2.23+0.22=4.9
What is the example of SAS congruence postulate?
PLEASE SOLVE WILL GIVE BRAINLIEST (solve second problem )
Answer:
f(x) and g(x) have the same y-intercept.
point b and c are on the opposite edges of a pond . find the length of the pond , a student of a class X makes a right triangle using a rope connecting a point b with anotther point a at a distance of 24 cm from it and connecting point c to a point at the distance of 60 cm from c and then connecting d to the point a , which is at the distance of 80 cm from it such that angle ADC = 90
Answer:
Step-by-step explanation:
It sounds like you have a right triangle with one angle of 90 degrees and the lengths of the sides are 24 cm, 60 cm, and 80 cm. If this is the case, then you can use the Pythagorean theorem to find the length of the hypotenuse, which is the side opposite the right angle.
The Pythagorean theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, we have:
c^2 = a^2 + b^2
c^2 = 24^2 + 60^2
c^2 = 576 + 3600
c^2 = 4176
c = 64.47214
So the length of the hypotenuse, or the length of the pond, is approximately 64.47214 cm.
Which point on the number line represents the approximate volume of a cone with a radius of 3 units and a height of 4 units? Use 3.14 for π.
The point on the number line which represents the approximate volume of the cone is 38.
What is Cone?A cone is a figure in three dimensional geometry for which it has a circular base and the plane formed by set of all the points on the base connected to a point called vertex which is not located on the base.
Volume of a cone = [tex]\frac{1}{3}[/tex] π r² h, where r is the radius, h is the height of the cone and π is the pi constant with value 3.14.
Here, r = 3 units and h = 4 units.
Volume = [tex]\frac{1}{3}[/tex] π r² h
= [tex]\frac{1}{3}[/tex] × 3.14 × 3² × 4
= 37.68 unit³
≈ 38 units³
Hence the point 38 on the number line represents the approximate volume of the cone.
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Answer:
38-- the dot close to 40
Step-by-step explanation:
100 PTS HELP
Use the distributive property or simplify to match the equivalent expressions.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
(3 × 4) + (3 × 7)
7(60 + 6)
32 +16 = 48
4(100 − 3)
(5 × 9) − (5 × 6)
(3 × 4) + (3 × 7) = 12 + 21 = 33
7(60 + 6) = 7(66) = 462
4(100 − 3) = 4(97) = 388
(5 × 9) − (5 × 6) = 45 − 30 = 15
So, the correct input-output pairs are:
(3 × 4) + (3 × 7) = 33
7(60 + 6) = 462
4(100 − 3) = 388
(5 × 9) − (5 × 6) = 15
Answer: 33,462,48,388, and 15
Step-by-step explanation:
Use the zero product to find the solutions to the equation x*2+x-30=12
A. x=-7 or x=6
B. x= -7 or x =-6
C. x= -6 or x = 7
D. x=6 or x =7
Using the zero product, the solutions to the equation x² + x - 30 = 12 are A. x=-7 or x=6
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
x^2 + x - 30 = 12
Express the exponent as a proper superscript
So, we have the following representation
x² + x - 30 = 12
Subtract 12 from both sides
This gives
x² + x - 42 = 0
Expand
x² + 7x -6x - 42 = 0
When the equation is factored, we have
(x +_7)(x - 6) = 0
Solve for x
x = -7 and x = 6
Hence, the solutions are x = -7 and x = 6
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Two congruent ellipses are perpendicular to each other. Squares fill the gaps between the two ellipses as shown. Show that the side of the square equals half the minor axis of the ellipse.
The side of the square equals half the minor axis of the ellipse.
To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.
Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.
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What is the range of the relation plotted on
the graph?
A. {-1, 0, 1, 3}
B. (-2, 0, 1, 3}
C. {-2, -1, 0, 1, 2, 3}
D. {0, 1, 2, 3}
The range of the relation plotted in the graph is {-2, 0, 1, 3}.
