Given:
The data values are:
12, 3, 7, 8, 9, 12, 10
To find:
The mean,median ,and mode for the given set of date.
Solution:
We have,
12, 3, 7, 8, 9, 12, 10
Arrange the values in ascending order.
3, 7, 8, 9, 10, 12, 12
Mean of the data set is:
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
[tex]\text{Mean}=\dfrac{3+7+8+9+10+12+12}{7}[/tex]
[tex]\text{Mean}=\dfrac{61}{7}[/tex]
[tex]\text{Mean}\approx 8.7143[/tex]
Number of observations is 7 which is an odd number. So, the median is:
[tex]Median=\dfrac{n+1}{2}\text{th term}[/tex]
[tex]Median=\dfrac{7+1}{2}\text{th term}[/tex]
[tex]Median=\dfrac{8}{2}\text{th term}[/tex]
[tex]Median=4\text{th term}[/tex]
The 4th term from the arranged data set is 9.
[tex]Median=9[/tex]
Here, the most frequent number is 12 because it occurs 2 times. So, the mode of the data set is 12.
Therefore, the mean of the data set is 8.7143, median is 9 and mode is 12.
Which of the following is most likely the next step in the series?
Answer:
Its D
Step-by-step explanation:
40 POINTS HALP
Find the value of x, y, and z
Answer: x= 108°, y=36°, and z= 30°
Step-by-step explanation: 72 and 3y make a supplementary angle which is equal to 180°.
(3z+18) and x are corresponding angles so they're equal to each other.
Levi had 5 feet of wrapping paper. He then used 1 ¾ feet to wrap a box. How much wrapping paper does Levi have left?
HELP!!
$500 is invested at 4.3% annual interest for 18 months.
a. Simple Interest b. Compound Interest
Answer:
a. $532.25 b. $1247.40
Step-by-step explanation:
a. A=P(1+rt)
500(1+0.043*1.5)
b.A=P(1+r/n)^nt
500(1+0.043/1.5)^18*1.5
(not 100% sure on compound interest though, sorry )
from
The data represented by the following stem-and-leaf plot range
to
2578
324
4129
503
Melanie earns $97.50 in 6 hours. Earl earns $296.00 in 20 hours. Who earns the higher rate per hour? Explain your answer.
0.22 divided by 11 If you answer this you will be the BRAINLIEST
Answer:
0.02
Step-by-step explanation:
i dont know if u want explanation
3. A website allows users to download individual songs or whole albums.
All songs cost the same price to download. All albums cost the same price
to download, Karim pays $30 to download 5 songs and 2 albums.
Kimberlyn pays $26 for download 3 songs and 2 albums. What is the cost
to download 1 song? 1 album?
Answer:
Each song costs $2 and each album costs $10.
Step-by-step explanation:
Since a website allows users to download individual songs or whole albums, and all songs cost the same price to download and all albums cost the same price to download, and Karim pays $ 30 to download 5 songs and 2 albums while Kimberlyn pays $ 26 for download 3 songs and 2 albums, to determine what is the cost to download 1 song and the cost to download 1 album, the following calculations must be made:
5X + 2Y = 30
3X + 2Y = 26
(30 - 26) / (5 - 3) = X
4/2 = X
2 = X
Therefore, each song has a cost of $ 2.
Thus, to know the cost of each album (knowing that both downloaded the same amount, that is, 2), the following calculation must be performed:
5x2 + 2Y = 30
10 + 2Y = 30
2Y = 30 - 10
2Y = 20
Y = 20/2
Y = 10
Therefore, each album has a cost of $ 10.
7 and - 1 1/2 on the number line?
Answer:
7 will lie on 0 and 1 and 1/2
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 6m and a diameter of 6m. The container will be made from steel (including its top and bottom). If the steel costs $27 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent
Answer:
The cost of required steel is [tex]169.56 *27 = 4578.12[/tex] dollars
Step-by-step explanation:
The surface area of cylinder will be equivalent to the area of the steel sheet.
Surface area of cylinder [tex]= 2\pi rh+2\pi r^2[/tex]
Substituting the given values we get
Surface area of cylinder
[tex]= 2*3.14*3*6 + 2*3.14 *3^2\\= 169.56[/tex]square meter
Cost of 1 square meter of steel is $27
Then, the cost of required steel is
[tex]169.56 *27 = 4578.12[/tex] dollars
Choose the theorem that proves these triangles are congruent.
Answer:
ASA
Step-by-step explanation:
If STV is congruent to UVT as UTV is congruent to SVT, then TV is a transversal which is congruent to itself. Therefore, reading left to right, the theorem that proves the triangles congruent is ASA because we have two pairs of congruent angles and one side.
Can somebody help me with these two pls
Answer:
Step-by-step explanation:
Five years ago alex was 12 times as old as tom alex is 41 now how old is tom now
Step-by-step explanation:
I think this will help you. Thanks.
What does A(2,5) become after rotated 360 degrees?
