Justin and TJ are servers at a local restaurant. The table below shows the tips they earned.
Which student has a higher median tip for the week and by how much?
Answers
Answer:
1. For the median (as per the question posted): the median of Justin's earnings is more than the median of TJ's earnings
Difference = $3
2. For the mean (as per the requirement in the image): the mean of TJ's earnings is more than the mean of Justin's earnings
Difference = $4
Explanation:
The complete question is shown in the attached image
1. The median:
It is defined as the value found in the middle of a set of arranged data/numbersIf the set has odd number of data, then the median is simply the middle valueIf the set has even number of data, then the median is the average of the two middle valuesTo get the median, we need to first arrange the given dataa. For Justin:
He earned the following: $32, $45, $50, $33 and $50
Arranging the data: $32, $33, $45, $50 and $50
The middle value is: $45
The median is: $45
b. For TJ:
He earned the following: $58, $48, $40, $42 and $42
Arranging the data: $40, $42, $42, $48 and $58
The middle value is: $42
The median is: $42
c. Comparing the medians:
From the above, we can conclude that the median of Justin's earnings is more than the median of TJ's earnings
Difference = $45 - $42 = $3
2. The mean:
It is defined as the average value of a set of dataIt is calculated by summing the values in the set and then dividing this sum by the number of vales in the seta. For Justin:
He earned the following: $32, $45, $50, $33 and $50
Summing the data: $32 + $33 + $45 + $50 + $50 = 210
Number of values in the data= 5
The mean is: [tex]\frac{210}{5}=42[/tex]
b. For TJ:
He earned the following: $58, $48, $40, $42 and $42
Summing the data: $40 + $42 + $42 + $48 + $58 = $230
Number of values in the data: 5
The mean is: [tex]\frac{230}{5} = 46[/tex]
c. Comparing the values:
From the above, we can conclude that the mean of TJ's earnings is more than the mean of Justin's earnings
Difference = 46 - 42 = $4
Hope this helps :)
Related Questions
Point A is located at (3,6). The midpoint of line segment AB is point C(11,13). What are the coordinates of point B? Use the midpoint formula and show ALL work. DO NOT use Desmos.
Answers
Answer: The coordinates of point B are (19 , 20).
Step-by-step explanation:
The mid point (x,y) of line joining (a,b) and (c,d) is given by :-
[tex](x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex] (1)
Given : Point A is located at (3,6). The midpoint of line segment AB is point C(11,13).
Let the coordinates of point B are (a,b) m, the according to (1) , we have
[tex](\dfrac{3+a}{2},\dfrac{6+b}{2})=(11,13)\\\\\Rightarrow\ \dfrac{3+a}{2}=11\ \ ,\ \ \dfrac{6+b}{2}=13\\\\\Rightarrow\ 3+a=22\ \ ,\ \ \ 6+b=26\\\\\Rightarrow\ a=19,\ \ b= 20[/tex]
Hence, the coordinates of point B are (19 , 20).
For which values of x is the expression undefined?
x
−
9
x
2
+
9
x
+
18
x
2
+9x+18
Answers
Answer:
[tex]19x+36[/tex]
Step-by-step explanation:
-2p-4=2
What does p equal to?
Answers
Answer:
Step-by-step explanation:
-2p-4=2
Collect like terms
-2p=2+4
-2p=6
p=6/-2=-3
Answer:
p=-3
Step-by-step explanation:
-2p-4=2
add 4 to both sides then get -2p =6
divide both sides by -2 and get p=-3
Hope this helped
Solve for the value of z: 8/5 = 16/z
Answers
Answer:
Step-by-step explanation:
[tex]\frac{8}{5}=\frac{16}{z}\\\\ 8*z=16*5\\\\z=\frac{16*5}{8}\\\\z=2*5\\\\z=10[/tex]
MAFS.912. G-C0.3.11
Which statement is true about every parallelogram?
A. All four sides are congruent.
B. The interior angles are all congruent.
C. Two pairs of opposite sides are congruent.
D. The diagonals are perpendicular to each other.
Answers
Triangle STV has side lengths of 7, 11, and 14 units. Determine whether this triangle is a right triangle.
Answers
The triangle STV is not a right angled triangle.
