Range is one of the important description of a data set. The range of the given data sets is given as:
Range of set 1 is 37Range of set 2 is 9Range of set 3 is 65Range of set 4 is 63How to find the range of a set of data values?Range = Maximum value of the data set - Minimum value of the data set.
For the given sets, we get their range as:
Set 1: 48, 47, 34, 37, 11, 39Maximum value = 48, minimum value = 11
Range of the data set = Maximum value - minimum value = 48-11 = 37
Set 2: 42, 47, 44, 40, 41, 49, 48, 45, 43Maximum value = 49, minimum value = 40
Range of the data set = Maximum value - minimum value = 49 - 40 = 9
Set 3: 85, 98, 31, 96, 49, 77, 82Maximum value = 96, minimum value = 31
Range of the data set = Maximum value - minimum value = 96-31=65
Set 4: 112, 114, 116, 175, 115, 134, 117Maximum value = 175, minimum value = 112
Range of the data set = Maximum value - minimum value = 175-112 = 63
Thus, the range of the given data sets is given as:
Range of set 1 is 37Range of set 2 is 9Range of set 3 is 65Range of set 4 is 63Learn more about range here:
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please show work and explain every step!
Answer:
x = 6
FE = 28
Step-by-step explanation:
The triangles are similar so their side lengths are proportional
we can use that proportional value to find x and FE
(5x-2)/42 = (4x+2)/39 cross multiply expressions
195x - 78 = 168x + 84 get like expressions to the same side of the equation
195x - 168x = 84 + 78
27x = 162 divide both sides by 27
x = 6 now to find FE replace x with 6 in the expression
5x - 2 = 5×6 - 2
FE = 28
help me pls!!
find x and y
y= -3x=-19
5x+8y=0
Answer:
x= -8; y= 5
Step-by-step explanation:
5x + 8 ( -3x -19) =0
5x -24x -152 =0
5x -24x= 152
-19x = 152
x= -8
y= -3x -19
y= -3(-8) -19
y= 5
5x + 8y = 0
5(-8) + 8(5) =0
-40 + 40 = 0
A sequence is defined by the following: an = 4n – 1 What is a1? What is a8?.
Answer:
a^1=1
a^8=16,384
Step-by-step explanation:
The original equation of a^n=4^n-1 uses n as a placeholder variable for whatever value is needed to solve the equation. For the first question, which gives 1=n, substituting 1 into the equation gives you the answer of 1. 1-1=0. You can not have any number to the power of zero however, so due to the multiplicative identity, you end up with a positive 1.
The second one we are given 8=n. 8-1 equal 7. 4 to the power of seven (multiply 4 by itself 7 times) gets you 16, 384.
Given the sequence defined as [tex]a_{n} = 4n - 1[/tex], [tex]a_{1} =3\ and\ a _ {8} = 31[/tex].
What is an arithmetic sequence?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
[tex]a_{n} = a_{1} + (n-1)d[/tex]
Given sequence:
[tex]a_{n} = 4n - 1\\\\a_{1} = 4 * 1 - 1 = 4 - 1 =3\\\\a _ {8} = 4 * 8 - 1 = 32 - 1 = 31[/tex]
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if x+b=6 then what is b
Answer: 3
Step-by-step explanation: 6 is 3 and 3 so b is 3 and x is 3
With the baby in his arms, Mr. Greer weighed 180 pounds. Without the baby, he weighed 165 1/2 pounds. How much did the baby weigh?
ANSWERS ASAP!
Answer:
14.5 Pounds
Step-by-step explanation:
Subtracting 165.5 lb from 180 lb gives you 14.5 lb
A high definition radio station charges $200 membership fee for one year in addition to $50 per month for the first 6 months to receive its broadcast. The total cost for the services is determined by the number of months
Answer:
300.00$
50$ per month
6 months
50x6
How many triangles can I make with 3cm, 5cm, 4cm?
Answer:
You will need “paper sticks” that are 3cm, 4cm and 5cm long. Each measurement should have its own colour (e.g., 3cm red, 4cm green, 5cm blue). You will need to make approximately 12 of each “stick”.
