Answer:
(0,10)
Step-by-step explanation:
All of the other answers dont make sense or are false so it makes (0,10) the only correct answer.
The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible thus options (A) and (B) is correct.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
As per the given,
Hardcover books cost $5 each and paperbacks cost $2 each.
The number of hardcover books is x while paperbacks are y
Thus,
Total cost = 5x + 2y
5x + 2y ≤ 20
The x and y is the whole number so they will never be negative or in fractions.
Therefore, The pair which satisfies the above expression is (2,5) and (0,10).
Hence "The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible".
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A principal wishes to implement a decision that has to be a number between 0 and 1; that is, a decision d needs to be implemented where 0 sdS1. The difficulty for the principal is that she does not know what decision is appropriate given the current state of the economy, but she would like to implement a decision that exactly equals what is required given the state of the economy. In other words, if the economy is in state s (where 0 sS 1) the principal would like to implement a decision d s as the principal's utility Up (or loss from the maximum possible profit) is given by Up--s-d With such a utility function, maximising utility really means making the loss as small as possible. For simplicity, the two possible levels of s are 0.4 and 0.7, and each occurs with probability 0.5 There are two division managers A and B who each have their own biases. Manager A always wants a decision of 0.4 to be implemented, and incurs a disutility Ua that is increasing the further from 0.4 the decision d that is actually implement, specifically U-0.4-d.Similarly, Manager B always wants a decision of 0.7 to be implement, and incurs a disutility UB that is (linearly) increasing in the distance between 0.7 and the actually decision that is implemented - that is Ug--10.7 Each manager is completely informed, so that each of them knows exactly what the state of the economy s is (a) The principal can opt to centralise the decision but before making her decision given she does not know what the state of the economy is - she asks for recomm endation s from her two division mana gers. Centralisation means that the principal commits to implement a decision that is the average of the two recommendations she received from her managers. The recommendations are sent simultaneously and cannot be less than 0 or greater than 1 Assume that the state of the economy s = 0.7. What is the report (or recommendation) that Manager A will send if Manager B always truthfully reports s? (b) Again the principal is going to centralise the decision and will ask for a recommendation from both managers, as in the previous question. Now, however assume that both managers strategically make their recommendations. What are the recommendations rA and rB made by the Managers A and B, respectively, in a Nash equilibriunm
A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.
To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.
Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
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a metal cone has a base with a radius of 9 inches and a height of 12 inches. The cone is melted and turned into a cylinder with the same base. What is the height of the cylinder?
HELP PLEAES I NEED IT NOW
Square tiles (12 inches by 12 inches) are used to cover a rectangular countertop containing 40 square feet. How many tiles are needed to cover the countertop?
Answer:
40 square feet tiles.
Step-by-step explanation:
It may help to have a visual. Anyways, if the countertop contains 40 square feet, that means the area is 40 square feet. Keep in mind that 12 inches = 1 foot. So if we have 1 foot squared tiles and we need to find how many tiles it takes to cover the countertop, we use division. 40 square feet ÷ 1 square feet tiles = 40 square feet tiles.
Answer:
It would take 40
Step-by-step explanation:
12 inches = 1 foot
1 foot by 1 foot square tiles
And 40 square feet so
1 x 40 = 40
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
When one set of numbers in a measurement goes up as another set of numbers goes down, the two sets of numbers exist in a ______.
When one set of numbers in a measurement goes up as another set of numbers goes down, the two sets of numbers exist in an inverse relationship.
An inverse relationship occurs when there is a consistent pattern between two sets of numbers, where one set increases while the other decreases. This relationship can be observed in various scenarios and is often represented graphically as a downward-sloping line. In mathematics, this relationship is expressed using negative correlation coefficients or negative slopes. It implies that as one variable increases, the other variable decreases at a corresponding rate.
For example, consider the relationship between the price and demand for a product. As the price of a product increases, the demand for that product tends to decrease. This is known as the law of demand in economics. Similarly, in physics, the relationship between speed and time can exhibit an inverse relationship. As time decreases, speed tends to increase.
Overall, an inverse relationship between two sets of numbers indicates that they move in opposite directions. When one set of numbers increases, the other set decreases, and vice versa.
