Answer:
C. Team Y’s scores have a lower mean value.
Step-by-step explanation:
We are given that Two soccer teams play 8 games in their season. The number of goals each team scored per game is listed below:
Team X: 11, 3, 0, 0, 2, 0, 6, 4
Team Y: 4, 2, 0, 3, 2, 1, 6, 4
Firstly, we will calculate the mean, median, range and inter-quartile range for Team X;
Mean of Team X data is given by the following formula;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{11+ 3+ 0+ 0+ 2+ 0+ 6+ 4}{8}[/tex] = [tex]\frac{26}{8}[/tex] = 3.25
So, the mean of Team X's scores is 3.25.
Now, for calculating the median; we have to arrange the data in ascending order and then observe that the number of observations (n) in the data is even or odd.
Team X: 0, 0, 0, 2, 3, 4, 6, 11
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
If n is even, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
Here, the number of observations is even, i.e. n = 8.
So, Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(\frac{8}{2})^{th} \text{ obs.} +(\frac{8}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(4)^{th} \text{ obs.} +(5)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{2+3}{2}[/tex] = 2.5
So, the median of Team X's score is 2.5.
Now, the range is calculated as the difference between the highest and the lowest value in our data.
Range = Highest value - Lowest value
= 11 - 0 = 11
So, the range of Team X's score is 11.
Now, the inter-quartile range of the data is given by;
Inter-quartile range = [tex]Q_3-Q_1[/tex]
[tex]Q_1=(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](\frac{8+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](2.25 )^{th} \text{ obs.}[/tex]
[tex]Q_1 = 2^{nd} \text{ obs.} + 0.25[ 3^{rd} \text{ obs.} -2^{nd} \text{ obs.} ][/tex]
= 0 + 0.25[0 - 0] = 0
[tex]Q_3=3(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]
= [tex]3(\frac{8+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](6.75 )^{th} \text{ obs.}[/tex]
[tex]Q_3 = 6^{th} \text{ obs.} + 0.75[ 7^{th} \text{ obs.} -6^{th} \text{ obs.} ][/tex]
= 4 + 0.75[6 - 4] = 5.5
So, the inter-quartile range of Team X's score is (5.5 - 0) = 5.5.
Now, we will calculate the mean, median, range and inter-quartile range for Team Y;
Mean of Team Y data is given by the following formula;
Mean, [tex]\bar Y[/tex] = [tex]\frac{\sum Y}{n}[/tex]
= [tex]\frac{4+ 2+ 0+ 3+ 2+ 1+ 6+ 4}{8}[/tex] = [tex]\frac{22}{8}[/tex] = 2.75
So, the mean of Team Y's scores is 2.75.
Now, for calculating the median; we have to arrange the data in ascending order and then observe that the number of observations (n) in the data is even or odd.
Team Y: 0, 1, 2, 2, 3, 4, 4, 6
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
If n is even, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
Here, the number of observations is even, i.e. n = 8.
So, Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(\frac{8}{2})^{th} \text{ obs.} +(\frac{8}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(4)^{th} \text{ obs.} +(5)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{2+3}{2}[/tex] = 2.5
So, the median of Team Y's score is 2.5.
Now, the range is calculated as the difference between the highest and the lowest value in our data.
Range = Highest value - Lowest value
= 6 - 0 = 6
So, the range of Team Y's score is 6.
Now, the inter-quartile range of the data is given by;
Inter-quartile range = [tex]Q_3-Q_1[/tex]
[tex]Q_1=(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](\frac{8+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](2.25 )^{th} \text{ obs.}[/tex]
[tex]Q_1 = 2^{nd} \text{ obs.} + 0.25[ 3^{rd} \text{ obs.} -2^{nd} \text{ obs.} ][/tex]
= 1 + 0.25[2 - 1] = 1.25
[tex]Q_3=3(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]
= [tex]3(\frac{8+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](6.75 )^{th} \text{ obs.}[/tex]
[tex]Q_3 = 6^{th} \text{ obs.} + 0.75[ 7^{th} \text{ obs.} -6^{th} \text{ obs.} ][/tex]
= 4 + 0.75[4 - 4] = 4
So, the inter-quartile range of Team Y's score is (4 - 1.25) = 2.75.