Step-by-step explanation:
help me graph this please
Answer:
what do you need help with
Step-by-step explanation:
Write an expression for the area of the shaded region in its simplest form. Show all of your steps. Show your work!
Answer:
[tex]A=x^2+23x+49[/tex]
Step-by-step explanation:
Hi there!
The area of the shaded region is equal to the area of the big rectangle minus the area of the square.
Area of the big rectangle:
[tex]A=lw\\A=(x+10)(2x+5)[/tex]
Area of the square:
[tex]A=a^2\\A=(x+1)^2[/tex]
Area of the shaded region:
[tex]A=(x+10)(2x+5)-(x+1)^2[/tex]
Expand:
[tex]A=(x+10)(2x+5)-(x+1)^2\\A=2x^2+5x+20x+50-(x+1)^2\\A=2x^2+5x+20x+50-(x^2+2x+1)\\A=2x^2+5x+20x+50-x^2-2x-1[/tex]
Combine like terms:
[tex]A=2x^2-x^2+5x+20x-2x+50-1\\A=x^2+23x+49[/tex]
I hope this helps!
I NEED HELPPPPP ON THISSS ASAPPPPPPPP!!!!!!!!
- THIS IS A 50 POINT QUESTION
Answer:
40
Step-by-step explanation:
Sum of all angles of triangle = 180°
∠W + ∠X + ∠Y = 180
10x + 17 + 2x - 9 + 3x + 7 = 180
10x + 2x +3x + 17 - 9 + 7 = 180
Combine like terms
15x + 15 = 180
15x = 180- 15
15x = 165
x = 165/15
x = 11
∠Y = 3x +7 = 3*11 + 7 = 33 + 7 = 40
Answer:
X is 11 and after substitution y is 40
Which of the following represent the three sides of the right triangle shown below? Select all that
apply
20
18
16
14
12
10
8
6
4
2
0
1
2
3
4
5
6
7
8
9
10
you want a better price to pay the bill on leaderboard than a year old but the only other person would need points on a few days is a bit less expensive for you but you are going a good job in my career that will give my heart and legendary domortu for my son who loves the music he deserves as much for as a person can see it all of you can be very creative as I
Perform the indicated operation.
3.26 + (-4)
0.74
-0.64
3.22
-0.74
Answer:
-0.74
Step-by-step explanation:
[tex]3.26 + ( - 4) \\ + \times - = - \\ 3.26 - 4 \\ substract \: the \: terms \\ - 0.74[/tex]
Let f(x)=4x2 6. The function g(x) is f(x) translated 4 units down. What is the equation for g(x) in simplest from? Enter your answer by filling in the box. G(x) =.
The G(x) is the new function of the f(x) which is translated 4 units down is 4x²+2.
What is Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function can be transformed from the initial position of the new position by subtracting the 4 from the initial function.
We know that in the initial function y=4x²+6, y is the output, while x is the input for the function f(x).
As the G(x) is the new function of the f(x) which is translated 4 units down. therefore,
[tex]G(x) = f(x)-4\\\\G(x) = 4x^2+6-4\\\\G(x) =4x^2+2[/tex]
hence, the G(x) is the new function of the f(x) which is translated 4 units down is 4x²+2.
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A tree was 4 m tall. One year later, the tree grew f m and became 10 m tall. Write an equation for the height of the tree
Answer:
6m
Step-by-step explanation:
10m-4m=6m
I hope this helped!
Answer:
4+6=10
Step-by-step explanation:
Is (0,7) a solution to the equation 2x+y=6
Answer:
No
Step-by-step explanation:
2(0)+7
=0+7
=7
therefore,(0,7) is not a solution to the equation 2x+y=6
0=×
7=y
Answer: no it isn’t
Step-by-step explanation: this is super simple so do solve this you have know your x and y values on coordinate points in this case (0,7) our x here is 0 and our y is 7 (the x will always be the first number and the y will be the last)
Here we are given a equation all we have to do is plug 0 for x and 7 for y.
2(0)+7=6
2 x 0= 0
So: 0+7=7
7 does NOT equal to 6 therefor (0,7) is NOT a solution
Question 7 of 10
What is the midpoint of the segment shown below?