A) (-2,-5)
B) (5,-2)
C) (-5,2)
D) (2,5)
Answer:
D
Step-by-step explanation:
Its D because when you rotate 360 degrees you end up back where you were
Jackie bought a CD for $11.50. The sales tax is 6%. How
much did Jackie pay for the CD, including the sales tax?
$12.19
before the tax price is $11.50
and %6 is equal to $0.69
therefore if you add those together you'll get an answer of $12.19
HELP MEEE IM TIMED. THANK UUU
Answer:
It's the third option, y = [tex]\frac{1}{3}[/tex] x + 2
Step-by-step explanation:
It is rise over run.
This means you go up one, then go three right.
Answer:
Read below please :)
Step-by-step explanation:
when writing an equation, you use rise over run, or, [tex]\frac{rise}{run} or ( \frac{y}{x} )[/tex], so you'd get 3/1 (3) + 6/2 (3) as you can see, y = half of x. So, because you know what x(6), and what y(3) is, just imput the answers and see which makes sense.
Hope this helps :)
It's the 3rd
consider this data set.
18, 11, 4, 9, 2, 3, 5
which box plot displays the data shown?
Answer:
d
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
Rent-a-hunk o’ junk charges 29.95 per day
Answer:
.
Step-by-step explanation:
Help
Find the experimental probability that 4 of 4
children in a family are boys.
The problem has been simulated by tossing 4
coins (one to represent each child). Let "heads"
represent a boy and "tails" represent a girl. A
sample of 20 coin tosses is shown.
HTHн HTTH TTTT THTT НТНТ
HHTT HHHT THHT HTTH ТОНН
HTTT НТНТ ТОНН ТНТН HTHн
TTHT HTTT НТНТ HHHT HHHH
Experimental Probability = [?]%
Enter
Answer:
5%
Step-by-step explanation:
I didn't see any more than I HHHH
There are 20 total tosses.
1 was successful
P(4 heads)= 1/20
Experimental Probability = 1/20 * 100 = 0.05 * 100 = 5%
If you see more than one HHHH put the number that you count over 20 and multiply by 100.
Answer:
sorry sorry sorry sorry sorry
It’s only one question plz help (DON’T GUESS NO LINKS) please I will do anything there is a part two I’m struggling and this is the last assignment that will bring my grade up!!
Answer:
For question 1 it's B
For question 2 it's C
Step-by-step explanation:
For question 1, you have to apply the "Triangle Inequality Theorem"
A+B > C
B+C > A
A+C > B
Let's say that A=22, B=17, C= 14
22+17 > 14 True
17+14 > 22 True
22+14 > 17 True
Therefore, the answer is B
For question 2, you apply the rule of the sum of the triangles which is 180°
70+70+? = 180
140+? = 180
? = 40
Therefore, it's C
Abdallah earns AED 30 for each car he washes. He also gives his little brother AED 20 form his weekly earnings. This week, he wants to have at least / minimum AED500 in spending money. Which inequality represents the number of cars that he must wash?Single choice.
A.30 x + 20 > 500
B.-30x+20 <500
C.30x -20 ≥ 500
D.20x +30≥500
Answer:
Step-by-step explanation:
–5x+4
constant
coefficient:
variable:
Answer:
constant: 4
coefficient:-5
variable:x
Step-by-step explanation:
You can easily search up the definition of each word and figure it out just saying. It's fine if u wanna do this-
Anyone know this......
The general equation is given as,
Un+1 = (Un)^3+2
here, n = number of the sequential entries like 0,1,2,3... so on.
so we get here as,
Uo = -3 , so we find U1 and U2
U1 = n+1 = 0+1
so,
===> U1 = (-3)^3 +2
===> U1 = -27 + 2 ==> U1 = -25
now, U2
U2 = n+1 = 1+1
so,
U2 = (-25)^3 + 2
U2 = -15625 + 2 ===> U2 = -15623
hence,
U1 = -25 and U2 = -15623
A baking club sold 1/3 of thier cupcakes in the morning and 1/6 of thier cupcakes in the afternoon. The baking club had 360 cupe cakes at the beginning of the day. how many cupcKes did they sell in the morning?
What is the PERIMETER of this green rectangle? 3 in. 7in
Answer:
20 in
Step-by-step explanation:
look at pic 10 pts will mark brainilest
Answer:
B
Step-by-step explanation:
find the angle measure x in the following figures
Multiple choice
1. Cube
2.Triangular pyramid
3.Triangular prism
4. Rectangular prism
Simplify the following expression. 3^2/5 x 3^(-7/5) A. 1/243 B. -14/25 C. 1/3 D. -3
Answer:
C
Step-by-step explanation:
3^2/5 x 3^-7/5
We know that a^b* a^c = a^(b+c)
3^(2/5 -7/5)
3^ (-5/5) = 3^ -1
We know that a^-b = 1/ a^b
3^-1 = 1 / 3
Pls help me with this
Answer:
3.7 pi
Step-by-step explanation:
2 pi r( n/360)
22 pi(60/360)
3.7 pi= 11.6