Hence, the correct statement is:
C. Team Y’s scores have a lower mean value.
At a concession stand,three hot dog(s) and two hamburger(s) cost $8.25;two hot dog(s) and three hamburger(s) cost $8.00. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog? $_____
Answer:
The cost of one hot dog and the cost of one hamburger is $3.25
The cost of one hot dog is $1.75
Step-by-step explanation:
Let the number of hot dogs be represented by d and hamburgers be h
3d + 2h = 8.25 ----- eqn(I)
2d + 3h = 8.00 ----- eqn(II)
From eqn(I): d = (8.25 - 2h)/3
substitute the expression for d into eqn(II)
2d + 3h = 8
2(8.25 - 2h)/3 + 3h = 8
(16.50 - 4h) + 3h(3) = 8(3)
16.50 - 4h + 9h = 24
5h = 24 - 16.50
5h = 7.50
h = 7.50/5 = 1.50
One hamburger costs $1.50
d = (8.25 - 2h)/3 = (8.25 - 2×1.50)/3 = (8.25 - 3.00)/3 = 5.25/3 = 1.75
One hot dog costs $1.75
Cost of one hot dog and cost of one hamburger = $1.75 + $1.50 = $3.25
Identify an equation in point-slope form for the line perpendicular to
y=-2x + 8 that passes through (-3,9).
O A. y - 9 =-2(x+3)
O B. y+3 (x-9)
O C. y-9 - (x+3)
O D. y + 9 = 2(x-3)
Answer:
[tex]y - 9 = \frac{1}{2}(x +3)[/tex]
Step-by-step explanation:
Given
Function; [tex]y = -2x + 8[/tex]
Required
Find an equation perpendicular to the given function if it passes through (-3,9)
First, we need to determine the slope of: [tex]y = -2x + 8[/tex]
The slope intercept of an equation is in form;
[tex]y = mx + b[/tex]
Where m represent the slope
Comparing [tex]y = m_1x + b[/tex] to [tex]y = -2x + 8[/tex];
We'll have that
[tex]m_1 = -2[/tex]
Going from there; we need to calculate the slope of the parallel line
The condition for parallel line is;
[tex]m_1 * m_2 = -1[/tex]
Substitute [tex]m_1 = -2[/tex]
[tex](-2) * m_2 = -1[/tex]
Divide both sides by -2
[tex]m_2 =\frac{ -1}{-2}[/tex]
[tex]m_2 =\frac{1}{2}[/tex]
The point slope form of a line is;
[tex]y - y_1 = m_2(x - x_1)[/tex]
Where [tex](x_1,y_1) = (-3,9)[/tex] and [tex]m_2 =\frac{1}{2}[/tex]
[tex]y - y_1 = m_2(x - x_1)[/tex]becomes
[tex]y - 9 = \frac{1}{2}(x - (-3))[/tex]
Open the inner bracket
[tex]y - 9 = \frac{1}{2}(x +3)[/tex]
Hence, the point slope form of the perpendicular line is:
[tex]y - 9 = \frac{1}{2}(x +3)[/tex]
Make a 3-by-3 logic grid on your own paper. Use it to help you solve the logic
puzzle and answer the question given below.
Tina, Jewel, and Amy have three different pets (dog, goldfish, and ferret).
• Tina is allergic to dogs.
• Jewel does not have the ferret.
• The dog belongs to Amy.
Who owns the ferret?
Answer:
Tina
Step-by-step explanation:
Since Amy owns the dog, she doesn't have the ferret and we know that Jewel doesn't have the ferret so the answer is Tina.
solve as many as you can please
Answer:
1. 5²
2. 6p⁵
3. y⁶
4. 1/5w²
5. n⁶/9p⁷
7. 12²
8. 2/5
Which of the following best describes ABC?
A. Obtuse angle
B. Inscribed angle
C. Central angle
D. Vertical angle
The angle ABC is best described as inscribed angle.
What is Chord of a Circle?Chord of a circle is defined as the line segment that is formed by joining two points which are on the circle.
Diameter is the largest chord.
Given is a circle.
There are two chords which are defined on the circle as AB and BC.
The angle between the two chords is marked as 44°.
Obtuse angle is the angle which is greater than 90°.
Central angle is the angle formed at the center of the circle.
Vertical angle is formed vertically to another angle.
Inscribed angles are those which are formed inside the circle when two chords intersect on the circle.
So ∠ABC is an inscribed angle.
Hence the angle ABC is an inscribed angle.
Learn more about Inscribed Angles here :
https://brainly.com/question/16475520
#SPJ7
Lewis needed to find the difference in lengths between the hypotenuse and the longest leg of this triangle. His work is shown below.
What errors did Lewis make? Check all that apply.
He simplified incorrectly. It should be 20 instead of 200.
He found the difference between the hypotenuse and the short leg instead of the long leg.
He evaluated incorrectly. It should be .
He evaluated incorrectly. It should be .
He should not have taken the square root of each side to get rid of the exponent.
*see the attachment below showing Lewis' work
Answer:
*He simplified √400 incorrectly. It should be 20 instead of 200.
