Answer:
x = 1/4, 3/4
Step-by-step explanation:
From \(\displaystyle{x+x^2+\dots + x^n + \dots}\) can be rewritten as:
\(\displaystyle{\dfrac{x}{1-x}}\)
through the infinite geometric series formula for |x| < 1 which is:
\(\displaystyle{S = \dfrac{a_1}{1-r}}\)
In the series, \(\displaystyle{a_1}\) is our first term which is x and r is common ratio which is also x (by dividing next term by previous term. Hence, x²/x = x). Thus, we have the following rewritten equation:
\(\displaystyle{-1+\dfrac{1}{x}+\dfrac{x}{1-x} = \dfrac{10}{3}}\)
Solve the equation for x:
\(\displaystyle{-1 \cdot 3x(1-x)+\dfrac{1}{x} \cdot 3x(1-x)+\dfrac{x}{1-x}\cdot 3x(1-x) = \dfrac{10}{3} \cdot 3x(1-x)}\\\\\displaystyle{-3x(1-x)+3(1-x)+3x^2=10x(1-x)}\\\\\displaystyle{-3x+3x^2+3-3x+3x^2=10x-10x^2}\\\\\displaystyle{3x^2+3x^2+10x^2-3x-3x-10x+3=0}\\\\\displaystyle{16x^2-16x+3=0}\\\\\displaystyle{\left(4x-1\right)\left(4x-3\right)=0}\\\\\displaystyle{x=\dfrac{1}{4}, \dfrac{3}{4}}\)
Both solutions work since 1/4 and 3/4 are less than 1.
Consider this absolute value function. if function f is written as a piecewise function, which piece will it include? a. b. c. d.
Answer:
I believe b?
Step-by-step explanation:
I think i took this course
My question is "A bag contains 1
orange, 1
yellow, and 2
blue balls. The balls are replaced after each selection
Draw a sample space to find the probability that the two selected balls are an orange ball and a blue ball."
Please, someone help ASAP
a) The total number of possible outcomes is n = 16 outcomes
b) The probability of selecting an orange ball and a blue ball in either order is given by P = 2/9
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of selecting an orange ball and a blue ball in either order be represented as P
Now , the value of P is
The total number of balls in the bag = 4 balls
The number of blue balls = 2
The number of yellow balls = 1
The number of orange balls = 1
The total number of outcomes S = { ( blue , blue ) , ( blue , orange ) , ( orange , blue ) , ( yellow , blue ) , ( blue , yellow ) , ( yellow , orange ) , ( orange , yellow ) , ( yellow , yellow ) , ( orange , orange ) }
Now , the sample space of selecting 2 balls that are orange and a blue ball is A = { ( orange , blue ) , ( blue , orange ) }
So , the probability of selecting an orange ball and a blue ball in either order is P = 2/9
Hence , the probability is 2/9
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AYEEEEE i need help again because i dont know nothing
Answer:
its D
Step-by-step explanation:
"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)
Im imposter yay
Consider the data set 92, 100, 98, 89, 95, 100, 97. How will adding 65 to the data set affect the mean and the median?
A. The median will increase less than the mean.
B. The median will increase more than the mean.
C. The median will decrease less than the mean.
D. The median will decrease more than the mean.
The arithmetic mean is frequently used when discussing a bunch of numbers as being "average." One of three possible averages—the others being the median and the mode—is the one we're discussing here.
What is the Relationship Between Mean, Median and Mode?It would appear that the mean, median, and mode have no relationship at first glance. Measuring the center of a data collection, however, does have an empirical link.There is typically a difference between the median and the mode, and it is typically three times larger than the gap between the mean and the median, according to mathematicians.Formula below illustrates how the empirical relationship works:Mean minus Mode = 3 (Mean – Median)
For Given
Median, Mode, and Median Results: 95.85714 (Mean (Average)).
A middle value of 97
100 is the Mode (Most Popular)
Variety & Totals
Maximum to Minimum Results: 11
Total Numbers in the Set: 7
in descending order: 89, 92, 95, 97, 98, 100, 100
Ordered in decreasing order: 100,100,98,97,95,92,89
Even Numbers: 92, 98, 100, 100.
Odd Numbers: 89,95,97.
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PRE ALGEBRA !! BRAINLEST!!!!!
Applying the knowledge of algebraic equations, we have:
21. x = -5
23. x = -2
24. 35, 37, 39
27. W = V/LH
28. B = (A - PH)/2
How to Solve Algebra?In algebra, to solve for any variable, we have to make the variable the subject of the formula by isolating the variable to one side of the algebraic equation.
21. Let the unknown number = x. The algebraic equation that would be used to find x is:
x - 6 = -11
Solve for x
x = -11 + 6
x = -5
23. Let the unknown number = x. Thus, the algebraic equation to be created to find x would be:
5x - 1 = -11
Solve for x
5x = -11 + 1
5x = -10
x = -10/5
x = -2
24. Odd numbers cannot be divided by 2 without a remainder, so, the consecutive odd numbers that have a sum of 111 are: 35, 37, 39
27. V = LWH
Solve for W
V/LH = W
W = V/LH
28. A = PH + 2B
Solve for B in the equation
A - PH = PH + 2B - PH
A - PH = 2B
Divide both sides by 2
(A - PH)/2 = B
B = (A - PH)/2
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Answer:
21:x=17
23:x=-2
24:35,37,39
27:V/LH
28:B=(A-PH)/2
Step-by-step explanation:
21: To find the difference between 6 and -11, you can do 6-(-11). Since the two negatives cancel out into positive, it will become 6+11 which is 17.
23: So we know that -11 is 1 added to 5 times a number. Let's just use x for the number. So we have 5x+(-1)=-11 or 5x -1=-11. So we move the negative 1 to the other side and make the sign in front of it a positive. It would look like this: 5x=-11+1, which is also 5x=-10, so x=10/5 or -2.
24: You first do 111/3 which is 37. Then on the left side, you take away to from 37 since it wants it to be odd, and on the right side, you add 2 to get 39. So, it will look like: 35,37,39.
27: V=LWH, W=V/LH.
28: A - PH = PH + 2B - PH, A - PH = 2B, (A - PH)/2 = 2B/2, B = (A - PH)/2.
Solve the division problem. Round answer to the nearest hundredth.9.2/52.063
In order to divide these numbers, first let's start with a 0 in the unit place, since 9.2 is smaller than 52.063.
Then, we multiply 9.2 by 10, this way we will calculate the tenths place.
Now, dividing 92 by 52.063, we have 1 as the result.
The remainder will be 92 - 52.063 = 39.937.
Again, let's multiply the remainder by 10, so now we will calculate the hundredths of the result.
Dividing 399.37 by 52.063 we have 7.
The remainder is 399.37 - 7*52.063 = 34.929.
Multiplying by 10, we have 349.29, and now we calculate the thousandths.
Dividing 349.29 by 52.063 we have 6.
Until now, the result of the division is 0.176.
Rounding to the nearest hundredth, we have 0.18 as the result of the division.
Part 1: If (7^2)^x = 1, what is the value of x? Explain your answer.
A) x = 0
B) x = 1 or 0
Part A; (7²)ˣ = 1
From Laws of indices, we know that any number raised to the power of 0 equals 1.
Thus; 7⁰ = 1
We now have;
(7²)ˣ = 7⁰
Opening the bracket, 2 will multiply x to give;
= 7⁰
Both powers will be equal because their base numbers are equal.
Thus; 2x = 0
x = 0
Part B;
= 1
Like in Part A, 7⁰ = 1
Thus;
1ˣ = 1⁰
Equating both powers; x = 0
Again, x could also be gotten from;
1ˣ = 1¹
x = 1
This is because 1¹ is still equal to 1.
x = 1 or 0
Using a completed math sheet as data would be an example of which type of data?
Permanent product
Latency data
Estimation data
Interval data
Using a completed math sheet as data would be an example of Permanent product data. Option A is the correct answer.
Permanent products are the actual, tangible results of a conduct, such as tangible items or consequences. The quantity of finished objects, creative projects, tests, and homework assignments that students turn in are frequent instances of permanent product measures. Option A is the correct answer.
Permanent product are chosen in accordance with the behavior description that has been established targeted and the expected results of a habit. The pace of behavior during a certain time period is described by this form of data gathering. The force of the behavior is reflected in a different dimension. When a student assembles things in shop class or learns to write words on paper, force may be seen in the damage caused by the pressure they apply.
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The complete question is, "Using a completed math sheet as data would be an example of which type of data?
A. Permanent product
B. Latency data
C. Estimation data
D. Interval data"
Please help need by tomorrow it would be very very very appreciated
The linear inequality for the graph in this problem is given as follows:
y ≥ 2x/3 + 1.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The graph crosses the y-axis at y = 1, hence the intercept b is given as follows:
b = 1.
When x increases by 3, y increases by 2, hence the slope m is given as follows:
m = 2/3.
Then the linear function is given as follows:
y = 2x/3 + 1.
Numbers above the solid line are graphed, hence the inequality is given as follows:
y ≥ 2x/3 + 1.
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Which represents the inverse of the function f(x) =4x?
Let's see
Let y=f(x)
y=4xIntechange x and y
x=4yFind y
y=x/4The inverse is y=x/4
Graphs attached
Answer:
\(\sf f^{-1}(x)=\dfrac{x}{4}\)
Step-by-step explanation:
The inverse of a function is the reflection of the function in the line y = x
To find the inverse of a function:
Set the function to y:
⇒ y = 4x
Make x the subject:
\(\sf \implies x=\dfrac{y}{4}\)
Change x to \(\sf f^{-1}(x)\) and y to x:
\(\sf \implies f^{-1}(x)=\dfrac{x}{4}\)
An object has two forces acting on it: the first is a force of 20 newtons upward and the second is a force of 20 newtons downward. Which of the following could describe the state of the object?
If the forces of 20 newtons upward and 20 newtons downward are equal in magnitude and opposite in direction, the object is in a state of equilibrium.
The state of the object can be described by considering the net force acting on it. The net force is the vector sum of all the individual forces acting on the object. In this case, we have a force of 20 newtons upward and a force of 20 newtons downward.
If the two forces are equal in magnitude and opposite in direction, they will cancel each other out and the net force will be zero. This means that the object is in a state of equilibrium, where the forces are balanced and there is no acceleration. In other words, the object is not moving and remains at rest.
Therefore, if the forces of 20 newtons upward and 20 newtons downward are equal in magnitude and opposite in direction, the object is in a state of equilibrium.
However, if the forces are not equal in magnitude or not opposite in direction, the net force will not be zero. In this case, the object will experience a resulting force in the direction of the greater force. The object will accelerate in that direction according to Newton's second law of motion (F = ma), where F is the net force and a is the acceleration of the object.
To summarize, if the forces of 20 newtons upward and 20 newtons downward are equal and opposite, the object is in a state of equilibrium. If they are not equal and opposite, the object will experience a resulting force and will accelerate in the direction of the greater force.
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A business orders 215 flowers for their employees on Valentine’s Day. Roses cost $3.00 each, carnations cost $1.00 each, and lilies cost $2.00 each. There are 15 more lilies than roses. The total of the order came to $410.00. How many of each type of flower were ordered?
How many of each type of flower were ordered?
Write the system of equations that represents this scenario.
Answer:
number of Roses = 60
number of carnations = 80
number of Lilies = 75
Step-by-step explanation:
Roses = $3.00
carnations = $1.00
Lilies = $2.00
Total order = 215
Let
x = number of Roses
y = number of carnations
z = number of Lilies
There are 15 more lilies than roses.
z = x + 15
The total of the order came to $410.00.
x + y + z = 215
3x + y + 2z = 410
substitute z = x + 15
x + y + x + 15 = 215
3x + y + 2(x+15) = 410
2x + y + 15= 215
3x + y + 2x + 30 = 410
2x + y = 215 - 15
5x + y = 410 - 30
2x + y = 200 (1)
5x + y = 380 (2)
Subtract (1) from (2)
5x - 2x = 380 - 200
3x = 180
Divide both sides by 3
x = 180/3
= 60
x = 60
Recall
z = x + 15
z = 60 + 15
= 75
z = 75
Substitute the value of x into (1)
2x + y = 200
2(60) + y = 200
120 + y = 200
y = 200 - 120
= 80
y = 80
Therefore,
x = number of Roses = 60
y = number of carnations = 80
z = number of Lilies = 75
San Diego's family took a road trip to Mount Rushmore San Diego fell asleep 44% of the way through the trip if the total length of the trip was 400 miles how many miles have they traveled when he fell asleep
The number of miles that they traveled when San Diego fell asleep will be 176 miles.
How to illustrate the information?It should be noted that from the information, San Diego's family took a road trip to Mount Rushmore and San Diego fell asleep 44% of the way through the trip.
In this case, the total length of the trip was 400 miles.
Therefore, the number of miles that they traveled when he fell asleep will be:
= Percentage × Total miles
= 44% × 400
= 0.44 × 400
= 176 mile
Therefore, the number of miles that they traveled when San Diego fell asleep will be 176 miles.
