Answer:
6
25
27
64
764
It's just ascending order, easy.
After complaining about the bonus plans, you wake up
on Conglomo's private island, where you break big rocks
into smaller rocks for $10 a day. There are 999 other
employees on the island, 998 of whom get paid the same
way you do. The last employee is your overseer, who is
paid $10 million per year.
What is the mean and median income for
workers on Super Happy Fun Island?
Which method of describing central tendency
better represents this data? Why?
Answers:
mean annual income = $13,646.35
median annual income = $3,650
The median is a better measure of center
=======================================================
Explanation:
If you earn $10 a day, and do so for 365 days, then you earn 365*10 = 3650 dollars per year.
If there are 999 employees earning this amount, then the amount earned is 999*3650 = 3,646,350
Add on the 10,000,000 to get
10,000,000+3,646,350 = 13,646,350
The total amount earned is $13,646,350
Divide this over the 1000 people (999 workers + 1 boss)
We get: (13,646,350)/(1,000) = 13,646.35
The mean is annual income is $13,646.35
--------------------------------
The median is the middle most value. If you list out the pay amounts of just the workers, you'll get the list:
{3650, 3650, 3650, ..., 3650}
We will have 999 copies of 3650 listed out. You don't have to list all 999 of them. Just a few is a good start. The three dots indicate the pattern goes on until we reach the 999th item.
If we then tack on the overseer's pay, then we have the list
{3650, 3650, 3650, ..., 3650, 10 million}
I'm using "million" instead of the digits to avoid using commas here.
The middle won't change due to one item being tacked onto the end. The middle is going to be 3650 either due to it being part of the set, or we find the midpoint between 3650 and 3650, which averages out to 3650.
The median income is $3,650
-----------------------------------
The median income is the better measure of center because it represents where the workers are instead of some distant "midpoint" between the workers and the boss. No person is making $13,646.35 a year. They are either making $3,650 or they are making $10,000,000. There's nothing in between. So it's better go lean toward the larger group when deciding where the center should go. Think of it like a balance beam or a see-saw.
As you can see the median is not affected by outliers. We can change the "ten million" to something like "a hundred million" and the median would still be the same. I recommend you compute the mean if the overseer earns 100 million dollars, and you'll find the mean will increase dramatically. However, the median will stay where it's at. The only time the median will change is if we introduce elements that are somewhere around (either higher or lower) than 3650, and these values are close to 3650. But this won't change the center very much compared to the drastic changes the mean undergoes due to such a large outlier.
The general rule of thumb is: a large outlier to the right pulls the mean to the right. An outlier to the left pulls the mean to the left. In this case, the mean is pulled to the right. The data is skewed to the right (or positively skewed).
So again, the conclusion is that the median is the better measure of center.
List the number from greatest to least 3/2, 0.75,-24,-3/2
Answer:
3/2, 0.75,-3/2, -24
Step-by-step explanation:
I think that's the answer
Evaluate 5⁶/5²
is it not 5⁴?
I have a picture that is 30 inches wide and 20 inches tall. I would like the
picture to be a smaller scaled copy, and it needs to be 10 inches tall. How
wide should the new picture be?*
Answer:5 inches
Step-by-step explanation:
Fill in the blank with the correct constant of proportionality. Pounds of Bananas Cost ($) 2, 2.50, 3, 3.75, 5, 6.25, 7, 8.75 The constant of proportionality is
Answer:
it will go up 1 dollar now i had to do it in my head
Step-by-step explanation:
mabey if im wrong sorry
Keisha runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?
Answer:(24/60)*7=2.8 miles
Step-by-step explanation:
24/60x7
Find the domain of the relation.
{(23, 4), (-3, 8), (-25, -21), (20, 13), (21, -14)}
FA
Answer:
Here is the domain and range
Step-by-step explanation:
(0,0), (-6,6) , (3,1), (3,2), (3,-2), (8,9), (0,1), (1,0)
Leo found an orange caterpillar and a green caterpillar in his backyard. The green caterpillar was 3 1/3 inches long and the orange caterpillar was 1 2/3 inches long. How much longer was the green caterpillar than the orange caterpillar?