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I am doing an assignment with length. i was wandering what the best way of going about measuring the height of a stack of 1,000 ponies?
To measure the height of a stack of 1,000 ponies:
1. Decide on the unit of measurement (meters, feet, etc.).
2. Prepare a suitable measuring tool.
3. Arrange the ponies in a stable stack.
4. Position the measuring tool vertically alongside the stack and measure from the base to the highest point.
5. Record the measurement in the chosen unit.
To measure the height of a stack of 1,000 ponies, you can use the following steps:
1. Determine the unit of measurement: Before measuring the height, it is important to decide on the unit of measurement that you will be using. Common units for measuring height include meters, feet, or centimeters.
2. Prepare a measuring tool: Depending on the unit of measurement you have chosen, you will need a suitable measuring tool. For example, if you are using meters, you can use a measuring tape or a ruler marked in meters. If you are using feet, a yardstick or measuring tape marked in feet would be appropriate.
3. Arrange the ponies: Make sure the stack of ponies is stable and secure. You can align them in a straight line or stack them on top of each other.
4. Measure the height: Position your measuring tool vertically alongside the stack of ponies. Start from the base of the stack and measure up to the highest point. Ensure that your tool is perpendicular to the ground and the stack of ponies for accurate measurement.
5. Record the measurement: Once you have determined the height, write down the measurement in the chosen unit. For example, if the stack of ponies measures 3 meters, record it as 3m.
It is important to note that the accuracy of your measurement may depend on factors such as the alignment and stability of the ponies in the stack. Also, consider rounding your measurement to an appropriate level of precision based on the measuring tool you are using.
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When a random representative sample is drawn from a population, the procedure is deemed to be what type of sample?
The procedure which is deemed to be the type of sample in discuss is; representative sample are free of bias.
What is a random sampling?Representative sampling and random sampling are two techniques used to help ensure data is free of bias. A representative sample on the other hand is a group or set chosen from a larger statistical population according to specified characteristics. A random sample is a group or set chosen in a random manner from a larger population.
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help!!! hurry......-_-
Replace x and y’all with the point and solve the equations
1. 2(0.5)+ 4(-6.75) = 1 + -27 = -26
This is true so is an answer.
2. Y = 0.5-7.5 = -7, -7 is not -6.75 so this is not true.
3. 2(-6.75) = 0.5 + 13
13.5 = 13.5
This is true so is also an answer.
4. -6.75 = 0.5(0.5) -7
-6.75 = 0.25-7
This is true so also an answer.
Answers are 1, 3 and 4
Answer:
Equation 1 and 4
Step-by-step explanation:
Point = (x,y) = (0.5,-6.75)
Hence,
x = 0.5 , y = -6.75
Equation 1:
2(0.5) + 4(-6.75) = -26
1 - 27 = -26
-26 = -26
This equation is true for the given point.
Equation 2:
-6.75 = 0.5 - 7.5
-6.75 ≠ -7
The equation is not true for the given point.
Equation 3:
2 (-6.75) = 0.5 + 13
-13.5 ≠ 13.5
The equation is not true for the given point.
Equation 4:
-6.75 = 0.5(0.5) - 7
-6.75 = 0.25 - 7
-6.75 = -6.75
This equation is true for the given point.
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Peace!Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
The area of the shaded region is
The area of the shaded region is given as follows:
0.0475.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for the IQ scores are given as follows:
\(\mu = 100, \sigma = 15\)
The shaded region is the area to the right of 125, hence it's area is one subtracted by the p-value of Z when X = 125, hence:
Z = (125 - 100)/15
Z = 1.67
Z = 1.67 has a p-value of 0.9525.
Hence:
1 - 0.9525 = 0.0475.
Missing InformationThe shaded region is the area to the right of 125.
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Find the values of x and y.
Answer:
x=6, y=75
Step-by-step explanation:
Since the diameter of the circle is a perpendicular bisector to the chord, x and 6 must be equal and therefore x=6. It also bisects the arc, meaning that y=75. Hope this helps!
The Scale Factor between two
similar Triangles is 3.
What is the Scale Factor for their
Perimeters?
Answer:
3
Step-by-step explanation:
Just multiply all sides by 3 since the scale factor is 3
What number is greater than 4.353 but less than 4.47 ?
