Answer: B) The mean will increase and the median will stay the same.
======================================================
Explanation:
Let's look at a small example of why this works.
Suppose that we had the set of 5 items {1,2,3,4,5}. The value 3 is right in the middle so this is the median. The mean is also 3 because adding all the values gets us 15 and then we divide over 5 (the number of items in the set) to get 15/5 = 3.
For any symmetric set of data like this, the mean and median are the same value.
Now let's change that last item 5 to something larger. Let's bump it up to 10
The new data set is {1,2,3,4,10}. The median is still 3 as it's still in the middle. But now the mean is (1+2+3+4+10)/5 = 20/5 = 4. The old mean was 3, and the new mean is 4. So we have the mean increased thanks to that 5 increasing to 10.
We could increase 10 to 20 getting {1,2,3,4,20}. The median is still the same. The mean is now (1+2+3+4+20)/5 = 30/5 = 6. So we've increased the mean again. This process can be continued on for as long as you like.
The outliers to the right hand side effectively pull on the mean in a similar analogy to how gravity pulls on an object. So this is one way to remember that the mean is effected by outliers. The median only cares about being in the middle so that's why it doesn't change. If we changed the number of items in the data set, then it's a different story. However, Kay is only changing her salary rather than bring on a new hire (or two).
So that small example can be applied to Kay's situation even though the numbers are much larger. The median stays the same, but Kay's (much) higher salary pulls on the mean to make it larger than it should be. This is often why a trimmed mean is used when looking at centers of data sets. For data sets that have very large outliers, the median is the more reliable measure of center.
PLEASE HELP W MY MATH
F=s+at
SOLVE FOR T.
x/a + y/b =1
SOLVE FOR X.
Answer:
Step-by-step explanation:
s + at = F
at = F - s
t = (F - s)/a
x/a + y/b = 1
x/a = 1 - y/b
a(x/a = 1 - y/b)
x = a - ay/b
: (60'+1242-15a)+(4a2-12a+8)
what is the sum of the binary numbers 1101, 1110 and 1001
1101₂ + 1110₂ + 1001₂ = 100100₂
Step-by-step explanation:1101₂ = 1×2³ + 1×2² + 0×2¹ + 1×2⁰ = 8 + 4 + 0 + 1 = 13₁₀
1110₂ = 1×2³ + 1×2² + 1×2¹ + 0×2⁰ = 8 + 4 + 2 = 14₁₀
1001₂ = 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 8 + 1 = 9₁₀
13 + 14 + 9 = 36
36₁₀ =
36 : 2 = 18 + r 0
18 : 2 = 9 + r 0
9 : 2 = 4 + r 1
4 : 2 = 2 + r 0
2 : 2 = 1 + r 0
1 : 2 = 0 + r 1 ↑
= 100100₂
Answer:
[tex]\huge\boxed{1101_2+1110_2+1001_2=100100_2}[/tex]
Step-by-step explanation:
We know:
[tex]0_2 + 0_2 = 0_2\\0_2 + 1_2 = 1_2\\1_2 + 1_2 = 10_2[/tex]
[tex]\underline{+\begin{array}{ccc}_1\ \ \ \ \\1101\\1110\end{array}}\\.\ 11011\\\\\underline{+\begin{array}{ccc}_1\ \ _1_1 \ \\11011\\\ \ 1001\end{array}}\\.\ \ 100100\\\\[/tex]
Solve the linear equation for y.
-8=-10x + 5y
Answer:
-8/5 + 2x = y
Step-by-step explanation:
-8=-10x + 5y
Add 10x to each side
-8+10x=-10x+10x + 5y
-8+10x = 5y
Divide each side by 5
-8/5 + 10x/5 = 5y/5
-8/5 + 2x = y
[tex]\sf\dashrightarrow -8=-10x + 5y [/tex]
[tex]\sf\implies -8=5(2x+y)[/tex]
[tex]\sf\implies \dfrac{-8}{5}=-2x+y [/tex]
[tex]\sf\implies \dfrac{-8}{5}+2x=y[/tex]
[tex]\large{\boxed{\bf{ \star\:\: \dfrac{-8}{5}+2x=y\:\: \star }}}[/tex]
_______________how do i find the Domain and Range in Inequality form
Answer:
Domain is the set of all x values, the independent quantity, for which the function f(x) exists or is defined.
