Answer:
After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04
Step-by-step explanation:
Given the data:
3 5 6 7 7 8 8 8 9 9 9 10 102
Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102
The interquartile range (IQR) for the data:
IQR = Q3 - Q1
Q3 = 3/4(n + 1) th term.
n = sample size = 13
Q3 = 3/4(14) = 10.5th term
Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9
Q1 = 1/4(14) = 3.5th term
Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5
IQR = Q3 - Q1 = 9 - 6.5 = 2.5
THE STANDARD DEVIATION :
Sqrt[Σ(X - m)²/n-1]
Using calculator :
Standard deviation = 26.3
Correcting error in the data:
3 5 6 7 7 8 8 8 9 9 9 10 10.2
Q3 = 3/4(n + 1) th term.
n = sample size = 13
Q3 = 3/4(14) = 10.5th term
Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9
Q1 = 1/4(14) = 3.5th term
Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5
IQR = Q3 - Q1 = 9 - 6.5 = 2.5
THE STANDARD DEVIATION :
Sqrt[Σ(X - m)²/n-1]
Using calculator :
Standard deviation = 2.04
After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04
Which table of values represents a linear function?
Answer:
B is the table value which represents the l
solve x^2-3x+1=0 using completing the square method
This won't be the easiest way to do this problem but as your teacher requires it I will do it that way. But at the end I will show another way to do it with the quadratic formula.
First complete the square
x^2-3x+1=0
(x^2-3x+9/4)+1=9/4
(x-3/2)^2=9/4-1
(x-3/2)^2=5/4
x-3/2=±[tex]\sqrt{\frac{5}{4}[/tex]
x= 3/2±[tex]\frac{\sqrt5}{2}[/tex]
Done!
*Now this next way is not the way your teacher wants you to do it but I personally think its easier.
Just use the quadratic formula x=[-b±sqrt(b^2-4ac)]/2
x=[3±sqrt(9-4*1*1)]/2
x=(3±sqrt5)/2
x=3/2±sqrt5/2
We get the same answer but I think this way is easier. Now if your teacher ask for the top way just do the top way don't do the bottom because you will lose points, its just a shorter way to do things. Now I hope this helped and any additional questions about this just ask me in the comments.
Choose the equation rhat represents the fraction 1/8. 7÷8, 1÷8, 8÷7, 8÷1
Answer:
7÷8 and 8÷7
Step-by-step explanation:
A bag contains 5 red and 3 bluearble. Two marbles are drawn simultaneously from the bag. DETERMINE the probability that at least one is red.
Answer:
5/8
Step-by-step explanation:
I’ll give brainliest but I just need help
What is the x-intercept of the graph of 2x - 4y = 7
Answer:
y=1/2x-7/4
Step-by-step explanation:
(3.5, 0)
write the algebraic expression: The difference of 5 times a number and 11 is 17
Answer:
5x - 11 = 17
Step-by-step explanation:
Answer:
5x - 11 = 17
Step-by-step explanation:
Five times a number is 5x when the number is unknown.
The difference between that number and 11 is (difference means subtract)
5x - 11
All of which = 17
5x - 11 = 17
You are not asked to solve it. Just write it.
Translate the following, "Three times a number is at least that number plus 1 ""
Answer:
3x ≥ x+1
Step-by-step explanation:
Let the number be x.
ATQ,
Three times of a number = 3x
At least means ≥
So,
3x ≥ x+1
So, the required inequality is 3x ≥ x+1.
Can I have some help with this? Construct a linear function that has a slope of -3 and passes through the point (-2,3).
Answer:
-3x-3
Step-by-step explanation:
We want our equation to look like this
y=mx+b
we know that m= -3 so we just need to find b
We can start by plugging in the ordered coordinates into our equation
3=(-3)(-2)+b
Solve for b
3=6+b
b= -3
Which means our final equation is
y= -3x-3
Who was the first prince of Russia to be crowned as a czar
Your building plan for your restaurant includes one men's and women's restroom. The city inspector lets you kno that you must have at least 400 square feet per bathroom. If your building is a total 4,000 square feet, how many square feet are left for the development other nonbathroom areas?
