Answer:
x=12, y=8
Step-by-step explanation:
triangle ABC and triangle PQR are similar triangles as two angles are equal. The ratio of their sides are 2:1 respectively. therefore to find x you times 6 by 2, and to find y you divide 16 by 2.
I think somebody invented math just so he could torture us only awnser if you agree
Answer:
u right
Step-by-step explanation:
i need help with this im not very good at math.
Answer:
p = 10.9
Step-by-step explanation:
find value of x if x+4²
Answer:
x = - 16
Step-by-step explanation:
Value of RHS is not given. If it's 0, then,
x + 4² = 0
x = 0 - 4²
x = 0 - 16
x = - 16
_______
Hope it helps ⚜
Answer:
x = -16
Step-by-step explanation:
=> x = ?
=> x + 4² = ?
=> x + 16 = ?
=> x = -16
I HOPE IT HELPS YOU PLEASE MARK ME BRAINLIEST:)Perform operations on matrices and use matrices in applications.
(+) Add, subtract, and multiply matrices of appropriate dimensions.
1, To add A and B, we add the corresponding elements:
A + B = [[2+1, 4+3], [6+5, 8+7]] = [[3, 7], [11, 15]]
2. Using the same matrices A and B from above:
A - B = [[2-1, 4-3], [6-5, 8-7]] = [[1, 1], [1, 1]]
3. To multiply C and D, we perform the following calculations:
CD = [[58, 64], [139, 154]]
To start, let's review the basic operations on matrices:
Addition of Matrices:
To add two matrices, they must have the same dimensions (same number of rows and columns).
Add corresponding elements of the matrices to get the resulting matrix.
Example:
Let's say we have two matrices A and B:
A = [[2, 4], [6, 8]]
B = [[1, 3], [5, 7]]
To add A and B, we add the corresponding elements:
A + B = [[2+1, 4+3], [6+5, 8+7]] = [[3, 7], [11, 15]]
Subtraction of Matrices:
To subtract two matrices, they must have the same dimensions.
Subtract corresponding elements of the matrices to get the resulting matrix.
Example:
Using the same matrices A and B from above:
A - B = [[2-1, 4-3], [6-5, 8-7]] = [[1, 1], [1, 1]]
Multiplication of Matrices:
The multiplication of two matrices is possible if the number of columns in the first matrix is equal to the number of rows in the second matrix.
The resulting matrix will have the number of rows of the first matrix and the number of columns of the second matrix.
Multiply corresponding elements of the row of the first matrix with the column of the second matrix and sum them up to get each element of the resulting matrix.
Example:
Let's consider two matrices C and D:
C = [[1, 2, 3], [4, 5, 6]]
D = [[7, 8], [9, 10], [11, 12]]
To multiply C and D, we perform the following calculations:
CD = [[(17+29+311), (18+210+312)], [(47+59+611), (48+510+612)]]
= [[58, 64], [139, 154]]
These are the basic operations you can perform on matrices: addition, subtraction, and multiplication. Matrices play a crucial role in various applications such as computer graphics, optimization problems, machine learning, and physics simulations, to name a few.
Learn more about Elements from
https://brainly.com/question/25916838
#SPJ11
i’m literally incapable of math pls help
Answer:
5. It has no solution because this symbol > is greater than and it says that -1 > n>5.
-1 is not greater than 5.
Step-by-step explanation:
Have a nice day! :-)
What is the probability that a person with an iron deficiency is 20 years or older?
The probability that a person with an iron deficiency is 20 years or older is (C) 0.60.
What is probability?Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.The probability of an occurrence can be estimated using the probability formula by simply dividing the favorable number of outcomes by the entire number of possible possibilities.To find the probability that a person with an iron deficiency is 20 years or older:
According to the given table -
Favorable event = 37 + 24 = 61Total number of events = 102Probability = favourable events / Total number of events P = 61 / 102 = 0.59Which is the nearest to option (C) 0.60.Therefore, the probability that a person with an iron deficiency is 20 years or older is (C) 0.60.
Know more about probability here:
https://brainly.com/question/24756209
#SPJ4
The complete question is given below:
What is the probability that a person with an iron deficiency is 20 years or older?