What is the range?Range is a statistical measure of dispersion in mathematics, or how widely spaced a given data collection is from smallest to largest.
Given, A relation plotted on the graph in that there are four points whose coordinates are (0, -2), (3, 0), (-1, 1), and (1, 3)
Since The y-axis on a graph represents the possible output values, or range. Remember that the domain and range of the graph may be larger than the values seen if the graph extends beyond the area that is visible.
Therefore, The graphed relation's range is between -2, 0, 1, and 3.
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On average, Jack can fold his laundry in 30 minutes but, depending on how how much laundry he has, his time can vary from the average by 10 minutes.
Which absolute value equation can be used to calculate Jack's maximum and minimum time to fold his laundry?
Let x represent the maximum and minimum time.
|x−10|=30
|x+10|=30
|x+30|=10
|x−30|=10
|x - 30| = 10 is the correct equation for calculating Jack's maximum and minimum time to fold his laundry. he correct option is D.
How to illustrate the equation?The problem statement says that Jack's time can vary from the average of 30 minutes by 10 minutes. This means that the maximum and minimum time will be 30 minutes plus or minus 10 minutes, or 40 minutes and 20 minutes, respectively. We can represent these values using the variable x.
The maximum time will be represented by x + 10 and the minimum time will be represented by x - 10. We can use the absolute value function to represent the difference between these two values and the average time of 30 minutes.
The absolute value function is represented as |x|. The absolute value of x is the distance between x and 0 on a number line. For example, the absolute value of -5 is 5, because the distance between -5 and 0 on a number line is 5 units.
Using the absolute value function, we can represent the difference between the maximum and minimum times and the average time of 30 minutes as follows:
|x + 10 - 30| = |x - 30| = 10
|x - 20| = 10
|x - 30| = 10
Therefore, the correct equation is |x - 30| = 10.
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Which of the following statement is INCORRECT? A large sample drawn from the population will guarantee accurate results. A sample is a subset drawn from a population of interest. A statistic is a number calculated based on a sample. A parameter is an unknown quantity about a population.
The incorrect statement is that a large sample drawn from the population will guarantee accurate results. So, correct answer is option (I).
Population: It Contains all elements of a dataset, and measurable properties of the population such as mean and standard deviation are called parameters. For example, "Everyone in India" refers to India's population.
Sample: It Contains one or more observations drawn from a population, the measurable property of the sample is a statistic. Sampling is the process of selecting samples from a population. For example, some people living in India are a sample of the population. A sample statistic (or just a statistic) is defined as any number calculated from sample data. Examples include sample mean, median, sample standard deviation, and percentile. From the above discussion it is clear that sample is subset of population set and statistic and poplution are related terms of sample and poplution respectively. So, all the statements are correct except statement (I).
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Complete question:
Which of the following statement is INCORRECT? I) A large sample drawn from the population will guarantee accurate results.
II) A sample is a subset drawn from a population of interest.
III) A statistic is a number calculated based on a sample.
IV) A parameter is an unknown quantity about a population.
let f(x) = 1 2x . compute lim h→0 f(5 + h) − f(5) h .
The value of f(5 + h) - f(5)h when h =0 is 60.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 12x
Now,
f(5 + h) = 12 (5 + h) = 60 + 12h
f(5) = 12 x 5 = 60
Now,
f(5 + h) - f(5)h
= 60 + 12h - 60h
h = 0
= 60 + 0 - 0
= 60
Thus,
The value of the limit is 60.
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Click on the graph until the graph that best represents the given statement appears.
Height Above Ground
Time
The graph consists of the relationship between the height of the object and time.
What is the graph?The graph is a demonstration of curves that gives the relationship between the coordinate axes x and y-axis.
here,
In the figure,
The graph shows the relationship between the height of the object dependent on time. Where the vertical axis represents the height of the object, and the horizontal axis represents the time.
