The issue with this model is that purchases with a cost of $30 appear to be negative, which is impractical in real-world situations.
This is due to the model's linear best fit line's potential for being inaccurate for the end points.
A linear probability model:
Purchasei = 1.7-0.06×pricei
For an increase in $20 in price,
Change in purchase = -0.06 × 20
change in purchase = -1.2
There would be 1.2 less purchase.
Purchase at price of $10 is:
Purchase 10= 1.7 ×0.06 × 10
Purchase 10 = 1.1
Purchase at price of $30 is:
Purchase 30 = 1.7 × 0.06 × 30
Purchase 30 = -0.1
This is the problem with this model that the purchases at price of $30 is coming as negative which is not possible in practical situation.
It is because that the linear best fit line of the model which might not be accurate for the end points.
Hence we get the required estimates here:
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Gregory gave a glass of water to each person at dinner. He puts more than 2 ice cubes in each glass . Each glass has the same number of ice cubes. How many ice cubes could Gregory use all.
The number of ice cubes that Gregory could use in all is; 15
How to solve Algebraic word problems?Algebraic word problems are defined as the questions that require translation of sentences into equations, and thereafter solving those equations. The variable in these usually represents an unknown quantity in a real-life scenario.
We are told that Greg gave a glass of water to each person at dinner. He put more than 2 ice cubes in each glass. Each glass had the same number of ice cubes.
More than 2 ice cubes tells us that there would be 3 cubes or 5 cubes especially when we consider the size of an ice cube.
Now from the given options, we see that only 15 is the number divided equally by 3 and 5.
Therefore, the total number of ice cubes will be 15.
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The missing options are;
A. 13
B. 15
C. 17
D. 19
Which equation is represented by the graph below?
Answer:
(4,2) may be the answer
I guess!!
In which cases of the following lengths of sides of a triangle, is it possible to
draw a triangle?
(а) 3 cm, 4 cm, 7cm (b) 2 cm, 3 cm, 7 cm c)2.5cm, 1.8cm, 4cm
By using Euclidean geometry, the set of side lengths 2.5 cm, 1.8 cm, 4 cm can form a triangle.
what is triangle inequality?The sum of the lengths of any two sides must be greater than the length of the third side.
a + b ≥ c
What is triangle?A triangle is a three-sided polygon with three straight sides. It is a basic geometric shape that is found in many areas of mathematics and geometry.
Using this rule, we can determine which of the given sets of side lengths can form a triangle:
(a) 3 cm, 4 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (3 cm + 4 cm = 7 cm) is equal to the length of the third side.
(b) 2 cm, 3 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2 cm + 3 cm = 5 cm) is less than the length of the third side.
(c) 2.5 cm, 1.8 cm, 4 cm: It is possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2.5 cm + 1.8 cm = 4.3 cm) is greater than the length of the third side.
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What is the circumcenter Theorem?
The circumcenter theorem states that the circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the sides of the triangle. In other words, the circumcenter is the center of a circle that passes through all three vertices of the triangle.
What is the circumcenter Theorem?The circumcenter theorem is a fundamental theorem in geometry and is used in the construction of the circumcenter of a triangle. The circumcenter is the point of intersection of the perpendicular bisectors of the sides of the triangle, and its coordinates can be determined by the coordinates of the triangle's vertices.
This theorem is useful in many applications, such as in: the construction of a triangle from its circumcenter, or in determining the distance between two points. It can also be used to determine the area of a triangle from its three vertices. The circumcenter theorem has been studied for centuries, and it is still an important tool for geometers and mathematicians today.
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Help me please. Your the best if you help.
Answer: x = 25, y=15, z = 58
Step-by-step explanation:
list the quantum numbers associated with all of the 5d orbitals, and indicate how many 5d orbitals exist in the sentences below.
The correct sentences here are n = 5, l = 2, ml = -2 , -1, 0 , +1 , +2. The 5 integer values for ml signify that there are 5 5d orbitals.
