Answers
Let's look at the answer choices to see what the questions wants us to do with the data
⇒ essentially they compare Carol's mean or median to herself or to
Anna's mean or media
⇒ therefore we should calculate Carol's mean, median and Anna's
mean, median
Before we start calculating, let's define what is the mean and median
Mean: it is basically the average which is the sum of all numbers in the set divided by the number of numbers in that setMedian: it is the middle number of the set when the set is ordered from lowest to highestLet's calculate:
Carol's mean,median⇒ Carol's data ordered: 20, 30, 45, 60, 70
[tex]Mean = \frac{20+30+45+60+70}{5} = \frac{225}{5}=45\\ \\Median: 45[/tex]
Anna's mean, median⇒ Anna's data ordered: 30, 35, 45, 60, 65
[tex]Mean = \frac{30+ 35+ 45+ 60+ 65}{5} =\frac{235}{5} =47\\\\Median: 45\\[/tex]
Now using the data, let's compare:
first choice: Carol's mean is equal to her median--> correct
second choice: Carol's mean is not greater than Anna's mean--> incorrect
third choice: Anna's median isnot greater than her mean --> incorrect
fourth choice: Anna's mean is not equal to Carol's mean --> incorrect
Hope that helps!
Related Questions
What is formula for Standard Deviation (σ)
In Individual series
☙[tex] \huge \mathfrak{\pink{ \fbox{ \green{S.D}}}}[/tex]
Answers
Answer:
[tex]sd = \sqrt{ \frac{ fx {}^{2} }{f} - ( \frac{fx}{f}) {}^{2} } [/tex]
Determine the length of DC.
Need the answer urgently.
Answers
Answer:
DC = 39
Step-by-step explanation:
From inspection of the diagram:
EA is tangent to both circlesDE is the radius of circle DCA is the radius of circle CThe tangent of a circle is always perpendicular to the radius, therefore:
DE ⊥ EA and CA ⊥ EA
As ∠DEB and ∠BAC are both 90°, then DE is parallel to CA.
Therefore, ∠DBE and ∠ABC are vertically opposite angles, and are therefore equal.
As triangles ΔBED and ΔBAC have two pairs of corresponding congruent angles, the triangles are similar.
Therefore:
[tex]\implies \sf \dfrac{DE}{CA}=\dfrac{EB}{BA}[/tex]
[tex]\implies \sf \dfrac{10}{5}=\dfrac{24}{BA}[/tex]
[tex]\implies \sf BA=12[/tex]
Using Pythagoras' Theorem for ΔBED to find DB:
[tex]\implies \sf DE^2+EB^2=DB^2[/tex]
[tex]\implies \sf 10^2+24^2=DB^2[/tex]
[tex]\implies \sf DB^2=676[/tex]
[tex]\implies \sf DB=\sqrt{676}[/tex]
[tex]\implies \sf DB=26[/tex]
Using Pythagoras' Theorem for ΔBAC to find BC:
[tex]\implies \sf CA^2+BA^2=BC^2[/tex]
[tex]\implies \sf 5^2+12^2=BC^2[/tex]
[tex]\implies \sf BC^2=169[/tex]
[tex]\implies \sf BC=\sqrt{169}[/tex]
[tex]\implies \sf BC=13[/tex]
Therefore, the distance between the center of the circles DC is:
[tex]\begin{aligned} \implies \sf DC & = \sf DB + BC\\& = \sf 26 + 13\\& = \sf 39\end{aligned}[/tex]
Use Pythagorean theorem
DB²=DE²+EB²DB²=10²+24²DB²=100+576DB²=676DB=26Now use proportion
DE/DB=AC/BC10/26=5/BC5/13=5/BCBC=13Now
DC=DB+BC=26+13=39
Find the length x.
3.5
2.5
0
5
X
Answers
Answer:
x
=
3.5
=
2.5
=
0
=
5
X
=
Step-by-step explanation:
Rodrigo is helping make mashed potatoes for Thanksgiving. He plans to add 4 fluid ounces of heavy cream to his potatoes. If he buys a 1-pint carton, how many fluid ounces will he have left?
Answers
copy the given expression on your answer sheet
Which of the following statements is true of 9 and -9?
Answers
Answer:
2&3
Step-by-step explanation:
They have the same absoulte value
You have to go 18 numbers to get from each other.
They are opposite numbers.
One is negative and one is positive.
Hope it Helps
What is the sum of 4x and 7?
A. 4x+7
B. 3x
C. 11x
D. 3
Answers
Answer:
A. 4x+7
Step-by-step explanation:
What is the sum of 4x and 7?
Add 4x + 7
A. 4x+7B. 3x
C. 11x
D. 3
Answer:
A. 4x+7
Step-by-step explanation:
4x has x-term as a variable while 7 only remains as a constant. Therefore, you cannot combine both terms as 11x since 4x and 7 are not like term.
Like terms are terms that have same variables and degrees. Some examples are:
2x and x are like term.3x and 8x are like term.Non-like terms are terms that have different variables and degree. Some examples are:
x and y are not like term.x² and x are not like term.Like terms operation:
2x + x = 3x4x + 5x = 9x9z + 2z = 11zNon-like terms operation:
2x + 3y remains as itself.sum of 4 and 7x is 4 + 7x.Let me know if you have any questions.
The figure is a parallelogram. Find the missing measures. Enter the number only. No symbols. ( can someone help me please, i will give brainliest)
Answers
Parallelograms have 2 pairs of congruent, parallel sides, and opposite angles that are congruent.
If side KL = 31, then its opposite side, side MN, must also be 31.
If angle N = 119 degrees, then its opposite angle, angle L must also be 119 degrees.
Angle L and Angle K are on the same side of the parallelogram, which means that they are supplementary angles (add up to 180).
119 + K = 180
Angle K = 61 degrees
Hope this helps!
Indicate the equation of the given line in standard form. Write the answer in the equation box below.
The line containing the hypotenuse of right triangle ABC where A (–5, 5), B (1, 1), and C (3, 4) are the vertices.
Answers
Answer:
x + 8y - 35 = 0.
Step-by-step explanation:
The hypotenuse is the line joining A and C.
Slope = (4-5) / (3 + 5)
= -1/8.
Equation is:
y - 4 = -1/8(x - 3)
y - 4 = -1/8x + 3/8
1/8x + y - 35/8 = 0
x + 8y - 35 = 0
HELP PLEASE FOR 20 POINTS!!
Toby is x years old. Seth is y years old. Seth is three years less than twice as old as Toby. Which equation correctly relates the ages of Toby and Seth?
!!!!IF YOU GIVE ME A LINK OR NOT THE ANSWER ILL REPORT!!!!!!
Answers
Answer:
B) y = 2x - 3
Step-by-step explanation:
Seth's age = y
Twice as old as Toby = 2x
3 years less = -3
Hope this helps!
14=v/17.92+7. Solve for v
Answers
Answer:
125.44 = v
Step-by-step explanation:
14 = [tex]\frac{v}{17.92}[/tex] + 7
7 = [tex]\frac{v}{17.92}[/tex]
7(17.92) = v
125.44 = v
Hope this helps!
Answer:
[tex]v = 125.44[/tex]
Step-by-step explanation:
I assume you mean to solve [tex]14=\frac{v}{17.92}+7[/tex]Subtract 7 from both sidesThis gives [tex]7=\frac{v}{17.92}[/tex]Multiply both sides by 17.92[tex]v=125.44[/tex]What is the surface area of an ice cream cone if the radius is 2 inches
Answers
The radius of a cylinder is 3 yards, and the total surface area is 320 square yards. Which of the following is the closest to the height of the cylinder in yards?
A) 14.0 yd
B )20.0 yd
C )15.5 yd
D) 17.0 yd
Answers
Answer:
its A 14.0
Step-by-step explanation:
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units? (x – 3)2 (y – 5)2 = 6 (x – 3)2 (y – 5)2 = 36 (x 3)2 (y 5)2 = 6 (x 3)2 (y 5)2 = 36
Answers
The equation of the circle is (x + 3)² + (y + 5)² = 36. Then the correct option is B.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The center of a circle at (–3, –5) and a radius of 6 units. Then the equation will be given as
(x + 3)² + (y + 5)² = 6²
(x + 3)² + (y + 5)² = 36
Then the equation of the circle is (x + 3)² + (y + 5)² = 36.
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
D
Step-by-step explanation:
I did it B)
what is 2.5 multiplied to ten to the three power
Answers
Answer:
the answer is 2500
Step-by-step explanation:
10 ^3 =1000
next you multiply 1000 x 2.5 = 2500
Express in simplest form.
Answers
Answer:
[tex]3a^{2} b^{2} -6a[/tex]
Step-by-step explanation:
[tex]\frac{15a^{3}b(3ab^{2}-6 ) }{15a^{2} b}[/tex] take [tex]15a^{3}[/tex]b common
[tex]=3a^{2} b^{2}-6a[/tex] cancel like terms
There are 32 students in mr.Ryan’s class. 3/4 of the students have brown hair. The rest have blond hair. How many students have blond hair
Answers
Answer:
8
Step-by-step explanation:
32/4 = 8
8 = 1/4(32)
Answer:
8
Step-by-step explanation:
Since there is 32 students and 3/4 of them have brown hair right. We can change the 3/4 fraction to a similar fraction to help. We can bump it up. As it is similar to 6/8 and 12/16 and 24/32
So 24/32 would have brown hair leaving 8 with blonde
The box plots display the same data for the number of crackers in each snack bag, but one includes the outlier in the data and the other excludes it. 4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21 number of crackers in each bag, with outlier a number line goes from 0 to 26. the whiskers range from 4 to 21, and the box ranges from 15 to 20. a line divides the box at 16. number of crackers in each bag, without outlier a number line goes from 0 to 26. the whiskers range from 14 to 21, and the box ranges from 15 to 20. a line divides the box at 17. which statement comparing the box plots is true? both the median and the range changed. both the range and the lower quartile changed. both the median and the interquartile range changed. both the interquartile range and the lower quartile changed.
Answers
Both the median and the range changed, the correct option is A.
What is the median?Median, in statistics, is the middle value of the given list of data, when arranged in an order.
The data set that contains the outlier is given as:
4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the data is: 4
The median or middle quartile i.e. [tex]\rm Q_2[/tex] is the central tendency of the data and exists in the middle of the data.
The median is: 16
Also, the lower set of data is:
4,14,15,15,16
The lower quartile i.e. [tex]\rm Q_1[/tex] is the median of the lower set of data.
The lower quartile i.e. [tex]\rm Q_1[/tex] = 15
Similarly, the upper set of data is:
18, 19, 20, 20, 21
the upper quartile i.e. [tex]\rm Q_3[/tex] is the median of the upper set of data.
upper quartile i.e. [tex]\rm Q_3[/tex] = 20
Also, the interquartile range is:
[tex]\rm Q_3-Q_1=20-15=5[/tex]
The maximum value of the set is 21.
Range = Maximum value-Minimum value =21 - 4 = 17
As we know that 4 is the outlier of the data as it is the smallest as compared to all the data points.
After removing the outlier the data set is:
14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the set =14
The maximum value of set =21
Range = Maximum value-Minimum value =21-14 = 7
Hence, Both the median and the range changed.
To know more about median and range click the link given below.
https://brainly.com/question/9045470
What is the equation of the line that is perpendicular to y = one-fifth x + 4 and that passes through (5,–4)?
On a coordinate plane, a line goes through (0, 4) and (5, 5). A point is at (5, negative 4).
y = negative 5 x minus 29
y = negative 5 x + 21
y = one-fifth x minus 4
y = one-fifth x minus 5
Answers
Answer:
2nd option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{5}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{5} }[/tex] = - 5 , then
y = - 5x + c ← is the partial equation
to find c substitute (5, - 4 ) into the partial equation
- 4 = - 25 + c ⇒ c = - 4 + 25 = 21
y = - 5x + 21 ← equation of perpendicular line
Simplify the expression
3 (2d + 5) + 4d
Answers
Answer:
The answer is 10d + 15.
Step-by-step explanation:
Simplify the expression. Calculators are helpful for problems such as these...
=10d+15
Good luck
39
The school band held a fundraiser by selling books and magazines. The diagram shows that
the numbers of books Donna and Gemma each sold are proportional to the numbers of
magazines each girl sold.
DONNA
GEMMA
KEY
= 1 Book
= 1 Magazine
What is the constant of proportionality?
A
magazine per book
B books per magazine
24 - Doano reapazine
8 Doana
36 - Genma magazines
12 – Generes boole
,
book
С
3 magazines per book
D
6 books per magazine
Answers
the answer is C 3 magazines per book
Send helppppppppppppppp;((
Answers
Answer:
I will do only 1 sum bru.h
In the 1st sum
the 1st no. can be in 9 ways
the 2nd no. can be in 10 ways
the 3rd no. can be in 10 ways
the 4th no. can be in 10 ways
total no. of ways = 9 × 10 × 10 × 10
= 90 × 100
= 9000 ways
2nd one..
the 1st letter can be written in 4 ways
the 2nd letter can be written in 4 ways
the 3rd letter can be written in 4 ways
the 4th letter can be written in 4 ways
Total no. of ways = 4 × 4 × 4 × 4
= 16 × 16
= 196 ways
Which of the following inequalities matches the graph?

Answers
Answer:
y≥-1
Step-by-step explanation:
First you have to find out whether the inequality has x or y. You can first look at the x coordinate -1. This means that x will always be equal to -1. If you look at the graph than you can see that x is only equal to -1 at one place. So now you know that y is in the inequality. To tell whether this graph is greater than or less than you can look at the line and see whether the shaded section is to the positive side or the negative side. You can see that the shaded area goes in the positive direction so you know that it is greater than.
How many solutions does this equation have? 6x + 9 = 3x + 9
Answers
Answer:
Step-by-step explanation:
If an equation for example is x=5, the equation has one solution. If the equation is for example 4=4, there is an infinite amount of solutions. for your problem we would simplify the equation to get:
6x+9=3x+9
6x=3x
when dividing the x's to cancel eachother out we are left with 6=3. This means we have no solutions possible.
Answer:
in every way it's possible answer is 0!!
Step-by-step explanation:
method 1:
6x-3x=9-9
3x=0
x=0/3
x=0
method 2:
0=3x-6x+9-9
0=-3x
x=0
check
6*0+9=3*0+9
9=9
proved
Please HALP MEEEEEEE
Answers
Answer:
18[tex]\frac{3}{4}[/tex]cm^3
Step-by-step explanation:
V = w*h*l
V = 2.5*3*2.5
V= 18.75
It takes 102 pounds of seed to completely plant a 12 -acre field. How many acres can be planted per pound of seed?
Answers
Answer:
8.5 acres
Step-by-step explanation:
12 pound = 102
1 pound= 102/12= 8.5
So we can plant 8.5 acre field with 1 pound of seed.
Please give me brainliest . :-)
The data set represents the length, in inches, of some crayons.
4342
3222
2434
Click above the number line to create a dot plot for the data set
Answers
Answer:The data set represents the length, in inches, of some crayons.
4342
3222
2434
Step-by-step explanation:
A gallon of milk costs $2.30. What is the cost per quart?
Answers
Answer:
57.5p
Step-by-step explanation:
$2.30 / 4 = 57.5p
cos^2-sin^2=1/3
so what is cos^4-sin^4
Answers
Step-by-step explanation:
[tex]cos ^{2} x - \sin ^{2} x = \frac{1}{3} [/tex]
[tex] \frac{(cos ^{2}x - \sin ^{2} x)(cos ^{2}x + \sin ^{2} x)}{(cos ^{2}x + \sin ^{2} x)} = \frac{1}{3} [/tex]
[tex] \frac{(cos ^{4}x - \sin ^{4} x)}{1} = \frac{1}{3} [/tex]
as cos²x+sin²x=1
Hence
cos⁴x-sin⁴x=1/3
Mahmood Qamber and Basel Alaraibi start walking at the same point, but Mahmood walks 50 feet north while Basel walks 75 feet east. How far apart are Mahmood and Basel when they stop?
Answers
Answer:
they are about 90 feet far apart from each other
Step-by-step explanation:
Here you can use the Pythagorean theorem :
[tex]\sqrt{50^{2}+75^{2}} =\sqrt{8125}[/tex]
[tex]=90.1387818866[/tex]
 Hamza decides to increase the prices of all items in his shop by 10%
a)
Work out the new price of an item normally priced at £210
b)
Work out the new price of an item normally priced at £48
Answers
Answer:
a=£231
b=£32.8
Step-by-step explanation:
get the percentage multiplied by the current price to get the increase then add the increaseto the current price