Thus, the graph shows the relationship between the height of the object and time.
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bill invested some money at 5% annual interest, and Janette invested some at 7%. If thier combined interest was $310 on a total investment of 5,000, how much did bill invest?
Bill invested $2000 at 5% annual interest
How to determine how much Bill invested?
To solve for the word problem, you need to set up two equations.
Let B and J represent how much Bill and Janette invested respectively
The interest of 5% = 5/100 = 0.05 and 7% = 7/100 = 0.07
Based on the given info, we can write that:
J + B = 5000 --- (1)
0.05B + 0.07J= 310 --- (2)
From (1):
J = 5000 - B --- (3)
Put (3) in (2):
0.05B + 0.07(5000 - B) = 310
0.05B + 350 - 0.07B = 310
-0.02B = 310-350
-0.02B = -40
0.02B = 40
B = 40/0.02
B = $2000
Thus, Bill invested $2000
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"When 7 is added to 3 times a certain number,the result 22"
Answer:
The statement "when 7 is added to 3 times a certain number, the result is 22" can be written as an equation:
3x + 7 = 22
To solve for the unknown number (which we'll call "x"), we need to get x by itself on one side of the equation. We can do this by subtracting 7 from both sides of the equation:
3x + 7 - 7 = 22 - 7
Simplifying the left side gives us:
3x = 15
Finally, we can solve for x by dividing both sides of the equation by 3:
x = 15 / 3
= 5
So, the number that we were looking for is 5.
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
"When 7 is added to 3 times a certain number, the result 22"
Write this sentence algebraically.
7 + 3x = 22
We need to try and get 3x by itself to find its value, so subtract 7 from both sides.
3x = 22-7 = 15
3x = 15
3x simply means 3 multiplied by x.
So:
x = 15/3 = 5
x=5
the "certain number" is 5.
To check:
7 + 3x5 should equal 22.
7 + 15 = 22.
Hope this helps.
a parallelogram has one pair of opposite sides that measure 4 inches and another pair that measures 3 inches. find the area of the parallelogram.
The area of the parallelogram is 12 square units.
A parallelogram is a quadrilateral having opposing sides that are parallel, as its name indicates. As a result of this definition, the following properties of parallelograms are true: opposing sides and opposite angles are congruent, and two consecutive angles are supplementary.
A parallelogram's area is the area that it occupies in a two-dimensional plane.
A parallelogram is a special form of quadrilateral with two opposing sides that are parallel to one another. A parallelogram's opposing sides and angles are the same size and length.
Area = b × h Square units (Where “b” is the base and “h” is the height of the parallelogram)
Given that,
b = 4
h = 3
So. area = 3*4= 12 square units.
Thus, the area of the parallelogram is 12 square units.
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Select the correct answer.
If no denominator equals zero, which expression is equivalent to
Answer:
D
Step-by-step explanation:
[tex]\frac{15}{x-6}[/tex] + [tex]\frac{7}{x+6}[/tex]
before we can add the fractions we require them to have a common denominator.
the common denominator is (x - 6)(x + 6)
= [tex]\frac{15(x+6)}{(x-6)(x+6)}[/tex] + [tex]\frac{7(x-6)}{(x-6)(x+6)}[/tex]
= [tex]\frac{15x+90+7x-42}{(x-6)(x+6)}[/tex] ← expand denominator using FOIL
= [tex]\frac{22x+48}{x^2-36}[/tex]
Alexander was offered a job that paid a salary of $34,000 in its first year. The salary was set to increase by 4% per year every year. If Alexander worked at the job for 5 years, what was the total amount of money earned over the 5 years, to the nearest whole number?
The total amount that is earned by Alex in five years is $41528.
What is the total amount that he earns in five years?We have to note that we need to look at the equation that shows the raise in the salary of Alex and we can be able to write from the equation that;
A =Pe^rt
A = amount that is earned after t years
r = rate of the increase of the salary
t = time taken to increase the salary
We now know from the question that
A = ?
P = $34,000
r = 0.04
t = 5
Thus;
A = 34000e^(0.04 * 5)
A = $41528
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Jefferson needs 1.25 containers of clay for the volcano project. He wants to buy enough clay so that he and 3 of his friends can also make a volcano project. How much clay does Jefferson need to buy?
Answer:
3.75
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Jefferson plus 3 of his friends = 4 people
Each person needs 1.25 containers, so the total clay needed:
4 x 1.25 = 5 containers
HELPP!!! GIVING BRAINLIEST (IF THERES MULTIPLE ANSWERS)
Answer:
[tex]s=\sqrt[3]{V}[/tex]
Step-by-step explanation:
This is a problem in which we can utilize equation rules to solve for s. In order to isolate s, we need to remove that power of 3. To do that, we can take the cubed root of V. Thus, the answer is
[tex]s=\sqrt[3]{V}[/tex]
Answer: A
Step-by-step explanation: I took the test
9.) Jenny refinished a wooden table. She used 1/3 can of varnish for a first coat, 1/4 can for a second coat, and 1/6 can for a third coat. What fraction of the can did she use in all?
Answer:
9/12 or simplified as 3/4
Step-by-step explanation:
We are given 3 fractions that we have to add because the question says "What fraction of the can did she use in all?"
First: Write down [tex]\frac{1}{3} + \frac{1}{4} +\frac{1}{6}[/tex]
Then: We can't just add up all these fractions, we need a LCM. The LCM (Least Common Multiple) We need all the denominators (3, 4, and 6) to be the same. To do that we need to find a number that they can multiply to get. Let's find out all the multiples of each number: (just write the first 5 down because most of the time we can find it easily from this list)
3: 3, 6, 9, 12, 15
4: 4, 8, 12, 16, 20
6: 6, 12, 18, 24, 30
After: just change all the fractions one at a time by whatever you multiply the bottom number to get 12, do it to the top:
[tex]\frac{1}{3} -- > \frac{4}{12}[/tex]
[tex]\frac{1}{4} -- > \frac{3}{12}[/tex]
[tex]\frac{1}{6} -- > \frac{2}{12}[/tex]
Finally we get to add everything up to get:
[tex]\frac{4}{12} +\frac{3}{12} +\frac{2}{12} =\frac{9}{12}[/tex]
(simplified as 3/4)
Andy knows he has 2 spoons for every 3 forks in the silverware drawer. His mom told him there are a total of 39 forks in there. How many spoons should there be?
• 26 spoons
•20 spoons
30 spoons
13 spoons
Answer:
26 spoons
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{39}[/tex]
3 x 13 = 39
2 x 13 = 26
Edward drives his car 12,000 miles per year.how many kilometers does he drive per month
Edward drives 160.9 kilometres per month
How to calculate the distance that Edward travelled per month?Edward drives 12,000 miles per year
There are 12 months in a year, this means that Edward travels 12,000 miles in 12 month
The number of kilometres travelled per month can be calculated as follows
12,000= 12
x= 1
cross multiply both sides
x= 12,000/12
x= 100
The next step is to convert 100 miles to kilometres
100 × 1.609
= 160.9 kilometres
Hence Edward travelled 160.9 kilometres per month
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Solve the radical equation.
Check all solutions to eliminate extraneous solutions
and do not include them in your answer.
If your answer is not an integer then type it as a
decimal rounded to the nearest hundredth.
√2x+3-√x+2=0
x=
Check
There doesn't exist any extraneous solution for the given problem.
To assess whether or not your solutions are unnecessary, you must re-enter each one into the original equation.
When you square the two sides of a square root problem, there are two solutions, which leads to the appearance of extraneous solutions (the positive and negative number).
A solution that is added but does not fulfill the starting equation will therefore be represented by one of those figures.