Answer:
4.36 to 4.46
good luck buddy
What is the compound ratio of 3:4 and 4:5?
Find the value of x when (a) 9 : x : : 54 : 48 (b) 2, 6 , x are in continued proportion
Answer:
a) x = 8
b) x = 18
Step-by-step explanation:
Given that
9 : x : : 54 : 48
This may be rewritten as
9/x = 54/48
cross multiply
9 * 48 = 54 * x
Divide both sides by 54
x = 9 * 48/54
= 8
b Given that 2, 6, x are in continued proportion then
2/6 = 6/x
2 * x = 6 * 6
x = 36/2
= 18
A. Factor out the GCF: 〖3t〗^4-〖6t〗^3-9t+12
B. Use the Distributive Method to factor: g^2-5g-14
C. Factor: r^2-64
D. Factor: 〖9p〗^2-42p+49
E. Use the Box Method to factor: d^2-18d+45
F. Factor Completely: 〖4d〗^3-〖6d〗^2-4d
SHOW ALL YOUR WORK
These are answers of asked question.
A. To factor out the Greatest Common Factor (GCF) of the expression 3t^4 - 6t^3 - 9t + 12, we need to identify the highest power of t that can be factored out. In this case, the GCF is 3t. So we can rewrite the expression as follows:
3t^4 - 6t^3 - 9t + 12 = 3t(t^3 - 2t^2 - 3) + 3t(4)
The GCF, 3t, is factored out from the first two terms, leaving us with t^3 - 2t^2 - 3. The last term, 12, is divisible by 3t, so it becomes +3t(4). Therefore, the factored form of the expression is:
3t(t^3 - 2t^2 - 3) + 3t(4)
B. To factor the expression g^2 - 5g - 14 using the Distributive Method, we look for two numbers whose product is -14 and whose sum is -5 (the coefficient of the middle term). In this case, -7 and +2 satisfy these conditions. So we can rewrite the expression as follows:
g^2 - 5g - 14 = (g - 7)(g + 2)
Using the Distributive Property, we multiply (g - 7) by (g + 2) to verify the factoring:
(g - 7)(g + 2) = g(g) + g(2) - 7(g) - 7(2) = g^2 + 2g - 7g - 14 = g^2 - 5g - 14
Therefore, the factored form of the expression is:
(g - 7)(g + 2)
C. To factor the expression r^2 - 64, we can use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b). In this case, a = r and b = 8, since 8^2 = 64. So we can rewrite the expression as follows:
r^2 - 64 = (r + 8)(r - 8)
Using the difference of squares formula, we can multiply (r + 8) by (r - 8) to verify the factoring:
(r + 8)(r - 8) = r(r) - r(8) + 8(r) - 8(8) = r^2 - 8r + 8r - 64 = r^2 - 64
Therefore, the factored form of the expression is:
(r + 8)(r - 8)
D. To factor the expression 9p^2 - 42p + 49, we look for two numbers whose product is 49 and whose sum is -42 (the coefficient of the middle term). In this case, -7 and -7 satisfy these conditions. So we can rewrite the expression as follows:
9p^2 - 42p + 49 = (3p - 7)(3p - 7)
Using the Distributive Property, we multiply (3p - 7) by (3p - 7) to verify the factoring:
(3p - 7)(3p - 7) = 3p(3p) - 3p(7) - 7(3p) - 7(7) = 9p^2 - 21p - 21p +
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4. Chef finds that the children at Kennedy Elementary school drink 6 fl. oz. of milk with breakfast and 12 fl. oz. of milk for lunch. There are 212 students in grades 1 through 3 that eat the school lunch daily. 48 students come to breakfast. The kindergarten class has 8 fl. oz. of milk for snack time and they do not have breakfast or lunch. There are 38 kindergarten students. How many gallons of milk does Chef need daily?
Answer:
24.5 gallons of milk
Step-by-step explanation:
To calculate the total amount of milk needed daily, we need to find the total amount of milk consumed by all the students and convert it into gallons.
For grades 1 through 3, the total amount of milk consumed daily at lunch is:
12 fl. oz. x 212 students = 2,544 fl. oz.
For breakfast:
6 fl. oz. x 48 students = 288 fl. oz.