10+
O A. (-1,-3)
O B. (-2, -3)
(-11.0)
- 10
(9,-1)
O C. (-2, -1)
- 10
O D. (-1,-1)
Answer:
A. (-1, -1/2) is the correct answer.
can you pls answer 1 and 2 ?? ( i am clueless how to do this )
Answer:
1: M'N'P'Q is NOT the dilation
2. UVW is the dilation
Find the value of x. Round your answer to the nearest tenth.
Answer:
The value of x is 12.24
Step-by-step explanation:
Given;A right angled-triangleTo Find;The value of xNow,
tan 36 = x/17
0.72 = x/17
x = 17 × 0.72
x = 12.24
Thus, The value of x is 12.24
-TheUnknownScientist 72
which one of the following rules describes this transformation?
Can someone please help me with this square root problem?
Answer:
c = 14.9
Step-by-step explanation:
use the pythagorean thereom:
a² + b² = c²
a² = 11 × 11 = 121
b² = 10 × 10 = 100
c² = 121 + 100 = 221
now find the square root of 221:
√221 = 14.866...
round to the nearest tenth:
the 6 next to the 8 means round up.
so the hypotenuse is 14.9
Need some help if anyone can
Answer:
Step-by-step explanation:
30 is 10 times as much as
Answer:
3
Step-by-step explanation: 10*3 is equal to 30.
Answer:3
Step-by-step explanation:3 is 10 times as much as 30 which is 3x10=30
does anyone know the answer to ts ?
Answer: C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
level of the sea 3 meter is true and fish lives in water.
What is the process where cells divides and replace old or damaged cells?
chromosomes
mitosis
photosynthesis
cell theory
Answer:
The answer is chromosomes.
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.
Write your answer in your own words, please!
If you don't know the answer, don't type anything.
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
11.
10
10
15. 7
14. 11
Answer:
y= 12% + 3%
y= 0.12 + 0.03
y= 0.12 - 0.03
y= 0.09
Step-by-step explanation:
Mike owns a skate shop. He is preparing the cash flow statement for his first year of operation. He had a beginning cash balance of $4,800, $103,000 in total cash sales, $3,500 for utilities, $2,600 in loan payments, and $5,500 for marketing cost. What is Mike's ending cash balance? Ending Cash Balance = Beginning Cash Cash Inflow – Cash Outflow Hint: Do not forget to include the comma to separate the digits and to type the $ symbol! Example: $32,100.
Mike's ending cash balance of the cash flow statement for his first year of operation is $95,400.
What is cash flow?Cash flow is defined as the report which shows the total inflow and outflow of the business for a particular financial period.
Given
Mike owns a skate shop. He is preparing the cash flow statement for his first year of operation.
He had a beginning cash balance of $4,800, $103,000 in total cash sales, $3,500 for utilities, $2,600 in loan payments, and $5,500 for marketing cost.
Total cash inflow = $4,800 + $103,000 = $107,800
Total cash outflow = $3,500 + $2,600 + $5,500 = $11,600
Then the cash flow will be
[tex]\rm Cash\ flow = \$ 107,000 - 11,600\\\\Cash\ flow = \$ 95,400[/tex]
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can someone help, thanks!
Answer:
16, 10
Step-by-step explanation:
There are 4 quarts in a gallon, so 4 gallons has 16 qt.
There are 2 pints in a quart, so 5 quarts has 10 pt.
Marcel walks due north 50 meters from a tree. Katya walks 20 meters in a straight line away from the same tree but at an angle of 42° from due north, as shown in the diagram below. How far apart are Marcel and Katya to the nearest meter?
The distance from Marcel and Katya is 34 metres
SOH CAH TOA identityFrom the given diagram, we have the following
Hypotenuse = 50mOpposite = xAcute angle given = 42 degrees
According to SOH CAH TOA identity
sin theta = opp/hyp
sin 42 = x/50
x = 50sin42
x = 50(0.6691)
x = 33.46
Hene the distance from Marcel and Katya is 34 metres
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-12x - 7 = show me the steps please
thank you
Answer:
is there a number after the =? there are no like terms to solve this if you don't have that so you would put -12×-7...
What is the range of the absolute value function below?