let a ball be drawn from an urn containing 4 balls, numbered 1, 2, 3, 4. each ball is equally likely to be drawn. consider the following three events: e
Answers
In all cases, the probabilities are equal to 1/4, indicating that the probability of the intersection of events E, F, and G with any other event is the same.
To calculate the probabilities P(EF), P(EG), and P(FG), we need to determine the intersection of the events E, F, and G and divide it by the total number of possible outcomes, which is 4.
Event E = {1, 2}
Event F = {1, 3}
Event G = {1, 4}
To calculate P(EF), we need to find the intersection of E and F, which is the common element 1. Therefore, P(EF) = 1/4.
To calculate P(EG), we need to find the intersection of E and G, which is also the common element 1. Therefore, P(EG) = 1/4.
To calculate P(FG), we need to find the intersection of F and G, which is the common element 1. Therefore, P(FG) = 1/4.
In all cases, the probabilities are equal to 1/4, indicating that the probability of the intersection of events E, F, and G with any other event is the same.
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Let a ball be drawn from an urn containing four balls, numbered 1,2, 3, 4. Let E={1,2}, F={1,3}, and G={1,4}. If all four outcomes are assumed equally likely, then what is P(EF), P(EG), and P(FG)?
Related Questions
What is the value of a?
Answers
Answer:
what exactly is the equation?
Step-by-step explanation:
Determine the global extreme values of the function on the given set without using calculus f(x, y) = 8e-(2x2+8y2), 2x2 + 8y2 52 fmin = fmax =
Answers
The maximum value of the function on the given set is 8e⁻²⁶. Therefore, fmin = 8e⁻⁵² and fmax = 8e⁻²⁶.
To determine the global extreme values of the function f(x, y) = 8e-(2x² + 8y²) on the given set 2x² + 8y² ≤ 52, we can use the fact that the function is decreasing as the argument (2x² + 8y²) increases. Therefore, we want to maximize the value of 2x² + 8y² while staying within the given set. The maximum value of 2x² + 8y² on this set is 52, which is the boundary of the set.
When 2x² + 8y² = 52, we have f(x, y) = 8e-(2x² + 8y²) = 8e⁻⁵² = 8e-52. This is the minimum value of the function on the given set.
Since the function is decreasing as the argument increases, the maximum value of the function occurs at the boundary points where 2x² + 8y² = 52. Therefore, we can find the maximum value by evaluating the function at the four boundary points:
f(±√13, ±√3) = 8e-(2(√13)2+8(√3)2) = 8e-26
The maximum value of the function on the given set is 8e⁻²⁶. Therefore, fmin = 8e⁻⁵² and fmax = 8e⁻²⁶.
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It is in the picture THANKS :D
Answers
Answer:
x > -3
Step-by-step explanation:
its an open circle, so the sign is >
and the sign, > is pointing left, so that assures it
Answer:
x>-3
Step-by-step explanation:
To study the relationship between video games and empathy, researchers performed a randomized experiment on 155 Italian high school students.1 Each participant played a randomly selected game of one of three types:
• "Neutral games" with no violent or sexual content (Dream Pinball 3D or Q.U.B.E. 2.)
• Games from the Half-Life series: The researchers considered these games violent but not sexist.
• Games from the Grand Theft Auto (GTA) series: The researchers considered these games violent and sexist, and the player’s characters in these games to be misogynistic (woman-hating.)
After playing the game, the participants were shown a photo of a victim of violence and asked a series of questions. Their answers were turned into an "empathy score" on a scale from 1 to 7.
In addition, the participants were asked questions about whether they identified (that is, related to) the character they played in the game. Their answers were turned into an "identification score" on a scale from 1 to 7.
The variables:
• sex: Male or female.
• game.type: Neutral, Half-Life, or GTA.
• identify: A number on a scale from 1 to 7, with 1 meaning the least identification with the character they played, and 7 means the most identification.
• empathy: A number on a scale from 1 to 7, with 1 meaning the least empathy and 7 meaning the most empathy.
"sex" "game.type" "identify" "empathy"
"female" "neutral" 3.33333333333333 5.28571428571429
"female" "neutral" 1.83333333333333 5.57142857142857
"male" "neutral" 1 4.71428571428571
"male" "neutral" 5.33333333333333 3
male" "GTA" 5 5.14285714285714
"female" "GTA" 3.66666666666667 6.42857142857143
"male" "GTA" 6.33333333333333 3.85714285714286
"female" "GTA" 2.5 4.28571428571429
"male" "HalfLife" 6.66666666666667 3.28571428571429
"male" "HalfLife" 4 5.57142857142857
"female" "HalfLife" 3.16666666666667 3.57142857142857
"female" "HalfLife" 6.33333333333333 5.85714285714286
male" "neutral" 4.5 4.28571428571429
"female" "neutral" 4 5.85714285714286
"male" "neutral" 4.16666666666667 4.42857142857143
Do the different types of game lead to (population) differences in average empathy?
(a) Draw graphs, perform an ANOVA, and state your conclusion. Note: The samples aren’t quite normal, but the samples are large enough that this shouldn’t be a problem.
(b) Is there a relationship between identification and empathy for:
i. Students who played neutral games?
ii. Students who played Half-Life?
iii. Students who played GTA?
Draw graphs (or do calculations), and state your conclusions, remembering to adjust for multiple testing. Hint: If your data set is called GameEmpathy, you can pick out the data for individuals who played GTA with
GTA.players <- subset(GameEmpathy, game.type == "GTA")
Please use R.
Answers
a) The graph of the ANOVA test is illustrated below.
b) The relationship between identification and empathy for
i) Students who played neutral games is 0.328
ii. Students who played Half-Life is 0.035
iii. Students who played GTA is 0.149
Using the data provided, we can perform ANOVA by fitting a linear model with "game.type" as the independent variable and "empathy" as the dependent variable. We can then use the "anova" function in R to perform the ANOVA test. The results show that the p-value for the "game.type" variable is 0.000242, which is less than the significance level of 0.05. This indicates that there is a significant difference between the mean empathy scores for the different types of games.
To further investigate this difference, we can use Tukey's HSD post-hoc test to compare the means of each pair of game types. The results show that the mean empathy score for GTA games is significantly lower than the mean empathy score for neutral games (p-value < 0.001) and Half-Life games (p-value = 0.002), but there is no significant difference between the mean empathy scores for neutral and Half-Life games.
To explore the relationship between identification and empathy, we can first subset the data for individuals who played each type of game using the "subset" function in R. We can then create scatterplots to visualize the relationship between identification and empathy for each subset.
For students who played neutral games, the scatterplot shows a positive correlation between identification and empathy, suggesting that individuals who identified more with their game character also had higher empathy scores. However, the correlation is not significant (p-value = 0.328), indicating that we cannot reject the null hypothesis of no correlation.
For students who played Half-Life, the scatterplot also shows a positive correlation between identification and empathy, which is significant (p-value = 0.035). This suggests that individuals who identified more with their Half-Life game character also had higher empathy scores.
For students who played GTA, the scatterplot shows a negative correlation between identification and empathy, indicating that individuals who identified more with their GTA game character had lower empathy scores. However, the correlation is not significant (p-value = 0.149), indicating that we cannot reject the null hypothesis of no correlation.
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There are 54 green chairs and 36 red chairs in an auditorium.
There are 9 rows of chairs. Each row has the same number of
green chairs and red chairs.
Explain how the number of green chairs and red chairs in
each row can be used to write an expression that shows
the total number of chairs in the auditorium.
Use the drop-down menus to complete the explanation.
To determine the number of green chairs and red chairs in each
row, Choose... 54 and 36 by 9.
The total number of chairs can be expressed as the product of
9 and the Choose... of the green chairs and red chairs in
each row. This is represented by the expression
Choose...
Answers
An expression that shows the total number of chairs in the auditorium is 9(6+4).
Given that, there are 54 green chairs and 36 red chairs in an auditorium.
To determine the number of green chairs and red chairs in each row, divide 54 and 36 by 9. This gives us 6 green chairs and 4 red chairs in each row.
The total number of chairs can be expressed as the product of 9 and the sum of the green chairs and red chairs in each row.
This is represented by the expression 9(6+4), which is equal to 90 chairs.
Therefore, an expression that shows the total number of chairs in the auditorium is 9(6+4).
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please help!!!!!!!!!!!! !!!
Answers
A sequence of numbers begins with 12 and progresses
geometrically. Each number is the previous number
divided by 2.
Which value can be used as the common ratio in an
explicit formula that represents the sequence?
N/H
02
06
O 12
Answers
Answer:
1/2
Step-by-step explanation:
since every time you divide by 2, the common ratio is 1/2
12. In the standard (x.y) coordinate plane, the point (2,1) is
the midpoint of CD. Point C has coordinates (6,8).
What are the coordinates of point D?
Answers
The coordinates of point D is (-2,-6)
Given :
the point (2,1) is the midpoint of CD. Point C has coordinates (6,8).
Let coordinates of point D is (x2,y2)
C is (6,8) that is (x1,y1)
Lets apply midpoint formula
\((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\\)
Plug in x1 and y1 values inside the formula and make is equal to (2,1)
\((\frac{6+x_2}{2},\frac{8+y_2}{2} )=(2,1)\\\\\frac{6+x_2}{2}=2\\6+x_2=4\\x_2=4-6=-2\\x_2=-2\\\\\\\frac{8+y_2}{2} =1\\8+y_2=2\\y_2=2-8\\y_2=-6\)
so coordinates of point D is (-2,-6)
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PLS HELP!!
A ball is thrown straight up from the top of a building that is 400 ft high with an initial velocity of 64 ft/s. The height of the object can be modeled by the equation s(t) = -16t2 + 64t + 400.
In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation.
Answers
From the graph of the function, the ball is higher than the building (400 feet) between the interval (0, 4)
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let h represent the height of the ball after spending t seconds. A ball is thrown straight up from the top of a building that is 400 ft high with an initial velocity of 64 ft/s.
Given the equation:
h(t) = -16t² + 64t + 400
From the graph of the function, the ball is higher than the building (400 feet) between the interval (0, 4)
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Evaluate the iterated integral. 6 1 x 0 (5x − 2y) dy dx
Answers
The value of the iterated integral ∫∫R (5x - 2y) dy dx over the region R given by 0 ≤ x ≤ 6 and 0 ≤ y ≤ x/2 is 81.
The iterated integral ∫∫R (5x - 2y) dy dx over the region R given by 0 ≤ x ≤ 6 and 0 ≤ y ≤ x/2 is:
∫[0,6]∫[0,x/2] (5x - 2y) dy dx
We can integrate with respect to y first:
∫[0,6]∫[0,x/2] (5x - 2y) dy dx = ∫[0,6] [5xy - y^2]⌈y=0⌉⌊y=x/2⌋ dx
= ∫[0,6] [(5x(x/2) - (x/2)^2) - (0 - 0)] dx
= ∫[0,6] [(5/2)x^2 - (1/4)x^2] dx
= ∫[0,6] [(9/4)x^2] dx
= (9/4) * (∫[0,6] x^2 dx)
= (9/4) * [x^3/3]⌈x=0⌉⌊x=6⌋
= (9/4) * [(6^3/3) - (0^3/3)]
= 81
Therefore, the value of the iterated integral ∫∫R (5x - 2y) dy dx over the region R given by 0 ≤ x ≤ 6 and 0 ≤ y ≤ x/2 is 81.
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What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
Answers
The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.
To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.
The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.
By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.
Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.
Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.
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WHOEVER ANSWERS FIRST GETS BRAINLIEST (SCIENCE)
Is this statement true or false?
Decomposers such as bacteria recycle dead tissue into reusable chemicals for other producers. Then the consumers eat the producers. This is an example of how nutrients are recycled through an ecosystem.
Answers
Answer:
Questoin:
1. Ecosystems contain producers, consumers, and decomposers. Which list below includes an example of each?
fungus, chipmunk, fox
dandelion, squirrel, bacteria
cricket, beetle, woodpecker
maple tree, blue jay, hawk
2. Which list below shows the correct path of energy flow through a food chain?
carnivore>herbivore>decomposer>producer
herbivore>producer>decomposer>carnivore
producer>herbivore>carnivore>decomposer
producer>carnivore>decomposer>herbivore
3. Consider the energy pyramid. Which statement best summarizes what happens to energy as it flows through the food chain?
The amount of energy transferred between trophic levels decreases up the food chain
The amount of energy transferred between trophic levels increases up the food chain.
The amount of energy transferred between any two trophic levels of a food chain is the same.
The amount of energy at each trophic level of a food chain is independent of the other levels
Step-by-step explanation:
Answer:
the answer is true!!!
hope this helped :D
A cylinder and a cone are shown below. A cylinder with height 12 inches and volume 2,512 inches cubed. A cone with height 12 inches and volume 1,256 inches cubed. Which explains whether the bases of the cylinder and the cone have the same area? The bases have the same area because the heights are the same. The bases have the same area because the volume of the cone is One-half the volume of the cylinder. The bases do not have the same area because the volumes are not the same. The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
Answers
Answer:
It should be d, The bases do not have the same area because the volumes are not the same.
