Answers:
Mode = 2Median = 2Mean = 2.8===================================================
Work Shown:
Original set = {5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3}
Sorted set = {1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6}
Do not toss out the duplicates.
The most occurring or most frequent value is 2, so this is the mode.
---------------------------
To find the median, we divide the n = 20 item set into two parts
n/2 = 10
So we'll count to the 10th slot to get to the number "2", which is the second to last "2" in the sorted list shown above.
The number just after this is also "2" in the 11th slot. Average these two values to get (2+2)/2 = 4/2 = 2
The median is 2.
----------------------------
To find the mean, we need to first add up all the data values.
1+1+2+2+2+2+2+2+2+2+2+3+3+3+3+4+4+5+5+6 = 56
Then divide this over n = 20 to get 56/20 = 2.8
The mean is 2.8
The mean being larger than the median tells us we have an outlier that is larger than the main cluster. Those outliers are 5 and 6.
What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x -1
Answer:
[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-interceptParallel lines always have the same slope (m)Determine the slope (m):
[tex]y=\displaystyle-\frac{4}{3}x -1[/tex]
The slope of the given line is [tex]\displaystyle-\frac{4}{3}[/tex], since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be [tex]\displaystyle-\frac{4}{3}[/tex]. Plug this into y=mx+b:
[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]
Determine the y-intercept (b):
[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]
To find the y-intercept, plug in the given point (6,14) and solve for b:
[tex]14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22[/tex]
Therefore, the y-intercept of the line is 22. Plug this back into [tex]y=\displaystyle-\frac{4}{3}x+b[/tex]:
[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]
I hope this helps!
Which equations have the same pair of solutions? Select all that apply.
n(n + 3)(n - 4) = 0
2n(4n + 6)(6n - 4) = 0
0 = 2n(6 - 4n)(4 - 6n)
0 = n(2n + 3)(3n - 2)
2n(2n + 3)(3n - 2) = 0
3n(6n + 9)(9n - 6) = 0
What is the P(Red Diamond Face Card) and the P (Black Face Card)
Answer:
9/1352.
Step-by-step explanation:
P(Red Diamond Face Card) = 3/52.
P (Black Face Card) = 6/52 = 3/26.
So the answer is 3/52 * 3/26
= 9/1352.
complete the table to summarize what you know about each rocket.
A 2-column table with 6 rows. Column 1 is labeled Height (inches) with entries 30, 46, 49, 63, 67, 73. Column 2 is labeled Arm Span (inches) with entries 27, 45, 47, 63, 69, 71.
1. Label axes according to input/output.
is the x–axis label.
is the y–axis label.
2. Plot the ordered pairs of the independent/dependent variables.
The ordered pair
is found in the scatterplot.
Answer:
1. Hight (in.)
2.Arm span (in.)
3.(30,27)
Answer:
1. Hight (in.)
2.Arm span (in.)
3.(30,27)
Step-by-step explanation:
I'm late but hope this helps
A gold coin has a mass of 45.6 grams and a volume of 2.28 cubic centimeters. Calculate its density. Write your answer to the tenths place.
Answer:
Density (ρ) = 20000 kilogram/cubic meter
Step-by-step explanation:
Karen wants to buy a $22.50 jacket that is marked 20% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression Choose.
Answer:
discount = price times % off
discount = 22.50 x 0.20
discount = $4.50
Step-by-step explanation:
Helppp ppleasee ??!!
Answer:
[tex](m^{4} + 5) - n^{3}[/tex] = 85
Step-by-step explanation:
[tex](m^{4} + 5) - n^{3}[/tex] given m = - 2, and n = -4
Substitute the given values into the polynomial expression:
[tex](m^{4} + 5) - n^{3}[/tex]
[tex][(-2)^{4} + 5] - (-4)^{3}[/tex]
= (16 + 5) - (-64)
= 21 + 64
= 85
Therefore, the correct answer is 85.
