Answer:
Range = 32 ; IQR = 13 ; Variance = 92.75 ; Standard deviation = 9.63
Step-by-step explanation:
Given the data:
28, 42, 58, 48, 45, 55, 60, 49, 50
Reorderd data: 28, 42, 45, 48, 49, 50, 55, 58, 60
The range: maximum - minimum
Range = 60 - 28 = 32
Interquartile range (IQR) : Q3 - Q1
Q3 = 3/4(n+1) th term. ; n = sample size
Q1 = 1/4(n+1)th term.
Using calculator :
Q3 = 56.5 ; Q1 = 43.5
IQR = 56.5 - 43.5 = 13
The variance :
Σ(X - m)^2 / n-1
m = Σx / n
Mean, m = 435 / 9 = 48.33
Variance :
[(28-48.33)^2 + (42-48.33)^2 + (45-48.33)^2 + (48-48.33)^2 + (49-48.33)^2 + (50-48.33)^2 + (55-48.33)^2 + (58-48.33)^2 + (60-48.33)^2] / 8
= 742.0001 / 8
= 92.75
Standard deviation = sqrt(Variance):
Sqrt(92.75) = 9.63
C.)
Sample mean are very close with a slightly greater Variability in the air quality of Anaheim over Pomona
HELP ITS URGENT!!! May someone PLEASEE help me?
Answer:
79
Step-by-step explanation:
angle c and angle a are congruent
angle d and angle b are congruent
Answer:
Angle a is 79 degrees
Step-by-step explanation:
I'm currently in alg 2 so i'm out of practice but there's some theorem that states that the opposite angles are equal to each other.
What is this fraction shown above?
For f(x) =8x+11, find f(x) when x = 4.
Answer:
43
Step-by-step explanation:
Plug x in.
8(4)+11=32+11=43
Hope I helped!
Answer:
43
Step-by-step explanation:
f(x) = 8x + 11
x = 4
f(4) = 8(4) + 11
f(4) = 32 + 11
f(4) = 43
A triangle has side lengths of (6p - 7) centimeters, ('7p - 2) centimeters, and
(69 - 9) centimeters.
Answer: 10
Step-by-st
Please help with this it’s due today
Answer:
10/8
Step-by-step explanation:
2*5=10
1*8=8
you're welcome
Select the algebraic expression for the word expression. 34 more than the product of 5 and y
34 x 5 + y
34 x 5 + y
34 + 5 + y
34 + 5 + y
(34 + y) x 5
Answer:
Step-by-step explanation:
None of the answers are correct.
34+5y
PLS HELP
What is the length, in feet, of AD in the isosceles trapezoid ABCD?
15 ft
c
1410
5 ft
A
D
F
Note: Figure is not drawn to scale.
O 3 feet
O 10 feet
O 141 feet
O 21 feet
Answer:
21 feet
Explanation:
Using pythagorean theorem to find the length of the added length of the bottom.
A^2+B^2=C^2 or 4^2+B^2=5^2 or 16+B^2=25
25-16=9 so B^2 is 9 and the square root of that is 3 so B is 3. Then you add 15+3+3 to get 21.
Please help!
Consider matrices A, B, and C.
Which matrix represents (A-B)-C?
Answer:
B.) I cant insert a 2x2 matric but the [5 7
7 4] matrix is correct
Step-by-step explanation:
I got a 5/5 on the test so I know that B is the correct answer
The matrix which represents (A-B)-C will be the matrix in option (B).
What is the matrix?matrix, a collection of numbers lined up in rows and columns to produce a rectangular array. The elements of the matrix, also known as the entry, are the numerals.
In another word, a matrix is a set of variables that are arranged in such a good way that we can create algebraic equation from that.
In computer graphics, where they have been used to describe picture transformations and other alterations, matrices have vital applications as well in many sectors.
Given that the matrix
A - B = [first raw 3 ,1 in second raw 2 ,0]
Now (A - B) - C = [ first raw 5 ,7 in second raw 7 , 4]
Hence, the correct option is (B).
For more about matrices
https://brainly.com/question/11367104
#SPJ5
Eliane bought 3/4 lb. of pears for $2.25 per pound. What did Eliane spend on pears per pound?
Answer:
$3 per pound
Step-by-step explanation:
2.25 / .75 = x / 1
.75x = 2.25
x = 3
Which characteristic is related to kenitic energy but not potential energy? A) An objects height B) An objects speed C) An objects shape D) An objects mass
Answer:
b. an objects speed
Step-by-step explanation:
because the kinetic energy is energy that is produce by movement but potential is not produce by movement
What is the equivalent expression of . (1/4)x - (1/2)
Answer:
1/4x + (-1/2) hope this helped!
Step-by-step explanation:
In order to pay for his expenses, Chuck needs to earn $2400 at least every
month. When Chuck works overtime, he earns $3000 per month. If the
variable e stands for the amount of money Chuck has left after paying for his
expenses every month, which of the following choices is the most reasonable
value for e when he works overtime?
A. $120
B. $1200
C. $600
D. $5400
Answer:
5400
Step-by-step explanation:
2400+3000
Jon borrows $8.75 from his friends to pay
for snacks, and $13.50 from his sister to go
to the movies. How much money does he
need to repay?
who is right and wrong and why?