*He found the difference between the hypotenuse and the short leg instead of the long leg
Step-by-step explanation:
=>Going through the work of Lewis, you'd observe that in the 5th line where Lewis was supposed to simplify √400, he made a mistake by writing 200 instead of 20. The square root of 400 is 20 not 200.
=>Also, the length of the longest leg of the right angled triangle that Lewis is supposed to subtract from the length of the hypothenuse is 16 NOT 12.
The difference between the length of the hypothenuse and the length of the longest Leg = 20 - 16 = 4
Answer: A & B homies...
person up top is correct also...
Step-by-step explanation: on edg 2020
What is the domain of this function graphed above?
Answer:
domain: x cant be equal to 3.75
Step-by-step explanation:
I don't know if the problem is in my calculations or the question itself, but the result I got is irrational.
Anyway, here are my calculations. If the help you somehow to solve the question - great!
If not,srry to disappoint you
A recently published research study looked at 3000 people over a period of 15 years and determined that those people who ate fast food two or more times per week had gained an average of 10 pounds more than the group who ate fast food less than twice a week. a) Would the 3000 people constitute a census or a sample? b) Was the data qualitative or quantitative?
Answer: a) sample
b) quantitive.
Step-by-step explanation:
Given: A recently published research study looked at 3000 people over a period of 15 years and determined that those people who ate fast food two or more times per week had gained an average of 10 pounds more than the group who ate fast food less than twice a week.
Here, population = "people who ate fast food two or more times per week"
Since a census is the data of all members in a population whereas a sample is a subset of it.
Then, 3000 people constitute a sample as it is a subset of the population.
Since the researcher's point of interest it to measure average weight gain which is a quantitive measure.
So, the data is quantitative.
The line L is shown on the grid. Find an equation for L. Give your answer in the form y=mx+c
Answer:
y=4x-5
Step-by-step explanation:
y=mx+b,
You can identify that the y-intercept is -5.
Using rise/run, there is a rise of +4 and a run of +1, 4/1=4.
Slope = 4
Y-intercept=-5
Slope-intercept form of equation of line is, y = mx + c
Equation of line L is, y = 5x - 5
From given figure, it is observed that line L is passing through point (0, -5) and (1, 0).
First we have to find slope (m) of line.
[tex]m=\frac{0-(-5)}{1-0} =5[/tex]
So, equation of line becomes,
[tex]y=5x+c[/tex]
Since, line passing through (1, 0). Therefore, substituting point (1, 0) in above equation of line.
We get, c = - 5
Thus, equation of line is, [tex]y=5x-5[/tex]
Learn more:
https://brainly.com/question/11552995
What solid figure has five faces and five vertices? rectangular prism cone triangular prism square pyramid
Answer:
Square pyramid
Step-by-step explanation:
The flat square on the bottom is 1 face and there are 4 triangle faces.
The flat square on the bottom has 4 vertices and there is the pointy 1 at the top that holds the 4 triangles.
Hope dis helps,
Have a great day.
Answer:
Square Pyramid
Step-by-step explanation:
Only a square Pyramid has 5 faces and 5 vertices. The right one!
A rectangular prism has 6 faces and 8 vertices. Wrong
A cone has 1 face and 0 vertices. Wrong
A triangular prism has 5 faces and 6 vertices. Wrong
Need help trying to figure out
Answer:
14
Step-by-step explanation:
[tex]\frac{18}{45}[/tex]= [tex]\frac{x}{35}[/tex]
18 x 35= 45x
630=45x
x=14
The low temperature in degrees Fahrenheit for 5 days was – 5, – 7, – 2, 2, and – 3. What was the average low temperature for those days? (Please explain it in detail)
Answer:
-3
Step-by-step explanation:
To find the average of different numbers, first you add them all up. So -5+-7+-2+2+-3+=-15. Then, you divide the sum of all the numbers by the amount of numbers there were. So in this case, there were 5 numbers so we would divide the sum of all of them by 5. So now we do -15/5=-3.
Another example of finding the average of numbers is 15+4+10+9+3+1. So first we add them up and we get 42, then again, we divide by the amount of numbers there are. So we do 40/6 and we get 7, so the average is 7.
I hope this helped.
What is 2^5 in standard notation
from least to greatest -9, 12/20, 1/5
Answer:
-9, 1/5, 12/20
Step-by-step explanation:
-9 is negative so it will always be the least. It helps to turn the fractions into decimals. To do this, you can just divide 1 by 5 and 12 by 20.
1/5 = .2
12/20 = .6
So, 1/5 is less than 12/20.
This makes the order -9, 1/5, 12/20.