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Find the curl of the vector field F =< 6ycos(x), 2xsin (y) >
The curl of the vector field F =< 6ycos(x), 2xsin (y) > is given by (2sin(y) - 6cos(x)).
To find the curl of the vector field F =< 6ycos(x), 2xsin(y)>, we can use the formula for the curl of a vector field in two dimensions, which is given by:
curl(F) = (∂Q/∂x - ∂P/∂y)
In this case, we have P(x,y) = 6ycos(x) and Q(x,y) = 2xsin(y), so we need to compute the partial derivatives of these functions with respect to x and y.
∂P/∂y = 6cos(x)
∂Q/∂x = 2sin(y)
Therefore,
curl(F) = (∂Q/∂x - ∂P/∂y) = (2sin(y) - 6cos(x))
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c) Using Gary's age come up with an expression that represents your age in terms of g. Be creative! For example, if Mr. Weiler is 43 years old, then his age would be 4g-1.
We know that Gary's age is 11 years old. So, we just have to use an expression to indicate someone's age.
Let's consider the expression:
\(2g+5\)This expression represents Mr. Smith's age who is 27 years old. Let's prove it using Gary's age.
\(2(11)+5=22+5=27\)Therefore, our expression is 2g + 5.Which has a larger surface area a prism or a cylinder? Explain
Answer:
A prism is a solid figure that has two parallel congruent sides that are called bases that are connected by the lateral faces that are parallelograms. ... A cylinder is a tube and is composed of two parallel congruent circles and a rectangle which base is the circumference of the circle.
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
if a confidence interval is given from 43.85 up to 61.95 and the mean is known to be 52.90, what is the margin of error?
The margin of error can be calculated using the formula:
Margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2
In this case, a margin of error of 9.55 suggests that the sample mean is quite precise, since it's relatively close to the true population mean (which we know to be 52.90).
In this case, the lower limit of the confidence interval is 43.85 and the upper limit is 61.95.
Margin of error = (61.95 - 43.85) / 2
Margin of error = 9.55
Therefore, the margin of error is 9.55. This means that if the sample size were to be repeated, we would expect the sample mean to be within 9.55 units of the true population mean 95% of the time.
It's worth noting that the confidence interval provides a range of values within which we can be reasonably certain that the true population mean lies. The margin of error, on the other hand, gives us an indication of the precision of our estimate. However, if the margin of error were larger, this would indicate that our estimate is less precise and that we need a larger sample size to obtain a more accurate estimate of the population mean.
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Ingrid is starting a savings account and will make weekly contributions. The amount of her savings y after x weeks is a proportional relationship that can be represented by the equation y=25x. What is the slope of the line and how much does Ingrid save each week?
The slope of the line is 25 and Ingrid saves each week is $25.
What is a proportional relationship?
Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant. where the constant of proportionality is also known as slope.
Given, a proportional relationship that can be represented by the equation y=25x
In the above equation, the constant of proportional = 25
So, by the above definition,
the slope of the line = 25
Ingrid saves each week = 25
Hence, the slope of the line is 25 and Ingrid saves each week is $25.
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I need help and I really dont understand this...
Answer:
C.
Step-by-step explanation:
-1/4(12x+8)<=-2x+11
Distribute:
-3x-2<=-2x+11
Add 2x on both sides:
-1x-2<=0+11
Additive identity property applied:
-1x-2<=11
Add 2 on both sides:
-1x+0<=13
Additive identity property applied:
-1x<=13
Divide both sides by -1:
x>=-13 (dividing or multiplying both sides of an inequality by a negative means we must flip inequality sign)
Answer x>=-13
So the solution set includes any number greater than or equal to -13. That means we have everything to right of -13 including -13.
which of the following is an area of mathematics that studies how competing parties interact
An area of mathematics that studies how competing parties interact is known as "game theory."
Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.
Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.
The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.
Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.
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PLEASE HELP ME IM TIMED
ONLY THE SECOND QUESTJON PLEQSE
Answer:
2.
A. GCF: 5x
B. GCF: 1
3.
A. 12x² + 38x - 14
B. 9x² - 6x + 1
C. 3x² + 4x - 5
Step-by-step explanation:
2.
a.
5x² - 30x
5x (x - 6)
GCF: 5x
b.
-12x² - 3xy - 4y²
GCF: 1
3.
a.
(2x + 7)(6x - 2)
2x(6x - 2) + 7(6x - 2)
12x² - 4x + 42x - 14
12x² + 38x - 14
b.