In the given question we have to list the quantum numbers associated with all of the 5d orbitals, and indicate how many 5d orbitals exist in the sentences below.
As we know that;
Quantum numbers are the collection of numbers used to represent the location and energy of an electron in an atom. The primary, azimuthal, magnetic, and spin quantum numbers are the four types of quantum numbers.
There are four different quantum numbers , principal , azimuthal , magnetic and magnetic spin quantum numbers . The correct sentences here are :
n = 5
l = 2
ml = -2 , -1, 0 , +1 , +2
The 5 integer values for ml signify that there are 5 5d orbitals.
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Which of the following is an example of bandwagon technique? a. Are you tired of thinking up new gifts every time you get a party invitation? b. Don't be the only person without a great gift at the next baby shower. c. Eleanor Roosevelt once complained about thinking of unique gifts.
Option B.
Don't be the only person without a great gift at the next baby shower.
What is the bandwagon technique?
It is a psychological phenomenon whereby the rate of uptake of beliefs, ideas, fads and trends increases with respect to the proportion of others who have already done so. As more people come to believe in something, others also "hop on the bandwagon" regardless of the underlying evidence.
Below are some examples of the Bandwagon Effect: Diets: When it seems like everyone is adopting a certain fad diet, people become more likely to try the diet themselves. Elections: People are more likely to vote for the candidate that they think is winning.
Hence , Don't be the only person without a great gift at the next baby shower is the correct answer .
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when adding an entry to a binary search tree, the search ends at a leaf if the entry is not already in the tree.
The statement " when adding an entry to a binary search tree, the search ends at a leaf if the entry is not already in the tree" is true.
A tree is a type of data structure made up of nodes and contains the following features:
1- Every tree has a root node (also known as a parent node) at the top that contains some value (can be any datatype).
2- There are 0 or more child nodes of the root node.
3- There are zero or more child nodes for each child node, and so forth. As a result, the tree gains a subtree. Each node has a separate subtree that consists of its offspring and their offspring, etc. This implies that any node can function as a tree on its own.
In addition, a binary search tree (BST) has the following two features:
1- Each node has a maximum of up to two children.
2-For each node, the values of its left descendent nodes are less than that of the current node, which in turn is less than the right descendent nodes (if any).
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complete the table to make sense of the rate. Us the table to help you answer the main question. Kim was able to make 10 snowflakes in 2/5 of an hour. How many snowflakes can she make in 1 hour? How many in 6 hours? Show work including graphing
The amount of snowflakes that she can make for each time is given as follows:
1 hour: 25 snowflakes.6 hours: 150 snowflakes.What is a proportional relationship?A proportional relationship is a special case of a linear function, with an intercept of zero, and is defined as follows:
y = kx.
In which the variables are given as follows:
y is the output variable.x is the input variable.k is the constant of proportionality.In the context of this problem, the input and the output variables are given as follows:
Input variable: Time in hours.Output variable: Amount of snowflakes.Kim was able to make 10 snowflakes in 2/5 of an hour, hence the constant is of:
k = 10/(2/5) = 10 x 5/2 = 25.
Thus the equation is of:
y = 25x.
Then the amounts are given as follows:
1 hour: 25 snowflakes as 25 x 1 = 25.6 hours: 150 snowflakes, as 25 x 6 = 150.More can be learned about proportional relationships at https://brainly.com/question/10424180
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Define the following propositions: W: the roads were wet a: there was an accident h: traffic was heavy Express each of the logical expressions as an English sentence: w = h W ^ a ~(a ^ h) h = (a v w) W ^ -n
The propositional logic is a statement logic which is a statement that can be either true or false.
The relevant propositions in this case are
W: The roads are wet
a: There was an accident
h: Traffic was heavy
w → h when converted into an english sentence is 'If the roads were wet then traffic was heavy.'
W ∧ a when converted into an english sentence is 'The roads are wet and there was an accident.'