Step-by-step explanation:
i just graphed it
Answer:
Domain:
[tex]x\in\mathbb{R}[/tex]
Range:
[tex]y\geq -5[/tex]
Step-by-step explanation:
The domain is the span of x-values covered by the graph, and the range is the span of y-values covered by the graph.
From the graph, we can see that the x-values covered by the graph will extend infinitely in both directions. Therefore, the domain of the graph is all real numbers.
We can't write this as an inequality, but we can write:
[tex]x\in\mathbb{R}[/tex]
For the range, we can see from the graph that the lowest y-value is y=-5. The graph doesn't go any lower than that. However, the graph will also cover all values greater than -5. Therefore, the range of the graph is all values greater than or equal to -5. In an inequality, this is:
[tex]y\geq -5[/tex]
Mya has an exercise ball in the shape of the sphere shown below.She wants to increase the weight of the ball by filling it with water. Which is closest to the amount of water in cubic inches,that Mya's exercise ball will hold if it is completely full?
Answer: Volume of a sphere = 4/3 * pi * r^3 r = radius of sphere pi~ 3.14
Step-by-step explanation: If you use the radius in inches, your result will be in cubic inches (in^3)
The amount of water in cubic inches, that Mya's exercise ball will hold is 904.779 in³.
What is the volume of a sphere?The volume of a sphere is the volume of space occupied by a sphere. It is given by the formula:
[tex]\text{Volume of Sphere} = \dfrac{4}{3}\pi r^3[/tex]
As it is given that the diameter of Mya's ball is 12 inches, also we know that the volume of a sphere is given by the formula,
[tex]\text{Volume of Sphere} = \dfrac{4}{3}\pi r^3[/tex]
As we know that the diameter of Mya's ball is 12 inches, therefore, the radius of Mya's ball can be written as,
[tex]\rm Radius = \dfrac{Diameter}{2} = \dfrac{12\ in}{2} = 6\ in.[/tex]
Now, if we substitute the value of the radius of Mya's ball in the formula of the volume of the ball,
[tex]\rm \text{Volume of Ball} = \dfrac{4}{3}\times \pi \times 6^3 = 904.779\ in^3[/tex]
Hence, the amount of water in cubic inches, that Mya's exercise ball will hold is 904.779 in³.
Learn more about Volume of Sphere:
https://brainly.com/question/16924154
Which of the following numbers are integers? 7/9, -32, 13, 5/1
A. -32, 13, 5/1
B. -32, 13
C. 7/9, 5/1, 13
D. 13, 5/1
Answer:
b is the correct answer
What is the probability of getting a odd number when you roll a dice
Answer:
50% (1/2)
Step-by-step explanation:
3 of the 6 sides that exist on a dice have odd numbers.
Answer:
1/2 probability of getting an odd number
Step-by-step explanation:
Dice have the given outcomes of getting a 1, 2, 3, 4, 5, or 6. Considering that the desired outcomes are only 3 out of 6 of those given outcomes, that leaves us with a 3/6 or 1/2 chance of getting an odd number.
HELP ASAP!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
the statement (y<1/2x -4) reads "y is LESS than 1/2 x -4."
to fulfil this statement, follow these steps.
1) graph the line 1/2x -4, there will be a yintercept at (0,-4). Also the slope will be increasing (left to right) because 1/2 has no negative sign before it.
2) recognize the inequality sign. In this situation, the solution does NOT INCLUDE THE LINE, rather it includes the area BELOW/LESS THAN the line. If this, < had a line under it, it would mean less than OR equal to.
3) know that if the line is not included, the line will be broken. If the line IS included, which it is not, it would be a solid line.
Answer:
C
Step-by-step explanation:
First, graph the equation:
The y-intercept is -4.
And the slope is 1/2, an upward sloping line.
So, our graph should be either A, B, or C.
D is not correct, so eliminate that.
So, our inequality is:
[tex]y<\frac{1}{2}x-4[/tex]
Note that this inequality is strictly less than. There's no "or equal to" bar. Therefore, our line should be dotted.
Thus, eliminate A and B.
So, C is our answer
Further notes:
The inequality sign means that y is less than the equation. In other words, our shaded region should be below the line.
In C, the shaded area is indeed below the line.
So, C is indeed our answer :)
what is 1/2h + 2h + 3/2h - 1 simplified?
Answer:
4h-1
Step-by-step explanation:
subtracted it with a scientific calculator and that was the answer
Are 2/3 and 3/2 equivalent
Answer:
no.
Step-by-step explanation:
let's use apples for this example. if you have 3/2 of an apple that means you actually have one full apple and one apple cut in half since 3/2 is also equal to 1 and 1/2. but 2/3, on the other hand, means you have 2 of 3 sections of 1 apple.
Answer:
no they are not
Step-by-step explanation:
use an equivalent fraction calculator on google to find fractions equivalent!
simplify cos theta csc theta
Answer:
cot theta
Step-by-step explanation:
t = theta
csc t = 1/ sin t
cos t . csc t = cos t / sin t = cot t
3(3 - x) = 5(2x + 7) solve for x
Answer:
x = -2
Step-by-step explanation:
3(3 - x) = 5(2x + 7) multiply 3 with both 3 and -x then 5 with 2x and 7
9 - 3x = 10x + 35 add like terms
9 - 35 = 10x + 3x
-26 = 13x
x = - 2
Which algebraic expression is equivalent to this expression?
3(2x-8) - 11x
ОА
-5X-24
ОВ.
-17x-24
Ос.
-5X-8
OD.
-17x - 24
Answer: A. -5x-24
Step-by-step explanation:
3(2x-8)-11x
=6x-24-11x
=6x-11x-24
=-5x-24
Hope this helps!! :)
Please let me know if you have any question
Help Plzzzz.........
Answer:
A (i) impossible, because the card D doesn't exist.
(ii) evens, because the number of vowel cards and consonant cards is equal
B (i) 62 - 24 - 13 - 16 = 9
(ii) 24/62*100% = 38.7%
(iii) (13+16) / 62 * 100% = 46.77%
Brian parked in a parking garage 4 floors under ground. Herode an elevator up 17
floors. What floor did he ride up to?
Answer:
Floor ride up to = 13 floor
Step-by-step explanation:
Given:
Parking garage = 4 floors under ground
Elevator up-to = 17 floor
Find:
Floor ride up to
Computation:
Floor ride up to = Elevator up-to - Parking garage
Floor ride up to = 17 floor - 4 floor
Floor ride up to = 13 floor
2
Peter bought some packets of sweets from a shop. Each packet of sweets cost $2.
For every two packets of sweets that he bought, he was given one packet free. If he
left the shop with a total of 31 packets of sweets, find
(a) the number of packets of sweets given free.
(1)
Answer:
21 packets bought, 10 packets free
Step-by-step explanation:
an airplane travels 5424 km against the wind in 8 hours and 6624 km with the wind in the same amount of time. what is the rate of the plane in still air and what is the rate of the wind?
Answer:
The rate of the plane is 753 km/h while the rate of the wind is 75km/h
Step-by-step explanation:
Here in this question, we are interested in calculating the rate of the plane in still air and the rate of the wind.
Since we do not know these rates, we shall be representing both using variables.
Let’s represent the rate of the plane in still air by x kmph while the rate of the wind be represented by y kmph
Now, for us to calculate the speed of the plane while it travels against the wind, that would be the speed of the plane in still air minus the speed of the wind.
Mathematically, that would be (x-y) kmph
Now the speed of the plane while it travels with the wind would be its speed in still air plus the speed of the wind.
Mathematically, that would be;
(x + y) kmph
From the question;
The plane journeyed 5424 km against the speed in 8 hours, this means that its speed will be 5424/8 = 678 kmph
Thus, that means;
x -y = 678 •••••••(i)
Now, traveling with the wind , its speed will be ;
6624/8 = 828 kmph
Thus;
x + y = 828 kmph •••••••(ii)
So we have two equations to solve simultaneously;
Let’s add both together;
x -y + x + y = 828+ 678
2x = 1,506
x = 1506/2
x = 753 kmph
From ii
x + y = 828
y = 828 - x
y = 828 - 753
y = 75 kmph
Can’t seem to figure out how to get the area
Answer:
50sq cm
Step-by-step explanation:
You have to divide the shape into two rectangles. You get a 4x8 and a 3x6.
