a robot encounters a bunch of coins spread out on the ground. it examines each coin and, if the coin is heads, turns it to tails with 100% probability. if the coin is tails, it turns it to heads with 50% probability. he examines each coin once per cycle. if you have the robot cycle through the coins a very large number of times, what will eventually happen to the proportion of heads and the proportion of tails?
Answers
The proportion of heads and the proportion of tails p(H) + p(T) = 1.
Let p(H) represent the long-term probability that the coin will land on heads, and p(T) represent the long-term probability that the coin will land on tails.
Keep in mind that we must be at a tail and transition with a probability of 0.5 in order to get a head. So, p(H) = 0.5p(T).
Noting that we can either be at a head and transition to a tail with a probability of 1, or at a tail and transition to a tail with a probability of 0.5, we can obtain a tail. p(T) therefore equals 0.5 * p(T) + p(H).
Note that p(T) = 2 p is the result of the first two equations (H). We obtain p(H) = 1/3 and p(T) = 2/3 by substituting into p(H) + p(T) = 1. So, eventually, we'll have two-thirds of the coins with heads and one-third with tails.
What is the probability of finding three heads if there are five coins?The probability of finding three heads is 1/4. We should find the probability of finding three heads in five tosses with the help of the following formula:
p(x) = (x+1) C x-1 p(3 Heads)
p(x) = (5+1) C 4 -1p(3 Heads) = 7/8.
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Related Questions
Jeremy bought a new pair of jeans. The jeans regulary cost $30, but they are on sale for 10 percent off. There is a 6 percent sales tax on his purchase. How much will Jeremy pay altogether for the jeans?
Answers
Step-by-step explanation:
mp=$30
%D=10%=%D=D/M.p×100
10%=D/30$×100=100D=10
DISCOUNT =$3
S.P=$27×6÷100=$1.62+27
=$28.623. Classify each of the given sets of measurements
as one unique triangle, multiple triangles, or no A.
Place the letter in the correct box.
a) 52, 63, 65°
b) 31°, 102°, 46°
c) 70.6°, 47.4°, 62°
e)
f)
7.9 cm, 2.4 cm, 2.9 cm
12% in, 6 % in, 5 % in
124 mm, 432 mm, 385 mm
Answers
The Classify each of the given sets of measurements is given below:
How to Classify each of the given sets of measurementsa) 52, 63, 65°: These measurements form a unique triangle. This is a right-angled triangle, also known as a Pythagorean triple.
b) 31°, 102°, 46°: These measurements do not form a triangle. The sum of the angles in a triangle is always 180°, but in this case, the sum is 179°, which is less than 180°.
c) 70.6°, 47.4°, 62°: These measurements do not form a unique triangle. There are multiple possible triangles that can be formed with these measurements.
d) 3 cm, 4 cm, 5 cm: These measurements form a unique triangle. This is another example of a Pythagorean triple.
e) 7.9 cm, 2.4 cm, 2.9 cm: These measurements do not form a triangle. The sum of the two smaller sides is less than the length of the largest side, which violates the triangle inequality.
f) 12% in, 6% in, 5% in: These measurements do not form a triangle. The sum of the two smaller sides is less than the length of the largest side, which violates the triangle inequality.
g) 124 mm, 432 mm, 385 mm: These measurements form a unique triangle.
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Derek was 4 years 2 months old when he joined school. Today he is 11 years 1 month old. For how long has he been in school?
Answers
Answer:
hi
Step-by-step explanation:
first of all,we should do this:
1 year is 12 month
amd 4 year is 48 month(12×4)
then we must add 2 months (wich is given) to 48
He was 50 months old when he started school
and we should find how old is he now
11 ×12=132months
132+1=133months
133-50=83 ( he has been 83 months in school)
let's turn it to years 6 years 11 months
( for finding years you should divide 83 to 12)
hope it helps
What is the area of this shape?
Answers
Answer:
144
Step-by-step explanation:
The shape is a trapezoid.
Add 6 and 112, which is eighteen
divide eighteen by 2, which is 9
Finally, multiply 9 and sixteen which is 144
A=(1/2)(a+b)h
A=(1/2)(6+12)(16)
A= (1/2)(18)(16)
A=(9 x 16)
A=144 in2
A fixed amount of ♬ of a cake has to allocated between two individuals = 1,2 with utility functions Utah (with alpha ^ k > 0 ) where x is the amount of the cake allocated to individual h
a) Consider a utilitarian social welfare function, How do the optimal values of r' and r² change among the cases alpha ^ 1 < alpha ^ 2 alpha ^ 1 = alpha ^ 2 and alpha ^ 1 > alpha ^ 2 ? Provide explanation.
b) Consider the following Bernoulli-Nash social welfare function:
W = U ^ 1 * U ^ 2
Answers
a) l- If alpha¹ < alpha², r' is higher than r². If alpha¹ = alpha², r' is equal to r². If alpha¹ > alpha², r' is lower than r². b) The optimal allocation aims to maximize the product of individual utilities, U¹ and U², in the Bernoulli-Nash social welfare function.
In the utilitarian social welfare function, the goal is to maximize the total utility of both individuals. The optimal values of r' and r² will depend on the relative values of alpha¹ and alpha².
If alpha¹ < alpha², it means that individual 2 (with alpha²) values the cake more than individual 1 (with alpha¹). In this case, the optimal allocation will prioritize satisfying individual 2's preference, allocating more cake to them. Therefore, r' will be higher than r².
If alpha¹ = alpha², it means that both individuals value the cake equally. In this case, the optimal allocation will aim for an equal distribution of the cake between the two individuals. Therefore, r' will be equal to r².
If alpha¹ > alpha², it means that individual 1 (with alpha¹) values the cake more than individual 2 (with alpha²). In this case, the optimal allocation will prioritize satisfying individual 1's preference, allocating more cake to them. Therefore, r' will be lower than r².
The Bernoulli-Nash social welfare function is given by W = U¹ * U², where U¹ represents the utility of individual 1 and U² represents the utility of individual 2. In this case, the optimal allocation will maximize the product of the individual utilities.
The main answer in one line: The optimal allocation will aim to maximize the product of individual utilities, U¹ and U².
With the Bernoulli-Nash social welfare function, the goal is to maximize the overall welfare by maximizing the product of individual utilities.
The optimal allocation will be the one that maximizes the utility of both individuals simultaneously, considering their respective preferences.
This approach takes into account the interdependence of the individuals' utilities and seeks to find a distribution that maximizes the overall welfare based on the individual utilities.
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For a relaxation test, sketch and explain the response of the following models including the initial (elastic) stress and the final stress after a very long time: (a) two springs in parallel b) Maxwell model
Previous question
Next question
Answers
For the relaxation test, the response of the following models, including the initial (elastic) stress and the final stress after a very long time, are given as follows:
Model A: Two Springs in Parallel, The equation of the model is given as F = F1 + F2. The two springs are in parallel to each other, so they have the same extension x. Therefore, the force in the first spring is F1 = k1x, while the force in the second spring is F2 = k2x, so the total force F is given by F = k1x + k2x = (k1 + k2) x. The relaxation test is carried out by applying a constant load to the system, allowing it to reach its equilibrium position, and then removing the load. The system then relaxes back to its initial state. The initial (elastic) stress is given by σ0 = F/A, where F is the initial load applied and A is the cross-sectional area of the specimen. The final stress after a very long time is given by σ∞ = 0.
Model B: Maxwell Model ,The Maxwell model consists of a spring and a dashpot connected in series, as shown below. The spring has a spring constant k, and the dashpot has a viscosity coefficient η. The deformation of the spring results in a force F = kx. The dashpot resists the deformation with a force proportional to the velocity of the deformation, which is given by F = ηv.The relaxation test is carried out by applying a constant load to the system, allowing it to reach its equilibrium position, and then removing the load. The system then relaxes back to its initial state. The relaxation time constant for this model is given by τ = η/k.The initial (elastic) stress is given by σ0 = F/A, where F is the initial load applied and A is the cross-sectional area of the specimen. The final stress after a very long time is given by σ∞ = 0.
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What is the value of x
Answers
Answer: x=108
Step-by-step explanation:
First set up an equation by adding the two angles together : x+2/3x
Then you want to set this equal to 180° because a straight line measures 180°: x+2/3x=180
Simplify: 5/3x=180
Multiply but 3/5 on each side: x=108
x=108
1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0 What does a equal?
Answers
Answer:
a = -50/51
Step-by-step explanation:
1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0
1 + 3 + 5 + ... + 99 + 2a + 4a + ... + 98a + 100a = 0 Eq. 1
99 + 97 + 95 + ... + 1 + 98a + 96a + ... + 4a + 2a = 0 Eq. 2
Add Eq. 1 and Eq. 2
100 + 100 + ... + 100 + 102a + 102a + ... 102a = 0
50(100)/2 + 50(102a)/2 = 0
2500 + 2550a = 0
2550a = -2500
a = -2500/2550
a = -250/255
a = -50/51
Write 5×√5 as a single power of 5.
Answers
Answer:
to me the answer will be 5 raised to power 2
What is the distance between points 5 5 and 1 5 on a coordinate plane?
Answers
The distance between the two given points (5, 5) and (1 ,5) on a coordinate plane is equal to 4 units.
As given in the question,
Let the coordinates of the two given points in the coordinate plane are represented by:
(x₁ , y₁) = (5, 5)
(x₂ , y₂ ) = (1 ,5)
Distance between two points = √ ( x₂ - x₁)² + ( y₂ - y₁)²
Substitute the value we get,
Required Distance
= √ ( 1 - 5 )² + ( 5 - 5 )²
= √ ( -4 )² + ( 0 )²
= √ 16
= 4 units as distance is always positive.
Therefore, the distance between the given points on a coordinate plane is equal to 4 units.
The above question is incomplete , the complete question is :
What is the distance between points (5, 5) and (1 ,5) on a coordinate plane?
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How can you use a unit tile to find the area of a rectangle with fractional side lengths?
Answers
Answer:
Step-by-step explanation:
The area can be found by the formula
\(\boxed{\boxed{\bf S=ab}}\)
This is universal, regardless of whether the fractional side or not; the main thing at the end is to convert to a decimal fraction
For example
\(a=\dfrac{3}{4} ~~ ; ~~ b=\dfrac{1}{3} \\\\ S=\dfrac{\not \!3}{4} \cdot \dfrac{1}{\not\!3}= \dfrac{1}{4} \rm un^2=0,25 un^2\)
(un- Unit of measurement )
let y1 and y2 have the joint density function f(y1, y2) = e−(y1 y2), y1 > 0, y2 > 0, 0, elsewhere. (a) find the marginal density function for y1. f1(y1) = , where y1 >
Answers
As per the given joint density function, the marginal density function for y1 is f1(y1) = 1/y1, where y1 > 0.
Joint density functions are used to describe the distribution of two or more variables. They provide the probability of observing certain values for multiple variables at the same time.
For the given joint density function
\(= > f(y1, y2) = e^{-(y1 y2)}, y1 > 0, y2 > 0\)
and 0 elsewhere, we are asked to find the marginal density function for y1, which is denoted by f1(y1).
Here the marginal density function of y1 is found by integrating the joint density function over all possible values of y2. It gives us the probability density for y1 alone, without considering the value of y2.
In order to find f1(y1), we integrate f(y1, y2) with respect to y2, from 0 to infinity:
=> f1(y1) = ∫ f(y1, y2)dy2
\(= > \int f(y1, y2) = \int {e^{-(y1 y2)},dy2}\)
\(= -(1/y1)e^{-(y1 y2)}\)
= −(1/y1) * 0 + (1/y1) = 1/y1
Here it is important to note that the marginal density function must always be non-negative, since it represents a probability density.
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help me please asap thank you
Answers
Answer:
3/5
Step-by-step explanation:
The line is going up so it is positive and it is over 3 and up 5 so it would be 3/5.
Hope this helps! Sry if i get it wrong!
A person owes $1000 on a credit card that charges an interest rate of 2% per month
Answers
Credit card balance each month:
First month: 1020 .00
Second month: 1040.4 0
Third month: 1061,208
Fourth month: 1082.43
Here we have to calculate the interest and add it to capital.
