here is a list of numbers: 8 7 12 7 11 10 7 12
a) find the median
b) the range
c) the mode
Answers
Answer:
Ascending order = 7,7,7,8,10,11,12,12
a) n = 8
= median = (n/2+(n/2+1)/2
= (4th term + 5th term)/2
= 8+10/2
= 9
b) range = 12-7 = 5
c) the mode = 7 (highest occuring value)
The median of the given list of numbers is 9.
The range of the given list of numbers is 5.
The mode of the given list of numbers is 7.
We have,
a) To find the median of a set of numbers, we arrange them in ascending order and determine the middle value.
If there is an odd number of values, the median is the middle number.
If there is an even number of values, the median is the average of the two middle numbers.
Arranging the numbers in ascending order: 7 7 7 8 10 11 12 12
There are eight numbers in this set, so the middle two numbers are 8 and 10.
Taking their average, the median is (8 + 10) / 2 = 9.
b) The range is the difference between the highest and lowest values in the set.
The lowest value is 7, and the highest value is 12.
So the range is 12 - 7 = 5.
c) The mode is the value that appears most frequently in the set.
In the given list, the number 7 appears three times.
Therefore,
The median of the given list of numbers is 9.
The range of the given list of numbers is 5.
The mode of the given list of numbers is 7.
Learn more about the median here:
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Related Questions
100 POINTS
Please HELP I THINK ITS THE ANSWER I CLICKED THAT HAS A BLUE CIRCLE BUT I dont know
Answers
a is equal to three less than twice b
Hope this helps!
Brainliest and a like is much appreciated!
Answer:
Option D
Step-by-step explanation:
Twice b means b is multiplied by 2 or 2b3 less than twice b means it's subtracted or 2b-3.The expression is a=2b-3
The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1; 1) and C (3; -4)
Answers
Answer:
10.25
Step-by-step explanation:
The slope of AC is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -1)/(3 -(-1)) = -5/4
Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = 4/5(x -3) . . . . line CB
When y = 1 (to match the y-value of A), then ...
1 +4 = 4/5(x -3)
5(5/4) = (x -3) . . . . . multiply by 5/4
6.25 +3 = x = 9.25 . . . . add 3
Point B is (9.25, 1).
The length of the hypotenuse is ...
9.25 -(-1) = 10.25
What is the sales tax on a jacket priced at $275 if the sales tax rate is 7%?
Answers
Could someone explain how to solve this please?
Answers
Step-by-step explanation:
the diagaonls of rectangle interscet at x
find the angle that a diagaonl makes a longer side of the rectangle
5. Jolene made 8 pink bracelets using
b beads on each bracelet and 7 blue
bracelets with b beads on each
bracelet. Which expression gives the
total number of beads she used?
Answers
Answer:
so she made 8 so
8*what ever the rest is
then she has b
8b plus what ever
then each one has 7 blue beads on each one
8(b+7)or 8b+56
Hope This Helps!!!
Answer:
Step-by-step explanation:
8b + 7b = Total Beads for the Pink(8) and Blue(7) bracelets
15b = Total beads
A company manufactures and sells personalized stationery. The weekly fixed cost is $3850 and it cost $3.00 to produce each package of stationery. The selling price is $6.50 per package. How many packages of stationery must be produced and sold each week for the company to generate a profit?
The company will generate a profit if;
more than or equal to
more than
less than or equal to
less than
|blank|packages of stationery are produced and sold each week.
(sorry forgot to add that part in last question, hope this one is better)
Answers
Answer:
more than 1100
Step-by-step explanation:
The contribution margin for each package sold is ...
$6.50 -3.00 = $3.50
The number of packages that must be sold to cover fixed costs is ...
3.50n > 3850
n > 1100 . . . . . . . divide by 3.50
The company will generate a profit if more than 1100 packages are produced and sold each week.
_____
Additional comment
If exactly 1100 packages are sold, then costs are covered, but profit is 0. In order for profit to be positive, more than 1100 packages must be sold.
Choose the equation that has m = 5 as the solution.
m + 4 = 20
m – 3 = 8
22 + m = 25
12 = m + 7
HElP ASAP!
Answers
Answer:
12 = m + 7
Step-by-step explanation:
When you plug in 5 to the above equation, you get 12 = 5 + 7. This is a true statement, so the answer is 12 = m + 7. Hope this helps!
( I will give brainliest! ) What is the simplified expression of
4x + 2(3x + 7) - 7x?