Given, the equation is -
√2x+3-√x+2=0
⇒ √2x+3 = √x+2
Squaring on both sides
⇒ 2x + 3 = x + 2
⇒ 2x - x = 2 - 3
⇒ x = -1
Now, putting x = -1 back in the question,
⇒ √1 = √1
Hence, LHS = RHS, therefore, there doesn't exist any extraneous solution.
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what is the number of pieces for each one and the total cost for each one pls and thank you
The number of pieces and total cost of each shape is as follows;
1) Number of pieces = 6
Total Cost = 6 * 0.12 = $0.72
2) Number of pieces = 4
Total Cost = 4 * 0.66 = $2.64
3) Number of pieces = 3
Total Cost = 4 * 0.02 = $0.08
4) Number of pieces = 4
Total Cost = 4 * 0.04 = $0.16
5) Number of pieces = 4
Total Cost = 4 * 0.04 = $0.16
6) Number of pieces = 4
Total Cost = 4 * 0.02 = $0.08
How to find the total cost of the pieces?1) This piece is a hexagon which has 6 sides and as such;
Number of pieces = 6
Cost of each piece = $0.12
Total Cost = 6 * 0.12 = $0.72
2) This piece is a trapezium which has 4 sides and as such;
Number of pieces = 4
Cost of each piece = $0.66
Total Cost = 4 * 0.66 = $2.64
3) This piece is a Triangle which has 3 sides and as such;
Number of pieces = 3
Cost of each piece = $0.02
Total Cost = 4 * 0.02 = $0.08
4) This piece is a square which has 4 sides and as such;
Number of pieces = 4
Cost of each piece = $0.04
Total Cost = 4 * 0.04 = $0.16
5) This piece is a rhombus which has 4 sides and as such;
Number of pieces = 4
Cost of each piece = $0.04
Total Cost = 4 * 0.04 = $0.16
6) This piece is a rhombus which has 4 sides and as such;
Number of pieces = 4
Cost of each piece = $0.02
Total Cost = 4 * 0.02 = $0.08
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wha is the equation of the line that passes through the point (-4,1) and has a slipe of -3/2
The equation that passes through the point (-4,1) y=-3/2x-5
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here, the line that passes through the point (-4,1) and has a slope of -3/2 then let the equation of the line be y=mx+c then we get
⇒1= -3/2×-4+c
⇒c= -5
Hence, The equation that passes through the point (-4,1) y=-3/2x-5
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If you place a 24-foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer:
9.5ft
Step-by-step explanation:
a²+b²=c²
equation
24²=c²
22²=a²
put in the variables
24²-22²=b²
Rearrange the equation
576-484=92
square
√92
Square root answer
9.5ft
Answer
Assume that the custodian of a $450 petty cash fund has $62 in coins and currency plus $383 in receipts at the end of the month. The entry to replenish the petty cash fund will include:.
The entry to replenish the petty cash fund will include:.
Receipts = $383
Cash short of = $5
To replenish the petty cash fund , we need $387.
A fund is a pool of money that is allocated for a specific purpose. A fund can be established for many different purposes: a city government setting aside money to build a new civic center, a college setting aside money to award a scholarship or an insurance company that sets aside money to pay its customers’ claims. Individuals, businesses, and governments all use funds to set aside money. Individuals might establish an emergency fund—also called a rainy-day fund—to pay for unforeseen expenses or a trust fund to set aside money for a specific person.
Total Receipts and Coin = Coins in Cash Fund + Currency Plus in Receipts = $62 + $383
= $445
Shortage of Petty Cash Account
= $445 - $450
= - $5
For recording this we debited the petty cash receipts as it increased the assets and credited the cash as it decreased the assets and the balancing is transferred to cash short and over
Thus, The entry to replenish the petty cash fund will include:.
Receipts = $383
Cash short of = $5
To replenish the petty cash fund, we need $387.
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