Answer:4,2
Step-by-step explanation: is u divide both side with 2 that will be your answer
Answer:
Your answer is: Midpoint = (0.5, -0.5)
Step-by-step explanation:
(xa+xb/2 , ya+yb/2)
Plug the points ---> (5,2)(-4,-3)
= (1/2 , -1/2)
In decimal form it would be: (0.5,-0.5)
Hope this helped : )
Peggy has four times as many quarters as nickels she had $2.10 in all how many nickels and how many quarters did she have
Answer:
There are 8 quarters and 2 nickels
Step-by-step explanation:
4 quarters for every 1 nickel
This means that for every 1 dollar, there are 5 cents
Double the statement above
1.05 x 2 = 2.10
There are 8 quarters and 2 nickels
Write a proportional equation that correctly represents the relationship between the cost (C) and the number of pizzas (n).
Answer:
njvntjvnktmg
Step-by-step explanation:
nurfurhf
Answer:.........................................
Step-by-step explanation:
Please select the correct answer from the group of answer choices for each part of the question:
1a. Consider the computing load of a sum of 100 scalar variables and one matrix subtraction of a pair of two-dimensional array with dimensions 100x100. Assume the matrix subtraction is fully parallelizable, calculate the speedup using 100 processors assuming 10 processors carry 20% of the load and the rest load is shared among the rest 90 processors evenly?
A: 101/3
B: 101/2
C: 101
D: 100
1b: For the following vector MIPS code DAXPY which performs Y=a x X+Y, fill the two blank instructions.
L.d $f1, a($sp) ;load scalar a
Lv $v0, 0($s0) ;load vector x
__________________ ;vector-scalar multiply
Lv $v2, 0($s1) ;load vector y
___________________ ;add y to product
Sv $v3, 0($s1) ; store the result
A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
B:
mulvs.d $v1, $v0, $f1
addv.d $v3, $v1, $v2
C:
mul.d $v2, $v0, $f1
add.d $v3, $v1, $v2
D:
mulvs.d $v2, $v0, $f1
addv.d $v3, $v1, $v2
1c. Which of the following statement is incorrect?
A: Both multithreading and multicore rely on parallelism to get more efficiency from a chip.
B: In coarse-grained multithreading, switching between threads only happens after significant events such as last-level cache miss.
C: In fine-grained multithreading, switching between threads happens after every instruction.
D: Simultaneous multithreading (SMT) uses threads to improve resource utilization of statically scheduled processor.
1d. In the roofline model, the attainable GFLOPs/sec is set by _____?
A: Peak Memory BW x Arithmetic Intensity
B: Peak Floating-Point Performance
C: Min (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).
1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.
The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.
The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.
In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.
Therefore, the correct answer is C: 101.
1b. A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.
1c. C: In fine-grained multithreading, switching between threads happens after every instruction.
In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.
1d. B: Peak Floating-Point Performance
In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.
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Carey's extreme sports is an ecommerce store specializing in selling extreme sports products.
The products include equipment, apparel, and other items related to extreme sports. Founded in 2015 in Arizona, US, the company has grown from a high-end sports gear equipment company into a national extreme sports brand with operations in 50 States and close to 1000 employees working for the company. The world of Carey's Extreme has traditionally conjured up images of inclusivity, sophistication, and elegance, attracting both wealthy and not-so-wealthy crowds, including college students.
Based on the Pareto analysis, the set of brands which contributes most to the profit , i.e., about 80% is Adidas , Hyperlite ,mongoose , Schwinn and aquaronotman.
Pareto analysis is based on the idea that 80% of a project's benefit can be achieved by doing 20% of the work . In bigger business firms it is taken as a powerful tool for quality maintenance and decision-making .We can say that ,it is a method used for getting the required facts and information needed for setting priorities.