~(a ∧ h) when converted into an english sentence is 'It is not true that there was an accident and traffic was heavy.'
h → (a ∨ W) when converted into an english sentence is 'If the traffic was heavy then there was an accident and the roads are wet.'
W ∧ ~h when converted into an english sentence is 'The roads are wet and the traffic was not heavy.'
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In the expression 5x6+3yr-7yz2+2y/z which of the following choices is the exponent in the term 5x6?
The exponent in the term 5x⁶ is of the expression 6
How to determine the exponent in the term?From the question, we have the following parameters that can be used in our computation:
Expression: 5x6+3yr-7yz2+2y/z
Rewrite the expression properly
So, we have the following representation
5x⁶ + 3yr - 7yz² + 2y/z
From the above expression, the spotlight is on the first term
i.e. 5x⁶
Considering an expression represented as axⁿ
Where x is a variable, the exponent is n
Using the above as a guide, we have the exponent of 5x⁶ to be 6
Hence, the exponent is 6
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-3(16x - 8)+3=123
solve for x
In a certain Algebra 2 class of 23 students, 11 of them play basketball and 13 of them
play baseball. There are 8 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
The probability that a student chosen randomly from the class plays both basketball and baseball is 39%.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given:
In a certain Algebra 2 class of 23 students, 11 of them play basketball and 13 of them play baseball.
There are 8 students who play neither sport.
Either (or both) sports = (23 - 8) = 15 students play
Both = [11 basketball and 13 baseball) - 15] = 9 must play both
Probability=9/23
Probability=0.39 or 39%
Hence, the probability that a student chosen randomly from the class plays both basketball and baseball is 39%.
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jennie charges $200 per passenger for a sunset sailing tour on her catamaran, while paul charges $250 per passenger. we can define the amount of money each person earns per cruise as a random variable. let a
According to the given charges, the mean of the sum would be as follows $1,692.5 and the difference of the amount of money earned by Jennie and Paul would be $-232.5
Mean:
In statistics, mean refers the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers
Given,
As Jennie charges $200 per passenger for a sunset sailing tour on her catamaran, while Paul charges $250 per passenger. we can define the amount of money each person earns per cruise as a random variable.
Here we need to find the mean and the difference of the amount of money earned by Jennie and Paul.
Let us consider x be the amount earned by Jennie and y be the amount earned by Paul.
While we looking into the given question , we have identified the value of the following,
=> Money earned by Jennie(A) = 200x
=> Money earned by Paul(B) = 250 X
Here the value of μ = $730 and σ = $ 192.62 for Jennie
And the value of Paul is μ = $962.5 and σ = $253.425
Then the mean of the sum is calculated as,
=> 730 + 962.5 = 1292.5
Similarly, the difference of the amount of money is calculated as,
=> -232.5
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Answer:
D) On average, Jennie makes $232.50 less than Paul in a typical cruise.
Step-by-step explantion
Nationwide, the mean value of farm land per acre is $2200, with a standard deviation of $400. The data has a bell-shaped distribution. Assume that a random sample of 80 farms is selected. Use the Empirical Rule to estimate the expected number of farms in the sample whose land value per acre is between $1800 and $2600. Round to the nearest whole number. Group of answer choices a.54 b.76 c.79 d.68
we get the expected number of farms in the sample whose land value per acre is between $1800 and $2600 is 59.
The Empirical Rule (or 3 sigma rule) states that for a normal distribution (bell shaped distribution) 68% of the data falls within one standard deviation (μ ± σ), 95% percent within two standard deviations (μ ± 2σ), and 99.7% within three standard deviations from the mean (μ ± 3σ).
Given that the mean (μ) = $2200, standard deviation (σ) = $400
a) The percentage of data within one standard deviation = μ ± σ = (2200 ± 400) = (1800, 2600)
Hence 68% of the land are between $1800 and $2600.