Answer: 3200 ft^2
Step-by-step explanation:
You have a total area of 4,000 ft^2.
In your plan, you will make two bathrooms (one men's restroom and one women's restroom)
We know that each one of them needs 400ft^2, then the total area needed is two times 400ft^2, or:
2*400ft^2 = 800ft^2
If we subtract this to the total area, we get:
4000ft^2 - 800ft^2 = 3200 ft^2
That is the square feet left for the development of other nonbathroom areas.
If the square root of 16 = x, then x2 =
Answer:
8
Step-by-step explanation:
16=x
16 square root is 4
16=4
x2
(4)2= 8
Answer:
x2 or 2x=8
Step-by-step explanation:
the square root of 16 is 4
since the other term is 2*x you plug-in numbers and get 2*4=8
Evaluate the expression for the given value of x.
0.2x + 5.1 for x = -3
The solution is
Answer:
x = 4.5
Step-by-step explanation:
0.2(-3) + 5.1 = -0.6 + 5.1 = 4.5
A truck travels from a factory to a gas station in 2 minutes. It stops at the gas station for 5 minutes. The truck then returns to the factory in 3 minutes. Which graph best represents the distance in milies of the truck from the factory after a certain
amount of time. x. in minutes?
Answer:
x=16
Step-by-step explanation:
Expand and simply x(x-3)(x+5)
Answer:
x³ + 2x² -15x
Step-by-step explanation:
Hope it helps
x intercept of y = -3x + 3
Answer:
(1,0)
Step-by-step explanation:
Jayden is driving 390 miles to visit the Gateway Arch in St. Louis. He drives at an average rate of 65 miles per hour. Explain how you can find the amount of time it will take her to get to the arch
Using the relation between velocity, distance and time, it is found that it will take her 6 hours to get to the arch.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
For this problem, we have that:
She drives 390 miles, hence d = 390.Her velocity is of 65 miles per hour, hence v = 65.We can solve the equation for t to find the time, hence:
65 = 390/t
65t = 390
t = 390/65
t = 6.
It will take her 6 hours to get to the arch.
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Find each percent. 5 is what percent of 15?
Answer:
0.75
Step-by-step explanation:
this is what popped up in my calculator so i hope this helps you. :)
Select all the logarithmic expressions that have been evaluated correctly, to the nearest thousandth.
The logarithmic expressions are log6 with base 3 and log5 with base 4.
What is logarithmic function?
It is the inverse of the exponential functions. It is equal to y=㏒x.
How to solve logarithmic functions?
A) log 8 with base 3=log8/log3=0.903089987/0.4771212547=1.8927
B) log 6 with base 3=log6/log3= 0.77815125038/0.4771212547=1.6309
C) log 5 with base 4=log5/log4=0.69897000433/0.60205999132=1.1609
D) log 32 with base 2=log32/log2=1.50514997832/0.30102999566=5
E) log 7 with base 4=log 7/ log 4=
=0.84509804001/0.60205999132=1.403
Hence the required logarithmic expressions be on B and C.
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150 copies will cost $15.00. How many copies can be made for $6.00?
Answer:
60 copies
Step-by-step explanation:
$15/150 = 0.1 each copy costs 1 cent
$6/$0.1 = 60 copies
Answer:
60 copies
Step-by-step explanation:
After using Unitary Method, We find that one copy costs 0.1 dollar. So divide 6.00 dollars by 0.1 and we find 60
For checking, we can multiply 60 by 0.1 and we get the same answer
Factor to write an equivalent expression: 5a - 10
10. The perimeter of Lola's rectangular
backyard is 76 feet. If the width of the
yard is 25 feet, what is the length of
the yard?
