Removing the point (64, 40,786) from the dataset and conducting a new regression analysis may impact the slope of the least-squares line and the correlation coefficient, depending on whether the point is an outlier or follows the overall trend of the data.
If the point representing 64 wins and attendance of 40,786 people per game is removed from the set of data and a new regression analysis is conducted, the following would be impacted:
(i) The slope of the least-squares line would be impacted. This is because the slope of the line is calculated based on the data points and removing a point from the dataset would change the overall trend of the data. The slope would be recalculated based on the remaining data points, and it would be different from the original slope.
(ii) The correlation coefficient would also be impacted. The correlation coefficient measures the strength and direction of the linear relationship between two variables. Removing a point from the dataset would change the overall pattern of the data, which would in turn affect the correlation coefficient. The new coefficient would reflect the revised relationship between the remaining data points.
Let's consider how the removal of the point representing 64 wins and an attendance of 40,786 people per game would impact the regression analysis.
(i) The slope of the least-squares line:
When you remove a point from a dataset, it may cause the least-squares line to change. If the point is an outlier or significantly different from the other points in the dataset, it may have a substantial impact on the slope. If the point is close to the overall trend of the data, its removal might not affect the slope as much. In this case, if the point (64, 40,786) is an outlier, removing it could cause the slope of the least-squares line to change. If it is not an outlier, the change in slope may be minimal.
(ii) The correlation coefficient:
The correlation coefficient measures the strength and direction of the relationship between two variables. If the removed point is an outlier, its removal can impact the correlation coefficient. If the point is closely following the overall trend of the data, removing it might not have a significant effect on the correlation coefficient. In this case, if the point (64, 40,786) is an outlier, removing it could cause the correlation coefficient to increase or decrease in magnitude, depending on how it deviates from the trend. If it is not an outlier, the change in the correlation coefficient may be minimal.
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Questions from Page 47 in Dale Seymour Publications' Developing Skills in Algebra Book B (adding all of this info in case someone needs to keyword it at some point)
3.] The length of one rectangle is 7 m more than the width. The width of a smaller rectangle is 4 m less than and the length is 3m more than the width of the larger rectangle. The difference in the areas of the two rectangles is 108 m^2. Find the length of the smaller rectangle.
5.] A rectangular swimming pool with uniform depth is 12 ft wider than twice the depth and 10 ft longer than five times the depth. The volume of the pool is 5640 ft^3 less than the sum of ten times the cube of the depth and eight times the product of the length and width. Find the length of the pool.
6.] The longer base of a trapezoid is 12 cm more than the height, and the shorter base is 6 cm less than the longer base. The area of the trapezoid is 167 cm^2 less than the product of the bases. Find the height of the trapezoid.
7.] The width of a rectangular gravel pit is 1 m less than 4 times its depth, and the length is 3 m more than 16 times the depth. The volume is 45 m^3 less than the difference between 64 times the cube of the depth and 4 times the square of the depth. Find the length of the gravel pit.
For the 5th question, the length of the pool based on the information given will be 70ft.
How to calculate the lengthThe length of the pool can be described by the equation: length = 5x + 10, while the width of the pool can be portrayed through the equation: width = 2x + 12.
After weighing out the rationale for both sides of the expression, simplify it down to: x^3 + 12x^2 - 528x - 564 = 0. This can be broken up with synthetic division or a calculator and a possible solution to this problem is x = 12.
Further compounding the two equations, length = 70 ft and width = 36 ft emerge; presenting length being 70 ft and width claimed at 36 ft.
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9 + n = -2?
A. -11 B. -7 C. 2 D. 7
Answer: Answer is A. -11
Step-by-step explanation:
Try doing all the numbers ( The answer choices) minus 9.
-11 - 9 = -2
on an american roulette table, there are 38 squares that correspond to 38 slots in the roulette wheel. you can bet on single squares or combinations of squares. each square has a number and a color. eighteen of the squares are red, 18 are black, and 2 are green. one thing you can do is bet red (or black), and it pays even money. (you risk $1, but if the roulette lands on any red space, you get back your $1 plus $1 in winnings.) if you play 30 times, betting $1 on red each time, what is the probability you will come out ahead? 0.64 0.36 0.50 none of the above.
The probability of coming out ahead after 30 spins is about 0.0732
The probability of winning on a single spin by betting on red (or black) is 18/38, which is approximately 0.4737.
Assuming each spin is independent of the others, the probability of winning exactly 15 times out of 30 is given by the binomial distribution with n=30 and p=0.4737. This can be calculated using the formula
P(X = k) = (n choose k) × [tex]p^k[/tex] × [tex](1-p)^{n-k}[/tex]
where X is the random variable representing the number of times we win in 30 spins, k is the number of times we win, "choose" denotes the binomial coefficient, and ^ denotes exponentiation.
Using a calculator or software that can calculate binomial probabilities, we find that
P(X = 15) = (30 choose 15) × 0.4737¹⁵ × 0.5263¹⁵ ≈ 0.0971
This means that the probability of winning exactly 15 times out of 30 is about 0.0971, or approximately 9.71%.
To find the probability of coming out ahead (winning more than you bet) after 30 spins, we need to consider all the possible outcomes. If we win exactly 15 times, we break even (winning 15 dollars and losing 15 dollars). If we win more than 15 times, we come out ahead. If we win less than 15 times, we come out behind.
The probability of winning more than 15 times can be calculated by adding up the probabilities of winning 16 times, 17 times, and so on, up to 30 times. This can be expressed as
P(X > 15) = P(X = 16) + P(X = 17) + ... + P(X = 30)
Using the same binomial distribution formula as before, we can calculate each term in this sum and add them up:
P(X > 15) ≈ 0.0732
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The give question is incomplete, the complete question is:
On an American roulette table, there are 38 squares that correspond to 38 slots in the roulette wheel. you can bet on single squares or combinations of squares. each square has a number and a color. eighteen of the squares are red, 18 are black, and 2 are green. one thing you can do is bet red (or black), and it pays even money. (you risk $1, but if the roulette lands on any red space, you get back your $1 plus $1 in winnings.) if you play 30 times, betting $1 on red each time, what is the probability you will come out ahead?
Determine the equation of the cirele with center (-3, - 7) containing the point (-12, -19).
The equation of the circle with center (-3, -7) and containing the point (-12, -19) is ( x + 3 )² + ( y + 7 )² = 225.
What is the equation of the circle?The standard form equation of a circle with center (h, k) and radius r is:
(x - h)² + (y - k)² = r²
Given that; the circle has a center of (-3, - 7) and containing the point (-12, -19).
First, find the radius of the circle using the distance formula.
r = √( (x₂ - x₁)² + (y₂ - y₁)² )
Plug in the points
r = √( ( -12 - (-3) )² + ( -19 - (-7) )² )
Simplify
r = √( ( -12 + 3 )² + ( -19 + 7 )² )
r = √( (-9)² + (-12)² )
r = √( 81 + 144 )
r = √( 225 )
r = 15
Next, plug the center (-3, -7) and radius 15 into the formula for equation of the circle:
(x - h)² + (y - k)² = r²
(x - (-3) )² + (y - (-7) )² = 15²
( x + 3 )² + ( y + 7 )² = 225
Therefore, the equation of the circle is ( x + 3 )² + ( y + 7 )² = 225.
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PLEASE HELPP!!
A hollow cylinder (empty from inside) is obtained rotating a 2D figure about the axis h, as shown in the image.
h
Which 2D figure was rotated to obtain the hollow cylinder?
Check the picture below.
An actor invested some money at 9% simple interest, and $49,000 more than three times the amount at 10%. The total annual interest earned from the investment was $38,440. How much did he invest at each amount?
An actor invested some money at 9% simple interest, and $49,000 more than three times the amount at 10%. The total annual interest earned from the investment was $38,440. Then, the actor invested $307,000 at 10% simple interest.
Let's use the following variables to represent the amounts invested;
x; amount invested at 9% simple interest
3x + 49000: amount invested at 10% simple interest (as it is $49,000 more than three times the amount invested at 9%)
We know that the total annual interest earned from the investment was $38,440, so we can set up the following equation;
0.09x + 0.1(3x + 49000)
= 38440
Simplifying and solving for x, we get;
0.09x + 0.3x + 4900 = 38440
0.39x = 33540
x = 86000
So the actor invested $86,000 at 9% simple interest. Using this value, we can calculate the amount invested at 10%;
3x + 49000 = 3(86000) + 49000
= 307000
Therefore, the actor invested $307,000 amount.
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whats the integers of
-17-(25)=?
The result integer is given by, -17 - (25) = -42.
The sign rules to do integer operation are:
The product of positive and positive gives a positive. The product of positive and negative gives a negative. The product of negative and positive gives a negative. The product of negative and negative gives a positive.Given the integer operation is,
- 17 - (+25)
= - 17 - 25 [Since the product of positive and negative signs gives negative]
= - (17 + 25) [Taking -1 as common]
= - 42
Hence the required integer is given by - 42.
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a carpenter is making doors that are 2058.0 millimeters tall. if the doors are too long they must be trimmed, and if they are too short they cannot be used. a sample of 25 doors is made, and it is found that they have a mean of 2045.0 millimeters with a standard deviation of 20.0 . is there evidence at the 0.1 level that the doors are either too long or too short? assume the population distribution is approximately normal. is there sufficient evidence to support the claim that the doors are either too long or too short?
In the result of hypothesis testing, p-value < 0.1, so null hypothesis can't be rejected. Therefore, there is no evidence to support the claim that doors are either too long or too short.
We have, a carpenter is making doors, The height of door = 2058.0 millimeters. Consider a sample of doors with sample size, n = 25
Sample mean, μ = 2045 mili meters
Standard deviations, σ = 20
Level of significance, α = 0.1 for either too long or too short. Here, we considered population distribution is approximately normal. Using the hypothesis testing for support the claim, the null and alternative hypothesis are defined as
[tex]H_o: \mu = 2058[/tex]
[tex]H_a: \mu ≠ 2058[/tex]
Now, we z-test to determine test statistic value,
[tex]Z =\frac{ X - \mu}{\sigma}[/tex]
Substitute all known values in above formula,
[tex]=\frac{ 2045 - 2058}{20}[/tex]
= - 0.65
Using the normal distribution table the value of P value for z = - 0.65 is equals to 0.257846. So, p-value =0. 257846> 0.01.
Hence, the claim is not true.
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Kara's teacher divides her class of 20 students into 4 equally sized teams: the red team, the yellow team, the green team, and the blue team. She assigns each student to a team. What is the probability that Kara is on the red team?
The probability of Kara is on the red team among all four equally sized team is given by 0.03%.
Total number of students in class = 20
Number of equally sized team = 4
Since there are 4 equally sized teams and 20 students,
There are 20/4 = 5 students on each team.
Since each student is equally likely to be assigned to any of the four teams.
The probability of Kara being on the red team is ,
= Ratio of number of ways she can be assigned to red team to total number of possible assignments.
The number of ways Kara can be assigned to the red team is 5 since there are 5 students on the red team.
Total number of possible assignments is the number of ways to choose 5 students out of 20.
= ²⁰C₅
= 20! / (5! × 15!)
= 15,504
The probability that Kara is on the red team is,
⇒ P(Kara is on the red team) = 5/15,504
⇒ P(Kara is on the red team) ≈ 0.0003225
⇒ P(Kara is on the red team) ≈ 0.03%.
Therefore, the probability of the Kara is on the red team is equal to 0.03%.
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solve for X and y simultaneous
4x-3y=11
X+5y=-11
Answer:
[tex]1.\\x=\frac{11}{4} \\y=-\frac{11}{3} \\2.\\x=-11\\y=-\frac{11}{5}[/tex]
Step-by-step explanation:
PLEASE HELP!!!!
Complete the frequency table:
Method of Travel to School
Walk/Bike | Bus | Car | Row totals
Under age 15 | 0 | 0| 18| 165
Age 15 and above | 65 | 0 | 0| 195
Column totals | 152 | 110 | 98 |360
What percentage of students age 15 and above travel to school by bus? Round to the nearest whole percent.
A. 36%
B. 26%
C. 45%
D. 50%
Use the t-formulas to prove the following:
tan(1/2 x + pi/4) + tan(1/2 x - pi/4) = 2tanx
Answer:
m
Step-by-step explanation:
Coverage
2. $100,000/$150,000
Amounts Due Victims
$110,000; $60,000; $103,000
The land should be recorded at $52,000.
We are given that;
Amounts Due Victims = $110,000; $60,000; $103,000
Now,
Step 1: Find the total market value of the land and the building
The land is appraised at $100,000 and the building at $150,000, so the total market value is:
$100,000 + $150,000 = $250,000
Step 2: Divide the market value of each component by the total market value to get the percentage of each component
The percentage of the land is:
$100,000 / $250,000 = 0.4 or 40%
The percentage of the building is:
$150,000 / $250,000 = 0.6 or 60%
Step 3: Multiply the percentage of each component by the purchase price to get the allocated cost of each component
The allocated cost of the land is:
0.4 x $130,000 = $52,000
The allocated cost of the building is:
0.6 x $130,000 = $78,000
Therefore, by algebra the answer will be $52,000.
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Chen is building a ramp for his remote control car. He wants the end of the ramp to extend 4 feet from the base of the ramp. The base of the ramp is 18 inches high. How long should the piece of wood for the ramp be?
The piece of wood for the ramp should be about 4.27 feet long using Pythagorean theorem.
Define Pythagorean theorem ?
The Pythagorean theorem is a fundamental concept in mathematics that describes the relationship between the sides of a right-angled triangle. It states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the adjacent and opposite sides).
We can use the Pythagorean theorem to find the length of the ramp.
First, we need to convert the height of the ramp from inches to feet:
18 inches = 1.5 feet
Let x be the length of the ramp in feet. Then, according to the Pythagorean theorem:
[tex]x^2 = 4^2 + 1.5^2[/tex]
[tex]x^2 = 16 + 2.25[/tex]
[tex]x^2 = 18.25[/tex]
x ≈ 4.27
Therefore, the piece of wood for the ramp should be about 4.27 feet long.
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Virginia Posted a blog cool and kept track of how many people visited the page by the end of the first day the blog had 3 views and by the end of the third day it had received 27 views
A blog is an online platform where we go to receive information that is neither too informal nor too formal. The difference between blog writing and academic writing are;
A blog can include informal language.
A blog can be written in first-person point of view.
A blog includes personal and emotional details.
Academic writing is a very formal style of writing where only facts are presented.
A blog is most times meant for entertainment. Its content could be informal. It uses the first-person point of view. Words such as I, Myself, We, etc., are used.
It is also subjective as the emotions of the author can be reflected in the text. Therefore, options B, D, and F are correct.
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complete question
How is writing a blog different from academic writing? Select three answer options. A blog is written in third-person point of view. A blog can include informal language. A blog uses formal language and structure. A blog can be written in first-person point of view. A blog is written with an objective viewpoint. A blog includes personal and emotional details.
Find surface area and volume it's worth 50 points
The surface area and volume of the prism is 204 in ²
What is surface area of prism?A prism is a solid shape that is bound on all its sides by plane faces.
The surface area of the prism is calculated as ;
side 1 = 6 × 8
= 48 units²
side 2 = 48 in²
side 3 = 1/2( a+b) h
= 1/2 ( 2+10) 3
= 1/2 × 12 × 3
= 6 × 3
= 18 in²
side 4
= 18 in²
side 5
= 6 × 10
= 60 in²
side 6
= 6 × 2
= 12 in²
Surface area = 48+48+18+18+60+12
= 204 in²
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reflected over y-axis, x-axis, or neither
1. B (-3,-7) B' (-7,-3)
2. D (5,-8) D' (5,8)
3. F (10,0) F' (-10,0)
pls hurry
Answer:
1. neither
2. x axis
3. y axis
Step-by-step explanation:
Danielle ordered $118.75 worth of food for a party and had it delivered. She gave the delivery person a 25% tip. What is the total cost of the food with delivery, to the nearest cent?
Total cost of the food with delivery for Danielle is given by approximately $ 29.69.
Danielle ordered food for a party which costs = $118.75
Now she also gave the delivery person a 25% tip.
So the amount of tip which she paid to the delivery person is given by
= 25 percent of the amount $118.75
= 25% of the amount $118.75
= $(118.75*(25/100))
= $(118.75*(1/4)) [eliminating the similar terms from the numerator and denominator of the fraction 25/100]
= $ 29.6875
= $ 29.69 [Rounding off to the nearest cent]
Hence the total cost of food with the delivery is $ 29.69.
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Convert 0.009m to milli meters
Answer:
0.009 meters is equal to 9 millimeters.
solve the simultaneous equation:
2x+3y=13
4x-y=-2
Answer:
x=1/2, y=4
Step-by-step explanation:
2x+3y=13
or,y=(13-2x)/3 ........eq(i)
4x-y=-2
or,y=4x+2 ..............eq(ii)
From eq(i) and (ii),
(13-2x)/3=4x+2
or,13-2x=12x+6
or,13-6=12x+2x
or,7=14x
or,x= 7/14
x=1/2
y=4×(1/2)+2
y=4
What is the approximate circumference of a circle that has a radius of 90? Use 3.14 for π and express your answer to the tenths place. fill in the blank
__
Answer:
565.2
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi * r
C = 2 * (3.14) * 90
C =565.2
Answer:
565.2
Step-by-step explanation:
Given,
Radius ( r ) = 90
π = 3.14
To find : Circumference of a circle
Formula
Circumference of a circle = 2πr
Circumference of a circle
= 2 x 3.14 x 90
= 6.28 x 90
= 565.2
how the value of x is applied ?
justify your answer
a state accounting process in brief
At a high school football game, Mike bought 4 soft pretzels and 4 bottles of water for $15. Ling bought 3 soft pretzels and 2 bottles of water for $10. What is the cost of each item?
If Mike bought 4 "soft-pretzels" and 4 bottles of water for $15, Ling purchased 3 "soft-pretzels" and 2 bottles of water for $10, the each "soft-pretzels" cost $2.5 and each "water-bottle" cost 1.25.
Let the cost of a "soft-pretzel" be = $x and
Let the cost of a bottle of water be = $y,
We know that, Mike purchased 4 "soft-pretzels" and 4 bottles of water for $15,
Ling purchased 3 "soft-pretzels" and 2 bottles of water for $10,
So, the equations are :
⇒ 4x + 4y = 15 ...(1)
⇒ 3x + 2y = 10 ...(2)
We solve this by using substitution method:
Solving equation (2),
We get,
⇒ 3x + 2y = 10,
⇒ x = (10 - 2y)/3,
Now we substitute this expression for "x" in equation(1),
⇒ 4x + 4y = 15,
⇒ 4[(10 - 2y)/3] + 4y = 15,
⇒ y = 5/4,
Substituting this "y" into equation(2),
We get,
⇒ 3x + 2y = 10,
⇒ 3x + 2(5/4) = 10,
⇒ x = 5/2 = 2.5,
Therefore, cost of a soft pretzel is $2.5 and cost of a bottle of water is $1.25.
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Dessie has 2 hours of free time. She spent 20 minutes completing her reading assignment, 25 minutes working on a craft, and the remaining amount of time playing outside. What percent of her time was spent playing outside?