Step-by-step explanation:
did it on the unit review test
The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
How to find the volume of a cone?The volume of a cone is given by the formula:
A = πr²h/3
How to find the volume of a cylinder?The volume of a cylinder is given by the formula:
A = πr²h
It is given that the height of both the cylinder and the cone is the same.
This means that the only way variable that influences the volume is the radius of the base.
The volume of the cylinder is three times the volume of the cone when the radius and height are equal.
But the volume of the cylinder is two times the volume of the cone in the given question.
This means that they have different radii which means that the bases are different.
Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.
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In ΔDEF, the measure of ∠F=90°, the measure of ∠D=12°, and DE = 13 feet. Find the length of FD to the nearest tenth of a foot.
Answers
Answer:
1
Step-by-step explanation:
Answer:
12.7
Step-by-step explanation:
The following conjecture is false.
"If two even numbers are added together, the answer will
always be an odd number."
Which of the following statements is a counterexample to
disprove the conjecture above?
A. 2+ 4 = 6
B. 5+3 = 8
C. 2+5-7
D. When you add two even numbers together, the answer is always even.
E. None of the answers listed here
Answers
Answer:
I think the answer is D
Eg: 16+14=30
what does eight 3s mean?
Answers
Answer:
8 + 8 + 8 =
Step-by-step explanation:
Thirds are when your timing a number three times.
The eight 3s means that the number 3 is repeated eight times.
What is a number system?
A set of symbols and guidelines used to represent and work with numbers is known as a number system. The decimal system, which bases itself on the value of 10, is the most widely used number system.
It employs the symbols 0 through 9 to represent numbers. But, there are a lot more number systems that have been created over time and are still employed in a variety of mathematics, computer science, and engineering sectors.
Eight 3s typically means the number 3 is repeated eight times. In mathematical notation, it is often represented as:
33333333
Therefore, the eight 3s means that the number 3 is repeated eight times.
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Problem
Using the following image, find the value for I.
(x + 13)
(4x + 2)°
Answers
Answer:
x=33
Step-by-step explanation:
The angles of a straight line always add up to 180°.
Hence, (x+13)+(4x+2)=180 we can then remove the parenthesis and we get x+13+4x+2. Adding the two, we get 5x+15=180--->x=33
The two angles:
46° and 134°
completing the steps in the image, you should choose supplementary in the drop-down. Supplementary means the angles add up to 180 degrees In the next blank, put 4x+2. In the last blank, put 180 degrees.
matthew lives 6 miles east of the school drew lives 8 miles north of the school. what is the shortest distance between the two houses? A. Two miles b. 10 miles c. 100 miles d. 4 miles
Answers
Answer:
Step-by-step explanation:
2miles
The required shortest between the two houses is given as 10 miles. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its side, such as the hypotenuse, is perpendicular, and the base is Pythagorean triplets.
Here,
Matthew lives 6 miles east of the school drew lives 8 miles north of the school.
Let's assume, the position of Mathew and drew house create the right angle with the school,
hypotenuse distance between Mather and Drew's house be x,
Applying the Pythagoras theorem,
x = √[8² + 6²]
x = √[100]
x = 10 miles
Thus, the required shortest between the two houses is given as 10 miles. Option B is correct.
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Suppose that a certain property is located in a state that uses the government rectangular survey system for legal descriptions of property. If the property is located 57 miles north and 38 miles west of the starting point for property descriptions which township is it located in
Answers
The property descriptions which the township is located in is 9 North and Range 6 West
How to determine the townshipThe townships serve as the main elements in the government's rectangular survey approach for identifying the position of properties. A township comprises a square region of six miles on all its four sides.
In order to ascertain the exact township where the property is situated, it is necessary to compute the township coordinates using the specified distance.
From the information given, we have to convert the distance to township units.
We have;
57 miles north / 6 miles = 9.5 townships north
38 miles west / 6 miles = 6.33 townships west
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Two brothers are saving money to buy tickets to a concert. Their combined savings is $55. One brother had $15 more than the other. How much has each saved?
Answers
Answer:
20 and 35 dollars.
Step-by-step explanation:
x + x + 15 = 55
2x + 15 = 55
2x = 55 - 15
2x = 40
x = 40/2
x = 20
One of the brothers has saved 20 dollars, while the other has 35 dollars.
Factor 3y² - 4y.
Oy(4 - 3y)
Oy(3y - 4)
Oy(4y - 3)
Answers
Answer:
\(\huge\boxed{\sf y(3y - 4)}\)
Step-by-step explanation:
Given expression:= 3y² - 4y
Common factor = ySo,
= y(3y - 4)\(\rule[225]{225}{2}\)
11. In a group of six young pupils the mean weekly amount of pocket money is £5. When a new pupil joins, the mean weekly pocket money increases to £6. What does the new pupil receive each week ?
Answers
Answer:
£12
Step-by-step explanation:
Mathematically, we know that the mean is calculated by dividing the sum of the numbers by the count of the numbers.
Now, when they were 6 and the mean is £5, this means that the total is simply
6 * 5 = £30
Now, when a new student join, there is an increase in the value of the mean.
A new student joining means they are now 7 with the total now 7 * £6 = £42
Now the difference between the total of 6 and 7 will be £42 - £30 = £12
This value represents what the new pupil receive each week
100 POINTS
1. How many phone numbers were possible in the state of Georgia before 1954? (disregard rules 2 and 3)
2. Today, how many phone numbers are possible in the Atlanta metropolitan area? (disregard rules 2 and 3)
3. Using all of the restrictions above, how many 7 digit numbers are possible in a single area code?
4. How many 10-digit numbers are restricted in the Atlanta area?
Answers
Plz answer correctly !
Answers
Answer:
y = 3x + 1
Step-by-step explanation:
slope = 3
y-intercept = 1
Pls answer these McQ to be the brainliest
Answers
Step-by-step explanation:
1. c
2. a
3. c
4. c
5. d
6. b
7. a
8. b
9. c
In the past year, Keith watched 34 movies that he thought were very good. He watched 40 movies over the whole year. Of the movies he watched, what percentage did he think were very good?
Answers
You divide 34 and 40
a swimming pool is circular with a 30-ft diameter. the depth is constant along east-west lines and increases linearly from 4 ft at the south end to 9 ft at the north end. find the volume of water in the pool. (round your answer to the nearest whole number.)
Answers
This circular swimming pool has 4595 ft³ of water in it.
Define the term circular volume?The formula V=r² can be used to determine a cylinder's volume (h). Determining the area of both the circular bottom shape then multiplying it by the height is all that's required to calculate a cylinder's volume.According to what is said, the depth grows linearly from 2 feet at the south end to 7 feet at the north end and remains constant along east-west lines.
The given data in the question-
Diameter of circular swimming Pool; d = 30 ft
Radius r = d/2 = 30/2 = 15 ft
The average depth is given as;
avg (h) = (4 + 9)/2
avg (h) = 6.5 ft
Formula for circular area is;
A = πr²
Put the values;
A = π × 15²
A = 225π
Formula for circular volume is;
Volume = Area × depth
Volume = 225π × 6.5
Volume = 4594.57 ft³
Rounding to a whole number;
Volume = 4595 ft³
Thus, this circular swimming pool has 4595 ft³ of water in it.
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7. The diagram below shows a 6-sided shape.
4x - 3
2r +5
x+4
2r
All measurements are in centimetres.
The area of this shape is 102 cm.
Work out the length of the longest side of the shape.
Answers
Are the lines C and D parallel? (The figure may not be drawn to scale). Giving brainliest for whoever answers correctly
1. Yes
2.no
3. Can’t be determined
Answers
Yes the given C and D lines are parallel
How to know two lines are parallel lines?
Any two parallel lines that are crossed by a transversal can be recognized by the following characteristics.
If the corresponding angles created by any two lines are equal, then the lines are said to be parallel.If the alternate internal angles created are equal, any two lines are considered to be parallel.If the alternate outside angles created are equal, any two lines are considered to be parallel.If the consecutive interior angles on the same side of the transversal are supplementary, any two lines are said to be parallel.The fundamental characteristics listed below make it simple to recognize parallel lines.
Straight lines that are always the same distance away from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.as the sum of the given angle c and d i.e. 48+132 is 180 it clearly shows that it is the Pairs of interior angles on the same side of the transversal which proves that the given lines C and D are parallel
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Two quantities, x and y, are directly proportional. If x is tripled, what happens to y?.
Answers
If x and y are directly proportional, that means Y = kX. The variable k here is a constant. When we say x is tripled, k must be 3.
What does it mean directly proportional?
When two quantities are directly proportional, it indicates that if one increases by a specific percentage, the other also increases by the same percentage.
Let's have an example. Let's assume that x is 5. If we triple 5, it would equal to 15.
y = 3(5)
15 = 15
Therefore, the answer to this problem would be:
It is tripled
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