That is, 2% of 1000
First month:
Interest = 1000 (2/100)
Odds1 = 1020
Second month
Capital 1020
Interest = 1020 x 0.02 = 20.4
Odds2 = 1040.4
Third month
Capital = 1040.4
Interest = 1040.4 x 0.02 = 20.808
Odds3 = 1061,208
Fourth month
Capital = 1061,208
Interest = 1061.208 x 0.02 = 21.22
Odds = 1082.43
Therefore the credit card balance each month:
First month: 1020 .00
Second month: 1040.4 0
Third month: 1061,208
Fourth month: 1082.43
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The question is incomplete. Completed question is given below:
A person owes $1000 on a credit card that charges an interest rate of 2% per month. Complete this table showing the credit card balance each month if they do not make any payments. Month total bill in dollars11,00021,02031,040.40
Which of the statements below are true? Select all that apply. A) (2, 2) is a point on the line shown B) (3,6) is a point on the line shown C) Each pack of gum costs $2.00 D) Each pack of gum costs $0.50.
Answers
Answer:
C)
Step-by-step explanation:
Is there any bias in the following survey question? Explain.
Do you prefer delicious chocolate ice cream or boring vanilla ice cream?
Answers
Answer:
yes this contains bias.
Step-by-step explanation:
the person who wrote the question included their own opinion which makes the question bias
Yes, the survey question that is delicious chocolate ice cream or boring vanilla ice cream bias.
What is bias?Bias in statistics, is a term defines "the tendency of measurement process".
According to the question,
The survey is about, you prefer delicious chocolate ice cream or boring vanilla ice cream.
In order to find is this survey is biased. Yes, the survey is biased .
Because the surveyor insists his/her own opinion in the survey by using the word 'boring' vanilla.
Hence, survey question is bias.
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Mel buys a house for £352 000
She sells the house for £325 600
Calculate the percentage loss Mel makes.
Answers
Answer:
She lost 7.5 %
Step-by-step explanation:
Here is my step by step explanation:
First you want to find out how much percentage 325,600 is compared to the original cost.
In order to do this you simply divide the two numbers by each other.
325000/325600 = 0.925 => 92.5 %
Now since 352000 was the original price that would be 100 %
So all you have to do to find the difference of them is to subtract the two percentages.
100 % - 92.5 % = 7.5 %
Therefore Mel lost 7.5 percentage of money of the original house price
Question 1 (25 points)
An isosceles triangle has a base 8.8 units long. If the congruent side lengths have measures to the first decimal place, what is
the shortest possible length of the sides?
4.5
8.9
4.3
Od
17.7
b
С
Answers
Answer:
4.5
Step-by-step explanation:
For any triangle, the basic principle for these types of problems is that the sum of the 2 shorter sides has to be greater than the longest side, otherwise it is not a triangle, even if it's equal to the longest side.
So, let's look at the first option. 4.5. Since this is an isosceles triangle and the base is 8.8 units, the other side has to be 4.5 as well. 4.5+4.5=9. 9 > 8.8. So, we can immediately eliminate options 8.9 and 17.7. What about 4.3? Well, 4.3+4.3= 8.6, but 8.6 < 8.8, so 8.6 is wrong. So, the answer is 4.5.
After four years of higher education, Julia just graduated with a Bachelor's degree in Engineering from USC where the annual cost of tuition was $22,000. She paid for college by earning $11,000 annually through the work study program and receiving an annual scholarship. She covered the remainder of the costs by taking out $12,000 in student loans. If she didn't fund her education with savings or grant money, what was the amount of Julia's annual academic scholarship?
Answers
Answer:
$32,000
Step-by-step explanation:
overall cost for 4 years was $88,000. She made $44,000 after 4 years. After all 4 years she had to take out $12,000 to pay. 88,000-44,000=44,000 44,000-12,000=32,000
Answer:
$8,000
Step-by-step explanation:
Tuition per year: $22,000
Work Study Earnings per year: $11,000
Student Loans per year: $12,000 / 4 = $3,000
Annual Academic Scholarship per year: $x
Per Year Calculations
$22,000 = $11,000 + $3,000 + $x
$x = $22,000 - $11,000 - $3,000
$x = $8,000
For the function y=1/3 + 8, what’s the input that will produce an output of 9?
Answers
Answer:
3=x
Step-by-step explanation:
9 = 1/3x + 8
-8 -8
1 = 1/3x
divide both sides by 1/3
3=x
y = 2x - 4 what is the slope
Answers
Remember that the slope-intercept equation of the line is:
\(y=mx+b\)where 'm' is the slope and b is the y-intercept.
In this case, we have the following:
\(y=2x-4\)therefore,, the slope is m = 2
Please help me, I have artblock, give me things to draw plz,
I draw furries plz don’t judge,
Answers
Answer:
Your choice :>Step-by-step explanation:
\(--------------------------------------------\)
You should make a milk tea man :D
But, if you don't want to, you can do whatever you please.
I don't judge furries btw, because I am one. :>
\(--------------------------------------------\)
Hope this helps! <3
\(--------------------------------------------\)
Answer:
Greetings fellow anthro artist :0
Art block sucks, here are some ideas-
If you have OCs, maybe you could draw them meeting their past selves, swapping outfits, spending time with their friends or significant others, or maybe something that reveals their personalities and backstories.
Otherwise, you could draw a characters going to a restaurant, sleeping, hanging out at a party, watching the stars, reading books, playing video games, chasing something or someone, driving a car, or listening to music.
Determine which set of side measurements could be used to form a triangle.
A) 15, 6, 21
B) 14, 18, 5
C) 7, 4, 2
D) 6, 24, 14
Answers
Answer:
B) 14, 18, 5
Step-by-step explanation:
This is correct
If y=a^n; then change in y/y= n(change in a/a)
Answers
So the final expression is: (change in y/y) = n (change in a/a).
We can start by taking the natural logarithm of both sides of the equation:
ln(y) = ln(aⁿ)
Using the rule that ln(aⁿ) = n ln(a), we can simplify this to:
ln(y) = n ln(a)
Next, we can take the derivative of both sides with respect to a:
d/d(a) ln(y) = d/d(a) (n ln(a))
Using the chain rule, we can simplify the right-hand side to:
d/d(a) ln(y) = n (1/a)
Now, we can multiply both sides by a/y:
a/y * d/d(a) y = n(a/y) * (1/a)
Simplifying, we get:
dy/y = n da/a
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Hunter is 1.75 meters tall. At 12 noon, he measures the length of a tree's shadow to be 30.85 meters. He stands 26.8 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answers
Answer: 13.33
Step-by-step explanation:
At a wedding there were 40 people from gromms side and 56 people from bride's family at the wedding
find the ratio of the groom's family to the bride's family at the wedding
Answers
Answer:
5 : 7
Step-by-step explanation:
groom's side: 40
bride's side: 56
ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7
Answer: 5 : 7
Explanation- 50+56 Is 106. So 106- 10=96.
There is your answer 96.
An automobile manufacturing plant produced vehicles today: were sedans, were trucks, and were motorcycles. Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles. What is the probability that two motorcycles will be selected
Answers
Answer:
120 / 561
Step-by-step explanation:
An automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans. Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.What is the probability that two motorcycles will be selected
16/34 X 15 X 33
A recipe calls for 1 2/3 cups of sugar. If you
want to triple the recipe, how much sugar do you
need?
Answers
Answer: 5
Step-by-step explanation: You have to multiply 1 2/3 and 3.
I hope this helps you out!
Answer:
5 Cups of Sugar
Step-by-step explanation:
1 * 3 = 3
2/3
2 * 3 = 6
6 / 3 = 2
2 + 3 = 5 Cups
If 3x+4=-5, what does x equal to?
Answers
First subtract 4 from both sides to isolate the 3x.
That leaves us with 3x = -9.
Since x is being multiplied by 3, to get x by itself,
we need to divide both sides of the equation by 3.
So our final answer is x = -3.
Answer:
x = -3
Step-by-step explanation:
3x + 4= -5
Subtract 4 from both sides.
3x = -9
Divide both sides by 3.
x = -3
Maria deposited $1 ,320 in an account that pays 2.29% simple interest for three years.
What will the interest be for the three years?
Answers
Answer:$90.684
Step-by-step explanation:
Simple interest =PRT/100
=1320×2.29×3/100
=$90.684