Answer:
1) 70 for both of them
2) Plot A's range is 100-50 = 50, Plot B's range is 100 - 40 = 60 so Plot A has the lesser range
3) Plot B's IQR is 85 - 60 = 25, Plot A's IQR is 80 - 65 = 15 so Plot B has the greater IQR
4) A: 80, B: 85
5) A: 65, B: 60
6) 50
7) 100
8) Plot B, see #2 for work
9) 50% - 50% of data is always between Q1 and Q3
10) 25%
11) 25%
QUESTION 1
1.1
The sequence 1 ; 5 ; 11 ; 19 ; .......is a quadratic sequence.
1.1.1 Determine an expression for the nth term of the sequence.
(4)
(4)
1.1.2 Which term of the sequence is 2 549?
1.2
The following sequence of numbers is given: -2;-3; -6;-11;
(4)
1.2.1 Determine an expression for the nth term of the sequence.
1.2.2 Explain why the sequence of numbers will never contain a positive term.
(1)
[13]
GESTION 2
The nth terms of sequence 1 ; 5 ; 11 ; 19 is n² + n + -1 and the nth terms of sequence -2;-3; -6;-11; is -n² + 2n -3 .
What is quadratic sequence?The differences (referred to as first differences) between every two successive terms are the same, then it is called an arithmetic sequence (which is also known as a linear sequence). But if the first differences are NOT same, and instead, the second differences are the same, then the sequence is known as a quadratic sequence.
According to the question
The sequence 1 , 5 , 11 , 19
First difference : 4 6 8
Second difference: 2 2
1.1.1>
Now, expression for the nth term of the sequence.
Quadratic equation
ax² + bx + c
at n= 1
a + b + c = 1 -----------------(1)
At n = 2
4a + 2b + c = 5 ------------------(2)
At n = 3
9a + 3b + c = 11 -------------------(3)
solving equation
Subtracting equation (3) from (2)
9a + 3b + c = 11
-4a - 2b - c = -5
5a + b = 6 ----------------------(4)
Subtracting equation (2) from (1)
4a + 2b + c = 5
-a - b - c = -1
3a + b = 4 ---------------------------- (5)
Subtracting equation (5) from (4)
5a + b = 6
-3a - b = -4
2a = 2
a = 1
Putting value in equation (5)
3a + b = 4
3*1 + b = 4
b = 1
Substituting the value in equation (1)
a + b + c = 1
1 + 1 + c = 1
c = -1
Substituting the value in the quadratic equation
x² + x + -1
For nth term
n² + n + -1
1.1.2>
Term of the sequence is 2549
Now,
using the nth term
n² + n + -1 = 2549
n (n+1) = 2550
n (n+1) = 50 * 51
n = 50
1.2> sequence of numbers is given: -2 ,-3 ,-6 ,-11
First difference = -1 -3 -5
Second difference = -2 -2
1.2.1 >
Now , expression for the nth term of the sequence.
Quadratic equation
ax² + bx + c
at n= 1
a + b + c = -2 -----------------(1)
At n = 2
4a + 2b + c = -3 ------------------(2)
At n = 3
9a + 3b + c = -6 -------------------(3)
solving equations
Subtracting equation (3) and (2)
9a + 3b + c = -6
-4a - 2b - c = 3
5a +b = -3 ----------------(4)
Subtracting equation (2) and (1)
4a + 2b + c = -3
-a - b - c = 2
3a + b = -1 -------------------(5)
Now,
Subtracting equation (5) and (4)
5a +b = -3
-3a - b = 1
2a = -2
a = -1
Putting value of a in equation (5)
3*-1 + b = -1
b = 2
Substituting values in equation (1)
-1 + 2 + c = -2
c = -3
nth term
-n² + 2n -3
1.2.2>the sequence of numbers will never contain a positive term.
because its first term is -ve and difference between consecutive term is always -ve. or as per nth term n² is a -ve term .
Hence, the nth terms of sequence 1 ; 5 ; 11 ; 19 is n² + n + -1 and the nth terms of sequence -2;-3; -6;-11; is -n² + 2n -3 .
To know more about Quadratic equation here:
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Can Someone Help Me. ? Please
Answer:
the first answer maybe?
Step-by-step explanation:
Which of the following is not a measure of central tendency?
A. Mean
B. Median
C. Range
D. Mode
Answer:
C
Step-by-step explanation:
C is the answer becasue range is not classified as a measure of central tendency
Find the surface area of the prism.
15mm 10mm 8mm
A. 320 mm2
B. 400 mm2
C. 494.2 mm2
D. 502 mm2
HELP MATH QUESTION!!!!
Answer:
Keep it up
Step-by-step explanation:
Your teacher is nice for posting it to you iif you can not solve again brick it to me and followed me
Please help, test due in 1 hour! I will give brainliest!
Answer:
Soooooo, for Part A I got answer choice D.
I didn't want to overthink it like I normally do with everything else in life so i was like, there are 3 boxes on the side and 4 boxes on the bottom, so 3 times 4= 12.
Now i know that the area of the neighborhood is 12 blocks and 20 blocks equals a mile. 12 is obviously not 20, twelve is actually a little bit over half of twenty or .50%, so the best answer would be D.60%.
Now part B, i dont know bout all that, I can only give you half an answer. Copped out at the mention of the word Density XD. Hope that first part helped tho.
find area,of the triangle
digits only. I counted the lines, 7 and 12 ÷2. and it was wrong
Answer:
33 units²
Step-by-step explanation:
1/2(11 x 6) = 33 units²
It takes ⅙ of a yard of ribbon to make one bow. How many bows can be made with 4 yards of ribbon?
Answer:
24 bows can be made with 4 yards of ribbon
A pair of shoes is on sale for $66.00. This is 75% of the original price. What was the original price?
Answer:
$88.00
Step-by-step explanation:
66=3/4x
66/.75=66*4/3=88
The area of a pasture is 4200 m and the perimeter is 260 m. What are the length and width of the pasture?
Answer:
70 m and 60 m
Step-by-step explanation:
The formula for the area of a rectangle is length ⋅ width.
The area of the pasture of 4200 meters.
70 ⋅ 60 = 4200.
The formula for the perimeter of a rectangle is side + side + side + side.
The perimeter of the rectangle is 260 meters.
70 + 60 + 70 + 60 = 260.
Therefore, the length and width of this pasture are 70 meters and 60 meters.
1. Which equation represents the line that passes through the points (1,1) and (-2,7)?
a. y=-2x + 9
b. y=-2x + 3
c. y=-1/2x + 8
d. y=-1/2x + 6
Answer:
B
Step-by-step explanation:
find slope which is -2 then plug into equation y=mx+b to find constant of 3
Someone please please help me with this!!!
Answer:
[tex]4x {}^{2} - 36 \\ = (2x + 6)(2x - 6) \\ hence \: option \: b \: is \: correct[/tex]
Meiling needed $5.35 to buy a ticket to a show. In her wallet, she found 2 dollar bills, 11 dimes, and 5 pennies. How much more money does Meiling need to buy the ticket?
Answer:
no she needs $2.20 more
Step-by-step explanation:
2+ 1.10+.05= $3.15
$5.35 - $3.15 = the answer
Daniel buys a DVD at an electronics store. The DVD costs $24.35. Daniel hands the cashier two $20 bills. How much change did Daniel get?
Answer:
$15.65
Step-by-step explanation:
$20 + $20 = $40
$40 - $24.35 = $15.65
Find the value of x. Round to the nearest tenth
all parallelogram are rectangle?true or false
Answer. False... All rectangles are parallelograms.
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
Answer: False
Step-by-step explanation:
Parallelogram does not include some of rectangle's property
Having four congruent anglesHaving congruent diagonalsIf you need a more graphical explanation, refer to the attachment below.
What is the volume of the prism? Enter your answer in the box as a mixed number in simplest form: 41 cm 22cm 6 cm cm
Answer:
V = 5412 cm^3
Step-by-step explanation:
[tex]v \: = 41 \times 22 \times 6 \\ \\ v = 5412 \: {cm}^{3} [/tex]
I hope that is useful for you :)
Which of the following points( X,Y) lies on the graph of 8X + 2Y = 24
Step-by-step explanation:
don't see any points to pick from however the following would lie on the graph
(0,12)
(1,8)
(2,4)
(3,0)
(4,-4)
help me please with this answer I'm stuck
Riley purchased a 30-day International cell phone plan for use during winter break. There is a one-time fee of $35 and it includes 150 MB of data usage. Each extra megabyte,
or part thereof, of data costs $0.28. Find the cost of the plan if he uses 388 MB of data during the trip.
Answer:
the cost of the plan in the case when 388MB is used is $101.64
Step-by-step explanation:
The computation of the cost of the plan in the case when 388MB is used
Given that
One time fee is $35
And, it involves 150 MB of data usage
Also for the extra megabyte it charges $0.28
So for 388MB, the cost of the plan is
= $35 + 0.28 × (388 MB - 150 MB)
= $35 + $66.64
= $101.64
Hence, the cost of the plan in the case when 388MB is used is $101.64
Find the measurement of angle P.
For a quadrilateral to be a rhombus, the diagonals __ and __.
Blank one options:
must be congruent
must not be congruent
can be congruent or not congruent
Blank two options:
must be perpendicular
must not be perpendicular
can be perpendicular or not perpendicular
Michael has a pail that holds 5 gallons of
water. How many quarts of water does the
pail hold?
Answer:
20 quarts.
Step-by-step explanation:
Because there are 20 quarts in 5 gallons.
An entry code into a building is a 5-digit number.
The number of different codes can be counted using
a. permutations
b. combinations
Answer:B
Step-by-step explanation:
What is the angle between any two windmills blades in the windmill
Which fractions equal the whole number 3?
Answer:
9/3=3
Step-by-step explanation:
3 goes into 9 3 times
3,6,9
Which statement best describes the association?
A.
The data shows a negative association with a trend line of y = -2x + 3
B.
The data shows a negative association with a trend line of y = -2x – 3.
C.
The data shows a positive association with a trend line of y =
x
2
+ 3
D.
The data shows a positive association with a trend line of y = 2x – 3
Answer:
c the data shows positive associations with trend line
Mackenzie thought that the basketball
team would win 16 games, but they
only won 12. What was his percent
error?
His percent error is 25% because 12 is 75% of 16. 100 - 75 = 25
Answer:
75% correct and 25%error
Step-by-step explanation:
As 12÷16×100=75%
The error =100-75=25%
PLEASE HELP!!!!!
The model represents the quotient of two fractions.
Which equation does this model represent?
A. 5/6 ÷ 1/2 = 1 2/3
В. 2 1/2 ÷ 1/2 = 5/6
C. 5/6 ÷ 2 1/2 = 1/3
D. 2 1/2 ÷ 1/2 = 5
9514 1404 393
Answer:
D.
Step-by-step explanation:
The shaded portion of the three large rectangles is 2 1/2 of them. The divisions indicated by the fractions at the bottom are 1/2. The figure shows that 2 1/2 can be divided by 1/2 with the result that 1/2 goes into 2 1/2 five times.
This description seems to match the equation of choice D.
The Westminster Widget Company has an old machine that can produce 24 widgets in three hours. Now they have purchased a new
machine that can produce 48 widgets in four hours. Working together, how long will it take the two machines to produce 120
widgets?
9514 1404 393
Answer:
6 hours
Step-by-step explanation:
The old machine produces widgets at the rate of ...
(24 widgets)/(3 h) = 8 widgets/h
The new machine produces widgets at the rate of ...
(48 widgets)/(4 h) = 12 widgets/h
The total rate of production of the two machines is ...
(8 +12) widgets/h = 20 widgets/h
Then the time required to produce 120 widgets is ...
(120 widgets)/(20 widgets/h) = 6 h
Working together, the two machines can produce 120 widgets in 6 hours.
Answer:
6
Step-by-step explanation:
took the test