Answer: 85
Step-by-step explanation:
(m^4+5)-n^3
(-2^4+5)-(-4)^3
(16 + 5)-(-64)
21 + 64 = 85
what is the equivalent value 3/2×(−2)
Answer:
= -3
multiplying and dividing fractions
Answer:
-3
Step-by-step explanation:
3/2^(-2)=-3
Domingo earns $13 dollars per hour and worked 47.5 hours that week. He is paid
double time for all hours worked over 40 hours in one week. What is his gross pay
for the week?
Domingo earns 715$ in the week that is his gross income
find the total cost 35$ with 50% discount
Answer:
The total cost will then be $17.5
Answer:
17.5 dollars
Step-by-step explanation:
Sale price = $17.5 (answer). This means the cost of the item to you is 17.5. You will pay $17. 5 for a item with an original price of $35 when discounted 50%. In this example, if you buy an item at $35 with 50% discount, you will pay 35 - 17.5 = 17. 5
QUESTION 8
The city Music Hall charges $24.00 per adult and $14.00 per senior citizen. One day 492 people attended a concert. The total for tickets purchased
was $7878.00. How many senior citizens attended the concert?
O 393 senior citizens
O 99 senior citizens
O200 senior citizens
O 292 senior citizens
Answer:
Adults (x) = 99 and
Seniors (y) = 393
393 seniors
Step-by-step explanation:
Adults= x
Seniors = y
1) x+ y = 492
2) 24x + 14y = 7,878
1) x = 492 - y
2) 24 (492 - y) + 14 y = 7,878 (substitution)
11808 - 24y + 14y = 7,878
11,808 - 10y = 7,878
11,808 - 7,878 = 10y
3,930/10 = y
y = 393
1) x + 393 = 492 (substitution)
x = 492 - 393
x = 99
A rental car company charges $54.35 per day to rent a car and $0.09 for every mile driven. Jayden wants to rent a car, knowing that: • He plans to drive 425 miles. • He has at most $310 to spend. Use the drop-down menu below to write an inequality representing d, the total number of days Jayden can rent the car while staying within his budget.
The inequality representing d, the total number of days Jayden can rent the car while staying within his budget is 54.35d + 38.25 ≤ 310
Given:
Charge per day = $54.35
Charge per mile = $0.09
Total miles = 425 miles
Amount to spend = at most $310
let
d = number of days
The inequality:
54.35 × d + 0.09 × 425 ≤ 310
54.35d + 38.25 ≤ 310
54.35d ≤ 310 - 38.25
54.35d ≤ 271.75
d ≤ 271.75 / 54.35
d ≤ 5 days
Therefore, the total number of days Jayden can rent the car while staying within his budget is 5 days
Read more:
https://brainly.com/question/11166576
Solve the inequality.
-12 < 1/2(x+16) < 18
Answer:
-40 < x < 20
Step-by-step explanation:
step 1: -12 < 1/2(x+16) < 18 --> Distribute
step 2: -12 < 1/2x + 8 < 18 --> subtract 8
step 3: -20 < 1/2x < 10 --> Multiply by 2
answer : -40 < x < 20
Due tomorrow i need help please
Answer:
(-6,9)
Step-by-step explanation:
You first need to simplify the polynomial, which would equal to (x-9)(x+6). Then afterwords you would have to get the zeros of x by doing inverse operation, which would equal to (-6,9). Since these greater and lesser than the number within the graph they are parentheses instead of brackets.
Please help It really important
A
the domain is the x-axis number soooo
what is the height of the prism?
Answer:
6m
Step-by-step explanation:
Hope this helps!!!
Answer:
Step-by-step explanation:
l = 3 m
w = 2 m
Volume = 36 cubic meter
l * w * h = 36
3 * 2 * h = 36
6 * h = 36
h = 36/6
h = 6 m
How many solutions are there for the following equation? Why?
8(x + 9) = 72 – 5x
Select the option that correctly answers both questions.
1 There is one solution, because the coefficients of the variables on both sides of the equation are different.
2 There is one solution, because the coefficients of the variables on both sides of the equation are the same.
3 There are no solutions, because the coefficients of the variables on both sides of the equation are different.
4 There are no solutions, because the coefficients of the variables on both sides of the equation are the same.
Answer:
I think 2? maybe 1.
Step-by-step explanation:
because it becomes 8x+72=72-5x which can then become 3x=0 then x=0/3 and 0/3=0 so x=0
Pls anyone know this
Plzzzz I need Helpppp!!!
Answer:
(8x+15)=(7x+17){ being alternative angle}
8x+15=7x+17
8x-7x=17-15
x=2
here,
8x+15= 8×2+15
16+15=31
7x+17
7×2+17
14+17
31
again
(8x+15)+y=180°( being straight angle)
31+y=180
y=180-31
y= 149
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In the given figure, Angles (8x + 15) and (7x + 17) are equal
because they form pair of Alternate interior angles.
[tex]8x + 15 = 7x + 17[/tex][tex]8x - 7x = 17 - 15[/tex][tex]x = 2[/tex]So,
[tex]8x + 15[/tex][tex]( 8\times 2) + 15[/tex][tex]16 + 15[/tex][tex]31 \degree[/tex]now, as we can see Angle y and (8x + 15) are forming linear pair; so their sum measures 180°
[tex](8x + 15) + y = 180[/tex][tex]31 + y = 180[/tex][tex]y = 180 - 31[/tex][tex]y = 149 \degree[/tex]If the scale is 3cm to 8 km, what is 5 cm?
Answer:
Step-by-step explanation:
3 cm=8 km
1cm=8/3 km
5 cm=8/3×5=40/3 =13 1/3 km
Evaluate the following real numbers:
1. l5l + l4l
2. 0.4 ÷ 10
3. ¼ + ⅔
4. 3 × 1 ½
5. ⅓ - ¼
6. (⅜) (8/5)
7. ⅖ + ⅗
8. -1 + (-1) + [-(9+4)]
9. the value of x + y if x = 4 and y = 6
10. 9² + 3³
Answer:
Q.1 Answer is 9
Q.2 Answer is 0.04
Q.3 Answer is 11/12
Q.4 Answer is 3/2
Q.5 Answer is 1/12
Q.6 Answer is 3/5
Q.7 Answer is 1
Q.8 Answer is -15
Q.9 Answer is 10
Q.10 Answer is 108
Graph y= –3x+4.
i need a pic
5o points and brain thing
Refer to the attachment
Find the solution to the system of the equations shown below:
y = - 4x + 11
y = 1/2x+ 2
a. (4,1)
b. (11, 2)
C. (2,3)
d. (3, 2)
Which of the sets of terms below does NOT include like terms? *
1 point
9m, -9m, 7m
1p, -7p, 7p
30, -25, 25
6x, 6y, 6z
Check cashing companies
charge high fees. Banks charge
less, or nothing, to cash checks
for their account holders. How
can you be sure to avoid check
cashing companies?
Answer:
they usually cost nothing if you go through your bank
what is the value of y in the triangle?
Answer:
y = 3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Since sinθ = opp/hypoteneuse,
sin60 = y/6
y = sin60° * 6
= [tex]\frac{\sqrt{3} }{2}[/tex] * 6
≈ 3[tex]\sqrt{3}[/tex]
Hence, y = 3[tex]\sqrt{3}[/tex]
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
helpppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
a) = 4.198
b) = 4.146
Step-by-step explanation:
a) 15.444/6+0.232*7
do pemdas
=15.444/6+(0.232*7)
=(15.444/6)+1.624
=2.574+1.624
a) = 4.198
b) (1.709+0.364)*6/3
pemdas again
=(2.073) *6 / 3
=12.438 / 3
b) =4.146
Hope this helps :)
Answer:
A 4.198 and b is 2.073
Step-by-step explanation:
i hope this is right
I need help ASAP !!!
Answer:
B is it
Step-by-step explanation:
The parking lot at a grocery store has 90 cars in it. 30% of the cars are two-toned. How
many cars are two-toned?
27
if 90 is 100% and we have to find 30% we have to do this:
(90 * 30) / 100 = 27
two toned cars are 27