Explanation:
Given that STV is a triangle with side lengths of 7, 11 and 14 units
We need to determine that STV is a right angled triangle.
Using Pythagorean theorem, we have,
[tex]c^2=a^2+b^2[/tex]
where [tex]c=14, a=7[/tex] and [tex]b=11[/tex]
Substituting the values in the above formula, we have,
[tex]14^2=7^2+11^2[/tex]
Squaring the terms, we get,
[tex]196=49+121[/tex]
[tex]196=170[/tex]
Since, both sides of the equation are not equal, then the triangle STV is not a right angled triangle.
Final answer:
To determine if triangle STV is a right triangle, apply the Pythagorean theorem. The theorem shows that STV is not a right triangle because the squares of the two shorter sides do not add up to the square of the longest side.
Explanation:
To determine whether triangle STV with side lengths of 7, 11, and 14 units is a right triangle, we can use the Pythagorean theorem. Pythagorean theorem states that for a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In mathematical terms, if c represents the length of the hypotenuse and a and b represent the lengths of the other two sides, then the triangle is right if and only if c² = a² + b².
For triangle STV, let's assign the longest side, which is 14 units, as the hypotenuse c, and the other two sides as a and b. So:
a = 7 units
b = 11 units
c = 14 units
Now, we check:
c² = 14² = 196
a² + b² = 7² + 11² = 49 + 121 = 170
Since 196 does not equal 170, we conclude that triangle STV is not a right triangle.
Use the table above to answer the question. Keith Jones purchased a $70,000 policy. At the fifth anniversary, what
would be the cash value of his policy?
21
21,000
2,100
210
Answers
Answer:
21,000
Step-by-step explanation:
........................
Answer:
I'm pretty sure it's 2,100
Step-by-step explanation:
Divide 70,000 by 1,000 to get 70
The cash value for a policy on its fifth anniversary is 30.00
multiply 70*30 to get 2,100
That's it :)
Which expression is equivalent to 2^5?
Answers
The expression which is equivalent to 2⁵ is, 2×2×2×2×2
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The given expression is 2⁵
Equivalent expression = ?
Given expression can be write in the factors of 2⁵
⇒ 2⁵ = 2×2×2×2×2
Hence, The equivalent expression is 2×2×2×2×2
To know more about Expressions check:
brainly.com/question/16804733
#SPJ2
Given the two points (3,6) and (-2,5), determine the slope of the line.
Answers
Answer:
1/5
Step-by-step explanation:
y2 -y1/x2 - x1
5 - 6/ -2 - 3
-1/-5
1/5
Twelve less than a product of a number and 6 is 60
Answers
Answer:
The number is 12
Step-by-step explanation:
Step 1: Convert words into an expression
Twelve less than a product of a number and 6 is 60
(n * 6) - 12 = 60
Step 2: Solve for n
(n * 6) - 12 + 12 = 60 + 12
n * 6 / 6 = 72 / 6
n = 12
Answer: The number is 12
Four students set up a lemonade stand.At the end of the day,their profit is $17.52. How much money do they have when the profit is split equally?
Answers
Answer:
$4.38
Step-by-step explanation:
Lets recap the information we are told in the problem:
There are 4 students in total
Their total profit is $17.52
The total profit needs to be split equally between them
Now we can focus on solving. To do so we can set up an equation like this:
(Total profit) ÷ (Number of students) = (Amount each student gets)
Lets insert our numbers into this equation:
$17.52 ÷ 4 = $4.38
So each student gets $4.38 each when the profit is split equally.
Out of the entire profit of $17.52, each one of the students will be able to take home a profit of $4.38.
These four students were able to sell enough lemonade that they made $17.52.
They will need to divide the profit amongst themselves and when they do so, each one of them will get:
= Profit made / Number of students
= 17.52 / 4
= $4.38
In conclusion, each one of the students will get $4.38.
Find out more at https://brainly.com/question/21391192.