Answers
Answer:
[tex]3x + 14[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4x + 2(3x + 7) - 7x[/tex]
[tex]4x + (2 * 3x) + (2 * 7) - 7x[/tex]
[tex]4x + 6x + 14 - 7x[/tex]
Step 2: Combine like terms
[tex]4x + 6x + 14 - 7x[/tex]
[tex](4x + 6x - 7x) + 14[/tex]
[tex]3x + 14[/tex]
Answer: [tex]3x + 14[/tex]
(8 pts)
7. Solve the following system using a matrix and converting the matrix to reduced row
echelon form, without introducing any fractions.
3x - 2y + 5z = -7
x – y + 3z = -5
4x + y + z = 6
Answers
Answer:
{x,y,z} = {-22/13,29/13,6/13}
Write the system as the following augmented matrix:
[tex]\left[ \begin{array}{ccc|c} 3 & -2 & 5 & -7 \\ 1 & -1 & 3 & -5 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]
Swap rows 1 and 2 :
[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 3 & -2 & 5 & -7 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]
Eliminate the x coefficient from the last two rows by add -3 (row 1) to row 2, and -4 (row 1) to row 3 :
[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 0 & 1 & -4 & 8 \\ 0 & 5 & -11 & 26 \end{array} \right][/tex]
Eliminate the y coefficient from the first and last rows by adding row 2 to row 1, and -5 (row 2) to row 3 :
[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 1 & -4 & 8 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Eliminate the z coefficient from the second row by adding 4 (row 3) to 9 (row 2) :
[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Eliminate the z coefficient from the first row by adding row 3 to 9 (row 1) :
[tex]\left[ \begin{array}{ccc|c} 9 & 0 & 0 & 13 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Then the solution to the system is (x, y, z) such that
9x = 13 and 9y = 16 and 9z = -14
or
x = 13/9 and y = 16/9 and z = -14/9
Mary has 18 ounces of apple chips she evenly portions the apple chips between four containers how many ounces of apple chips are in one container
Answers
Answer:
4.5 ounces
Step-by-step explanation:
18/4=4.5
4.5•4=18
As Earth circulates the sun, it travels at a
speed of 20 miles per second. Convert
this speed to kilometers per second. At
this speed, how many kilometers will
Earth travel in 8 seconds? Assume that 1
mile is equal to 1.6 kilometers.
Answers
So it travels 32 kilometres per second
For the second part, if the earth travels 32 kilometres in 1 second, then it will travel 32 x 8 kilometres in 8 seconds, which is equal to 256 km
URGENNTTT PLEASE ILL GIVE 50
Take Triangle ABC, A(2,-1), B(1,4) and C(-2,2). Do
the series of mappings to find A'B'C'.
First translate
it 3 units to the right and 2 units up, next reflect
about the x-axis, and finally rotate 180 degrees.
Answers
Answer:
(3-2)
Step-by-step explanation:
Set up an algebraic equation then solve. 1. When 3 is subtracted from the sum of a number and 10 the result is 2. The sum of 3 times a number and 12 is equal to 3. Find the number. 3. Three times the sum of a number and 6 is equal to 5 times the number. Find the number. 4. The width of a rectangle is 4 inches less than its length. If the perimeter measures 72 inches, find the dimensions of the rectangle. 5. The perimeter of a square is 48 inches. Find the length of each 2. Find the number. side.
Answers
Answer:
( x+10)-3= 2
x+10= 5
x= -5
3x+12= 3
3x= -9
x= -3
3( x+6 )= 5x
3x+ 18 = 5x
2x= 18
x =9
w= l-4 y= x-4
perimeter= 2l+ 2w
2(2x) + 2( x-4)
4x+2x-8 = 72
6x= 72+8
6x= 80
x= 13.3 width = 9.3 length = 13.3
4x=48
x = 12
each 2= 24
Last week, the price of oranges at the farmers market was $1.75 per pound. This week, the price has decreased by 15%. What is the price of
oranges this week?