What is the answer
Yesterday Ali caught 12 bugs. Today he caught 17 bugs. How many fewer bugs did Ali catch yesterday than today?
Answer:
5 bugs
Step-by-step explanation:
You would use subtraction to find the difference: 17 - 12 = 5
What’s the closets fraction to 1/2
Answer:
1/2 2/4 3/6
Step-by-step explanation:
Answer:
7/13
Step-by-step explanation:
if 1/26 is closest to zero then 7/13 is closer to 1/2
An item that originally cost $12 was on clearance Alford $3.60 what is the percentage of the discount
Answer:
she has hdu 7match the inequalities with the graphs
Rewrite the fraction 63/70 in simplest form
Answer:
9/10
Step-by-step explanation:
If you divide both the numerator and the denominator by 7 you get 9/10 and you cannot simplify this fraction any further. (Double check to make sure I'm correct)
you buy 4 pounds of beef at a price of $5.89 per pound. select the two expressions that you could use to determine the total cost you paid.
Answer: plus and times
Step-by-step explanation: You can do 5.89x 4 or
5.89+5.89+5.89+another 5.89 so thoes are your two answers
PLEASE HELP ME, CAN SOMEONE HELP.
Answer:
Step-by-step explanation:
Jupiter lighthouse , r=18 miles, A= 2*3.14*r^2
A Jupiter=2*3.14*18*18=2034.72 mi^2
Hillsborough light house, r= 28 miles,
A Hillsb=2*3.14*28*28=4923.52 mi^2
the difference is
4923.52-2034.72=2,888.80
Lesson 7 Extra Practice Equivalent Expressions Simplify each expression. 1. 5x + 3x 8x 2. 2x + x 3x 3. 6x + 8x 14x 4. 9x + 3x 12x 5. 7x + 4x 11x 6. 10x + x 11x 7. 3x + 2 + 4x 7x + 2 8. 15x + 3 + x 16x + 3 9. 2x + 5 + 6x 8x + 5 10. 7x + 2x + 4 9x + 42 11. 18x + 3x + 9 21x + 9 12. 6x + x + 8 7x + 8 Factor each expression. 13. 21x + 15y 3(7x + 5y) 14. 2x + 14y 2(x + 7y) 15. 15x + 10y 5(3x + 2y) 16. 12x + 18y 6(2x + 3y) 17. 10x + 30y 10(x + 3y) 18. 6x + 14y 2(3x + 7y) 19. 8x + 16y 8(x + 2y) 20. 45x + 27y 9(5x + 3y) 21. 54x + 48y
Answer:
uhh which 1
Step-by-step explanation:
The expressions are simplified and factored in as below.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The expressions are simplified as,
1.
5x + 3x
= 8x
2.
2x + x
= 3x
3.
6x + 8x
= 14x
4.
9x + 3x
= 12x
5.
7x + 4x
= 11x
6.
10x + x
= 11x
7.
3x + 2 + 4x
= 7x + 2
8.
15x + 3 + x
= 16x + 3
9.
2x + 5 + 6x
= 8x + 5
10.
7x + 2x + 4
= 9x + 42
11.
18x + 3x + 9
= 21x + 9
12.
6x + x + 8
= 7x + 8
13.
21x + 15y
= 3(7x + 5y)
14.
2x + 14y
= 2(x + 7y)
15.
15x + 10y
= 5(3x + 2y)
16.
12x + 18y
= 6(2x + 3y)
17.
10x + 30y
= 10(x + 3y)
18.
6x + 14y
= 2(3x + 7y)
19.
8x + 16y
= 8(x + 2y)
20.
45x + 27y
= 9(5x + 3y)
21.
54x + 48y
= 3 (18x + 16y)
Thus,
The expressions are simplified and factored in as above.
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Type an equation of a standard parabola that is shifted right 3 units. Helppp asap
Answer:
y=(x+5)2 hope this helped!!! :D
Step-by-step explanation: