Answer:
Ernie has a greater range
The statement "the medians are equal" is true for the given table of data about playing a game by Ernie and Lori. This is obtained by calculating the mean, median, mode, and range of the data elements of each.
What are the mean, median, mode, and range for a set of data?Mean: This gives the average value of the data set and is calculated by adding all the elements in the data set and the result is divided by 2.Median: This is the middle value of the data set and it is calculated by rearranging the data in numerical order and then finding [tex]\frac{n}{2}[/tex] or [tex]\frac{n+1}{2}[/tex] for an even or odd number of data elements respectively.Mode: This gives the value that occurs most often in the data set.Range: The difference between the largest and smallest values of the data set is said to be the range.Calculating all the values for both Ernie and Lori:Given data sets for Ernie and Lori as follows:
Ernie: {18, 24, 17, 19, 17} and Lori: {16, 22, 18, 14, 18}
The number of elements in both the data sets is equal and it is 5
Calculating Mean:
For Ernie: {18, 24, 17, 19, 17}
Mean=(18+24+17+19+17)/2
=19
For Lori: {16, 22, 18, 14, 18}
Mean=(16+22+18+14+18)/2
=17.6
Thus, their "means are not equal". (3rd statement is false)
Calculating Median:
For Ernie: {18, 24, 17, 19, 17}
Re-arranging the data - 17, 17, 18, 19, 24
Since n=5 (odd), then the median is at (5+1)/2 th term i.e., 3rd term
So, the median is 18
For Lori: {16, 22, 18, 14, 18}
Re-arranging the data - 14, 16, 18, 18, 22
Since n=5 (odd), then the median is at (5+1)/2 th term i.e., 3rd term
So, the median is 18
Thus, their "medians are equal". (first statement is true)
Calculating Mode:
The most occurring number in Ernie: {18, 24, 17, 19, 17} is 17 and
The most occurring number in Lori: {16, 22, 18, 14, 18} is 18
Thus, their modes are not equal, and "Lori has the greater mode".
(4th statement is false)
Calculating Range:
The range for Ernie's data set is 24 - 17=7
The range for Lori's data set is 22 - 14=8
Thus, their ranges are also not equal but "Lori has the greater range".
(2nd statement is false).
Therefore, 1st statement - " the medians are equal" is true.
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A rectangular ice skating rink is 85 feet wide by 200 feet long. Which of the following is the
area of the rink?
Answer:
17000
Step-by-step explanation:
85 x 200 = 17000
Answer:17000
Step-by-step explanation:200×85=17000
Length×Width
You and some friends buy tickets to a raffle at your school. You can each buy one ticket. In total 150 tickets were sold. The probability that on of your friends win the raffle is 1/30. How many friends of yours bought tickets
Answer:5
Step-by-step explanation:
Given
There are total of 150 ticket
If the probability to win a raffle is [tex]\frac{1}{30}[/tex]
[tex]Probability =\frac{\text{Favorable outvome }}{\text{Total outcome}}[/tex]
[tex]\frac{1}{30}=\frac{\text{no of tickets bought}}{\text{Total no of tickets}}[/tex]
[tex]\frac{1}{30}=\frac{\text{no of tickets bought}}{150}[/tex]
no of tickets bought[tex]=\frac{150}{30}=5[/tex]
and no of tickets bought=No of friends
Therefore there 5 persons who bought tickets
What is the correlation coefficient for the data shown in the table?
A) 0
B) 1
C) 4
D) 5
Write an equation of the line that passes through (0,3) and (4,2).
Answer:
y= [tex]\frac{-1}{4}[/tex]x+3
Step-by-step explanation:
To write an equation for a line, we will first need to find the slope of the graph. This can be done by using the slope formula:
m= [tex]\frac{y_{2-y_{1}} }{x_{2}-x_{1}}[/tex]
Now, we can plug these points in this equation.
m= [tex]\frac{2-3}{4-0}[/tex] --> m= [tex]\frac{-1}{4}[/tex] .
Since we have derived the slope, we can simply use one of the points listed to solve for our other values by plugging them into the line formula:
y= mx+b
------------
2= [tex]\frac{-1}{4}[/tex](4)+b
2=-1+b
3= b
Therefore, the equation we get is:
y= -[tex]\frac{-1}{4}[/tex]x+3
The table shows the scores of 10 students in Mr. Garcia’s 3rd period math class on their last 20-point quiz.
Name Quiz Score
Kelsey 18
Adam 12
Matthew 15
Maria 10
Victoria 13
Michael 20
Jessica 16
Anna 12
Brandon 18
Luis 6
What is the absolute deviation of Victoria’s quiz score from the mean?
A. 0 points
B. 2 points
C. −1 point
D. 1 point
Please give the right answer
Answer:
B. 2 points(Approximately)
Step-by-step explanation:
The mean absolute deviation (MAD) is defined as
[tex]MAD=\frac{\Sigma |x_{i}-\mu| }{N}[/tex]
Where [tex]\mu[/tex] is the means and [tex]N[/tex] is the total number of elements.
First, we need to find the mean:
[tex]\mu = \frac{\Sigma x_{i} }{N} =\frac{18+12+15+10+13+20+16+12+18+6}{10}= \frac{140}{10}\\ \mu=14[/tex]
Then, we calculate the difference between each value and the mean, from that difference, we are gonna use the absolute value.
18 - 14 = |4|
12 - 14 = |-2|
15 - 14 = |-1|
10 - 14 = |-4|
13 - 14 = |-1|
20 - 14 = |6|
16 - 14 = |2|
12 - 14 = |-2|
18 - 14 = |4|
6 - 14 = |-8|
Now, we sum all terms and divide them by the total number of elements, which are 14.
[tex]MAD=\frac{4+2+1+4+1+6+2+2+4+8}{14}= \frac{34}{14}\\ MAD \approx 2.4[/tex]
Therefore, the absolute deviation is about 2 points. The right answer is B.
What is the measure of RST?
Answer:
D or 88 degrees
Step-by-step explanation:
Just took the test
What is the solution to the linear equation? 2/3x -1/2 = 1/3 + 5/6x x = -5 x = -1/6 x = 1/6
х = 5
Answer:
when i simplified it on paper i got this but it has no solution
2(5/6)=27/6=-25=-5/6=1/6
Step-by-step explanation:
can yall help me out really quick please
Answer:
C
Step-by-step explanation:
just did the math ツ
PLEASE HELP!! S is the center of the circle. Suppose that JK=12, LK=12, NS=8, and PS= 2x - 6. Fine the following
Answer:
x = 7
LP = 6
Step-by-step explanation:
JK = 12
LK = 12
NS = 8
PS = 2x - 6
radius bisects the chords JK and LK because it is perpendicular to them.
JK = JN + NK = 6 + 6 = 12
LK = LP + PK = 6 + 6 = 12
LP = 6
radius= root(6^2 + 8^2) = 10 then PS = 8 = 2x -6,
8 = 2x - 6
14 = 2x
x = 7
If three times a number plus four is no more than four times the number minus one, which of the
following are true? Let z represent the number.
Z>5
Z25
ZS5
The number is at least 5.
The number is at most 5.
Answer:
Step-by-step explanation:
3z+4≤4z-1
3z-4z≤-1-4
-z≤-5
z≥5
sol.
The number is at least 5
Which of the graphs is the best example of a line of best fit?
A. A
B. B
C. C
D. D
The best example of a line of best fit will be given in option A.
What is Equation of line?
The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Some graph are shown in figure.
Now, Find the best fit of the line as;
In option A;
The line is contain almost near to the points of the graph.
So, This is the best example of a line of best fit.
In option B;
The line is not passes through any of the given points.
So, It is not best fit.
In option C;
The line is perpendicular to the graph of the points.
So, It is not best fit.
In option D;
The line is vertically with the points of the graph.
So, It is not best fit.
Thus, The best example of a line of best fit will be given in option A.
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PLEASE HELP FIRST ANWER WILL BE MARKED BRAINLIEST!!!
A linear relationship has __________ __________ ___ __________. *
Answer:
A linear relationship has a constant rate of change.
Step-by-step explanation:
Hope this helps!
what is 12.92÷10 but the 5 is on top of the ten
Answer:
I think It's 25.84
Step-by-step explanation:
Find the unit rate.
$5.00 for 2 T-shirts
A: $2.50 per T-shirt
B: $1.50 per T-shirt
C: $3.50 per T-shirt
Answer:
A
Step-by-step explanation:
2.50 x 2 = 5.00
Answer:
A
Step-by-step explanation:
$5.00 divided by 2 which would equal 2.50 (unit rate)
Jeff collected 100 baseball cards.
Thirty-three of the cards are Cincinnati Reds players, and 22 of them are Cleveland Indians.
Part A
What decimal represents the part of the cards that are Cincinnati Reds? can someone help me please
Answer:
33/100 =.33
Step-by-step explanation:
Answer:
0.33
Step-by-step explanation:
The percentage of the Cincinnati Reds would be 33/100 which would be 33%. 33% as a decimal is 0.33.
7) The best classification for 3i + 4i is:
a. Integer
b. Irrational Number
c. Imaginary Number
d. Complex Number
Answer:
C
Step-by-step explanation:
The i's next to each number indicate that they are imaginary
Answer:
c. Imaginary Number
Step-by-step explanation:
3i+4i = 7i
This is an imaginary number
Find an equation equivalent to r = 10 sin theta rectangular coordinates.
We have been an equation in polar coordinates [tex]r=10\text{sin}(\theta)[/tex]. We are asked to write our equation in rectangular coordinates.
We know that the equation [tex]r=2b\text{sin}(\theta)[/tex] is equation of a circle with a radius [tex]|b|[/tex] and center at [tex](0,b)[/tex].
Let us find the value of b.
[tex]2b\text{sin}(\theta)=10\text{sin}(\theta)[/tex]
[tex]\frac{2b\text{sin}(\theta)}{2\text{sin}(\theta)}=\frac{10\text{sin}(\theta)}{2\text{sin}(\theta)}[/tex]
[tex]b=5[/tex]
We know that equation of a circle in rectangular coordinates is [tex](x-h)^2+(y-k)^2=r^2[/tex]
Since [tex]b=5[/tex], so radius is 5 and center is at point (0,5).
[tex](x-0)^2+(y-5)^2=5^2[/tex]
[tex]x^2+(y-5)^2=25[/tex]
Therefore, our required equation would be [tex]x^2+(y-5)^2=25[/tex].
Answer:
x^2+y^2=10y
Step-by-step explanation:
d on edg
I need help. Find the value of x
Answer:
8
Step-by-step explanation:
it's 8 because the sides facing each other equal
Answer:
x = 6
Step-by-step explanation:
In triangle ABC, BD is the bisector of angle ABD.
Therefore by angle bisector property:
[tex] \frac{x}{8} = \frac{3}{4} \\ x = \frac{8 \times 3}{4} \\ x = 2 \times 3 \\ \huge \red{ \boxed{ x = 6}}[/tex]
The base of a rectangular prism has a length of 8m and a width of 4 m if the volume is 64 cubic meters , what is the height of the prism.
Answer:
2
Step-by-step explanation:
Because 8x4 is 32 and 32x2 is 64 so it’s 2
Can someone please help me with this math problem about angles?
Answer:
Step-by-step explanation:
Angle d is 62 degrees
Angle is 27 degrees
Angle h is 118 degrees
A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.
Explain how to find the arc length exactly, and then approximate it to one decimal place.
Answer:
Part 1) The exact value of the arc length is \frac{25}{6}\pi \ in
Part 2) The approximate value of the arc length is 13.1\ in
Step-by-step explanation:
ind the circumference of the circle
The circumference of a circle is equal to
C=2\pi r
we have
r=5\ in
substitute
C=2\pi (5)
C=10\pi\ in
step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion
\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in
Find the approximate value of the arc length
To find the approximate value, assume
\pi =3.14
substitute
\frac{25}{6}(3.14)=13.1\ in
Some please help me out ASAP !!!!
Answer:
About 3
Step-by-step explanation:
Since all real life objects have three dimensions, if you increase the dimensions of an object by a certain factor, the object's volume is greater by the factor cubed.
1500*x^3=45000
x^3=30
x is about 3
Hope this helps!
What is the answer? To this question
Answer:
D.
Step-by-step explanation:
Firstly, we must look at the absolute value symbol. This means that if d is positive, it must be a number greater than 3. If d is negative, the number must be less than -3 (for the absolute value to be greater than 3.)
This results in A and D being possible solutions. HOWEVER, we must look at the ">" symbol.
Notice how the symbol solely represents "Greater than", and not "Greater than OR equal to".
This means that the number line must have OPEN circles at -3 and 3. This will give you solution D.
a) 40 degrees
b) 50 degrees
c)100 degrees
d) 39 degrees
Answer:
A) 40 Degrees
Step-by-step explanation:
angle EGD and angle DGC form a right angle, so subtract:
90-50= 40.
Answer:
D.) 30°
Step-by-step explanation:
∡AGB is vertical to ∡EGD, so they are congruent.
(I put this so you can give Kalehead the brainliest :D)
? ? ?
1 4 7 One digit its right but in the wrong place
1 8 9 One Digit is right and in the right place
9 6 4 Two digits are correct but both in the wrong place
5 2 3 All Digits are wrong
2 8 6 one digit is right but in the wrong place
What are the Tree Numbers
Answer:
679.
Step-by-step explanation:
There is either a 1, 4 or 7 in the number.
From the second guess, 189, 1 cannot be in the number , either 8 or 9 are in right place. Also 4 or 7 are in the number.
9 6 4: 9 may be in the number, also 4 or 6.
No 2,3 or 5.
2 8 6 this tells us there is no 8 , and 9 is the last digit.
As there is no 2 there must be a 6 in the number
So the number contains a 9 and a 6.
The third number is either a 4 or a 7, but from the 964 result it cannot be a 4 because 6 is included.
So it either 679 or 769.
But 964 had 6 in the wrong place so the number is 679.
I think the answer is 679 because you every numbers make sense except for 679.
-Dhruva;)
If log2 24 = y, which choice is closest to the value of y?
Answer:
4.6 :)
Step-by-step explanation:
Evaluate.
8 x 6 = (4 x 6) + ( ___ x 6)
= 24 + ___
= ___
Need answer ASAP.
Answer:
(4 x 6), 24+24, 48
Step-by-step explanation:
It has to equal 48 so you put 4 in the parenthesis.
A boat can travel 105 miles on 15 gallons of gasoline. How much gasoline will it need to go 140 miles?
90 gallons
980 gallons
20 gallons
35 gallons
Answer:
20 gallons
Step-by-step explanation:
105/15=7
7*20=140
Please help fast! I will give brainliest to first correct answer!
Add.
(2x^2+6x=1)+(-7x^2+2x-3)
Look at the attached picture ⤴
Hope it will help u...
Ebru has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and
spades. Each suit contains cards numbered 2 – 10, a jack, a queen, a king, and an ace.
Ebru randomly selects a card. Let A be the event that the card is a 2 and B be the event that it is a spade.
Which of the following statements are true?
Choose all answers that apply:
P(A B ) = P(A), the conditional probability that Ebru selects a 2 given that she has chosen a
spade is equal to the probability that Ebru selects a 2.
PB A) = P(B), the conditional probability that Ebru selects a spade given that she has
chosen a 2 is equal to the probability that Ebru selects a spade.
Answer:
Ebru has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and
spades. Each suit contains cards numbered 2 – 10, a jack, a queen, a king, and an ace.
Ebru randomly selects a card. Let A be the event that the card is a 2 and B be the event that it is a spade.
Which of the following statements are true?
Choose all answers that apply:
P(A B ) = P(A), the conditional probability that Ebru selects a 2 given that she has chosen a
spade is equal to the probability that Ebru selects a 2.
PB A) = P(B), the conditional probability that Ebru selects a spade given that she has
chosen a 2 is equal to the probability that Ebru selects a spade.
Step-by-step explanation:
Ebru has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and
spades. Each suit contains cards numbered 2 – 10, a jack, a queen, a king, and an ace.
Ebru randomly selects a card. Let A be the event that the card is a 2 and B be the event that it is a spade.
Which of the following statements are true?
Choose all answers that apply:
P(A B ) = P(A), the conditional probability that Ebru selects a 2 given that she has chosen a
spade is equal to the probability that Ebru selects a 2.
PB A) = P(B), the conditional probability that Ebru selects a spade given that she has
chosen a 2 is equal to the probability that Ebru selects a spade.
Answers:
In photo below
Explanation:
I got it correct in my test :)