Answers
Answer:
11.6 (6 is repeating)
Step-by-step explanation:
1.75 divided by 15% of 75
6+√27/4-√3 can be written in the form r +s√3/13
where are both r and s integers
what are the values of r and s
Answers
[tex]r = \left(\dfrac{33}{13}\right)[/tex]
[tex]s = \left(\dfrac{10}{13}\right)[/tex]
Step-by-step explanation:
Let's multiply and divide the given fraction by the conjugate of the denominator:
[tex]\dfrac{6+\sqrt{27}}{4-\sqrt{3}}×\dfrac{4+\sqrt{3}}{4+\sqrt{3}}[/tex]
[tex]\;\;\;\;= \dfrac{24 + 6\sqrt{3} + 4\sqrt{3} + \sqrt{27}\sqrt{3}}{13}[/tex]
[tex]\;\;\;\;=\frac{1}{13}(24 + 10\sqrt{3} + \sqrt{81})[/tex]
[tex]\;\;\;\;=\frac{1}{13}(33 + 10\sqrt{3})[/tex]
[tex]\;\;\;\;=\left(\dfrac{33}{13}\right) + \left(\dfrac{10}{13}\right)\dfrac{\sqrt{3}}{13}[/tex]
We can see here that
[tex]r = \left(\dfrac{33}{13}\right)[/tex]
[tex]s = \left(\dfrac{10}{13}\right)[/tex]
The value of the variable 'r' and 's' will be 33 and 18, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The two equations are given below.
(6 + √27) / (4 - √3) and (r + s√3) / 13
Simplify the expression (6 + √27) / (4 - √3), then we have
[tex]\rightarrow \dfrac{6 + \sqrt{27}} { 4 - \sqrt3} \times \dfrac{4 + \sqrt3} { 4 + \sqrt3} \\\\[/tex]
⇒ [(6 + 3√3)(4 + √3)] / (4² - 3)
⇒ [(24 + 6√3 + 12√3 + 9)] / (16 - 3)
⇒ (33 + 18√3) / 13
Compare the expression (33 + 18√3) / 13 with (r + s√3) / 13, then the value of r and s will be given as,
r = 33
s = 18
The value of the variable 'r' and 's' will be 33 and 18, respectively.
More about the Algebra link is given below.
https://brainly.com/question/953809
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The table shows the final score of four golfers.
Golfer Final Score
Joe
-2
Allen
-5
Tara
-8
Violet
-4
Whose score was the lowest? Whose was the highest? Select your answers from the drop-down lists.
score was the lowest.
score was the highest.
Students, draw anywhere on this slide!
PER Deck eractive Skoe
Answers
Lowest is Tara because it the most far from 0
Answer:
Joe score was the highest. Tara score was the lowest.
Step-by-step explanation:
Given the formula A= P(1+r/n)nt you are investing $2,150 in savings account with an
interest rate of 3.315% compounded monthly. How much will you investment be worth after 15 years?
Answers
Answer:
3532.59341
Step-by-step explanation:
P= 2150
r= 3.315%
n= 12
t= 15
What is the answer to y=-2(-3/2)-9
Answers
Answer:
-6
Step-by-step explanation:
y = -2 x -3/2 - 9
3 - 9 = -6
Hey there!
y= -2 (-3/2) - 9
-2(-3/2) = [3]
y = 3 - 9
y = -6
Therefore, your answer is: y = -6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Four times a number, minus 4, is equal to three times the number, plus 6. Find the number
Answers
Answer:
42
Step-by-step explanation:
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Cassie wants to purchase a pair of binoculars that is on sale for $155.75. The sales tax rate in his county is 7%.
Calculate the amount of sales tax Cassie will pay on the purchase. Round to the nearest cent if necessary.
sales tax: $
Listen to the complete question
Part B
Fill in the blank question.
How much will Cassie pay in all for the pair of binoculars after sales tax is included? Round to the nearest cent if necessary.
total cost: $
Answers
Answer:
$10.12
Step-by-step explanation:
Step one:
given data
we are told that the cost of binoculars is $155.75
and also the sales tax is 7%
Step two:
We want to first solve for the sales tax which is 7% of $155.75
=7/100* 155.75
=0.070*155.75
=10.12
Cassie will pay a tax of $10.12
Also Cassie will pay a total amount of
= 155.75+10.12
=$165.87
The population of certain city is projected to grow at the rate of r(t) = 400 1+ people/ 24 +7 year in interval (Osts 5) t years from now. The current population is 60 000. What will be the population 5 years from now?
Answers
The population 5 years from now would be 60482
The population growth rate is given as:
[tex]r(t) = 400(1 + \frac{2t}{24 + t^2})[/tex]
The value of t, 5 years from now is represented as:
t = 5
Substitute 5 for t in the function r(t).
So, we have:
[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 5^2})[/tex]
Evaluate the exponent
[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 25})[/tex]
Evaluate the products
[tex]r(5) = 400(1 + \frac{10}{24 + 25})[/tex]
So, we have:
[tex]r(5) = 400(1 + \frac{10}{49})[/tex]
Divide 10 by 49
[tex]r(5) = 400(1 + 0.204)[/tex]
This gives
[tex]r(5) = 400(1.204)[/tex]
Expand
[tex]r(5) = 481.6[/tex]
The current population is given as 60000.