Thus , we can say that it is a technique used in business decision-making, but it also be used in welfare economics . It is based on the "80-20 rule." Pareto analysis, as a decision-making technique, statistically distinguishes a small number of input factors , either good or undesirable that have the largest impact on an output.
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Find m of MLJ
See photo below
Answer:
45°---------------------
The angle formed by a tangent and secant is half the difference of the intercepted arcs:
12x - 3 = (175 - 21x - 1)/224x - 6 = 174 - 21x24x + 21x = 174 + 645x = 180x = 4Find the measure of ∠MLJ by substituting 4 for x in the angle measure:
m∠MLJ = 12*4 - 3 = 48 - 3 = 45
What is the solution of log (3-2 x)=-1 ?
Solution of logarithmic eq. log (3 - 2x) = -1 is , \(x = \frac{29}{20}\)
What is logarithmic equation ?In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as \(log_{a}x\) .
where, a is the base of function or equation
x is expression equation
Mathematically, if \(a^x = N\) is an exponential function then, this can be converted to logarithmic function as \(log_aN = x\).
There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.
Some important formulas of logarithms :
\(log a + log b = log a.b\)\(log a - log b = log \frac{a}{b}\)\(log a^x = x loga\)\(log_aa=1\)\(log_a1=0\)According to given statement,
log (3 - 2 x)= -1
now convert this equation to exponential form
=> 3 - 2x = 10^-1
=> 3 - 2x = 1/ 10
=> x = 29 / 10
Thus solution for this equation is x =29/20.
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A ranger hiked 601 feet to and from the peak of a mountain, each way. The ranger hiked 2 times in the past eight weeks. How far did the ranger hike on the mountain over the past eight weeks?
Answer: 2,404 feet
Step-by-step explanation:
Each way was 601 feet. Going up was 601 feet and coming down was the same.
Total for both is therefore:
= 601 + 601
= 1,202 feet.
They did this twice in 8 weeks:
= 1,202 * 2
= 2,404 feet
please help i know how to calculate mean but my answer isn't adding up to any of the answers on here and it's really confusing me because i don't know how to calculate mean using this kind of example.
Answer:
44.090909... =44.1 (when rounded)
Step-by-step explanation:
added together, it is 485
divide that by amount there is, which is 11
answer is 44.090909...
rounded up is 44.1
hope this helps
take care
-kitten
all else constant, which combination of factors would increase the width of a confidence interval most?
Factors that would definitely increase the width of a confidence interval is: Increase the sample mean and increase the percentage of confidence.
Which combination factors would increase width of confidence interval?
The width of the confidence interval decreases as the sample size increases. The width increases as the standard deviation increases. The width increases as the confidence level increases (0.5 towards 0.99999 - stronger).
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Having trouble solving this:
Answer:
It's the third option.
Step-by-step explanation:
Because if \(\frac{7}{10}\) was converted into a decimal it would be 0.7 plus 666, it would be 666.7
Answer:
it's the 3rd one
This contradiction proves that the onginal statement is
Pages 14 - 16
Fill in the blanks to complete the flowchart.
THE PROCESS OF PROVING
14-
Step 1
se definitions,
and
con non notions to prove a
statement is true
Step 2
That statement is now
a
something
that is always true
Step 3
Use the theorem to
prove
and other
statements
B. In your own words, define each of the following terms.
Answer:
you didn't link a picture
Step-by-step explanation:
dm me the picture and ill do it for you
Use the triangle down below to write the given ratios.
Answer:
P=22.6, T=67.4
Step-by-step explanation:
\(sin(P)=\frac{5}{13}\\ P= 22.6\\\\tan(T)=\frac{12}{5}\\ T=67.4\\\\cos(T)=\frac{5}{13} \\T=67.4\)
PLEASE THIS PICTURES ANSWER PLEASE 10 POINTS ............................
NO WRONG ANSWER REPORT......
Hey buddy I am here to help!