Answer:
Step-by-step explanation:
If a < 0 and b > 0, then the point (a, b) is in Quadrant...
A. I
B. II
C. III
D. IV
Answer:
The point (a, b) would be in Quadrant III, where both the x-coordinate and y-coordinate are negative.
Please solve this as soon as possible!
The values of the trigonometric identities are;
sin θ = 4/5 = 0. 800
cos θ = 3/5 = 0. 600
tan θ = 4/3 = 1. 333
How to determine the valuesThere are six trigonometric identities;
sinecosinetangentcotangentsecant cosecantFor the secant identity, we have the ratio;
sec θ = hypotenuse/adjacent
Then, using the Pythagorean theorem, we have the the square of the hypotenuse is equal to the sum of the squares of the other two sides, then
5² = 3² + x²
x² = 25 - 9
x²= 16
find square root
x = 4
For the value of sin θ
sin θ = 4/5 = 0. 8000
For cosine ratio
cos θ = 3/5 = 0. 6000
for tangent ratio
tan θ = 4/3 = 1. 333
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a coin is to be tossed 1000 times. what is the probability that the 785th toss is heads? group of answer choices 0 1/4 1/2 3/4 1
A coin is to be tossed 1000 times, the probability that the 785th toss is heads is 1/2.
Hence option c is the correct answer.
A coin is to be tossed 1000 times and the probability of the outcome to be Heads oor Tails is recorded accordingly.
Probability of an event refers to the possibility of the event to occur or in other words, how likely is tthe event to occur. Probability ranges from 0 to 1 as number and 0% to 100% as percentage.
Probability can be calculated with the formula as,
Probability of an event to occur = (Nmber of favourable outcomes) / (Total number of outcomes possible)
Here, when tossing a coin we have two outcomes, Heads and Tails
The number of favourable outcome, that is the outcome is Heads is 1.
Thus the probability that the outcome is a Head = 1/2
When a coin is tossed for 785th time the probability that the head will come up = 1/2 (assuming that the coin is unbiased).
The probability remains unchanged for tossing the coin for the first time and for the 785th time since no number of times the coin is tossed the number of favourable outcome is 1 and total outcomes is 2.
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The square shown is dilated by a factor of 2. What is the area, in square units, of the dilated square?
Answer:
18
Step-by-step explanation:
To solve this problem, you could either do this two ways: solve for x immediately and then multiply it by 2, or you could multiply the equation by two and solve for x.
I will be using the first option.
Step 1: Solve for x
[tex]-2x+7=-4x+11\\\\[/tex] - We can set these equal to each other because a square has all sides congruent, which means that this side and all the others are equal to each other
[tex]-2x+2x+7=-4x+2x+11\\\\7=-2x+11[/tex]- We add 2x to both sides so we can isolate all the variables on one side and all the constants on one
[tex]7-11=-2x+11-11\\\\-4=-2x[/tex]- We do this so all the constants are on one side
[tex]\frac{-4}{-2}=\frac{-2x}{-2} \\\\2=x[/tex]- We divide by the coefficient of x so that we can fully isolate it
So now we have what x is, so we have to reinsert x into the equations and multiply it by itself to find the original area, after that we multiply it by 2.
[tex]-2x+7\\\\-2(2)+7\\\\-4+7\\\\3*3=9\\\\9*2=18[/tex]
Algebrai expression (1+2)1-4)
Answer:
-9
Step-by-step explanation:
(1+2)1-4)
(3) - 3
-9
table below shows the frequency of each outcome.
Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4
Determine the experimental probability of drawing a heart.
0.13
0.25
0.35
0.70
The experimental probability of drawing a heart is 0.35
Determining the experimental probability of drawing a heart.From the question, we have the following parameters that can be used in our computation:
Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4
This means that
P(Heart) = Heart/Total
So, we have
P(Heart) = 7/(7 + 3 + 6 + 4)
Evaluate
P(Heart) = 0.35
Hence, the probability is 0.35
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