(3x - 1)²
(3x - 1)(3x - 1)
3x(3x - 1) - 1(3x - 1)
9x² - 3x - 3x + 1
9x² - 6x + 1
c.
(x + 3)(3x - 2) - (3x - 1)
3x(x + 3) - 2(x + 3)
3x² + 9x - 2x - 6
3x² + 7x - 6 - (3x - 1)
3x² + 7x - 6 - 3x + 1
3x² + 4x - 5
I hope this helps!
i need help, i’ll mark brainest! fast!
Answer:
k = -2
Step-by-step explanation:
\(f(x) = \frac{5}{2} x + 1 \\ g(x) = \frac{5}{2}x - 1 \\ \\ g(x) = f(x) + k \\ \frac{5}{2} x - 1 = ( \frac{5}{2} x + 1) + k \\ - 1 = 1 + k \\ k = - 1 - 1 \\ k = - 2\)
Write a simplified polynomial expression in standard form to represent the area of the rectangle below:
(See photo)
A. 2x^2 + 3x - 20
B. 2x^2 + 13x - 1
C. 2x^2 + 13x - 20
D. 2x^2 + 3x - 1
Answer:
A
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × breadth
= (2x - 5)(x + 4) ← expand using FOIL
= 2x² + 8x - 5x - 20
= 2x² + 3x - 20 → A
Write the number 0.00004 in scientific notation.
Answer:
4.0 x 10^-5
Step-by-step explanation:
Answer:
4*10^-5
Step-by-step explanation:
Start by counting the zeros to the right of the decimal if 0<x<1. Stop when you hit a digit between 1 and 9Add 1 to the number of zerosThis is the powerExpress the number as one between 1 and 9 The power is changed to a negative, if 0<x<10.00004 has 4 zeros. Add 1 = 5
The power on 10 becomes negative (-5)
4 is a number between 1 and 9 inclusive.
4 * 10^-5
03. O preço a ser pago por uma corrida de táxi inclui uma parcela fixa, denominada bandeirada, e uma parcela que depende da distância percorrida. Se a bandeirada custa R$ 3,20 e cada quilômetro rodado custa R$ 1,50, qual o valor de v a pagar em uma corrida de n quilômetro? * 1 ponto a) v = 1,50 + 3,20n b) v = 3,20.N c) v = 3,20.N - 1,50 d) v = 3,20 + 1,50n e) v = 1,50n
Answer: d) v = 3.20 + 1.50n.
Step-by-step explanation:
Let 'v' be the price to pay in a 'n' kilometer.
Given: The price to be paid for a taxi ride includes a fixed parcel, called a flag, and a parcel that depends on the distance traveled.
Flag costs = $ 3.20 and
Each kilometre run costs = $ 1.50
Then, the amount of 'v' to pay in a 'n' kilometer race = Flag costs + (n)× (Each kilometre run costs )
⇒ v= 3.20 + 1.50n
Hence, the correct option is d) v = 3.20 + 1.50n.
a diver was collecting water samples from a lake. he collected a sample at every 3m, starting at 5m below water surface. the final sample was collected at a depth of 35m.how many sample did he collected
The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.
We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.
The total depth range is:
35 m - 5 m = 30 m
The distance between each sample is 3 m, so the number of samples is:
(30 m) / (3 m/sample) + 1 = 10 + 1 = 11
Therefore, the diver collected a total of 11 water samples.
If the probability that a chef likes carrots is 0.13, the probability of those who like broccoli is 0.72, and the probability of those who like neither is 0.22, what is the probability of those who like both
Taking into account definition of probability, the probability of those who like both is 0.07 or 7%.
Definition of ProbabitityProbability is the greater or lesser possibility that a certain event will occur.
In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.
Union of eventsThe union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".
The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:
P(A∪B)= P(A) + P(B) -P(A∩B)
where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.
Complementary eventA complementary event, also called an opposite event, is made up of the inverse of the results of another event. That is, That is, given an event A, a complementary event is verified as long as the event A is not verified.