Answer:
the green caterpillar is 5/3 inches or 1 2/3 inches longer than the orange caterpillar
Step-by-step explanation:
Subtract 3 1/3 by 1 2/3
Answer:
1 2/3 in longer
Step-by-step explanation:
Green: 3 1/3 = 10/3 (Multiply the whole number by the denominator and add that to the numerator for the new numerator).
Orange: 1 2/3 = 5/3
Difference: 10/3 - 5/3 = 5/3 (When subtracting fractions with the same denominators, just subtract the numerators and leave the denominators the same).
5/3 = 1 2/3 (To convert to a mixed number, divide numerator by denominator. The remainder is the new numerator and the quotient is the whole number).
Hellllllllppppppppppppppppppppppp
Answer:
All of the degrees add up to 90. Therefore, right angle.
need help plz its math
Answer:
option D 41
Step-by-step explanation:
since ∠N = ∠L
this means that MN = ML (sides opposite to equal angles are equal)
thus
3x + 1 = 5x - 7
1 + 7 = 5x - 3x
8 = 2x
8/2 = x = 4
inserting values
3*4 + 1= 13
4*4-1 =15
5*4-7 = 13
adding all
13 + 13+ 15 = 41
option D 41
Patrick Mahomes had 229 passing yards in his last football game.
Calculate 229 yards into feet.
O 513 feet
O 452 feet
O 528 feet
O 687 feet
Answer:
687
Step-by-step explanation:
1 yard=3 feet
229 yds x 3 ft=687 ft
At the Fast-Pack It shipping, the employees can unload 25 trucks in 5 hours. Which of the following is a correct unit rate for this situation? (4 points)
5 hours per truck
1 truck per hour
1 over 5. of a truck per hour
1 over 5. of an hour per truck
Answer:
five trucks per hour
Step-by-step explanation:
simplify the fraction 15/20
15/20
Figure out what number to use for simplify
Which is 5
Divide the numerator and denominator by 5
15/5=3
20/5=4
Answer:3/4
Student #2:
4x + 1 ≤ -4
x + 1 ≤ -1
x ≤ -2
Solved the inequality incorrectly but graphed their solution correctly.
Solved the inequality incorrectly and graphed their solution incorrectly.
Solved the inequality correctly and graphed their solution correctly.
Solved the inequality correctly but graphed their solution incorrectly.
Answer:
B
Step-by-step explanation:
Answer:
The student solved the inequality correctly, but the graph incorrectly represents the solution calculated.
Step-by-step explanation:
help ASAP Which expressions have a value equal to or greater than 13?
A. five sixths x 13
B. 4 x 13
C. three fourths x 13
D. ten tenths x 13
Answer:
D. ten tenths x 13
Step-by-step explanation:
ten tenths are equal to one meaning that expression is equal to 13
1 x 13=13
Find a quadratic function that includes the set of values below.
(0,4), (2,10), (4,0)
The equation of the parabola is y=
Answer:
Step-by-step explanation:
The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.
- 4(6 + 5g) equivalent expressions
Answer:
the awnser is 4g because if you multiply the -4 by 6 and 5 g you get the equation: -24+-20g.. subtract -24 from -20 you will get 4g
Need help ASAP!!!!
Which two ratios form a proportion?
Answer:
C
Step-by-step explanation:
Pls make me brainliest
Answer:
The answer is C 1/2 and 7/14
Two equivalent ratios for a proportion
To determine whether the two ratios form a proportion, you can compare them using a common denominator
1/2 = 7/14
1x7 = 7
2x7 = 14
7/14 = 7/14
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for green, 1/15 for blue, 1/20 for pink, and 1/5 for red. What is the probability of pulling a red or pink card, written as a reduced fraction?
Answer:
Step-by-step explanation:
0.2(red) + 0.05(pink)
=0.25
=1/4
ALLWAYS REMEMBER OR MEANS ADD AND AND MEANS MULTIPLY
The probability of pulling a red card or a pink card is [tex]\frac{1}{4}[/tex].
Probability:The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.Step-by-Step Solution -To remember -
'OR' means add.'AND' means multiply. [tex]0.2(red)+0.05(pink)\\= 0.25\\=\frac{1}{4}[/tex]Therefore, the probability of pulling a red card or a pink card is [tex]\frac{1}{4}[/tex].
Know more about probability here:
https://brainly.com/question/24756209
#SPJ2
John owns a computer repair service. For each computer he charges $50 plus $45 per hour of work. linear equation
Answer:
y=50+45x.
Step-by-step explanation:
It says $50 plus $45 So add them and x represents the hour so y=50+45x
Find the solution set of the inequality
- 4x + 35 > 2
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 33/4
Interval Notation:
(− ∞, 33/4)
Can someone help me?
4 4/10 divided by 4 2/3
Answer: Responding for points
Step-by-step explanation:
Answer:
33/35
Step-by-step explanation:
I think
Help!!!!!!!!!!!!!!.
Plzzzzzzzzzzzzzzzzzzzzzzz
3 r = 7/10 can anyone explain me how to do it please.
Answer:
3r = 7/10
3r = 0.7
r = 0.7/3
r = 0.23
Step-by-step explanation:
Image by Scientif3
Name all of the obtuse angles that share a side with ZVON.
A. ZNOS, ZNOP, ZNOQ, VOS, ZV00, ZVOP
B. ZNOS, ZNOT, ZNOV, ZVOR, ZVOU, ZVOP
C. ZNOS, ZNOT, ZNOR, ZVOR, ZVOQ, ZVOP
D. ZNOS, ZNOT, ZNOU, ZVOR, ZVOQ, ZVOP
Please select the best answer from the choices provided
True or False:
If you have an odd number of negative factors your answer will be negative. *
<3
Answer:
It's true,
I'm sure about it
I need helpppp (10 points )
Answer: The flagpole is about 22.3 feet tall.
This is roughly the size of a two story building, assuming each floor is 10 feet or so.
Since this height is under 25 ft, this flagpole is in compliance with the regulation.
=====================================================
Work Shown:
The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.
The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.
Use the tangent rule to connect the opposite and adjacent sides.
Solve for x.
tan(angle) = opposite/adjacent
tan(25) = (x-5.5)/36
36*tan(25) = x-5.5
x-5.5 = 36*tan(25)
x = 36*tan(25)+5.5
x = 22.28707569358
x = 22.3 ft is the approximate height of the flagpole
Make sure your calculator is in degree mode.
The height is not over 25 ft, so this flagpole meets the requirements.
The scale on a map indicates that 1 inch corresponds to an actual distance of 115 miles . Two cities are 7.5 inches apart on the map . What is the actual distance between the two cities?
Can someone please help me with this question I don’t understand it. Thank you
Answer:
it is 862.5
Step-by-step explanation:
each inch is 115 miles, so if theres two inches theres double the amount that there would be if there was 1 inch, so if theres 7 inches then you would have 7 times the amount it would be if there was 1 inch, in this situation theres 7.5 so you would multiply the 115 miles by 7.5 becuase that's how many inches there is, so multiplying that is the same as adding 115 plus 115 plus 115, and so on till you get the amount you need. did this help?
What is the measure of
Answer:
m∠B = 105°
Step-by-step explanation:
Given
A = x+5B = 3xC = xWe know that the sum of angles in a triangle = 180°
A + B + C = 180°
x + 5 + 3x + x = 180°
5x + 5 = 180°
5x = 180° - 5
5x = 175
x = 175 / 5
x = 35
Thus, the measure of ∠B will be:
m∠B = 3x
= 3(35)
= 105°
m∠B = 105°