(A) 0.23
(B) 0.34
(C) 0.60
(D) 0.78
Answer:
i think its b
Step-by-step explanation:
because edmentum
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
pi, and square root of 2
I don't think you're ACTUALLY going to give me brainliest
determine all ring homomorphisms from z6 to z6. determine all ring homomorphisms from z20 to z
There are no non-trivial ring homomorphisms from Z20 to Z6, where "non-trivial" refers to mappings other than the trivial homomorphism that sends every element to 0. The ring homomorphisms from Z6 to Z6 can be determined by mapping each element of Z6 to its corresponding element in Z6.
However, there are no non-trivial ring homomorphisms from Z20 to Z6. To determine the ring homomorphisms from Z6 to Z6, we need to find the mappings that preserve the ring structure. In this case, Z6 consists of the elements {0, 1, 2, 3, 4, 5}. Since Z6 is a cyclic ring, any ring homomorphism can be uniquely determined by its mapping of the generator. Let's consider the generator, 1, in Z6. It can be mapped to any element in Z6: 0, 1, 2, 3, 4, or 5. Each mapping corresponds to a different ring homomorphism. Therefore, there are six ring homomorphisms from Z6 to Z6.
On the other hand, when determining the ring homomorphisms from Z20 to Z6, we encounter a different situation. Z20 consists of the elements {0, 1, 2, 3, ..., 18, 19}. Again, we focus on the generator, 1, in Z20. However, no matter how we map the generator to an element in Z6, we cannot preserve the ring structure. This means that there are no non-trivial ring homomorphisms from Z20 to Z6, where "non-trivial" refers to mappings other than the trivial homomorphism that sends every element to 0.
Learn more about elements here: https://brainly.com/question/13094423
#SPJ11
PROFIT CALCULATIONS Marginal Revenue (MR) $30.00 Market Price ($20-70) 30.00 Marginal Cost (MC) $30.16 Total Revenue $1,950.00 Quantity (30-140) 65 Total ...
The profit calculations provided include information on marginal revenue (MR), market price, marginal cost (MC), total revenue, quantity, and total cost. The market price is stated as $30.00, while the marginal cost is slightly higher at $30.16. The total revenue is given as $1,950.00, and the quantity is listed as 65.
However, the total cost is not provided in the given information. To determine the profit, the total cost would need to be subtracted from the total revenue. Without the total cost, a definitive profit calculation cannot be made.
To calculate profit, the total cost needs to be deducted from the total revenue. Unfortunately, the total cost is not provided in the given information, so a precise profit calculation cannot be determined. Profit represents the financial gain obtained by subtracting the total cost of production from the total revenue generated. If the total cost is lower than the total revenue, a profit is generated, while if the total cost exceeds the total revenue, a loss is incurred. In this case, without knowledge of the total cost, it is not possible to determine the profit or loss incurred from the given information.
To learn more about marginal revenue: -brainly.com/question/30236294
#SPJ11
The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (3,135) and (6,270) to find the number of soda bottles the machine can make each minute.
Answer:
45 bottles per minute
Step-by-step explanation:
the number of bottles per minute would equal the rate of change, or 'slope'
the slope formula is 'the difference of the two y-values / difference of the two x-values'
(270-135) / (6-3) = 135/3 or 45 bottles per minute
Factorise:
(x - 2y)2 - 12(x - 2y) + 32
Hi there.
The answer is (x-2y-8)(x-2y-4)
Explanation:
\((x - 2y)^{2} - 12(x - 2y) + 32\)
Let (x-2y) = x
\( {x}^{2} - 12x + 32\)
Then factor the quadratic polynomial by 2 brackets factoring.
\((x - 8)(x - 4)\)
Then convert x to (x-2y)
\((x - 2y - 8)(x - 2y - 4)\)
Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
To more on Progression:
https://brainly.com/question/30442577
#SPJ8
A random sample of size 16 is to be taken from a normal population having a mean of 100 and a variance of 4. What is the 90th percentile
The 90th percentile for the random sample of size 16 taken from the normal population with a mean of 100 and a variance of 4 is approximately 100.64
To find the 90th percentile of a random sample of size 16 taken from a normal population with a mean of 100 and a variance of 4, follow these steps:
1. Identify the population mean (μ) and variance (\(σ^{2}\)). In this case, μ = 100 and \(σ^{2}=4\).
2. Calculate the population standard deviation (σ) by taking the square root of the variance: σ = √4 = 2.
3. Since the sample size (n) is 16, the standard error (SE) is calculated by dividing the population standard deviation by the square root of the sample size: \(SE= \frac{σ}{\sqrt{n} } = \frac{2}{\sqrt{16} } = \frac{2}{4} = 0.5\).
4. Next, determine the z-score corresponding to the 90th percentile. You can use a z-table or an online calculator. The z-score for the 90th percentile is approximately 1.28.
5. Multiply the z-score by the standard error: 1.28 (0.5) = 0.64.
6. Finally, add this product to the population mean: 100 + 0.64 = 100.64.
The 90th percentile for the random sample of size 16 taken from the normal population with a mean of 100 and a variance of 4 is approximately 100.64.
To know more about "mean" refer here:
https://brainly.com/question/31101410#
#SPJ11
Find 105 X 99. To find the answer
Answer:
10,395
Step-by-step explanation:
Hope this helps!! :))
One terameter equals 12 10 meters. One micrometer equals 6 10 − meter. One nanometer equals 9 10 −meter. A. Find the product of one terameter and one micrometer, using only positive exponents. B. Find the quotient of one terameter and one micrometer, using only positive exponents. C. Find the product of one terameter and one nanometer, using only positive exponents. D. Find the quotient of one terameter and one nanometer, using only positive exponents. E. Find the quotient of one nanometer and one terameter, using only positive exponents. F. Find the quotient of one nanometer and one micrometer, using only positive exponents. G. Find the product of one nanometer and one micrometer, using only positive exponents.
Answer:
a) \(x = 10^{18}\,\mu m^{2}\), b) \(x = 10^{18}\), c) \(x = 10^{21}\,\mu m^{2}\), d) \(x = 10^{21}\), e) \(x = \frac{1}{10^{21}}\), f) \(x = 10^{3}\,nm^{2}\), g) \(x = 10^{3}\,nm^{2}\)
Step-by-step explanation:
a) The product of one terameter and one micrometer is:
\(x = (1\,tm)\cdot (10^{12}\,\frac{m}{tm})\cdot (10^{6}\,\frac{\mu m}{m} ) \cdot (1\,\mu m)\)
\(x = (10^{18}\,\mu m)\cdot (1\,\mu m)\)
\(x = 10^{18}\,\mu m^{2}\)
b) The quotient of one terameter and one micrometer is:
\(x = \frac{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{6}\,\frac{\mu m}{m} )}{1\,\mu m}\)
\(x = \frac{10^{18}\,\mu m}{1\,\mu m}\)
\(x = 10^{18}\)
c) The product of terameter and one nanometer is:
\(x = (1\,tm)\cdot (10^{12}\,\frac{m}{tm})\cdot (10^{9}\,\frac{nm}{m} ) \cdot (1\,nm)\)
\(x = (10^{21}\,nm)\cdot (1\,nm)\)
\(x = 10^{21}\,\mu m^{2}\)
d) The quotient of one terameter and one nanometer is:
\(x = \frac{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{9}\,\frac{nm}{m} )}{1\,nm}\)
\(x = \frac{10^{21}\,nm}{1\,nm}\)
\(x = 10^{21}\)
e) The quotient of one nanometer and one terameter is:
\(x = \frac{1\,nm}{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{9}\,\frac{nm}{m} )}\)
\(x = \frac{1\,nm}{10^{21}\,nm}\)
\(x = \frac{1}{10^{21}}\)
f) The quotient of one nanometer and one micrometer is:
\(x = \frac{1\,nm}{(1\,\mu m)\cdot (10^{3}\,\frac{nm}{\mu m} )}\)
\(x = \frac{1\,nm}{10^{3}\,nm}\)
\(x = \frac{1}{10^{3}}\)
g) The product of one nanometer and one micrometer is:
\(x = (1\,nm)\cdot (1\,\mu m)\cdot (10^{3}\,\frac{nm}{\mu m} )\)
\(x = 10^{3}\,nm^{2}\)
Find the equation of the quadratic function f whose graph is shown below.
The equation of the quadratic function f(x) = -x² - x - 10
Describe Quadratic Function?Quadratic functions are characterized by a U-shaped graph called a parabola. The direction and shape of the parabola depend on the sign of the coefficient a. If a is positive, the parabola opens upwards, and if a is negative, the parabola opens downwards.
To find the equation of the quadratic function f, we can use the standard form of the quadratic equation:
f(x) = ax^2 + bx + c
where a, b, and c are constants.
We know that the parabola passes through the points (2, -7) and (3, -4), so we can plug these coordinates into the equation to form two equations:
-7 = 4a + 2b + c (equation 1)
-4 = 9a + 3b + c (equation 2)
We also know that the graph of f is a parabola, which means it has the shape of a quadratic function. This means that the vertex of the parabola lies at the axis of symmetry, which is the line x = (2 + 3) / 2 = 2.5. Therefore, the x-coordinate of the vertex is 2.5.
The x-coordinate of the vertex of a quadratic function in standard form is given by:
x = -b / 2a
Since the x-coordinate of the vertex is 2.5, we can plug this value into the equation to get:
2.5 = -b / 2a
Multiplying both sides by 2a, we get:
5a = -b
Now we have three equations with three unknowns (a, b, and c). We can use substitution or elimination to solve for them. One way is to solve for b in terms of a, and then substitute that into equations 1 and 2:
b = -5a
-7 = 4a - 10a + c
-4 = 9a - 15a + c
Simplifying each equation, we get:
c = 3a - 7 (equation 3)
c = 6a - 4 (equation 4)
Setting equation 3 and 4 equal to each other, we get:
3a - 7 = 6a - 4
Solving for a, we get:
a = -1
Substituting this value of a into equation 3, we get:
c = 3(-1) - 7 = -10
Finally, substituting a = -1 and c = -10 into equation 1, we get:
-7 = 4(-1) - 2(5) - 10 + b
Simplifying and solving for b, we get:
b = -1
Therefore, the equation of the quadratic function f is:
f(x) = -x^2 - x - 10
To know more about function visit:
https://brainly.com/question/10500042
#SPJ1
I need help again ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
False
True
True
A candle maker is ordering wax. Each small candle uses 12 ounces of wax. Each large candle uses 18 ounces of wax. The candle maker wants to make 42 small candles and 38 large candles.
Which answer is the most reasonable estimate of the total amount of wax needed?
Answer:
1188
Step-by-step explanation:
12x42 + 18x38 = 1188
What is the confidence level of a study with 72 scores and a standard deviation of 2.9?
The confidence level of the study with 72 scores and a standard deviation of 2.9 is approximately 97.5%. This means that we can be 97.5% confident that the findings of the study accurately represent the larger population.
The confidence level of a study refers to the level of certainty or reliability that can be placed on the results obtained from the study. It is often expressed as a percentage and indicates the likelihood that the findings of the study are representative of the larger population.
To calculate the confidence level, we need to know the sample size, the standard deviation, and the desired level of confidence. In this case, the sample size is 72 and the standard deviation is 2.9. The level of confidence is typically expressed as a percentage and is denoted by the Greek letter alpha (α). Common levels of confidence include 90%, 95%, and 99%.
To calculate the confidence level, we use the following formula:
Confidence Level = 1 - (α/2)
Where α/2 is the significance level, which is equal to (1 - Confidence Level)/2. Let's assume a desired confidence level of 95%. Using the formula, we can calculate the significance level as follows:
Significance Level =
(1 - 0.95)/2
= 0.025
To find the confidence level, we need to look up the critical value associated with the significance level in the standard normal distribution table (also known as the z-table). For a two-tailed test, the critical value is the positive z-value that corresponds to the significance level.
Looking up the z-value associated with a significance level of 0.025 in the z-table, we find a value of approximately 1.96. Now, we can calculate the confidence level:
Confidence Level =
1 - (0.025) =
0.975
To express the confidence level as a percentage, we multiply by 100:
Confidence Level =
0.975 * 100 =
97.5%
Therefore, the confidence level of the study with 72 scores and a standard deviation of 2.9 is approximately 97.5%. This means that we can be 97.5% confident that the findings of the study accurately represent the larger population.
Know more about Confidence Level
https://brainly.com/question/22851322
#SPJ11
The confidence level of the study with 72 scores and a standard deviation of 2.9 is approximately 97.5%. This means that we can be 97.5% confident that the findings of the study accurately represent the larger population.
The confidence level of a study refers to the level of certainty or reliability that can be placed on the results obtained from the study. It is often expressed as a percentage and indicates the likelihood that the findings of the study are representative of the larger population.
To calculate the confidence level, we need to know the sample size, the standard deviation, and the desired level of confidence. In this case, the sample size is 72 and the standard deviation is 2.9. The level of confidence is typically expressed as a percentage and is denoted by the Greek letter alpha (α). Common levels of confidence include 90%, 95%, and 99%.
To calculate the confidence level, we use the following formula:
Confidence Level = 1 - (α/2)
Where α/2 is the significance level, which is equal to (1 - Confidence Level)/2. Let's assume a desired confidence level of 95%. Using the formula, we can calculate the significance level as follows:
Significance Level =
\((1 - 0.95)/2\\= 0.025\)
To find the confidence level, we need to look up the critical value associated with the significance level in the standard normal distribution table (also known as the z-table). For a two-tailed test, the critical value is the positive z-value that corresponds to the significance level.
Looking up the z-value associated with a significance level of 0.025 in the z-table, we find a value of approximately 1.96. Now, we can calculate the confidence level:
Confidence Level =
\(1 - (0.025) =0.975\)
To express the confidence level as a percentage, we multiply by 100
Confidence Level =
\(0.975 * 100 =\\97.5%\)
Therefore, the confidence level of the study with 72 scores and a standard deviation of 2.9 is approximately 97.5%. This means that we can be 97.5% confident that the findings of the study accurately represent the larger population.
Know more about Confidence Level
brainly.com/question/22851322
#SPJ11
A dollar store has five checkout lanes. The clerks in each lane have the same abilities, with each clerk being able to checkout a customer in 3 minutes on average. At its busiest times, customers to the dollar store arrive at the checkout counters at the rate of 70 per hour. 3 Click the icon to view the Lg values for the queuing model. a. The average waiting time if all 5 checkout lanes are being used is minutes. (Enter your response rounded to four decimal places.)
the average waiting time cannot be determined when all five checkout lanes are being used.
To calculate the average waiting time when all five checkout lanes are being used, we can use queuing theory and the Little's Law formula.
Little's Law states that the average number of customers in a system (L) is equal to the average arrival rate (λ) multiplied by the average time a customer spends in the system (W).
L = λ * W
Given:
Number of checkout lanes (m) = 5
Average checkout time per customer (μ) = 3 minutes (since each clerk takes 3 minutes on average to checkout a customer)
Arrival rate (λ) = 70 customers per hour
First, we need to calculate the arrival rate per lane when all five lanes are being used. Since there are five lanes, the arrival rate per lane will be λ/m:
Arrival rate per lane = λ / m
= 70 customers per hour / 5 lanes
= 14 customers per hour per lane
Next, we can calculate the average time a customer spends in the system (W) using the formula:
W = 1 / (μ - λ)
where μ is the average service rate and λ is the arrival rate per lane.
W = 1 / (3 - 14)
W = 1 / (-11)
W = -1/11 (since the service rate is smaller than the arrival rate, resulting in negative waiting time)
However, negative waiting time is not meaningful in this context. It indicates that the system is not stable or the service rate is insufficient.
To know more about number visit;
brainly.com/question/3589540
#SPJ11
Which graph represents y=x?
Answer:
the first one is correct
Step-by-step explanation:
Helpppppppppppp meeeeeeeeeeeeeeeeee
What is the role of opportunity cost in decision-making?
Opportunity Cost can be defined as the benefit foregone related to the choice when a decision is made.
In other words, an opportunity cost is a regret you anticipate from not taking another option. For example, if you spend your time studying for an exam in Hindi, the opportunity cost would be the time you could have spent studying another subject.