The probability of occurrence of the complementary event A' will be 1 minus the probability of occurrence of A:
P(A´)= 1- P(A)
Events and probability in this caseIn first place, let's define the following events:
C: The event that a chef likes carrots.B: The event that a a chef likes broccoli.Then you know:
P(C)= 0.13P(B)= 0.72In this case, considering the definition of union of events, the probability that a chef likes carrots and broccoli is calculated from:
P(C∪B)= P(C) + P(B) -P(C∩B)
Then, the probability that a chef likes carrots and broccoli is calculated as:
P(C∩B)= P(C) + P(B) -P(C∪B)
In this case, considering the definition of the complementary event and its probability, the probability that a chef likes NEITHER of carrots and broccoli is calculated as:
P [(C∪B)']= 1- P(C∪B)
In this case, the probability of those who like neither is 0.22
0.22= 1 - P(C∪B)
Solving
0.22 - 1= - P(C∪B)
-0.78= - P(C∪B)
- (-0.78)= P(C∪B)
0.78= P(C∪B)
Now, remembering that P(C∩B)= P(C) + P(B) -P(C∪B), you get:
P(C∩B)= 0.13 + 0.72 -0.78
Solving:
P(C∩B)= 0.07= 7%
Finally, the probability of those who like both is 0.07 or 7%.
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Let's now see what the distribution of statistics is actually like under Emily's model. Define the function simulation_and_statistic to take in the model_proportions array and the expected proportion of times a TT practitioner would guess a hand correctly under Emily's model. The function should simulate Emily running through the experiment 210 times and return the statistic of this one simulation
Here's a possible implementation of the function.
What is fraction?A fraction represents a part of a whole or a ratio between two quantities. It consists of a numerator (top number) and a denominator (bottom number) separated by a fraction bar. The numerator represents the number of equal parts being considered, while the denominator represents the total number of equal parts in the whole. Fractions can be written in various forms, such as mixed numbers, improper fractions, or decimals.
Here,
The function uses NumPy's random.choice function to simulate Emily running through the experiment 210 times and recording her guesses. It then calculates the proportion of times Emily guessed a hand correctly, and uses this to compute the standard normal deviate (also known as the z-score) of the proportion, which is a measure of how many standard deviations away from the expected proportion the observed proportion is. The statistic is then simply this z-score, which we can use to test the null hypothesis that Emily's guesses are no better than chance.
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In
Circle C,
the diameter is 30 units long,
CE= 6x, and m
Find x.
The diameter of circle C is \(x\), which is \(5\).
What in geometry is a circle?A circle is the collection of all points on a plane that are at a specified distance from another point (the radius) (the centre). A radius is any distance separating a point on a circle from its center. Any two radii are equal in length under the concept of a circle.
What do you call a half circle?A semicircle is a half circle produced by splitting a circle into two equal parts. It is created when a line pierces the circle's center and touches its two ends.
Since \(CE\) is a radius of the circle and the diameter is \(30\) units long, we know that \(CE\)is half the length of the diameter:
\(CE = 1/2\)(diameter)\(= 1/2(\)30 units)\(= 15\) units
We are given that \(CE = 6x\), so we can solve for \(x\):
\(CE = 6x = 15\)
\(x = 15/6\)
\(x = 2.5\)
Now, we can use the fact that angle \(CED\), where \(D\) is the center of the circle, is a central angle that intercepts arc \(CD\), to find the measure of angle \(CED\).
Since the diameter of the circle is a straight line, it forms a \(180\) degree angle at its endpoints. Therefore, angle \(CED\) is half of this angle, which is:
angle \(CED = 1/2(180 degrees) = 90\)degrees
We are given that angle \(CED\) is \(30\) degrees, so we can set up an equation:
angle \(CED = 30 = 6x\)
Simplifying and solving for \(x\):
\(6x = 30\)
\(x = 30/6\)
\(x = 5\)
Therefore, \(x\) is equal to \(5\).
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Multiple questions each number needs a letter!
1. I like or go to the beach or I like to eat ice cream.
2. I like or go to the beach and I like to eat ice cream.
3. I enjoy rainy days and I like to eat ice cream.
4. I do not enjoy eating ice cream or I do not enjoy rainy days.
5. Therefore, I enjoy ice cream.
ANSWER OPTIONS
A. p v q
B. ~q v r
C. r ^ q
D. p ^ q
E. (Three dots in the shape of a pyramid) q
Answer:
The answers are below!
Step-by-step explanation:
These are what the symbols mean so you can better understand them
p: I like to go to the beach
q: I like to eat ice cream
r: I do not enjoy rainy days
^ = means OR so a that has or in it.
v = means AND so any sentance with and in it
~ = not so any phrase that condridicts what the origional P,Q, and/or R
∴ = Therefore so any phrase with therefore.
So; p ∧ q would be P... OR... Q acording to the key above would be
I ilke to go to the beach OR I like to eat icecream.
You can figure out the rest! Hope this helps you!