Answer:
BMX Ben is correct and Pizza Pete is wrong
Step-by-step explanation:
For Both equations, we must isolate the x, or move everything to one side. So you'd have to add 25 because you have a negative 25 and a negative number plus a positive version of itself equals 0
x-25=7
+25=25
__________
x=32
The second one is incorrect because you are subtracting negative 25 from a 25, which is -50
PLEASE HELP PLEASE!! I ATTACHED A PICTURE
Answer:
It's option 3
Step-by-step explanation:
Answer:
I think it is option 3 hopes that helps
What is the value of y = 7 – 2c when x =4?
When x = 4, y =?
Factor completely. Be sure to factor out the GCF when necessary. Select "Prime" if the polynomial cannot be factored.
Answer:
There is no problem to factor.
Step-by-step explanation:
What is the area of a triangle with a base of 7 mm and a height of 10 mm
Answer:
A≈3.5×10-5m²
Step-by-step explanation:
The requried area of the given triangle is 35-millimeter square.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
What is an area of a triangle?The area of the triangle is given as half the product of the height and base of the given triangle.
Area of the triangle = 1/ 2 base × height
here,
in the given question, height = 10 mm and base = 7 mm
Area of the triangle = 1/ 2 10 × 7
Area of the triangle = 35 mm²
Thus, the requried area of the given triangle is 35-millimeter square.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ2
The most common IQ tests have a standardized mean of 100 and a standard deviation of 15. Based on this information, use the empirical rule to answer the following question: If approximately 348 prospective college students are tested for their IQ, approximately how many will fall within one standard deviation of the mean
Answer:
Step-by-step explanation:
Empirical Rule establishes that 68% of the population will fall in the interval μ₀ ± σ Then
348*0,68 = 237
237 students will be between ( 100-15 ; 100+15) That is
I = ( 85 ; 115 )
-61.2 × 385 pls aswer i nead it urgent
Answer:
The answer is -23562
Step-by-step explanation:
Use long multiplication to evaluate.
Hoped this helped!
In 2016, 5,200 parking permits were issued in a city. The number of parking permits increases by 5% every year. Let y represent the number of parking permits issued x years since 2016.
Which type of sequence does the situation represent?
A.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.5.
B.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.05.
C.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.5.
D.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
What is geometric series?A geometric series is a series in which the division of any consecutive two terms will be the same.
here, we have,
to determine the situation:
The given parameters are:
Initial = 5200
Rate = 5%
Because the population by 5% every year, then the situation is a geometric sequence.
The common ratio is then calculated as:
Ratio = 1 + Rate
This gives
Ratio = 1 + 5%
Evaluate
Ratio = 1.05
Hence, the situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
Read more about geometric sequence at:
brainly.com/question/11266123
#SPJ7
Ethan sold 2/3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1/4 gallons. Who sold more lemonade, Ethan or Kayla? How much more ?
Rewrite 1 1/4 as an improper fraction:
1 1/4 = 5/4 gallons.
Rewrite both fractions with a common denominator:
2/3 = 8/12
5/4 = 15/12
Subtract the amount Ethan sold from total:
15/12 - 8/12 = 7/12
Kayla sold 7/12
This means Ethan sold more, because 8/12 is more than 7/12
3. Margo has drawn a parallelogram and is giving you clues about it for a guessing game. If her
first clue is that the parallelogram has 4 congruent sides but does not have congruent
diagonals, which parallelogram could Margo have drawn?
A Trapezoid
B. Rhombus
C Rectangle
D. Square
Answer:
B) Rhombus
Step-by-step explanation:
4 congruent sides is either a square or a rhombus
a square has congruent diagonals but a rhombus does not
The parallelogram is a Rhombus Margo has drawn.
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
How to solve?
As we know,
The diagonal lengths of a square are of the same measure. The diagonal lengths of a rhombus are of different measures.
So, the figure will be a Rhombus.
Learn more about Parallelogram:
https://brainly.com/question/970600
#SPJ2
8x = 63.2
How do I solve for x
Answer:
7.9
Step-by-step explanation:
8x=63.2
Simply divide 63.2 by 8 to get an answer of 7.9 :)
Factor
4y(3x+2)-2(3x+2)
Answer:
[tex]2(3x+2)(2y-1)[/tex]
Step-by-step explanation:
Hope I helped!
Answer:
(4y − 2)(3x + 2)
Step-by-step explanation:
4y(3x + 2) − 2(3x + 2) = (3x + 2)[4y − 2]
If ZFRO = 60 and RFO = 86 Find the measure of 2 FOG
R Help pleaseee
Answer:
149°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle
<FRO + <RFO = <FOG
60° + 86 = 146
Use the graph to write a linear function that relates y to x.
The linear function is y=?
Answer:
identify the value that is intercepting y-axis !!
Step-by-step explanation:
in this case it is 1
suppose that ln2=a and ln3=b. use properties of logarithms to write the logarithm in terms of a and b.
question: ln 7 square root of 6 =?
Answer:
1/5(a+b)
Step-by-step explanation:
Express 90 as a fraction of 95.
Give your answer in its simplest form
Answer:
18/19
Step-by-step explanation:
90/95
Simplify
18/19
-2 - 5r = 18
help mee
Answer:
r = -4
Step-by-step explanation:
-2 - 5r = 18
+2 +2
––––––––
-5r = 20
/5 /5
––––––
-r = 4
/-1 /-1
–––––
r = -4