Number of farms = 68% × number of sample = 0.68 × 80 = 54.4 ≈ 54 farms
Hence we get the expected number of farms in the sample whose land value per acre is between $1800 and $2600 is 59.
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What is the zero of the function?
f(x)=x2−x−6/x2−8x+15
Rational Function: any function that is found by a rational fraction.
Its form: [tex]\frac{1}{x}[/tex]
Finding Zeros of a Rational Function:
Factor Numerator and denominator
[tex]f(x)=\frac{(x-3)(x+2)}{(x-5)(x-3)}[/tex]
2. Find restrictions by equating the denominator to 0
[tex]x-5=0[/tex] [tex]x-3=0[/tex] when x=-5 and 3, the function is undefined
[tex]x=-5[/tex] [tex]x=3[/tex]
3. Set the numerator equal to zero
[tex]x-3=0[/tex] [tex]x+2=0[/tex]
[tex]x=3[/tex] [tex]x=-2[/tex]
Be careful - since we have x-3 on both the numerator and denominator the graph will not intersect the x-axis at that point. This is what is called a removable discontinuity.
Therefore, the only zero occurs at (-2,0)
what is the value of n in the equation ? n = 0 n = 2 n = 4 n = 6; kate begins solving the equation 2/3(6x-3)=1/2(6x-4); what is the value of x in the equation ? 2 13; solve the equation. y + 3 = โy + 9 y = 1 y = 3 y = 6 y = 9; what value of x is in the solution set of 2x โ 3 > 11 โ 5x? โ3 0 2 4; what is the solution to the linear equation? + p = + p p = 1 p = 2 p = 8 p = 10; solve the equation. โ9x + 1 = โx + 17 x = โ8 x = โ2 x = 2 x = 8; which number line represents the solutions to โ2|x| = โ6?
1) The value of n is 2
2) The best interpretation of equation 2/3(6x – 3) =1/2 is the equation has one solution: x = 0
3) The solution to equation y + 3 = -y + 9 is y = 6
4) The value of x is 4
5) The solution to a linear equation 2/5 + p = 4/5 + 3/5p is p = 1
6) The solution to an equation - 9x + 1 = - x + 17 is x = -2
7) A number line represents the solutions to -2|x| = -6 is option 4
1) We have been given an equation 1/2(n-4) - 3 = 3 - (2n+3)
We need to find the value of n.
1/2(n - 4) - 3 = 3 - (2n+3)
1/2(n - 4) = -2n + 3
n - 4 = -4n + 6
5n = 10
n = 2
2) In this question Kate begins solving the equation 2/3(6x – 3) =1/2 as:
2/3(6x – 3) = 1/2(6x – 4)
4x – 2 = 3x – 2
4x = 3x
We need to find the best interpretation of this equation.
4x - 3x = 0
x=0
Thus, the best interpretation of this equation is the equation has one solution: x = 0
3) In this question we need to solve an equation y + 3 = -y + 9
y + y = 9 + 3
2y = 12
y = 6
4) In this question we need to find the value of x for an inequality 2x - 3 > 11 - 5x
2x - 3 > 11 - 5x
2x + 5x > 11 + 3
7x > 14
x > 2
As x > 2, the value of x is 4.
5) We need to find the solution to a given linear equation.
Consider a linear equation,
2/5 + p = 4/5 + 3/5p
p - 3/5p = 4/5 - 2/5
2/5p = 2/5
p = 1
Thus, the solution to a given linear equation is p = 1
6) In this question, we need to solve an equation - 9x + 1 = - x + 17
- 9x + x + 1 = - x + 17 + x
-8x = 17 - 1
-8x = 16
x = 16/(-8)
x = -2
7) In this question, we have been given an equation -2|x| = -6
Divide both sides by -2.
|x| = 3
The absolute value of x is 3. It means the value if is either 3 or -3.
In the given figure the blue dot represent the solutions of the given equation.
Only option 4 represent the solution at x=3 and x=-3.
Therefore the correct option is 4.
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Given questions are incomplete.
1) Find the complete question in attachment.
2) Kate begins solving the equation 2/3(6x – 3) =1/2 (6x – 4). Her work is correct and is shown below. 2/3(6x – 3) = 1/2(6x – 4) 4x – 2 = 3x – 2 When she adds 2 to both sides, the equation 4x = 3x results. Which is the best interpretation of this equation? The equation has infinite solutions. The equation has one solution: x = 0. The equation has one solution: x = 4/3. The equation has no solution.
3) Solve the equation. y + 3 = -y + 9
y = 1, y = 3, y = 6, y = 9
4) What value of x is in the solution set of 2x - 3 > 11 - 5x?
-3, 0, 2, 4
5) To better understand the problem see the attached figure.
6) Solve the equation. - 9x + 1 = - x + 17
x = -8, x = -2, x = 2, x = 8
7) Which number line represents the solutions to –2|x| = –6?
Find the options are in the attached figure.
write the integer which is 9 units left from +4
Answer:
I believe the answer is 5
Step-by-step explanation:
A plane is flying on a bearing 10 degrees east of south at 460 mph. A tail wind is blowing in the direction 20 degrees west of south at 80 mph. Express the actual velocity of the plane as a vector. Determine the actual speed and direction of the plane.
the actual velocity of the plane is 380 mph [14.6° east of south], and the actual speed and direction of the plane are 380 mph and 14.6° east of south respectively.
Actual velocity vector = 380 mph [14.6° east of south]
Actual speed = 380 mph
Actual direction = 14.6° east of south
The actual velocity of the plane can be determined by subtracting the velocity of the tail wind (80 mph) from the initial velocity of the plane (460 mph). This gives us a result of 380 mph. To calculate the direction of the actual velocity, we need to subtract the direction of the tail wind (20 degrees west of south) from the direction of the initial velocity of the plane (10 degrees east of south). This gives us a result of 14.6° east of south. Therefore, the actual velocity of the plane is 380 mph [14.6° east of south], and the actual speed and direction of the plane are 380 mph and 14.6° east of south respectively.
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Which ordered pair is a solution to the system of linear equations 2x 3y equals 6?; What does 0 0 indicate about the solutions of the system Brainly?; What does 0 0 mean regarding the solution to the system?
The ordered pair which is a solution to the system of linear equations (0,2).
In mathematics, a system of linear equations refers to a collection of one or more linear equations which involve the same variables. In order to solve the system of linear equations, multiply each equation by a constant such as the coefficient of one variable becomes the same.
Hence, multiply 2x + 3y= 6 by 3 and –3x + 5y = 10 by 2.
3 (2x + 3y= 6)
6x + 9y = 18
2(–3x + 5y = 10)
-6x + 10 y = 20
Adding the two equations
6x + 9y = 18
-6x + 10 y = 20
19y = 38
y = 2
Substitute y in either of the equations:
2x + 3(2)= 6
2x = 6 – 6 = 0
x = 0
Hence, the solution is (0, 2)
The ordered pair (0,0) is not a solution as it will invalid the given linear equation.
Note: The question is incomplete. The complete question probably is Which ordered pair is a solution to the system of linear equations? 2x + 3y= 6 and –3x + 5y = 10. (0,2) (2,0) (3,2) (2,3)
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Daniel went hiking. He began his hike at an altitude of 120 feet. He climbed at a rate of 25 feet every half hour. What is Daniel’s Altitude after 6 hours of hiking?
Answer:
420 feet.
Step-by-step explanation:
We have to first multiply 25 times 12 (because 6 hours is 12 half hours) which is 300.
300 plus his starting point, 120 is 420.
Therefore, your answer is 420 feet.
Answer: 420 feet
Step-by-step explanation:
Because Daniel climbed 25 feet every half hour for 6 hours, 25 feet is added 12 times to the 120 feet he already climbed.
120 + (25 × 12)
25 × 12 = 300
120 + 150 = 420
a 60-hz induction motor is needed to drive a load at approximately 895rpm. part a determine the maximum number of poles required to drive the load at 895 rpm . express your answer as an integer. p
The maximum number of poles required to drive the load is 8.
full load speed = 120*f/p
850 = 120*60/p
p = 120*60/850
p = 8.47
since no. of poles are even so
p = 8
if number pole p = 8
synchronous speed Ns = 120*f/p = 120*60/8 = 900RPM
SLIP = (Ns - N)/Ns
s = (900-850)/900
s = 0.056
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Richard and Elizabeth both bought a used car on the same day. Richard's used car
has 3,896 miles on it already, and he drives 238 miles per month. Elizabeth's car has
5,345 miles on it already, and she drives 187 miles per month. After how many
months will each car have the same number of miles on it?
Part 1:
What two equations represent this system of equations?
Part 2:
How many months will it take for both Richard and Elizabeth's cars to have the same
number of miles?
1. The two equations that represent this system of equations include
3896 - 238m
5345 - 187m
2. The months that it will it take for both Richard and Elizabeth's cars to have the same number of miles will be 28.4 months.
How to illustrate the equations that represents the information?Given that Richard's used car has 3,896 miles on it already, and he drives 238 miles per month. The equation will be:
3896 - 238m
Elizabeth's car has 5,345 miles on it already, and she drives 187 miles per month. The equation will be:
5345 - 187m
where m = number of months
The months that it take for both Richard and Elizabeth's cars to have the same number of miles will be:
3896 - 238m = 5345 - 187m
Collect like terms
51m = 1449
m = 1449 / 51
m = 28.4 months
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Write the equation in slope-intercept form.
y+2=1/6(x−4)
The slope intercept form is given as y = 1/6x - 3.
How to represent a straight line on a graph?To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.
The given equation is y + 2 = 1/6(x - 6).
It can be written in terms of slope-intercept form y = mx + c as below,
y + 2 = 1/6(x - 6)
=> 6(y + 2) = x - 6
=> 6y + 12 = x - 6
=> 6y = x - 6 - 12
=> y = 1/6(x - 18)
=> y = 1/6x - 3
Hence, slope-intercept form of the given equation is y = 1/6x - 3.
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"The table shows a function. Is the function linear or nonlinear?
x y
17 8
18 10
19 12"
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profft on every sandwich is S2, and tne profit on every wrap is $3. Sal made a profit of
$1,470 from lunch specials last month. The equation 2X + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the
number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2. Describe how you would graph this line using the slope-intercept method. Be sure t write using complete sentences.
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4. Graph the function. On
graph. make
graphing echnology.
label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use
5. Suppose Sal's totai profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of or
at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are differant.
Change the equation into slope intercept from .identify the slope and y intercept of the equation
Y= mx +b
2x+3y=1470
Subtracting -2x on both sides,
2x+3y-2x=1470-2x
3y=1470-2x
Divided by 3 on both sides
3y/3=1470/3-2x/3
Y=490-2/3x
Y= -2/3x+490..(1)
we know that,
y=mx +b
with the help of equation (1)draw a graph
we will start from (0,490)and then we will move 2 steps down and 3 step right.
F(x)=-2/3x+490
The graph represent how many graph and sandwich whield,
x=600
put the value of equation (1)
y= -2/3×600+490
y= -400+490
y=90
(600,90)
So these all represent correct things’
1200+270=1470
If you take the x-axis and take the y-axis of any point at that point, the x-axis and the y-axis, when calculating the profit, subtract 0 from 1 4, so it's not. Represents profit Represents the number of sandwiches and reps sold, from which profit is calculated to be 1470.
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The probability that a store sells all of their
ground hamburger for the week is 0.75. The
probability that the store sells all of it's steak for
the week is 0.68. The probability that the stores
sells all of both of the meats for the week is 0.62.
Given this information, are events A and B
dependent or independent?
Events A and B dependent as occurrence of one event does not affect the chances of the occurrence of the other event.
What is Probability?Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.
To understand this branch, it is extremely important to know its most basic definitions, such as the formula for calculating probabilities in equiprobable sample spaces, probability of the union of two events, probability of the complementary event, etc.
Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).
Since we have given that;
A be the event that a store sells all of their ground hamburger for the week
P(A)=0.75
B be the event that that the store sells all of it's steak for the week is
P(B)=0.68
The probability that the store sells all of both of the meats for the week is 0.62.
P(A|B)=0.62
but for A and B to be independent ,
P(A).P(B)= P(A and B)
0.75×0.68=0.51
but,
[tex]P(A|B) = \frac{P(AnB)}{P(B)}[/tex]
P(AnB) = 0.62 x 0.68
P(AnB) = 0.4216
So, P(A∩B) does not satisfy the condition.
Hence, A and B are not independent events.
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what is the result of adding the system of equations 2x y 43x y 6x 10x y 25x 10
Therefore the result of adding the system of equations 2x + y = 4 ,
6=3x-y is 5x =10
Describe equation:Equations are statements in mathematics containing the equals (=) sign flanked on either side by two algebraic expressions. The relationship between the expressions printed on the left and right sides is shown to be equal in this way. In all mathematical equations, LHS = RHS is used. You can solve equations to find the value of an unknown variable that stands in for an unknown quantity. If a sentence lacks a "equal to" sign, it is not considered an equation. It will be considered to be a phrase.
Here,
Given:
we have to solve the system of equations given. .Each equation is added together to remove the variable Y.
2x + y = 4
+
3x - y = 6
________
=> 5x =10
Therefore the result of adding the system of equations 2x + y = 4 ,
6=3x-y is 5x =10
The value of x :
x =10 / 5 = 2
⇒ x=2
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Students are designing an experiment to compare the productivity of two varieties of dwarf fruit trees. The site for the experiment is a field that is bordered by a densely forested area on the west (left) side. The field has been divided into eight plots of approximately the same area. The students have decided that the test plots should be blocked. Four trees, two of each of the two varieties, will be assigned at random to the four plots within each block, with one tree planted in each plot. The two blocking schemes shown below are under consideration. For each scheme, one block is indicated by the white region and the other block is indicated by the gray region in the figures. Blocking Scheme A Ðey Forest Block 1 Block 2 Blocking Scheme B Forest (a) Which of the blocking schemes, A or B, is better for this experiment? Explain your answer. (b) Even though the students have decided to block, they must randomly assign the varieties of trees to the plots within each block. What is the purpose of this randomization in the context of this experiment?
a) A is better for the better experiment. A creates similar with respect to forest exposure. This are because of the orthogonal effect in quadratic main model.
b) Randomization of variety of trees to plot within each block reduces any bias due to comforting variable.
Blocking Scheme:
In this subsection, the goal is to construct a blocking design such that the blocking effects are orthogonal to the terms in the linear main effects model so that a linear plus quadratic main effects model can be estimated. Assume that all m-factors are quantitative and an m0-factor DSD is constructed. where m0 = m + k and n = 2(m + k) + 1 runs. Removing the intermediate run from results in a 2(m + k) run design.
Randomization:
When you randomize an experiment, you select subjects at random. For example, you can use simple random sampling. In this case, participant names are randomly drawn from a pool with each having an equal probability of being selected. You can also randomly assign treatments to participants by assigning random numbers from a random number table.
If you use randomization in your experiments, protect yourself from bias. For example, selection bias (where some groups are underrepresented) is eliminated and accidental bias (where random imbalance occurs) is minimized. If your sample is random, you can also run various statistical tests on the data (to test hypotheses).
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which of the following are true statements about any regular polygon
Answer:
Two dimensions.
Straight sides.
Congruent (equal-length) sides.
An interior and exterior.
Equal interior angles.
Equal exterior angles.
Step-by-step explanation:
