Answer:
lower quartile: 80.5 upper quartile: 93
Step-by-step explanation:
Fro the above question, we are given the following values for the number of cars 8 dealerships sold.
GMC = 84
Chevrolet = 81
Nissan = 92
Toyota = 92
Ford = 95
Honda = 94
Hyundai = 80
Acura = 72
We are told to find the lower and upper quartile of this set of data.
The lower quartile of a data set can be defined as the median( middle number) of the lower half of the data set. The lower quartile is also known or referred to as (Q1).
The lower quartile is also calculated using the formula
Q1 = 1/4(n + 1) th value
Where n is the number of values in the the date set.
The upper quartile of a data set can be defined as the median( middle number) of the upper half of the data set. The lower quartile is also known or referred to as (Q3).
The upper quartile is also calculated using the formula
Q3 = 3/4(n + 1) th value
Where n is the number of values in the the date set.
Step 1
Arrange the data set from the lowest to the highest number
72, 80, 81, 84, 92, 92, 94, 95
Step 2
Calculate the lower Quartile
Q1 = 1/4(n + 1)th value
n = number of values in the data set = 8 values
Q1 = 1/4(8 + 1)th value
Q1 = 1/4(9)th value
Q1 = 2.25th value
This means it is between the 2nd and 3rd value
2nd value = 80
3rd value = 81
(80 + 81) ÷ 2 = 161 ÷ 2 = 80.5
The Lower Quartile (Q1) = 80.5
Step 3
Calculate the lower Quartile
Q3 = 3/4(n + 1)th value
n = number of values in the data set = 8 values
Q3 = 3/4(8 + 1)th value
Q3 = 3/4(9)th value
Q3 = (27/4)th value
Q3 = 6.75th value
This means it is between the 6th and 7th value
6th value = 92
7th value = 94
(92 + 94) ÷ 2 = 186 ÷ 2 = 93
The Upper Quartile (Q3) = 93
Therefore, the Lower Quartile: 80.5 and Upper Quartile: 93
Answer:
A
Step-by-step explanation:
good luck on the test ,have a nice day :)
edg 2022
in a right triangle, what is the 3rd angle measure if an angle is 25
Answer:
65
Step-by-step explanation:
The sum of the angles in a triangle is 180. In a right triangle, there is one 90 degree angle. If the second angle is 25, and 90+25+the last angle must add up to 180, simple math can find the value of the last angle.
180-90-25=65
Answer:
65
Step-by-step explanation:
right angle=90
[tex] {90}^{0} [/tex]
therefore 90-25=the third angle 65
jessica put 4 tables together for the Pie day sale. Each table is 42 inches long. What is the total length of the tables expressed in feet and inches
Answer:
14 feet OR 168 inches
Step-by-step explanation:
4 tables multiplied by 42 inches equals 168 inches total
168 inches divided by 12 inches per feet equals 14 feet.
simplify 10+4(−8q−4)
Answer:
10 + 4(-8q - 4)
= 10 + 4 * (-8q) + 4 * (-4) (Distribute 4)
= 10 - 32q - 16 (Expand)
= -32q - 6 (Combine like terms)
Answer:
[tex]-32q-6[/tex]
Step-by-step explanation:
[tex]10+4(-8q-4)[/tex]
[tex]10+4(-8q)+4(-4)[/tex]
[tex]10+-32q+-16[/tex]
[tex]-32q+-16+10[/tex]
[tex]-32q+-6[/tex]
Given:
MNOP is a parallelogram
Prove:
PM ON
(For this proof, use only the definition of a parallelogram; don’t use any properties)
Answer:
[tex]\overline{PM}\cong\overline{ON}[/tex]:, Segment subtended by the same angle on two adjacent parallel lines are congruent
Step-by-step explanation:
Statement, Reason
MNOP is a parallelogram:, Given
[tex]\overline{PM}\left | \right |\overline{ON}[/tex]:, Opposite sides of a parallelogram
∠PMO ≅ ∠MON:, Alternate Int. ∠s Thm.
[tex]\overline{MN}\left | \right |\overline{PO}[/tex]:, Opposite sides of a parallelogram
∠POM ≅ ∠NMO:, Alternate Int. ∠s Thm.
OM ≅ OM:, Reflexive property
[tex]\overline{PM}\cong\overline{ON}[/tex]:, Segment subtended by the same angle and on two adjacent parallel lines are congruent
The ratio of Tom's studying time on a weekday to his studying
time on a weekend day is 4:5. If he studies 2.4 hours each
weekday, how many hours does Tom study in total every
week?
_hours
Answer:
6 hrs
Step-by-step explanation:
4:5
2.4 : 3.2
2.4+3.2=6 hrs
[tex]( - 8x}^{2} - 5x - 6) + ( - x { }^{2} - x + 5)[/tex]
Solve
Answer:zooooooooooooooooooooooooooooooooom
Step-by-step explanation:
graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 2, and 2 Which of the following functions best represents the graph? f(x) = (x − 2)(x − 3)(x + 2) f(x) = (x + 2)(x + 3)(x + 12) f(x) = (x + 2)(x + 3)(x − 2) f(x) = (x − 2)(x − 3)(x − 12)
Answer:
i would say f(x) = (x-2)(x-3)(x+2) but i could be wrong its a confusing question the way it's worded
Step-by-step explanation:
Select the three expressions that are equivalent to 6^{2}6 2 6, squared. a: (6^9/6^8)^2 b: 6 times 6 times 6 times 6 times 6 times 6 times 6 / 6 times 6 times 6 c: 6^4/6^2 d: 6^5 times 6^7/6^10
Question:
Select the three expressions that are equivalent to [tex]6^2[/tex]:
a: [tex](\frac{6^9}{6^8})^2[/tex]
b: [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]
c: [tex]\frac{6^4}{6^2}[/tex]
d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]
Answer:
a: [tex](\frac{6^9}{6^8})^2[/tex]
c: [tex]\frac{6^4}{6^2}[/tex]
d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]
Step-by-step explanation:
Given
[tex]6^2[/tex]:
Required
Find equivalent expressions
To solve this question; we'll simplify options a to do, one after the other
a: [tex](\frac{6^9}{6^8})^2[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that;
[tex](\frac{6^9}{6^8})^2 = (6^{9-8})^2[/tex]
[tex](\frac{6^9}{6^8})^2 = (6^{1})^2[/tex]
From laws of indices;
[tex]{a^m}^n = a^{m*n} = a^{mn}[/tex]
This implies that
[tex](\frac{6^9}{6^8})^2 = (6^{1*2})[/tex]
[tex](\frac{6^9}{6^8})^2 = 6^{2}[/tex]
Hence, [tex](\frac{6^9}{6^8})^2[/tex] is equivalent to [tex]6^2[/tex]
b. [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]
From laws of indices;
[tex]a^m * a^n = a^{m+n}[/tex]
This implies that
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{1+1+1+1+1+1}}{6^{1+1+1}}[/tex]
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{6}}{6^{3}}[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{6-3}[/tex]
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{3}[/tex]
Hence; [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex] is not equivalent to [tex]6^2[/tex]
c. [tex]\frac{6^4}{6^2}[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that
[tex]\frac{6^4}{6^2} = 6^{4-2}[/tex]
[tex]\frac{6^4}{6^2} = 6^{2}[/tex]
Hence, [tex]\frac{6^4}{6^2}[/tex] is equivalent to [tex]6^2[/tex]
d. [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]
From laws of indices;
[tex]a^m * a^n = a^{m+n}[/tex]
This implies that
[tex]\frac{6^5 * 6^7}{6^{10}} = \frac{6^{5+7}}{6^{10}}[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that
[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{5+7-10}[/tex]
[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{2}[/tex]
Hence, [tex]\frac{6^5 * 6^7}{6^{10}}[/tex] is equivalent to [tex]6^2[/tex]
Which scatterplot correctly represents the table of values below? Number of years collecting stamps Number of stamps in collection 2 100 5 175 4 150 3 125 4 175 3 100 A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 200). A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 150), (4, 150), (4, 175), and (5, 175). A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 175). A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 75), (3, 100), (3, 125), (4, 150), (4, 175), and (5, 175).
Answer:
C. A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 175)
Step-by-step explanation:
In the x-axis goes the values from the column 'Number of years collecting stamps' of the table. And In the y-axis goes the values from the column 'Number of stamps in collection' of the table.
To make the graph identify each pair of values in the plane and mark it.
Answer:
c
Step-by-step explanation:
its corect on edge
involving the use of variables, properties, expressions, and equations
If anyone is good at math can you help me pls :/
Answer:
C
Step-by-step explanation:
An apothem is a line segment connecting the center of a regular polygon to the midpoint of its vertex.
the table shows the heights of 40 students in a class calculate an estimate for the mean height of the students
Answer:
For mean
To show the mean of height measures for 40 students, you need to write-out exactly 40 heights into a calculator and add them up.
Then divide that total number by 40.
Step-by-step explanation:
Eg for 4 students
5 , 5.1, 5.2, 5.7 = 21ft
21/4 = 5.25ft.
Apply the same method but use 40 measures in addition for calulator or long addition. Then divide by 40.
Find the total current drawn by the following appliances by adding the currents of
each appliance. Electric iron: 4.12 amps, clock: 0.02 amps, light bulb: 0.91 amps, and a
workshop motor: 1 amp.
Answer:
The total current drawn is 6.05 amps
Step-by-step explanation:
Simply add the current that each appliance draws, to get the total current required. Notice that they are all given in the same units (amps), so there is no units conversion needed:
Electric iron : 4.12 amps
Clock; 0.02 amps
light bulb : 0.91 amps
motor : 1 amp
Total current : 4.12 amps + 0.02 amps + 0.91 amps + 1 amp = 6.05 amps
A sequence is defined by the recursive function f(n+1)= f(n) -2. If f(1) =10. what is f(3)?
Answer:
f(3) is 30
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Solve for x: [tex]22y\3x=8[/tex]
Answer:
x = 4/(11y)
Step-by-step explanation:
22yx = 8
Solve for x so divide each side by 22y
22xy/22y = 8/22y
x = 4/(11y)
What is the difference between income elasticity for say automobile and income elasticity for farm product
Answer:
Step-by-step explanation:
plz mark me brainliest
income elasticity measures the responsiveness of income to changes in supply while price elasticity of demand measures the responsiveness of demand to a change in price. ... income elasticity refers to a horizontal shift of the demand curve while price elasticity of demand refers to a movement along the demand curve.
hope it helps
Use a calculator to find tan 72°. Round to the nearest thousandth.
Answer:
3.078
Step-by-step explanation:
tan 72° = 3.078
Answer:
tan 72 = 3.078
Step-by-step explanation:
rounded like requested
What is the value of c in the equation? 15.3 = StartFraction c Over 2.1 EndFraction 13.2 17.4 32.13 321.3
Answer:
32.13
Step-by-step explanation:
15.3= c/2.1
c= 15.3* 2.1
c= 32.13
Answer:
32.13 aka C got it right on my quiz
Mark the person on top as Brainliest there are right and answered first
Help please For the following function, construct a table.
Answer:
See the attachment below.
Step-by-step explanation:
Best Regards!
Which relationships have the same constant of proportionality between y and x as in the equation y=1/2x Choose 3 answers:
This is from Khan academy. I'm stuck on it
Answer:
A and B has the same constant of proportionality
Step-by-step explanation:
[tex]y \propto x[/tex]
[tex]y = kx ----1[/tex]
Where k is the constant of proportionality
We are supposed to find Which relationships have the same constant of proportionality between y and x as in the equation [tex]y=\frac{1}{2}x[/tex]
On comparing with 1
[tex]k = \frac{1}{2}[/tex]
A)6y = 3x
[tex]y = \frac{3}{6}x\\y = \frac{1}{2}x[/tex]
So, this equation has the same constant of proportionality
B)[tex](x_1,y_1)=(2,1)\\(x_2,y_2)=(4,2)[/tex]
To find the equation :
Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So, [tex]y - 1=\frac{2-1}{4-2}(x-2)\\y-1=\frac{1}{2}(x-2)\\y-1=\frac{1}{2}x-1\\y=\frac{1}{2}x[/tex]
So, this equation has the same constant of proportionality
C)
[tex](x_1,y_1)=(1,2)\\(x_2,y_2)=(2,4)[/tex]
To find the equation :
Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So, [tex]y - 2=\frac{4-2}{2-1}(x-1)\\y - 2=2(x-1)\\y - 2=2x-2\\y=2x[/tex]
So, this equation do not has the same constant of proportionality
D)
[tex](x_1,y_1)=(2,1)\\(x_2,y_2)=(3,2.5)[/tex]
To find the equation :
Formula :[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So, [tex]y - 1=\frac{2.5-1}{3-2}(x-2)[/tex]
[tex]y-1=1.5(x-2)\\y-1=1.5x-3\\y=1.5x-2[/tex]
So, this equation do not has the same constant of proportionality
Hence A and B has the same constant of proportionality
Options A and B has the same constant of proportionality.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
For option A,
6y=3x
y=3/6x
y=1/2x
This equation has the same constant of proportionality
For Option B
(2,1) and (4,2)
m=2-1/4-2=1/2
We have equation as y-y₁=m(x-x₁)
y-1=1/2(x-2)
y-1=1/2x-1
y=1/2x
this equation has the same constant of proportionality
For option C
(1,2) and (2,4)
m=4-2/2-1=2
We have equation as y-y₁=m(x-x₁)
y-2=2(x-1)
y-2=2x-2
y=2x
Equation do not has the same constant of proportionality
and option D does not have same constant of proportionality
Hence options A and B has the same constant of proportionality.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
Find
[tex]( {10x}^{2} - 11x + 8) + ( {2x}^{2} + 7x - 5 )[/tex]
Answer:
[tex]12x^2-4x+3[/tex]
Step-by-step explanation:
Parentheses do not matter in this equation.
[tex](10x^2-11x+8)+(2x^2+7x-5)=\\10x^2-11x+8+2x^2+7x-5=\\12x^2-11x+8+7x-5=\\12x^2-4x+8-5=\\12x^2-4x+3[/tex]
Our answer is [tex]12x^2-4x+3[/tex]
The composite figure is made up of a triangle, a square and a trapezoid find the area
===============================================
Work Shown:
P = area of triangle
P = 0.5*base*height
P = 0.5*5*4
P = 10 square units
----------------
Q = area of square
Q = side*side
Q = 5*5
Q = 25 square units
----------------
R = area of trapezoid
R = height*(base1+base2)/2
R = 5*(7+5)/2
R = 5*12/2
R = 60/2
R = 30
----------------
T = total area of the entire figure
T = P+Q+R
T = 10+25+30
T = 65 square units
Answer: 71 sq. units
Step-by-step explanation:
formula: 1/2bh + lw + 1/2h(b1+b2)
1/2(20) + (25) + 1/2 (6) (12)
10 + 25 + (3) (12)
10+ 25 + 36 = 71
whats the answer???
Answer:The answer is C 20 cm^3
Step-by-step explanation:
You just multiply 2 by 2 and get 4 and you have 5 squares and you get 4 times 5 which is 20 cm^3
Answer:
Divide the figure into 5 squares.
then find the area 1 square and multiply with 5.
Area of square=s*s
=4 cm²
Then 5*4=20 cm²
so c is the correct option.
HOPE IT HELPS!
The segments shown below could form a triangle
O A. True
O B. False
Answer:
Which value of a in the exponential function below would cause the function to stretch?
(one-third) Superscript x
0.3
0.9
1.0
1.5
Step-by-step explanation:
Answer:
This can form a triangle
Step-by-step explanation:
Taking the two smaller segments
The larger segment must be greater than the sum of the two smaller
6+5 > 8
11>8 true
Need help if you can, help please help
Answer:
4.4 km/h
Step-by-step explanation:
From the graph you can see she was at the shop after 30 minutes. If you travel 2.2 km in 30 minutes, your speed is 2.2 / 0.5 = 4.4 km/h
So the trick is to express the 30 minutes as 1/2 hour.
Answer:
4.4 km/h
Step-by-step explanation:
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?
a. 2Db
b.22Db
c. 60Db
d. 110Db
Answer:
D. 110Db
Step-by-step explanation:
Db = 10log (10^-1 / 10 ^-12)
Db = 10log(10^11)
Db = 110
(even without calculating, we could guess that it was 110Db. 70 Db is about the normal talking Db, and rock concerts are generally a lot louder than regular talking)
Answer:
D. 110Db
Step-by-step explanation:
Antonio was eating a bag of M&Ms. There were 4 green M&Ms, 20 brown M&Ms, 16 red
M&Ms, and 11 blue M&Ms. What is the probability of Antonio eating a blue M&M next?
Answer:
11/51 or 0.21468627
Step-by-step explanation:
7. The probability of passing an
examination is 0.77. What is the
probability of failing the examination?
A. 0.22
B 0.23 C. 0.33
D. 0.72
E. 0.77
Answer:
Option B
Step-by-step explanation:
Total Probability = 1
Probability of passing = 0.77
Probability of failing = 1-0.77
=> 0.23
If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?
1/9
2/3
54
96
Answer:
Y=2/3
Step-by-step explanation:
Y varies directly as X
Y=k x
K is a constant
6=k72
K=1/12
Y=1/12x
Y=1/12×8
y=2/3
Andy has $7,411 in a savings account. The interest rate is 11%, compounded annually.
To the nearest cent, how much interest will he earn in 2 years?
Use the formula B = P(1 + r), where B is the balance (final amount), p is the principal
(starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Submit
Please help :)
Answer:
$1720.0931 will earn as interest in 2 years
Step-by-step explanation:
Principal = $7411
Rate of interest = 11% compounded annually
Time = 2 years
Formula : [tex]A = P(1+r)^t[/tex]
[tex]A=7411(1+0.11)^2[/tex]
A=9131.0931
Interest = Amount - Interest =$9131.0931 - $7411
Interest = $1720.0931
Hence $1720.0931 will earn as interest in 2 years