So then you have 32sq sm and 18sq cm. Add them up and you get 50sq cm.
(-1)(-1)(-1) =
please help i tried (-1) as the answer is it -1 ???
Answer:
Yes
Step-by-step explanation:
-1 = -1
(-1)(-1) = 1
(-1)(-1)(-1)= -1
Answer:
-1 x -1 x -1
= +1 x -1
= -1
Step-by-step explanation:
Please mark me as the brainliest
How much will fertilizer cost for a field 725 feet by 1,021 feet if one bag covers 10,000 square feet and costs $12.97 per bag?
Answer:
$9600.72
Step-by-step explanation:
Area of the field = length × width
Length = 1,021 feet
Width= 725 feet
Area of the field = length × width
= 1,021 feet × 725 feet
= 740,225 square feet
One bag covers 1000 square feet
There are 740,225 square feet
Find the number of bags that will cover the total of 740,225 square feet
Total bags = 740,225 / 10000
=740.225 bags
A bag cost $12.97
Total cost of 740.225 bags= 740.225 × 12.97
= $9600. 71825
Approximately
$9600.72
Solve the equation. Check the solution. 10- 2x - 7 - 8x = 5
Answer:
x=-2
Step-by-step explanation:
Combine like terms:
10- 2x - 7 - 8x = 5
10-(-7)=10+7=17
2x-8x=-6x
17-6x=5
-17 -17
6x=-12
÷6 ÷6
x=-2
Answer:
-10x=2 so x=-5
Step-by-step explanation:
You take your friend out to dinner for their birthday. The bill was $65.00. You left $75.00 which includes the tip. What was the percentage of the tip? (hint divide the tip amount by the amount of the dinner) (use a % sign in your answer and round to one decimal place)
Answer:
6.5%
Step-by-step explanation:
All i did was subtract 65 from the 75 which gave me 10 and I divided that by the original cost which was 65. That gave me 6.5%. Another possible answer is 0.1538461538461538. I just tried my best.
Question Help
A skier is trying to decide whether or not to buy a season skipass. A daily pass costs $77. A season skipass costs $300. The skier would have to rent skis with
either pass for $20 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
Answer:
the answer is 80
Step-by-step explanation:
Solve the following ten riddle I have 30 ones ,82 thousands ,4 hundred thousand, 60 tens and 100 hundreds what number am I
Answer:
182,463 is the number
4 hundred thousand82 thousands 100 hundreds 60 tens30 onesStep-by-step explanation:
hope it will help ^_^
plssssss answer quick Hudson bought a plant and planted it in a pot near a window in his house. The initial height of the plant was 8 inches and it grew at a rate of 3 inches per month. Write an equation for H,H, in terms of t,t, representing the height, in inches, of the plant tt months after Hudson bought the plant.
Answer:
H = 8 + 3t
Step-by-step explanation:
H = height
t = time in months
H = 8 + 3t
H is the height at and given time. 8 is the initial height and since it grows 3 in a month it would be 3 times how ever many months have passed.
For example after 6 months
t = 6
H = 8 + 3 (6)
H = 8 + 18
H = 26in
What is the area of the figure below?
Answer:
please mark my answer brainliest
Step-by-step explanation:
the answer will be...9in square +25in square +24 in square.....=58 in square.....that is ur answer...find individual areas then sum up
A playground measures 300 m × 170 m.Find the cost of planting grass on this at the rate of Rs 80 per hectare.
To find the cost of planting grass , we have to find area of the field.
Area of field = Length × Breadth
[tex]{= 300×170}[/tex]
[tex]{=51000 sq. m}[/tex]
Now convert into hectare.
1 hectare = 10000m sq.
51000 / 10000
So area field = 5.1 hectare sq.
Now cost = 5.1 x 0.80 p
[tex]{= 0.408 p}[/tex]
___________Please help I will mark brainliest!
Answer:
A
Step-by-step explanation:
You know that the negative number with the largest magnitude is farthest to the left on the number line.
3/4 = 9/12
2/3 = 8/12
Then 3/4 > 2/3, so ...
-3/4 < -2/3
What is the sign of -4+-8?
Choose 1 answer:
Positive
Со
B
Negative
Zero
Answer:
Negative
Step-by-step explanation:
negative
-4
-8
+
---
-12
negative