This concept acknowledges not just the explicit costs of a choice but also the implicit costs of what you forgo when you make that decision. Opportunity cost provides a framework for decision-making to find the most benefit, particularly for limited resources like time and money.
Read more about the opportunity cost
brainly.com/question/3611557
Find the area of the parallelogram with the given vertices. k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), n(6, 7, 3).
The area of the parallelogram is \(\sqrt{132}\).
What is a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.
Given that,
vertices k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), and n(6, 7, 3)
Area of Parallelogram = |KL × KN|
KL = (1, 1, 3) - (1, 3, 5) = (0, 2, 2)
KN = (1, 2, 3) - (3, 7, 3) = (2, 5, 0)
Area of the parallelogram = cross product of two vectors, represented by the adjacent sides.
Area of Parallelogram = |(0, 2, 2) × (2, 5, 0)|
= |i(2 × 0 - 5 × 2) - j(0 × 0 - 2 × 2) + k(0 × 5 - 2 × 2)|
= |i(-10) - j(-4) + k(-4)|
= |-10i + 4j - 4k|
= \(\sqrt{(-10)^{2}+(4)^{2}+(-4)^{2} }\)
= \(\sqrt{100+16+16}\)
= \(\sqrt{132}\)
Hence, The area of the parallelogram is \(\sqrt{132}\).
To learn more about the parallelogram from the given link:
https://brainly.com/question/970600
#SPJ4
A local movie theater is premiering two movies in one night. From the customers who attended that night, 58% chose to see Movie A, and the other 42% chose to see Movie B. Of those that chose Movie A, 61% enjoyed it. Of those that chose Movie B, 26% enjoyed it. Calculate the joint probability that a randomly selected customer chose Movie A and did not enjoy it. (Hint: Creating a probability tree may help)
The joint probability that a randomly selected customer chose Movie A and did not enjoy it is 0.2262 or approximately 0.23.
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
To solve this problem, we can use a probability tree to visualize the information given:
We can see that the joint probability of a customer choosing Movie A and not enjoying it is the product of the probabilities along the "Did not enjoy" branch of the Movie A path:
```
P(Choose Movie A and Did Not Enjoy) = P(Movie A) x P(Did not enjoy | Movie A)
= 0.58 x 0.39
= 0.2262
```
Therefore, the joint probability that a randomly selected customer chose Movie A and did not enjoy it is 0.2262 or approximately 0.23.
Learn more about probability on:
https://brainly.com/question/13604758
#SPJ4
Solve dy/dx=1/3(sin x − xy^2), y(0)=5
The general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is: y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5
To solve this differential equation, we can use separation of variables.
First, we can rearrange the equation to get dy/dx on one side and the rest on the other side:
dy/dx = 1/3(sin x − xy^2)
dy/(sin x - xy^2) = dx/3
Now we can integrate both sides:
∫dy/(sin x - xy^2) = ∫dx/3
To integrate the left side, we can use substitution. Let u = xy^2, then du/dx = y^2 + 2xy(dy/dx). Substituting these expressions into the left side gives:
∫dy/(sin x - xy^2) = ∫du/(sin x - u)
= -1/2∫d(cos x - u/sin x)
= -1/2 ln|sin x - xy^2| + C1
For the right side, we simply integrate with respect to x:
∫dx/3 = x/3 + C2
Putting these together, we get:
-1/2 ln|sin x - xy^2| = x/3 + C
To solve for y, we can exponentiate both sides:
|sin x - xy^2|^-1/2 = e^(2C/3 - x/3)
|sin x - xy^2| = 1/e^(2C/3 - x/3)
Since the absolute value of sin x - xy^2 can be either positive or negative, we need to consider both cases.
Case 1: sin x - xy^2 > 0
In this case, we have:
sin x - xy^2 = 1/e^(2C/3 - x/3)
Solving for y, we get:
y = ±√[(sin x - 1/e^(2C/3 - x/3))/x]
Note that the initial condition y(0) = 5 only applies to the positive square root. We can use this condition to solve for C:
y(0) = √(sin 0 - 1/e^(2C/3)) = √(0 - 1/e^(2C/3)) = 5
Squaring both sides and solving for C, we get:
C = 3/2 ln(1/25)
Putting this value of C back into the expression for y, we get:
y = √[(sin x - e^(x/2)/25)/x]
Case 2: sin x - xy^2 < 0
In this case, we have:
- sin x + xy^2 = 1/e^(2C/3 - x/3)
Solving for y, we get:
y = ±√[(e^(2C/3 - x/3) - sin x)/x]
Again, using the initial condition y(0) = 5 and solving for C, we get:
C = 3/2 ln(1/25) + 2/3 ln(5)
Putting this value of C back into the expression for y, we get:
y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x]
So the general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is:
y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5
y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x], if sin x - xy^2 < 0 and y(0) = 5
Note that there is no solution for y when sin x - xy^2 = 0.
Visit here to learn more about differential equation : https://brainly.com/question/14620493
#SPJ11
Can someone plz help me?
Answer: C
Pt. C is at coordinate point (2,1)
The distance between A and C is 4 units (or boxes).
Make a prediction about what might happen if you have ten birds.
Answers:
1.There is no relationship.
2.You'll have nine angry neighbors.
3.You'll have either five or six angry neighbors.
4.You'll have six angry neighbors.
5.You'll have either seven or eight angry neighbors.
The prediction about what might happen if you have ten birds will be 5. You'll have either seven or eight angry neighbors
What is a word problem?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
In this case, it should be noted that as the number of birds increase, the number of angry neighbor increased too. Therefore, the prediction about what might happen if you have ten birds will be that you'll have either seven or eight angry neighbors.
Learn more about word problem on:
https://brainly.com/question/21405634
#SPJ1
Hace 8 años, Maria tenía 10 años y Luis 11 años. Dentro de 7 años, Nico tendrá 27 años ¿cuanto es la suma de las edades actuales de Maria Luis y Nico?
Their ages are given below:
Maria 18, Luis 19 Nico 20The sum of their ages would be 57 years.
How to find their ages?The current age of Nico is 27 - 7 = 20 years.
Therefore, Maria and Luis's current ages would be 8 years older than when they were 10 and 11 respectively,
so Maria is currently 18 years old and Luis is currently 19 years old.
Therefore, the sum of their current ages is 18 + 19 + 20 = 57 years.
Read more about word problems here:
https://brainly.com/question/13818690
#SPJ1
8 years ago, Maria was 10 years old and Luis was 11 years old. In 7 years Nico will be 27 years old, what is the sum of the current ages of Maria, Luis and Nico?
Q 42 - The proportion of salary of An and B is 5:3 and that of their use is 9:5. On the off chance that they spare Rs. 2600 and Rs. 1800, then their livelihoods are: A-9000, 5400 B-10000, 6000 C-6000, 3600
Answer: Let's solve this problem step by step.
First, let's assume the salaries of An and B to be 5x and 3x, respectively, where x is a common multiplier.
According to the given information, they save Rs. 2600 and Rs. 1800, respectively. Since savings come from the remaining portion of their incomes after spending, we can calculate their expenditures as follows:
For An:
Income of An = Salary of An + Savings of An
Income of An = 5x + 2600
For B:
Income of B = Salary of B + Savings of B
Income of B = 3x + 1800
Now, let's consider the proportion of their expenditures. It is given that the proportion of their expenditures is 9:5. So, we can write the following equation:
(Expenditure of An)/(Expenditure of B) = 9/5
Since expenditure is the complement of savings, we have:
[(Income of An - Savings of An)] / [(Income of B - Savings of B)] = 9/5
Substituting the previously derived expressions for income, we get:
[(5x + 2600 - 2600)] / [(3x + 1800 - 1800)] = 9/5
Simplifying the equation, we have:
5x / 3x = 9/5
Cross-multiplying, we get:
5 * 3x = 9 * 3x
15x = 27x
Subtracting 27x from both sides, we have:
0 = 12x
This implies that x = 0, which is not a valid solution. Therefore, there seems to be an error or inconsistency in the given information or equations. Please recheck the problem statement or provide additional information to help resolve the issue.