Part A: A graph passes through the points (0.2). (1.3), and (2, 4). Does this graph represent a linear function or a non-linear function? Explain your answer in
words
Part 3: Write one example of a linear function and one example of a non-linear function (Use x and y as the variables)
Answers
Answer
a) Linear because there is a constant slope
b) Linear: y=x
Non-linear: y=1/x
Step-by-step explanation:
First we find the slope using the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]
For the points (0,2) and (1,3), we have
[tex]m = \frac{4-3}{1-0} = \frac{1}{1} = 1[/tex]
For the points (0,2) and (2,4), we have
[tex]m = \frac{4 - 2}{2 - 0} = \frac{2}{2} = 1[/tex]
For (1,3) (2,4), we have;
[tex]m = \frac{4 - 3}{2 - 1} = 1[/tex]
Since there is a constant rate of change the graph represents a linear function.
b) For a linear function, the highest degree is 1.
An example of a linear function is y=2x
For a non-linear function the degree of the variable is not equal to 1.
[tex]y = \frac{1}{x} [/tex]
Question 1 a
A marketing executive is investigating whether this year's advertising campaign has resulted in greater mean sales compared with last year's mean sales. The executive collects a random sample of 100
customer orders from a large population of orders and calculates the sample mean and sample standard deviation
Which of the following is the appropriate test for the executive's investigation?
Answers
Answer:
B) A one-sample t-test for population mean would be used.
Step-by-step explanation:
The complete question is shown in the image below.
The marketing executive is interested in comparing the mean number of sales of this year to that of previous year.
The marketing executive already has the value of mean from previous year and uses a sample to calculate the mean and standard deviation of sales for the current year.
Since, data is being collected for one sample only this limits us to chose between one sample test for mean. So now the possible options are one sample t-test for population mean and one sample t-test for population mean.
If we read the statement we can see that we have the value of sample mean and sample standard deviation. Value of population standard deviation is unknown. In cases where value of population standard deviation is not known and sample standard deviation is given, t-test is used.
Therefore, we can conclude that A one-sample t-test for population mean would be used.
T test is the test is a statistical test that is used to compare the means of two groups. The option B is correct option because a one sample t test for a population mean is the appropriate test for the executive's investigation for the given problem.
Given-
The options for the given question are-
A) A one sample z test for a population mean.B) A one sample t test for a population mean.C) A one sample z test for a population proportion.D) A two sample t test for a difference between means.E) A matched pairs t test for a mean difference.T testT test is the test is a statistical test that is used to compare the means of two groups.
In the given problem the marketing executive wants to compare the annual sales mean number for the this year to the past year.
The mean value of the past year is known to the marketing executive.
The mean value of this year has to be calculated by the marketing executive.
For this the executive collects a random sample of 100 customer orders from a large population of orders and calculates the sample mean and sample standard deviation.
As t test is used to determine a significant difference between the means of the two groups which may be related in certain features. Thus this test is best suitable for the given problem.
Hence the option B is correct option because a one sample t test for a population mean is the appropriate test for the executive's investigation for the given problem.
For more about the t test, follow the link below-
https://brainly.com/question/1189751
Triple the difference between 18 and four
Answers
Answer:
42
Step-by-step explanation:
3 * (18 - 4) = 3 * 14 = 42
Answer:
42
Step-by-step explanation:
18-4=14. 14*3=42
A circle passes through point (-2, -1) and its center is at (2, -1). Which equation represents the circle?
Answers
The choices are missing, but we can solve the problem from the given information
Answer:
The equation which represents the circle is (x - 2)² + (y + 1)² = 16
Step-by-step explanation:
The form of the equation of a circle is (x - h)² + (y - k)² = r², where
(h , k) are the coordinates of its centerr is the radius of it∵ The coordinates of the center of the circle are (2 , -1)
∴ h = 2 and k = -1
The radius of the circle is the segment whose join the center of the circle and any point on the edge of the circle
∵ The circle passes through point (-2 , -1)
∴ The radius of the circle is the distance from the center (2 , -1)
and the point (-2 , -1)
The y-coordinates of the two points are equal that means the radius is a horizontal segment and its length is the difference between their x-coordinates
∵ r = 2 - (-2)
∴ r = 4
Now let us substitute h, k, and r in the form of the equation of the circle
∵ (x - 2)² + (y - -1)² = (4)²
∴ (x - 2)² + (y + 1)² = 16
The equation which represents the circle is (x - 2)² + (y + 1)² = 16
2x + y = 5
4x + 2y = 10
Answers
Answer: x= 5-y/2
y= 5-2x
Step-by-step explanation:
2x + y= 5
4x + 2y=10
Addition of the two equations gives:
6x + 3y = 15
6x= 15- 3y
x= 15-3y/6 or simplified to x = 5-y/2
3y= 15- 6x
y= 15-6×/3 or simplified to y= 5-2x
A rhombus with four right angles
Answers
Answer: A rhombus with 4 right angles make a square
What is the value of 4t^2? T=3
Answers
Answer:
36
Step-by-step explanation:
[tex]4 \times {t}^{2} = 4 \times {3}^{2} \\ = 4 \times 9 \\ = 36[/tex]
Slope of y= 1/2x + 1
Answers
Answer:
1/2
Step-by-step explanation:
The slope of Y = 1/2x + 1 is 1/2.
In a typical equation, there are 4 parts: Y, M, X, and B (since an equation in standard form is Y = MX + B. Y and X are typically variables, unless you fill them in with coordinate points to solve for B. B is the Y intercept, or where the line crosses the Y axis, and M is the slope of the line.
Thus meaning 1/2 is the slope for the equation given.
I hope this helps!
which table goes with this equation?
y=x+5
Answers
Answer:
C is the answer
Step-by-step explanation:
y = x + 5
If x = 0,
y = 0 + 5 = 5
Again, if x = 1,
y = 1 + 5 = 6
Again if x = 2,
y = 2 + 5 = 7
Therefore, option C is the answer.
x y
0 5
1 6
2 7
Other options A, B, and D are not correct. Because if x = 0, y cannot be equal to either 0 or 3. Again, if x = 1, y cannot be equal to either 3 or 4.
What is the image point of (-2,6) after a translation left 2 units and up 4 units?
Answers
Answer:
[tex](-4,10)[/tex]
Step-by-step explanation:
When you translate (x,y), left 2 units and up 4 units, it becomes (x-2,y+4)
We are given the point (-2,6).
We want to find the image of this point after a translation left 2 units and up 4 units.
[tex](-2,6)\to(-2-2,6+4)[/tex]
We simplify to get:
[tex](-2,6)\to(-4,10)
[/tex]
Final answer:
The image point of (-2,6) after a translation left 2 units and up 4 units is (-4,10).
Explanation:
To determine the image point of (-2,6) after a translation left 2 units and up 4 units, we simply need to adjust the x-coordinate and the y-coordinate by the amounts specified by the translation. Moving left 2 units means we subtract 2 from the x-coordinate, and moving up 4 units means we add 4 to the y-coordinate.
Starting with the x-coordinate of -2, we subtract 2:
-2 - 2 = -4.
So, the new x-coordinate is -4.
Starting with the y-coordinate of 6, we add 4:
6 + 4 = 10.
So, the new y-coordinate is 10.
Therefore, the image point after the translation is (-4,10).
What is the quotient ? 7^-5/7^2
Answers
Answer:
1/823543
Step-by-step explanation:
7^-5/7^2
so basically add them because its a neg. exponent.
7^-3
that equals 1/7^3
mark me brianliest please!
Answer:
is a
Step-by-step explanation:
got it right on the asighnment
find the quotient –132 ÷ 12.
A. –13
B. –6
C. –11
D. –10
Answers
Answer:
c. -11
Step-by-step explanation:
Answer: Hello, the answer is C. -11 glad to help have a great day and im here for any more questions you might have!
Step-by-step explanation:
Simplify by combining like terms 4s + 1/6s + 2 3/5s. There’s supposed to be a whole number and a fraction for the answer. Please HELP!
Answers
Answer:
[tex]6\dfrac{23}{30} s[/tex]
Step-by-step explanation:
The first step in simplying
[tex]$4s+\frac{1}{6}s +2\frac{3}{5}s $[/tex]
is to bring the mixed number [tex]2\frac{3}{5}s[/tex] into the form of an improper fraction:
[tex]$2\dfrac{3}{5}s = (2+\frac{3}{5})s =(\frac{10}{5} +\frac{3}{5})s = \frac{13}{5}s $[/tex]
Therefore, the expression now becomes
[tex]$4s+\frac{1}{6}s +\frac{13}{5}s $[/tex]
and to simplify further we find the common denominator of the fractions which is
[tex]6*5 =30[/tex],
therefore,
[tex]$4s+\frac{5}{30}s +\frac{78}{30}s $[/tex]
[tex]$\frac{120}{30} s+\frac{5}{30}s +\frac{78}{30}s $[/tex]
add the numerator and get:
[tex]\dfrac{203}{30} s[/tex]
as a mixed number this is
[tex]6\dfrac{23}{30} s[/tex]
Thus,
[tex]$\boxed{4s+\frac{1}{6}s +2\frac{3}{5}s = 6\dfrac{23}{30} s} $[/tex]
In basketball you can earn three points for a shot and 1 point for a free-throw if Sam’s probability of getting a three point shot is 4/10 and 8/10 for free throw what is expected value for the game
Answers
Answer:
Step-by-step explanation:
one less than three time n is seven
Answers
3 x n = 8
n = 8/3
n = 2.6666667
Answer:
n= 7/2x
Step-by-step explanation:
Okay...last time i ask. 4ths times a charm i suppose. please help. will mark brainliest. ill even write you a frickisagfbsdfn poem of how much i love you if you can figure this out.
Answers
Ok, so when it says "3x, x[tex]\leq[/tex]2," it means that when the x value is less than or equal to 3, you graph 3x. You would have the following points on the line: (-3,-9), (-2,-6), (-1,-3), (0,0), (1,3), and (2,6). The endpoint of the ray on the left side (the points I just said) would be (2,6)
When it says, "1/2 x +5, 2[tex]\leq[/tex]x," it means that when the value of x is greater than or equal to 2, the y value is .5x + 5. You would graph the following points: (2,6), (4,7), (6,8), and (8,9). The endpoint of th ray on the right (the points I just said) would be (2,6).
Keep in mind that though the graph is continuous, it isn't one line, but 2 rays (which you probably already know).
Please help! A person standing 30 ft from a flagpole can see the top of the pole at a 35 degree angle of elevation. The person's eye level is 5 ft from the ground. Fond the height of the flagpole.
Answers
Answer: The height of the pole is 26 ft
Step-by-step explanation: Please refer to the attached diagram for details.
The diagram shows a right angled triangle labeled PEG. The point P is the top of the flagpole, the point E is the eye level of the observer, while point G is the point where the flagpole touches the ground. However, we must not forget that the observer’s eye is 5 ft from the ground. This means the height of the flagpole in the triangle has an extra 5 ft that would be added after our calculation. So, we have an opposite, which is the unknown and an adjacent, which is the side that lies between the reference angle and the right angle (that is, 30). Also we have the reference angle as 35.
Using the trigonometric ratios,
TanE = opposite/adjacent
Tan35 = PG/30
By cross multiplication we now have
Tan35 x 30 = PG
0.7002 x30 = PG
21.006 = PG
The height of the pole is approximately 21 ft.
However, we remember that the eye of the observer is 5 ft away from the ground. That means the pole actually goes an additional 5ft when it touches the ground. Hence the actual length of the pole is 21 + 5 = 26
Height of pole = 26 ft
The product of 17 and 1.27 will have ____ decimal places.
Answers
Answer:
2
Step-by-step explanation:
A rectangular one-story house covers an area of 3,700 square feet. The ceilings are 8 feet high. The owners add a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet high. What is the total volume of the interior of the house?
Answers
The total volume of the interior of the house after adding a second floor is 43,100 cubic feet, calculated by summing the volume of the original one-story (29,600 cubic feet) and the second floor (13,500 cubic feet).
To calculate the total volume of the interior of the house after the addition of a second floor, we need to find the volume of both floors and add them together. The original one-story house covers an area of 3,700 square feet with ceilings 8 feet high. To find the volume, we multiply the area by the height of the ceilings:
Volume of first floor = Length * Width * Height = 3,700 ft^2 * 8 ft = 29,600 ft^3
The second floor is a bit smaller than the first floor, with dimensions of 50 feet by 30 feet and ceilings that are 9 feet high. So, the volume of the second floor is:
Volume of second floor = Length *Width*Height = 50 ft*30 ft *9 ft = 13,500 ft^3
Adding the two volumes together gives us the total volume of the house:
Total Volume = Volume of first floor + Volume of second floor = 29,600 ft^3 + 13,500 ft^3 = 43,100 ft^3