So, the population (P) 5 years from now would be
[tex]P = 60000 + 481.6[/tex]
[tex]P = 60481.6[/tex]
Approximate
[tex]P = 60482[/tex]
Hence, the population (P) 5 years from now would be 60482
Read more about population functions at:
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the price of an article is Marked 25% above the cost price .if it is solid the profit of Rs.500 after allowing 15% discount .what will be it's selling price
Answers
Answer:
Rs 8500
Step-by-step explanation:
For a cost price of c, the marked price is ...
marked = c +25%·c = 1.25c
After the 15% discount, the sale price will be ...
s = marked -15%·marked = 0.85·marked = (0.85)(1.25c) = 1.0625c
The profit will be the difference between the sale price s and the cost c:
p = s -c
500 = (1.0625c) -c = 0.0625c
Then the cost is ...
500/0.0625 = c = 8000
and the sale price is ...
s = c +p = 8000 +500 = 8500 . . . rupees
The selling price will be Rs 8500.
Which quantity is proportional to 40/8?
Answers
Answer:
5/1
10/2
15/3
20/4
25/5
30/6
35/7
Step-by-step explanation:
Suppose theta is an angle in the standard position whose terminal side is in Quadrant II and tan0= -sqrt3 Find the exact values of the remaining five trigonometric functions of theta
Answers
The exact values of the remaining five trigonometric functions of theta are
sinθ = √3/2cosecθ = 2/√3cosθ = -1/2secθ = -2 cotθ = -1/√3Since tanθ = -√3.
The remaining five trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.
The next trigonometric function of θ is cotθ.
cotθ = 1/tanθ
= 1/-√3
= -1/√3.
Also, tan²θ + 1 = sec²θ
Substituting tanθ = -√3 into the equation, we have
(-√3)² + 1 = sec²θ
3 + 1 = sec²θ
sec²θ = 4
secθ = ±√4
secθ = ±2
Since θ is in the quadrant II,
secθ = -2
Also, cosθ = 1/secθ
= 1/-2
= -1/2
Also, cot²θ + 1 = cosec²θ
Substituting cotθ = -1/√3 into the equation, we have
(-1/√3)² + 1 = cosec²θ
1/3 + 1 = cosec²θ
cosec²θ = 4/3
cosecθ = ±√(4/3)
cosecθ = ±2/√3
Since θ is in the quadrant II,
cosecθ = +2/√3
Also, sinθ = 1/cosecθ
= 1/2/√3
= √3/2
So, the exact values of the remaining five trigonometric functions of theta are
sinθ = √3/2cosecθ = 2/√3 cosθ = -1/2secθ = -2cotθ = -1/√3.Learn more about trigonometric functions here:
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If you had 10 questions on a test and you got 3 wrong what percentage is that?
Answers
Answer:
70% right, 30% wrong
Step-by-step explanation:
3 is 30% of 10
Madie drove 200 miles at a speed of 50 miles per hour. Which equation will help you find the number of hours she was driving?
StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction
StartFraction 50 miles Over 1 hour EndFraction = StartFraction question mark hours Over 200 miles EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction 50 miles Over question mark hours EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction question mark hours Over 50 miles EndFraction
Answers
she drove for 4 hours
Answer:
the person above me is wrong its not an option for me ;-;
Step-by-step explanation:
the number of Significant Figures in 13410000 *
Answers
Answer:
hhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhhhhh
Answer:
4
Step-by-step explanation:
13410000
Sig Figs4
13410000
Decimals0
Scientific Notation1.341 × 107
E-Notation1.341e+7
Words thirteen million four hundred ten thousand
Order each set of rational numbers from least to greatest 2.1,-0.3,0.261,-2.5
Answers
Answer:
i think -2.5 -0.3 0.261 2.1
LAST ATTEMPT MARKING AS BRAINLIEST!! (Pythagorean theorem )
Answers
Your welcome
Change 3/4 to a decimal! Please explain step by step to get marked as brainliest
Answers
Answer:
The answer is 0.75
Step-by-step explanation:
The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.
Another method without a calculator is:
Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
Step 2: Multiply both top and bottom by that number.
Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)
Example:
Convert 3/4 to a Decimal:
Step 1: We can multiply 4 by 25 to become 100
Step 2: Multiply top and bottom by 25. It gives us 75/100.
Step 3: Write down 75 with the decimal point 2 spaces from the right (because 100 has 2 zeros);
Answer = 0.75