For kindergarten snack time:
8 fl. oz. x 38 students = 304 fl. oz.
Adding up all these amounts gives us the total amount of milk consumed daily:
2,544 fl. oz. + 288 fl. oz. + 304 fl. oz. = 3,136 fl. oz.
To convert this to gallons, we need to divide by 128 (the number of fluid ounces in a gallon):
3,136 fl. oz. ÷ 128 = 24.5 gallons (rounded to the nearest tenth)
Therefore, Chef needs approximately 24.5 gallons of milk daily to serve all the students.
1.39 - 0.28 =
What is the answer
Answer:
1.11 is the answer
Best of luck
Step-by-step explanation:
G G 2x+4y=12
Please explain it to me
Answer:
2×4=8 + 4 = 12 y stands firm you do the y part 2 times
what is the main difference between the dot product and the cross product? how does orthogonality relate to both results?
The dot product is a scalar quantity that represents the projection of one vector onto another, and can be used to calculate the angle between two vectors.
The cross product is a vector quantity that represents the magnitude and direction of the orthogonal projection of one vector onto another. Orthogonality is related to both results in that the dot product of two orthogonal vectors is zero, while the cross product of two parallel vectors is also zero. In addition to that, the cross product of two non-zero vectors results in a third vector that is orthogonal to both.
The dot product is a scalar product that calculates the projection of one vector onto another. The cross product is a vector product that calculates the orthogonal component of one vector with respect to another.
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Sara paid $20 to join Planet Fitness. She then pays a monthly fee.Her total cost for 24 months was $260. What was the monthly fee that she paid?
What order do I put the numbers in
We have following associations:
m ∠ADC + m ∠CDB = 180° → Definition of linear pair∠ADC is supplementary to ∠CDB → Definition of supplementary angles 2 · m ∠BDC = 180° → Substitution property of equalitym ∠BDC = 90° → Division property of equalityHow to complete the proof of a geometric theorem
In this question we need to fill the blanks of a given proof by understanding and taking advantage of the most important axioms and theorems of Euclidean geometry and real algebra. In this case, a linear pair is the combination of two angles whose sum equals 180°, and those angles are always supplementary.
Thus, we have following associations:
m ∠ADC + m ∠CDB = 180° → Definition of linear pair∠ADC is supplementary to ∠CDB → Definition of supplementary angles 2 · m ∠BDC = 180° → Substitution property of equalitym ∠BDC = 90° → Division property of equalityTo learn more on Euclidean theorem: https://brainly.com/question/13104788
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Examine the results in the table below. Suppose that a Mediterranean diet truly reduces the risk of ovarian cancer. What sources of bias most likely accounted for the null or nearly null findings?
A Mediterranean diet truly reduces the risk of ovarian cancer, it's essential to consider selection bias, measurement bias, confounding factors, and sample size.
By addressing these sources of bias, the study's validity and reliability can be improved.
1. Selection bias: If the study participants were not randomly selected or did not represent the general population, this could lead to null findings. To address this, ensure proper randomization and representativeness of the sample.
2. Measurement bias: If there were inaccuracies in measuring the adherence to the Mediterranean diet or the occurrence of ovarian cancer, it could lead to null findings. To address this, use standardized and validated tools for measuring both the exposure and the outcome.
3. Confounding factors: If other factors that affect the relationship between the Mediterranean diet and ovarian cancer were not controlled for in the analysis, this could lead to null findings. To address this, identify and control for potential confounders in the study design or statistical analysis.
4. Small sample size: If the study had a small sample size, it might not have enough power to detect a true association between the Mediterranean diet and ovarian cancer, leading to null findings. To address this, ensure that the sample size is large enough to provide sufficient statistical power.
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The line is translated 2 units down which equation will best describes the new line
Answer:
The y intercept should be 2 lower than the original equation
Step-by-step explanation:
What is the sum of -12, 5, and -10?
0-27
0-17
O 17
O 27
Answer:
The answer is -17
Step-by-step explanation:
Add all the numbers together:
-12-10 is -22
Then -22+5= -17
If we start with 5 cells, and each cell divides in two every 15 minutes, how many total after 1 hour?
Answer:
The answer is 80 cells
Use the following image to answer the question.
Four angles formed by intersecting lines m and n. Angles are labeled clockwise from left: angle 1, angle 2, angle 3, and angle 4.
What statement can be used to prove that vertical angles ∠1 and ∠3 are congruent?
A.) m∠1+m∠3=m∠2+m∠4
B.) m∠1=m∠2 and m∠2=m∠3
C.) m∠1+m∠2=m∠2+m∠3
D.) m∠1=m∠4 and m∠2=m∠3
The answer is C.) m∠1+m∠2=m∠2+m∠3
Answer:
its D
Step-by-step explanation:
i took the quiz
Can someone pleaseeee help and if you’re correct i’ll give brainliest
v= 8 km
refer to the attachment for explaination
Mathematics Grade 11 Capricom Sou SECTION A Part 1 Solve for x in the following equation by using exponential rules 1. 27**** = 3³x² x 9
The solution to the expression is x = 1/9
How to determine the solution to the expressionFrom the question, we have the following parameters that can be used in our computation:
27**** = 3³x² x 9
Express properly
27 = 3³x² * 9
We can start solving this equation by rearranging it to isolate the variable x:
27 = 243x
Now we divide both sides by 243 to find x
x = 27/243
Evaluate
x = 1/9
Hence, the solution is 1/9
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Suppose that I have a sample of 25 women and they spend an average of $100 a week dining out, with a standard deviation of $20. The standard error of the mean for this sample is $4. Create a 95% confidence interval for the mean and wrap words around your results.
We can say with 95% confidence that the true mean amount that women in the population spend dining out per week lies within the range of $91.74 to $108.26.
Based on the given information, we can calculate a 95% confidence interval for the mean amount that women in the population spend dining out per week. With a sample size of 25 and a standard error of $4, we can use the formula:
95% CI = sample mean +/- (critical value x standard error)
To find the critical value, we need to look up the t-distribution with degrees of freedom (df) = n-1 = 24 and a significance level of alpha = 0.05/2 = 0.025 (since we are interested in a two-tailed test). From a t-table or calculator, we find that the critical t-value is approximately 2.064.
Plugging in the values, we get:
95% CI = $100 +/- (2.064 x $4)
95% CI = $100 +/- $8.26
95% CI = ($91.74, $108.26)
Therefore, we can say with 95% confidence that the true mean amount that women in the population spend dining out per week lies within the range of $91.74 to $108.26. This means that if we were to repeatedly take random samples of 25 women and calculate their mean amount spent dining out, about 95% of the intervals we construct using this method would contain the true population mean.
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an observation that is two standard deviations above the expected value of the sum is 266.6667 . the probability that the sum is larger than 256 is
Given an observation that is two standard deviations above the expected value of the sum is 266.6667. The probability that the sum is larger than 256 is 0.0848 (approx).
The given observation is two standard deviations above the expected value of the sum. It means that the given observation is 2σ above the mean value. It implies the following relation:
(given value - expected value)/σ = 2
Putting the given values, we get
266.6667 - expected value)/σ = 2
⟹ (266.6667 - expected value)/σ = 2
⟹ 133.33335 - expected value = 2σσ
= (266.6667 - expected value)/2
Substitute σ in the above equation.
⟹ 133.33335 - expected value = (266.6667 - expected value)/2
⟹ 266.6667 - 2 × expected value = 266.6667/2 - 133.33335
⟹ 2 × expected value = 133.33335 - 266.6667/2
⟹ expected value = (133.33335 - 266.6667/2)/2
⟹ expected value = 59.99997
Now, we need to find the probability that the sum is larger than 256.Z = (X - μ) / σZ = (256 - 59.99997) / (266.6667/2)Z = 1.3745736
Probability, P(Z > 1.3745736) = 0.0848300
Therefore, the probability that the sum is larger than 256 is 0.0848 (approx).
Note: In the above solution, we have not used the standard deviation value given in the question. Rather we have found it using the given observation and expected value. This is because it is easy to find the expected value using the given data. Once we have expected value and observation, we can find the standard deviation using the relation (given value - expected value)/σ = 2.
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The function p(x) = -2(x - 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the
profit from sales be if the price of the T-shirts were $15 aplece?
Answer:
56
-2(15 - 9)2 + 100 = 56