1. 8*5*2 = 40*2= 80cm2
3. 10*25*60 = 250*60 = 15000m2
2. 12*12*12 = 36cm2
4. 3*5*18 = 90*4 = 360m2
Hope my answer helps!
Plz mark me brainliest!
● Question 3. answer is wrong in last multiply so their answer is 1728m^3...
In this image their in question (1,2,3,4) answer...
I hope you understand...
Mark me as brainliest....
Thanks
in a(n) , the scale questions are divided into two parts equally and the resulting scores of both parts are correlated against one another.
The main topic is the split-half reliability test used in psychological research to assess the internal consistency of a scale.
How to test the psychological research?In psychological research, reliability is a crucial aspect of measuring constructs or attributes. One commonly used method for assessing the reliability of a scale is the split-half reliability test.
In this test, the scale questions are divided into two parts equally, and the resulting scores of both parts are correlated against one another.
For example, if a scale had 20 items, the items could be randomly split into two groups of 10 items each.
Scores are then calculated for each group, and the scores are correlated with each other to determine the degree of consistency between the two halves.
The correlation coefficient obtained from this analysis provides an estimate of the internal consistency of the scale.
A high correlation coefficient indicates a high level of internal consistency, indicating that the two halves of the scale are measuring the same construct or attribute.
Conversely, a low correlation coefficient suggests that the two halves of the scale are not measuring the same construct or attribute, and the scale may need to be revised or abandoned.
Overall, the split-half reliability test provides a quick and efficient method for evaluating the reliability of a scale.
However, it is important to note that this method does have some limitations, such as the possibility of unequal difficulty or discrimination of the items in each half of the scale.
Therefore, researchers often use other methods, such as Cronbach's alpha, in conjunction with the split-half reliability test to provide a more comprehensive assessment of the reliability of a scale
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Tuition for one year at state technical institute is about 4200. Josh would like to attend this institute and will save money for each month for 4 years. His parents will give him 1500 for his first years tuition. What’s the minimum amount of money josh must save to have enough money to pay for Josh’s first year of tuition?
Answer: pretty sure it’s $56.25
Step-by-step explanation:
4200-1500= 2700 divided by 48 months (4 years).
where dose this number go on the number line?
2 x pi = about 6.3
I think it goes at 6.3
If you can't do that-- I'd round down to 6
hope that helps
between the 6 and 7 , multiply 2 times 3.14 because pi=3.14
each year the fbi issues a report that provides information about crimes in the united states. the following table gives the total number of violent crimes in the united states for the year 1984 to 19994.plot the data. observe that there is a pattern but that several points don't fit the pattern. which points don't fit?
Plotting the data on a graph can help you identify the outliers or points that don't fit the pattern.
The dataset, you can use it to identify the points that don't fit the pattern.
The points that don't fit the pattern in a dataset.
The points that don't fit the pattern in a dataset, you can use several methods such as:
Visualization:
Plotting the data on a graph can help you identify the outliers or points that don't fit the pattern.
You can use various graph types such as scatter plots, line graphs, box plots, etc., to visualize the data.
Statistical methods:
You can use statistical methods such as standard deviation, z-score, or regression analysis to identify the outliers or points that don't fit the pattern.
Domain knowledge:
If you have domain knowledge about the dataset, you can use it to identify the points that don't fit the pattern.
If you know that a particular event occurred during a specific period, you can use it to explain the anomaly in the data.
The points that don't fit the pattern, you can investigate why they don't fit the pattern.
It could be due to measurement errors, data entry errors, or a genuine anomaly in the data.
Understanding why certain data points don't fit the pattern can provide insights into the data and improve the accuracy of the analysis.
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If $1 in U.S. Dollars is 0.1277 Chinese yuan, convert $16,000 to yuan.
To solve the exercise you can use a rule of three, like this:
\(\begin{gathered} \text{ \$1 USD}\rightarrow0.1277\text{ Chinese yuan} \\ \text{ \$16,000 USD}\rightarrow x\text{ Chinese yuan} \end{gathered}\)\(\begin{gathered} x=\frac{\text{\$16,000 USD }\cdot\text{ }0.1277\text{ Chinese yuan}}{\text{ \$1 USD}} \\ x=\frac{\text{16,000 }\cdot\text{ }0.1277\text{ Chinese yuan}}{\text{ 1}} \\ x=\frac{\text{16,000 }\cdot\text{ }0.1277}{\text{ 1}}\text{ Chinese yuan} \\ x=\frac{\text{2}043.2}{\text{ 1}}\text{ Chinese yuan} \\ x=2043.2\text{ Chinese yuan} \end{gathered}\)Therefore, $16,000 U.S. Dollars are 2043.2 Chinese yuan.
Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 35 books. There are 1,190 mystery books. How many shelves will he need to build?
How many shelves will he need to build?
Single bookcase units with two sides, top and bottom should be no wider than 36 inches without a center support.
How wide should shelves be?For most shelves made from 3/4 inch stock, a practical span is 30 to 36 inches. Shelf depth is determined by the size of the items to be stored, generally within the range of 6 to 24 inches. Shelf depth for a general purpose bookshelf is usually 10 to 12 inches. Landon is building new bookshelves for his book store.Plywood for shelves should be 3/4 inch thick or thicker. Standard sheets of plywood come in 1/4-inch, 3/8-inch, 1/2-inch, 5/8-inch, and 3/4-inch thicknesses. Plywood panels over 3/4 inch in thickness are usually special order products.I cut 1 1/2″ strips of plywood and secured three strips to each shelf, including the top and bottom of the bookshelf. The plywood strips are attached on edge, or on their sides, providing the most rigidity.Plywood is the go-to material used for pantry shelves. It's versatile, available in virtually any species of hardwood, and can easily be cut using any table saw. Plywood is ideal for pantry shelves because its edges can be finished with wood trim or iron-on veneer bandingEach shelf can hold 33 books
There are 1221 mystery books
Therefore the number of shelves he will need to build can be calculated as follows
= 1221/33
= 37
Hence Landon will need to build 37 shelves,
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A toy manufacturer needs a piece of plastic in the shape of a right triangle with one leg 4 cm longer than the other and the hypotenuse 8 cm longer than the shorterleg. What is the perimeter of the triangle?The perimeter is ___(Simplify your answer.)
It is given that the longer leg is 4 cm longer than the shorter leg.
It is also given that the hypotenuse is 8 cm longer than the shorter leg.
ExplanationLet the shorter leg be x.
The longer leg be y.
Then the relation formed is
\(y=x+4\)It is also given that the hypotenuse is 8 cm longer than the shorter leg.
Let the hypotenuse is z.
\(z=8+x\)Then the perimeter of the right triangle is the sum of all the sides.
\(x+y+z\)But to find the value of x , use the Pythagoras theorem.
\(z^2=y^2+x^2\)Substitute the values.
\(\begin{gathered} (8+x)^2=(4+x)^2+x^2 \\ 64+x^2+16x=16+x^2+8x+x^2 \\ 64+16x=16+8x+x^2 \\ 64-16+16x-8x-x^2=0 \\ -x^2+8x+48=0 \end{gathered}\)Solve the quadratic equation to find the value of x.
\(\begin{gathered} (x-12)(x+4)=0 \\ x=12,-4 \end{gathered}\)As x cannot be negative , then the value of x is 12.
The length of shorter leg is 12.
The length of longer leg is 12+4=16.
The hypotenuse is 12+8=20.
Now , the perimeter of right triangle is
\(\begin{gathered} P=12+16+20 \\ P=48cm \end{gathered}\)AnswerThe perimeter of the triangle is 48 cm.
calculate the absolute value of 4 + 7i is equal to the square root of____.
Answer:
\(\sqrt{65}\)
Step-by-step explanation:
the absolute value of the complex number a + bi is
| a + bi | = \(\sqrt{a^2+b^2}\)
then
| 4 + 7i | = \(\sqrt{4^2+7^2}\) = \(\sqrt{16+49}\) = \(\sqrt{65}\)
A(n) _____________ volume is similar to a primary partition, but in fact, is not a primary partition.1. mirrored2. simple3. spanned4. striped
A(n) "spanned" volume is similar to a primary partition, but in fact, is not a primary partition.
A spanned volume is similar to a primary partition, but in fact, is not a primary partition. In a spanned volume, you can combine free space from multiple disks to create a larger logical storage unit, while a primary partition is a segment of a hard disk drive that the operating system recognizes as a separate logical storage unit. A volume can span multiple partitions depending on how it is configured, or it can encompass a single partition. Different operating systems have different ways of configuring and managing volumes.
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what is the theoretical probability of each rolling a 1 or a 6 on a die
Solve the given integral equation or integro-differential equation for y(t). y(t) + 4f(t 0 y(t) = +4 (t-v)y(v) dv=8t²
The required value of the integral equation is:y(t) = L^-1{Y(s)}.
To solve the given integro-differential equation for y(t), we will use the Laplace transform method. Let's proceed with the solution step by step.
Step 1: Take the Laplace transform of both sides of the equation. We will denote the Laplace transform of y(t) as Y(s) and the Laplace transform of f(t) as F(s). The Laplace transform of the integral term can be found using the convolution property.
Taking the Laplace transform, we have:
sY(s) - y(0) + 4Y(s) = 4(sY(s) - y(0)) * F(s) + 8/s^3
Step 2: Simplify the equation and rearrange terms to solve for Y(s):
(s + 4)Y(s) - 4y(0) = 4(sY(s) - y(0)) * F(s) + 8/s^3
Expand the right side:
(s + 4)Y(s) - 4y(0) = 4sY(s)F(s) - 4y(0)F(s) + 8/s^3
Move the terms involving Y(s) to one side:
Y(s)(s + 4 - 4sF(s)) = 4y(0)(F(s) - 1) + 8/s^3
Divide both sides by (s + 4 - 4sF(s)):
Y(s) = [4y(0)(F(s) - 1) + 8/s^3] / (s + 4 - 4sF(s))
Step 3: Invert the Laplace transformation to obtain y(t).
To invert the Laplace transform, we need to find the inverse transforms of the terms on the right side. The inverse Laplace transform of the expression [4y(0)(F(s) - 1) + 8/s^3] can be found using the linearity property and the inverse transform of 1/s^3.
Finally, we can write the solution for y(t) in terms of the inverse Laplace transform of Y(s).
y(t) = L^-1{Y(s)}
By performing the necessary inverse Laplace transforms on Y(s), you can obtain the solution y(t) in the time domain.
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if the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased?
The probability that the amount dispensed per box will have to be increased is 0.
To answer this question, we need to know the target amount that should be distributed per carton.
Assuming that the target amount is also 1 pound, we can use the concept of the normal distribution to estimate the likelihood that we will have to increase the amount distributed per case.
hence the probability of having to increase the amount is 0.
z = (target volume - mean) / standard deviation
z = (1 - 1) / 0.2
z = 0
A Z-score of 0 indicates that the target volume is equal to the mean. A standard normal distribution table or calculator can be used to find the probability that the amount should be increased.
However, the target amount is equal to the mean value,
In summary, without knowing the target amount to be dispensed in each case, it is not possible to determine the potential for volume increases.
If the target amount is to be £1 and the mean and standard deviation is also £1 and 0.2 respectively, then the probability of having to increase the amount is 0.
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Choose the best estimate for the weight of a cantaloupe. Responses A 2 decigrams2 decigrams B 2 kilograms2 kilograms C 2 grams2 grams D 2 milligrams
The best estimate for the weight of a cantaloupe is 2 kilograms (B).
A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.
Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.
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Complete Question:
Choose the best estimate for the weight of a cantaloupe. Responses
A 2 decigrams
B 2 kilograms
C 2 grams
D 2 milligrams
Show all work!! 1. Solve by the substitution method. x + 2y = -7 x + y = -3 2. Solve by the elimination method. 3x + 4y =12 2x + 3y = 6 3. Solve by back substitution. x+y+z=1 2y-z=4
4z=8
4. Solve:
x + 6y + 3z = 4
2x + y + 2z = 3
3x - 2y + z = 0
5. Determine the constants A and B using patrial fraction decomposition.
a. x+3/(x+5)(x-1) = A / x+5 + B / x-1
b. -2x + 5 / (x-1)² = A / x-1 + B / (x-1)²
1.Solve by substitution:x = -1, y = -2
2.Solve by elimination:x = 2, y =0
3. Solve by back substitution:
x = 1, y = 2, z = 4
4. Solve the system of equations:
x = 1, y = -1, z = 2
5. Partial fraction decomposition:
a. A = 3, B = -2
b. A = -2B = 5
Substitution method: From the second equation, we can express x in terms of y as x = -3 - y. Substituting this value into the first equation, we get -3 - y + 2y = -7, which simplifies to y = -2. Substituting y = -2 back into the second equation gives x = -1. Therefore, the solution is x = -1, y = -2.
Elimination method: Multiplying the second equation by 3 and the first equation by 2, we obtain 6x + 8y = 24 and 6x + 9y = 18. Subtracting the second equation from the first equation eliminates x, resulting in -y = 6, or y = -6. Substituting this value back into the second equation gives x = 2. Thus, the solution is x = 2, y = 0.
Back substitution:From the third equation, we have z = 8/4 = 2. Substituting z = 2 into the second equation, we get 2y - 2 = 4, which gives y = 3. Finally, substituting y = 3 and z = 2 into the first equation gives x = 1. Therefore, the solution is x = 1, y = 3, z = 2.
System of equations:
Solving the system using various methods (e.g., substitution or elimination), we find the solution x = 1, y = -1, z = 2.
Partial fraction decomposition:
a. By equating the numerators of both sides and comparing the coefficients, we find A = 3 and B = -2.
b. Similarly, by comparing the numerators, we find A = -2 and B = 5.
These are the solutions obtained by applying the specified methods to each given equation or system of equations.
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For the linear model, do the following. The quantity of tomatoes harvested is f(x) = 6x + 4 hundred pounds when x inches of rain fall. (a) Give the slope of the line defined by the equation. (b) Write the rate of change of the function in a sentence of interpretation. The quantity of tomatoes harvested is ---Select--- increasing or decreasing by pounds per inch of rain. (c) Evaluate f(0). f(0) = Give a sentence of interpretation for f(0). When ____ inches of rain fall ______ hundred pounds of tomatoes are harvested.
(a) The slope is 6.
(b)the rate of change is 6 hundred pounds per inch of rain.
(c)When 0 inches of rain fall, 4 hundred pounds of tomatoes are harvested.
(a) The slope of the line defined by the equation is the coefficient of x, which is 6.
(b) The rate of change of the function represents how the quantity of tomatoes harvested changes with respect to the amount of rain. In this case, the rate of change is 6 hundred pounds per inch of rain.
(c) Evaluating f(0) means substituting x = 0 into the function. Therefore, we have:
f(0) = 6(0) + 4 = 0 + 4 = 4
The interpretation for f(0) is: When 0 inches of rain fall, 4 hundred pounds of tomatoes are harvested.
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What is the difference between a discrete
probability distribution and a continuous
probability distribution?
Give your own example of each. What is the
expected value, and what does it measure?
How is it computed for a discrete probability
distribution?
A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.
An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.
On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.
The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.
For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.
For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.
Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.
If it took 3 hours to clean 5 houses, how many houses could be cleaned in 9 hours?