Answer:
-9, 1/5 12/20
Step-by-step explanation:
Use 0 as a border.
All numbers less than 0 on one side the rest on the other.
You will have -9 on less than zero and 1/5, 12/20 on the other side.
So -9 is the least.
Now you have 1/5, and 12/20.
Make the denominators equal.
1/5 x 4/4= 4/20, 12/20 x 1/1 = 12/20
Compare the Numerators.
4 is less than 12.
So the answer is -9, 1/5, 12/20.
Feel free to ask questions.
help me plzzzz i need help
Answer:
What's the question?
Step-by-step explanation:
What is 21 multiplied by 80
Answer:
1680
Step-by-step explanation:
you can use a calculator or do the normal operation
HELPP!!! 10 POINTS The list shows the number of skateboarders that visited a skate park each day for two weeks. 23 14 20 45 32 36 12 9 14 32 41 33 18 44 Which histogram correctly represents the distribution of the data?
Answer: D
Step-by-step explanation:
It is the only graph with 3 on 40-49.
Hope it helps <3
Which expression is equivalent to ....
Answer:
Its the first answer 24
Point A is at (6,-6) and point C is at (-6,-2). Find the coordinates of point B on line AC such that AB= 3/4 AC Urgent, need this immediately. PLS EXPLAIN
Answer:
[tex]B(x,y) = (-3,0)[/tex]
Step-by-step explanation:
Given
[tex]A = (6,-6)[/tex]
[tex]C = (-6,2)[/tex]
[tex]AB = \frac{3}{4} AC[/tex]
Required
Find coordinates of B
First, we need to convert [tex]AB = \frac{3}{4} AC[/tex] to ratio [tex]AB:BC[/tex]
SInce [tex]AB = \frac{3}{4} AC[/tex], then
[tex]AB : BC = 3 : 4 - 3[/tex]
[tex]AB : BC = 3 : 1[/tex]
The coordinates of B can then be calculated as follows;
[tex]B(x,y) = (\frac{nx_1 + mx_2}{n + m},\frac{ny_1 + my_2}{n + m})[/tex]
Where
[tex]A(x_1,y_1) = A(6,-6)[/tex]
[tex]C(x_2,y_2) = A(-6,2)[/tex]
[tex]m:n = 3 : 1[/tex]
Substitute these values in the given formula;
[tex]B(x,y) = (\frac{1 * 6 + 3 * -6}{1 + 3},\frac{1 * -6 + 3 * 2}{1 + 3})[/tex]
[tex]B(x,y) = (\frac{6 -18}{4},\frac{-6 + 6}{4})[/tex]
[tex]B(x,y) = (\frac{-12}{4},\frac{0}{4})[/tex]
[tex]B(x,y) = (-3,0)[/tex]
Hence, the coordinates of B is [tex](-3,0)[/tex]
A plane is heading in a direction of 045 degress and changes course in a clockwise direction to 135 degrees. The angle though which the plane turn is?
Answer: 90 degrees clockwise
Subtract the angles to get the answer
135 - 045 = 90
In terms of compass bearings, 045 degrees is directly pointed at northeast while 135 degrees is pointed directly at southeast. We have 0 degrees pointed straight north.
HELP NEEDED NOW Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.
Answer:
29
Step-by-step explanation:
The formula for lower quartile(Q1) = 1/4(n + 1)th term
Where n = number of terms.
For Data set A = 73, 75, 79, 81, 84, 85, 86, 86, 89, 91, 94, 95
n = 12
Q1 = 1/4 (n + 1) th term
Q1 = 1/4(12 + 1) th term
Q1 = 1/4(13) th term
Q1 = 3.25th term
The 3.25th term is data set A is between the 3rd and 4th term
3rd term = 79
4th term = 81
3.25th term = 79 + 81/2
= 160/2
= 80
For Data set B = 47, 49 , 51, 51, 55, 56, 57, 58, 59, 59, 61, 62
n = 12
Q1 = 1/4 (n + 1) th term
Q1 = 1/4(12 + 1) th term
Q1 = 1/4(13) th term
Q1 = 3.25th term
The 3.25th term is data set A is between the 3rd and 4th term
3rd term = 51
4th term = 51
3.25th term = 51 + 51/2
= 102/2
= 51
The difference between the lower quartile of Data Set A and Data Set B =
80 - 51 = 29
which expression is equivalent to (16 x 8 y - 12) 1 / 2
Answer: I don't really know exactly what you are asking for but does this help? 8x4y-6
Step-by-step explanation:
Distribute the 1/2 to each of the factors. If you need me to explain further please let me know :)
Answer: 8x⁸y - 6
Step-by-step explanation:
[tex](16x^8y - 12) \times \bigg(\dfrac{1}{2}\bigg)\\\\\\=\dfrac{16x^8y}{2}-\dfrac{12}{2}\\\\\\=8x^8y-6[/tex]
What is the equation of the line that is parallel to y = negative two-thirds x + 4 and that passes through (–2,–2)? On a coordinate plane, a line goes through (3, 2), and (6, 0). A point is at (negative 2, negative 2). y = negative two-thirds x minus four-thirds y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction y = negative two-thirds x minus two-thirds y = negative two-thirds x minus StartFraction 17 Over 4 EndFraction
Answer:
Option B.
Step-by-step explanation:
If equation of a line is y=mx+c, then m is the slope of line.
The given equation is
[tex]y=-\dfrac{2}{3}x+4[/tex]
Here, slope of line is [tex]m=-\dfrac{2}{3}[/tex].
We need to find the equation of line that is parallel to given equation and passes through (–2,–2).
We know that, slope of parallel lines are same. So, slope of required line is [tex]m=-\dfrac{2}{3}[/tex]. So, equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-2)=-\dfrac{2}{3}(x-(-2))[/tex]
[tex]3(y+2)=-2(x+2)[/tex]
[tex]3y+6=-2x-4[/tex]
[tex]3y=-2x-4-6[/tex]
[tex]3y=-2x-10[/tex]
Divide both sides by 3.
[tex]y=\dfrac{-2x-10}{3}[/tex]
[tex]y=-\dfrac{2}{3}x-\dfrac{10}{3}[/tex]
Therefore, the correct option is B.
Answer:
B.) y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction
Step-by-step explanation:
Fill in with <, >, or = to
make the statement true.
'
1
12
1
4
14
Answer:
1
1=1 1<12 1=1 1<4 1<14
12
12=12 12>1 12>1 12>4 12<14
1
1=1 1<12 1=1 1<4 1<14
4
4=4 4>1 4<12 4>1 4<14
14
14=14 14>1 14>12 14>1 14>4
FIRST GETS BRAINLLEST A unicycle wheel has a diameter of 30 inches. How many inches will the unicycle travel in 6 revolutions? Use π = 3.14 and round your answer to the nearest hundredth of an inch.
Answer:
565.2 inches
Step-by-step explanation:
circumference = 2pi r
=2x3.14x15
=94.2
6 revolutions =6x94.2=565.2
Given: Circle k (O), OA and OC -radii, AP and CP - tangents, m∠AOC=150° Find: m∠APC
Answer:
m∠APC = 30°
Step-by-step explanation:
To solve for the above question, we would be making use of circle theorems
Looking at the circle, we can see that
m∠APC is an Angle outside the circle
m∠AOC is a smaller arc in the circle.
Therefore, Circle Theorem states that for a circle with two tangents,
The Angle outside the circle + The smaller arc = 180°
Hence,
m∠AOC + m∠APC = 180°
m∠APC = 180° - m∠AOC
m∠APC = 180° - 150°
m∠APC = 30°
what is the gfc of h^4 and h^8
Answer:
23
Step-by-step explanation:
We can write h^8 as h^(4+4) = h^4*h^4. So buried inside h^8 are two copies of h^4 multiplied together
So both terms have a greatest common factor of h^4
If you had something like h^4 + h^8, then it would factor to h^4(1 + h^4)
6x-15=6x+15 Please solve this equation! I will put the brainliest, if its right answer
Answer:
No solution.
Step-by-step explanation:
[tex]6x-15=6x+15\\\\6x-15-6x=6x+15-6x\\\\\boxed{-15\neq 15}[/tex]
There is no solution to the equation.
One student ate 3/20 of all candies and another 1.2 lb. The second student ate 3/5 of the candies and the remaining 0.3 lb. What weight of candies did they each eat? PLEASE HELP!!
Let the total weight of the candy = x
We know the total weight is:
X = 3/20x + 1.2 + 3/5x+ 0.3
Simplify:
X= 3/20x + 1.2 + 12/20x + 0.3
X = 15/20x + 1.5
Subtract 15/20x from both sides:
5/20x = 1.5
Divide both sides by 5/20:
X = 1.5 / 5/20
X = 6
Total = 6 pounds.
Multiply.
(2x2 – 3x)(3x2 + 2x - 1)
A. 5x4 - 5x2 - 7x2 – 3x
B. 6x4 + 5x3 - 8x2 + 3x
C. 6x4 - 5x3 - 8x2 – 3x
D. 64 - 5x3 – 8x2 + 3x
Answer:
correct answer is D
Step-by-step explanation: