To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.
The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.
Let's calculate the range and IQR for both players:
For Player A:
The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.
To calculate the range:
[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]
The maximum value is 8, and the minimum value is 1.
[tex]\text{Range} = 8 - 1 = 7[/tex]
For Player B:
The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.
To calculate the range:
[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]
The maximum value is 10, and the minimum value is 1.
[tex]\text{Range} = 10 - 1 = 9[/tex]
To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:
For Player A:
Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.
Q1 = 2
To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.
Q3 = 4
The IQR is calculated as:
[tex]\text{IQR} = Q3 - Q1[/tex]
[tex]\text{IQR} = 4 - 2 = 2[/tex]
For Player B:
Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.
Q1 = 1.5
To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.
Q3 = 5
The IQR is calculated as:
[tex]\text{IQR} = Q3 - Q1[/tex]
[tex]\text{IQR} = 5 - 1.5 = 3.5[/tex]
Based on the calculations, we can conclude:
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.
Player B is the most consistent, with an IQR of 3.5.
Therefore, the correct answer is:
Player A is the most consistent, with an IQR of 2.
[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]
Answer:To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.
The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.
Let's calculate the range and IQR for both players:
For Player A:
The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.
To calculate the range:
The maximum value is 8, and the minimum value is 1.
For Player B:
The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.
To calculate the range:
The maximum value is 10, and the minimum value is 1.
To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:
For Player A:
Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.
Q1 = 2
To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.
Q3 = 4
The IQR is calculated as:
For Player B:
Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.
Q1 = 1.5
To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.
Q3 = 5
The IQR is calculated as:
Based on the calculations, we can conclude:
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.
Player B is the most consistent, with an IQR of 3.5.
Therefore, the correct answer is:
Player A is the most consistent, with an IQR of 2.
♥️ To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.
The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.
Let's calculate the range and IQR for both players:
For Player A:
The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.
To calculate the range:
The maximum value is 8, and the minimum value is 1.
For Player B:
The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.
To calculate the range:
The maximum value is 10, and the minimum value is 1.
To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:
For Player A:
Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.
Q1 = 2
To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.
Q3 = 4
The IQR is calculated as:
For Player B:
Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.
Q1 = 1.5
To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.
Q3 = 5
The IQR is calculated as:
Based on the calculations, we can conclude:
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.
Player B is the most consistent, with an IQR of 3.5.
Therefore, the correct answer is:
Player A is the most consistent, with an IQR of 2.
♥️
Step-by-step explanation:
Caden rolls two fair number cubes numbered from 1 to 6. He first defines the sample space, as shown below:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Based on the sample space, what is the probability of getting a total of 6? (5 points)
a. 5 over 36
Selected:b. 6 over 36This answer is incorrect.
c. 7 over 36
d. 8 over 36
Answer:
B. 6 over 36
Step-by-step explanation:
As we are given the sample space, the events that sum to 6 are:
{(1,5), (2,4), (3,3),(4,2),(5,1)}
Let n(S) be the number of items in sample space
n(S) = 36
Let E be the event the sum is 6
Then,
n(E) = 6
So,
P(Sum of two cubes is 6) = n(E) / n(S)
= 6/36
So, the correct answer is:
B: 6/36
Answer:
B. 6 over 36
Step-by-step explanation:
Work out the area of the trapezium
(some please help, i forgot how to do this )
Answer:
48cm
Step by step:
The area of a trapezoid can be found using the formula A=(1/2)(b1+b2)h, so we replace each variable with what is written on the trapezoid. A=(1/2)(7+9)(6), so once you simplify you get 48.
Answer:
The area of the Trapezium is 48cm².
Step-by-step explanation:
A trapezium has a pair of Parallel Lines.
Let’s mark the line that is on the top as A and the bottom one as B.
Length of line A (Base 1) = 7cm
Length of line B (Base 2) = 9cm
Height of Trapezium = 6cm
Area of Trapezium (Formula) = {( Base 1 + Base 2 ) / 2} * Height
= {( 7cm + 9cm ) / 2} * 6cm
= ( 16cm / 2 ) * 6cm
= 8 cm * 6cm
= 48cm²
The area of the Trapezium is 48cm².
Hope my answer helps you ✌️
Mark BRAINLIEST
A group of 500 middle school students were randomly selected and asked about their preferred frozen yogurt flavor. A circle graph was created from the data collected.
a circle graph titled preferred frozen yogurt flavor with five sections labeled Dutch chocolate 21.5 percent, country vanilla 28.5 percent, sweet coconut 13 percent, espresso, and cake batter 27 percent
How many middle school students preferred espresso-flavored frozen yogurt?
10
15
50
100
Answer:
50
Step-by-step explanation:
21.5%+28.5%+13%+27%=90%
100%-90%=10%
however there are 500 students in the school so you have to work out 10% of 500.
10% of 500 = 50
Answer:
50
Step-by-step explanation:
21.5%+28.5%+13%+27%=90%
100%-90%=10%
however there are 500 students in the school so you have to work out 10% of 500.
10% of 500 = 50
100 PTS *MIDDLE SCHOOL 7th GRADE***** HELP PLEASE!
Answer: x=108 degrees
Step-by-step explanation:
Since ST is a straight line, it measures 180 degrees.
This means that
x+(2/3)x=18
The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540 you would divide 5 by both sides which is ultimately x=108.
Answer:
x=108 degrees
Step-by-step explanation:
We know that since ST is a line, it equals a total of 180 degrees.
Let's write an equation:
[tex]180=x+\frac{2}{3}x[/tex]
simplify
[tex]180=\frac{5}{3} x[/tex]
divide both sides by 5/3
108=x
So, x=108 degrees.
Hope this helps! :)
100 PTS PLS HELP PLS PLS PLS PLSPLSPLPLSSPLSPLSLS
Answer:
D
Step-by-step explanation:
Lets go through each answer choice and check if it is correct.
A: False. 50% of 70 is not 31.
B: False. 17% of 70 is not 17.
C: False. The fraction 8/70 does not simplify to 2/25.
D: Correct. The fraction 14/70 simplifies to 2/10.
Answer:
The answer is D, On average, 2 out of 10 adults visited the museum most frequently.
Step-by-step explanation:
You can find this out by finding out how many adults there was total. You would do 31+14+17+8=70 and the you can see that 14 went to the museum so it would be 14/70. This fraction simplifies to 2/10.
can someone help me please? I know that I will be using the theoretical probability equation, but I just don’t know what to do
Answer:
Step-by-step explanation:
Hi there,
We know that a pair means two and so for each pair of socks he has, we are going to multiply that number by two to find the individual amount.
White socks: 2 pairs x 2 = 4 total white socks
Black socks: 4 pairs x 2 = 8 total black socks
Blue socks: 1 pair x 2 = 2 total blue socks.
Now, you add up the total amount of individual socks in the drawer.
4+8+2 = 14 socks.
We are trying the find the probability that he is going to pick a black sock. The amount of black socks is going to go on the numerator of the fraction and the total amount of socks in the drawer is going to go on the denominator.
8 black socks / 14 total socks
Now that we have this fraction, we need to simplify it. The number 8 and 14 are both divisible by 2, so we now have the fraction (4/7).
What this means is that, theoretically, if he randomly pulled out 7 socks, that 4 of the socks he pulls out should be black, leaving the probability he picks out black socks to be (4/7) of the time or about 57% likely to happen.
I hope this helps, let me know if you have questions :)
Write each expression without the absolute value symbol. |7-(12-x)|
The expression without the absolute value symbol is given as follows:
If x > 5, then |7 - (12 - x)| = -5 + x.If x = 5, then |7 - (12 - x)| = -5 + x.If x < 5, then |7 - (12 - x)| = 5 - x.What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|f(x)| = f(x), x ≥ 0.|f(x)| = -f(x), x < 0.The expression for this problem is given as follows:
7 - (12 - x).
The critical value of x is obtained as follows:
7 - (12 - x) = 0
7 - 12 + x = 0
x = 5.
Hence the expression is given as follows:
If x > 5, then |7 - (12 - x)| = -5 + x.If x = 5, then |7 - (12 - x)| = -5 + x.If x < 5, then |7 - (12 - x)| = 5 - x.More can be learned about the absolute value function at https://brainly.com/question/3381225
#SPJ1
six times the sum of a number and 4 equals 5. Please turn it into an equation :}
Answer:
6(x + 4) = 5
Step-by-step explanation:
We can break this sentence down into individual operations:
"six times" → this means 6 multiplied by some quantity
6 · ()
"the sum of a number and 4" → this is the quantity that we can put inside the parentheses (Note that "a number" is represented as a variable x, and a "sum" is the result of the addition of multiple numbers.)
6 · (x + 4)
"equals 5" → this is self-explanatory; the expression above is equal to 5
6(x + 4) = 5
⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
Note that multiplication with a value inside parentheses is implied.
For example,
4(5) = 4 · 5 = 20
⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
We can solve for x in this equation to solve for "a number".
6(x + 4) = 5
↓ applying the distributive property ... a(b + c) = (a · b) + (a · c)
6x + (6 · 4) = 5
↓ simplifying
6x + 24 = 5
↓ subtracting 24 from both sides
6x = -19
↓ dividing both sides by 6
x = -19/6
10 x 10 to the power of 9 is how many times greater than 5 times 10 to the power of 3
find the answer using scientific notation
Answer: 2,000,000 or 2*10^6
Step-by-step explanation:
10*10^9 = 10000000000
5*10^3 = 5000
10000000000/5000=2000000
[tex]10x10^9[/tex] = 10 x 1000000000 = 10,000,000,000
5 x 10^3 = 5 x 10 x 10 x 10 = 5,000
Divide 10 x 10^9 / 5 x 10^3 and the answer is
2 x 10^6
I hope this helps you, and if I did anything wrong to this problem, please do let me know :)
HELPP!!
The table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 1 at least once.
The probability is?
Type an integer or a fraction
Answer: 7/16
Step-by-step explanation:
Hope this helps! Just find the number that fit the criteria (at least 1 one), and divide it by total outcomes/possibilities.
(explanation please so i can understand)
Triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4). Determine the translation direction and the number of units of the image of triangle JKL if vertex J′ is at (−1, −8).
3 units down
3 units up
7 units to the right
7 units to the left
Answer:
3 units down
Step-by-step explanation:
J(-1, -5) → J'(-1, -8)
The x coordinate of the vertex J is -1 and does not change in J' (it is still -1)
The y coordinate of J is -5, and for J' is -8. This means the translation direction of 3 units down. (-8- -5 = -3)
the table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 1 at least once.
The probability is?
LOOK AT THE PICTURE AND PLEASE HELP!!
Answer: The probability or percentage of the spinner landing on 1 once is 36% or 9 out of 25.
Step-by-step explanation:
help me, please thanks
Answer: 120 feet sqaured
Step-by-step explanation:
Surface area for square pyramid formula: 2bh + b^2
Base = 6 Height = 9
2*6*9+6^2 =
108+12 =
120
Answer:
120 feet squared
Step-by-step explanation:
What is the area of a square with a perimeter of 55 cm
Answer:
Step-by-step explanation:
A= 189.06cm2
Answer:
Step-by-step explanation:
189.06cm2
Help...
The Japanese 5 yen coin has a hole in the middle. What are the possible ways to calculate the difference between the outer and inner circumference of the coin? Check all that apply.
Subtract the two diameters and multiply by 3107-11-05-20-05-task
Calculate the circumference of the coin.
Add the two diameters and multiply by 3107-11-05-20-05-task
Subtract the circumference of the hole from the circumference of the coin.
Calculate the radius of the hole.
P.S fr33 points, I know the answers ;)
Answer:
Subtract the two diameters and multiply by 3107-11-05-20-05-task
Calculate the circumference of the coin.
Subtract the circumference of the hole from the circumference of the coin.
Calculate the radius of the hole.
Step-by-step explanation:
15 POINTS
Ann had twice as many candies as Susan. Then Ann ate 3 of her candies.
This can be modeled using the following equation:
A = 2s - 3
Solve the equation for the number of candies Susan has, S
S = A + [?]/[?]
Answer: S = [tex]\frac{A}{2}[/tex] + [tex]\frac{3}{2}[/tex]
Step-by-step explanation: Isolate S by timesing it by 2, which means you have to times A and 3 by two and take S to the other side of the equation which makes the minus into a plus.
Answer:
[tex]S=\frac{A+3}{2}[/tex]
Step-by-step explanation:
The original equation is:
A=2S-3
But, we are now solving for S, so we have to isolate S.
To do this, we first must add 3 to both sides:
A+3=2S
Next, divide both sides by 2:
[tex]\frac{A+3}{2}=S[/tex]
Hope this helps! :)
7th grade - Find the surface area of this trapezoidal prism. Please help ASAP I'll give brainliest!!!
Answer:
[tex]380 \text{ m}^2[/tex]
Step-by-step explanation:
To find the surface area of the trapezoidal pyramid, we can use the formula:
[tex]SA = 2(b) + (p \cdot d)[/tex],
where [tex]b[/tex] is the area of the base, [tex]p[/tex] is the perimeter of the base, and [tex]d[/tex] is the prism's depth.
First, we should find the area of the base using the area of a trapezoid formula.
[tex]A_\text{trap} = \dfrac{b_1 + b_2}{2} \cdot h[/tex]
[tex]b = \dfrac{15 + 5}{2} \cdot 7[/tex]
[tex]b = 10 \cdot 7[/tex]
[tex]b = 70 \text{ m}^2[/tex]
Now, we can plug the given dimensions along with the base area into the surface area formula.
[tex]SA = 2(b) + (p \cdot d)[/tex]
[tex]SA = 2(70) + ([15 + 10 + 5 + 10] \cdot 6)[/tex]
[tex]SA = 140 + (40 \cdot 6)[/tex]
[tex]SA = 140 + 240[/tex]
[tex]\boxed{SA = 380 \text{ m}^2}[/tex]
PLS HELPPPPPP *100 POINTS***
Answer:
6.9 if a triangle pyramid
Step-by-step explanation:
If triangle pyramid,
1/3(b)(h)
1/3(200)(h)=460
h=6.9
Write this number in scientific notation.
Thank you!
Answer:To write the number 0.0000149 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
First, we move the decimal point to the right until there is only one non-zero digit to the left of the decimal point, which gives us:
1.49 × 10^-5
Since we moved the decimal point 5 places to the right, the exponent of 10 is negative 5.
Therefore, the scientific notation of 0.0000149 is 1.49 × 10^-5.
Step-by-step explanation:
Answer:
1.49×10^-5
Step-by-step explanation:
0.0000149=1.49×10^-5
it's to the power of -5 because it's a decimal number not a whole number
The table shows the results of a survey of 100 people randomly selected at an airport. Find the experimental probability that a person is going to City E.
Airport Destinations
Destination
Number of Responses
City A
City B
City C
City D
City E
28
34
16
14
8
Answer: 8 people will go to e
Step-by-step explanation: it goes in order
Starting at the same point, Tom and Juanita go biking in opposite directions. If Tom rides at a speed of 16 mph, and Juanita rides at a speed of 18 mph, how far apart will they be in 2 hours? Please help I need the answer like right now! But also take your time to think it through!
Answer:
Tom and Juanita will be 68 miles apart.
Step-by-step explanation:
16 x 2 = 32 miles
18 x 2 = 36 miles
36 + 32 = 68 miles
Answer:
Sure.
Tom and Juanita are moving in opposite directions, so their speeds are added together. Their combined speed is 16+18=34 mph.
If they travel for 2 hours at a speed of 34 mph, they will travel a distance of 34×2=68 miles.
Therefore, they will be 68 miles apart in 2 hours.
Is there anything else I can help you with?
Step-by-step explanation:
A decagon is a 10-sided figure.
Divide the decagon into triangles.
Answer:
8 triangles
Step-by-step explanation:
