Answer:
a) Mean = $1,595.83
b) Median = $1,675
c) Mode = $1,950
d) Midrange = $1,475
e)
- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and larger and not all TV sets.
- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and larger, especially their variations from the mean.
Step-by-step explanation:
The data set for selling prices of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine.
1850 1950 1600 1950 1650 1000 1950 1400 1000 1700 1950 1150
a) Mean
The mean is the sum of all the variables in the distribution divided by the number of variables.
Mean = (Σx)/N = (1850+1950+1600+1950+1650+1000+1950+1400+1000+1700+1950+1150)/12
= (19,150/12) = $1,595.83
b) Median
The median is the variable that falls at the middle of the distribution when all the variables are arranged in ascending or descending order.
Arranging this dataset
1000, 1000, 1150, 1400, 1600, 1650, 1700, 1850, 1950, 1950, 1950, 1950
The numbers in the middle of this distribution include the sixth and seventh variables respectively, 1650 and 1700
Median = (1650+1700)/2 = $1,675
c) Mode
The mode is the variable with the highest frequency in the distribution. It is the variable that occurs the most in the distribution.
Evidently, the selling price with the highest frequency or the selling price that occurs the most in this distribution = $1950
d) Midrange
The midrange is given mathematically as
Midrange = [(Highest variable) + (lowest variable)] ÷ 2
Highest variable = 1950
Lowest variable = 1000
Midrange = (1950+1000)/2 = $1475
e)
- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and larger and not all TV sets.
- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and larger, especially their variations from the mean.
Hope this Helps!!!
An oil slick of area 20m^2 tripples in size everyday. Find the time taken for it to exceed 1 hactare in size by firstly representing this information with an appropriate equation.
Answer:
The oil slick area A exhibits exponential growth. Assume time t is measured in days.
dAdt=kA,A0=20,A1=20×3=60
Solve this separable differential equation.
dAdt=kA
∫dAA=∫kdt⟺ln(A)=kt+C
A(t)=A0ekt
Determine the constant k using the initial and first day oil slick area values A0,A1.
A1=A0ek×1 on day one
k=ln(A1A0)=ln(6020)=ln(3)
Substitute the known constant k and A0 into the equation.
A(t)=20eln(3)t
Verify the model A(t) matches the desired oil slick expansion. Does it triple every day?
A(0)=20e0=20
A(1)=20eln(3)1=60=3×20
A(2)=20eln(3)2=180=3×60
A(3)=20eln(3)3=540=3×180
It checks out!
On what day has the oil slick reached 1 hectare? The area is measured in square meters.
1 hectare = 10,000 square meters
10000≤20eln(3)t Solve for t days.
t≥1ln(3)ln(1000020)
t≥5.657 days
Answer
The oil slick reached 1 hectare after about 5+1/2 days.
Step-by-step explanation:
please help me with this
Answer:
your answer is a and d
Step-by-step explanation:
Answer:
A, C
Step-by-step explanation:
2x2+3y=-2 solve for y
Answer:
y=(-2/3)x^2-(2/3)
Step-by-step explanation:
2x^2+3y=-2
3y=-2x^2-2
y=(-2/3)x^2-(2/3)
Answer:
y= -2
Step-by-step explanation:
2x2+3y=-2
4+3y=-2
Subtract 4 from both sides
3y=-6
Divide both sides by 3
y= -2
In my case, x means multiplied by not a variable.
The vertex of the graph of f(x) = (x - 3| + 6 is located at
Answer:
The answer is The vertex of the graph of f(x) = |x – 3| + 6 is located at (3,6)
3
and
6
Step-by-step explanation:
Vertex of graph located at (3,6)
What is vertex?A mathematical object's vertex is a special point where two or more lines or edges typically meet. Angles, polygons, and graphs are the most common examples of vertices.
Given equation f(x) = |x - 3| +6
after simplifying there will be two equations they are
y = x - 3 + 6 = x +3...….(1)
and y = -(x-3) +6
y = 9 - x...…(2)
substitute value of equation 2 in eq. 1
9 - x = x + 3
x = 3 and
substitute value of x in eq. 1
y = x + 3 =3 + 3
y = 6
x = 3, y = 6
Hence the intersecting points of both equation are (3,6)
Learn more about vertex
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georgias gross pay was 35600 this year she is to pay a federal income tax of 16 how much should georgia pay
Answer:
5696
Step-by-step explanation:
i assume you are referring to tax of 16%
16/100 x 35600 = 5696
At Silver Gym, membership is $35 per month, and personal training sessions are $30 each. At Fit Factor,
membership is $85 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms
Answer:
5 sessions each
Step-by-step explanation:
Let the personal training sessions be x.
Then at Silver Gym Sarah would spend:
35 + 30xAnd at Fit Factor she would spend:
85 + 20xSince total costs are same, the amounts will be equal:
35+30x = 85 + 20x30x - 20x = 85 - 3510 x = 50x= 50/10x= 5So Sarah would buy 5 training sessions for each of the gyms.
And she would spend $185 at each.
How many ways can 12 swimmers finish in first, second, and third place
Need help with this question
Answer:
10 pennies 13 nickels
Step-by-step explanation:
pennies are worth 1 cent and nickels are worth 5. 13 times 5 is 65 and 10 times 1 is 10. 65 plus 10 is 75 and 13 is 3 more nickels than 10 pennies.
What is the range of the function represented by the graph?
Answer:
Step-by-step explanation:
answer : C
Find the circumference of the pizza to the nearest whole numbe
7 in.
Answer:
The circumference is 44 in.
Step-by-step explanation:
C = 2πr Use this equation to find the circumference
C = 2π(7) Multiply
C = 14π Multiply
C = 43.98 ≈ 44 in
If this answer is correct, please make me Brainliest!
Brainliest will be given to the CORRECT answer.
Answer: Answer is C
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
6x²-7x-5=6x²-10x +3x-5 =( 6x²+3x)-(10x+5)=3x(2x+1)-5(2x+1)=
=(2x+1)(3x-5)
if x is 3 what is 2x?
Answer:
6
Step-by-step explanation:
2*3=6
Answer:
6
Step-by-step explanation:
You would multiply 2*3 to get six.
Hope this helps.
What times what gives you 1,000,000
sum of exterior angle triangle is 360°
Answer:
True
Step-by-step explanation:
The exterior angles of a triangle are the angles that form a linear pair with the interior angles by extending the sides of a triangle. The sum of the exterior angles of a triangle and any polygon is 360 degrees.
(Google) ( don’t copy and paste for your work, change it up a little!) hope this helped!
Given: circle k(O), m AB = 120° m∠BCA = (x+60°) Find: x
Answer:
x=0
Step-by-step explanation:
<BCA is half of arc BA or half of 120 which is 60.
do the math, and then x has to be 0 degrees
A movie membership costs $10 a month plus an additional $5 for each movie purchased. If you have only budgeted to spend a maximum of $25 this month, how many movies can you purchase?
Answer:
3
Step-by-step explanation:
25-10/3=3
Answer:
3 movies
Step-by-step explanation:
You can pay for 3 movies because
5*3=15 and you have to pay for the membership which is 10 so
10+15=25
Find the solution to the system of equations.
−2x+2y=−4
3x+3y=−18
Answer:
x = -2
y = -4
Explanation:
To find the y-intercept, substitute the x with 0. To find the x-intercept, substitute the y with 0. You can then graph the lines using these intercepts, and see that they intercept at (-2, -14).
35 divided by -5 with steps
Answer:
-7 is the ans
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
a positive divided by a negative is negative
35/-5
-(35/5)
-(7)
-7
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:C and E
Step-by-step explanation:
x^2-6x+40=6x+5
Arrange the equation to equal zero
x^2-6x-6x+40-5=0
x^2-12x+35=0
x^2-7x-5x+35=0
x(x-7)-5(x-7)=0
(x-5)(x-7)=0
x-5=0 or x-7=0
x=5 Or x=7
The reciprocal of the divisor is 4 3 Rewrite the division problem as multiplication ,What is the quotient?
Answer:
Rewrite the division problem as -9/2 (4,3)
the quotient: -6
Step-by-step explanation:
Need math answer please
Answer:
a; (x|x<3)
Step-by-step explanation:
Example on worksheet (subtracting by adding up)
50-29?
29+20=49
49+1=50
20+1=21
50-29=21
My question is where did the 20 come from? can you help me understand this?
Answer:
(49 - 29) + 1 =(50 - 29)
Step-by-step explanation:
The 20 comes from the subtraction of 29 in both sides of the previous step equality. In the following, I transcript the complete procedure and I add the step that you need to understand why 20 appears (in bold numbers):
29+20=49
49+1=50
(49 - 29) + 1 =(50 - 29)
20+1=21
50-29=21
hence, it was only nesseraty to subtract 29
State the domain and range for the function. f(x)= -tan x
Answer:
domain: (-∞, ∞) \ (kπ+π/2 for integers k)range: (-∞, ∞)Step-by-step explanation:
The tangent function is undefined at odd multiples of π/2. It can take on any value.
The domain is all real numbers except odd multiples of π/2.
The range is all real numbers.
Answer: it’s b
Step-by-step explanation:
edge
Twenty words were randomly selected from two textbooks. Each set gives the number of letters in each of the twenty words for that textbook.
Briefly describe how the word lengths compare between textbook 2 and textbook 1.
Briefly describe the variability in the length of words in textbook 2 compared to textbook 1. PLEASE HURRY :(
Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
What is the square root of 7/9?
Answer:
(√7)/3 ≈ 0.881917
Step-by-step explanation:
[tex]\sqrt{\dfrac{7}{9}}=\dfrac{\sqrt{7}}{\sqrt{9}}\\\\=\boxed{\dfrac{\sqrt{7}}{3}\approx 0.881917}[/tex]
what is 1/10+ 3/100 in fraction from
Answer:
0.13
Step-by-step explanation:
1/10 + 3/100 =
10/100 + 3/100 =
13/100
Hope that this helps you and have a great day:)
5x + 8 = ______, when x = 4
Answer:
28
Step-by-step explanation:5 times 4 plus 8 is 28
7/2 divided by 6 help I need a answer
Answer:
7/12 in exact form
Step-by-step explanation:
I think you just multiply the numerator by the resipical of the denominator.
Answer:
7/12
First use the reciprocal of 6
6 is equal to 6/1
The reciprocal is the fraction flipped over so 6/1 becomes 1/6 and vice versa
Multiply the 7/2 with the reciprocal of 6
7/2 x 1/6 = 7/12
Hope this helps
Step-by-step explanation:
Kumar has $10.00 to spend. He decided to buy a candy bar for $1.75 and spend the rest on bags of chips. If each bag of chips costs $2.99, how many bags of chips can kumar buy ?
Answer:
2 bag of chips
Step-by-step explanation:
Total Money Kumar had = $10.00
Money spent on buying candy bar = $1.75
Money left with Kumar after buying candybar can be obtained by subtracting
Money spent on buying candybar from Total Money Kumar had.
Money left with Kumar after buying candybar = $10.00- $1.75 = $8.25.
It is given that rest of money( $8.25 as calculated) is spent on buying bag of chips.
cost of one bag of chips = $2.99
Let no of bag of chips kumar can buy be x .
Therefore total money spent on buying x bag of chips is $2.99 time no. of bag of chips bought
Mathematically it can be expressed as
Total money spent on buying x bag of chips = $2.99 * x = $2.99 x
It is given that he can spent only $8.25 to buy bag of chips.
which means
$2.99 x = $8.25
=> x = 8.25/2.99 = 2.75
Thus he can buy 2.75 bag of chips.
But bag of chips can be only integral number as bag cannot be in fraction .
hence 2 bag of chips can bought which will cost 2*2.99=$ 5.98
Rest of the money will be left which will be 8.25 - 5.98 = $2.27
Answer:
8
Step-by-step explanation:
For a school event 1/6 of the athletic field is reversed for the fifth -grade classes the reserved part of the field is divided equally Among the 4 fifth grade classes in the school what fraction of the whole athletic field is reserved for each fifth class
Answer: 1/24
Step-by-step explanation:
We have that 1/6 of the total field is reserved for the fifth-grade classes.
We have 4 fifth-grade classees.
Then each one of those 4 classes, has (1/4) of the reserved space.
This is:
space for each fifth-grade class = (1/4)*(1/6) = 1/24
So each fifth-grade class has a 1/24 of the total field.
