Answer:
Well I know that a and b must equal the same,
They both equal zero
Step-by-step explanation:
a=0
a=\(\frac{64}{b}\)
Step-by-step explanation:
So, the question is asking for us to find \((ab)^{\frac{3}{2} }\).
Let's find a and b, then plug it into the expression.
\(\frac{a}{3+\sqrt{5} } = \frac{3-\sqrt{5} }{b} \\\\Multiply//3+\sqrt{5} * both//sides\\a = \frac{(3+\sqrt{5} )*(3-\sqrt{5} )}{b} \\\\Solve\\a = \frac{4}{b}\\ Do//the//same//steps//but//for//b\\The//answer//for//b//is:\\b = \frac{4}{a} \\Now//insert//into//expression\\((\frac{4}{b})(\frac{4}{a}))^{\frac{3}{2} } \\\\\frac{64}{b^{\frac{3}{2} }a^{\frac{3}{2} } }\)
If you like vampire diaries plz tell me DAMON OR STEFAN......
Answer:
i like both of them
Step-by-step explanation:
-2/5x=-5 What is this?
Answer:
25/2 or 12 1/2 or 12.5
Step-by-step explanation:
At what points do the graphs of y=2x+1 and y=-(x-1)^2+3 intersect?
A. (-3,5) and (1,3)
B. (-2,-6) and (2,2)
C. (-1,-1) and (1,3)
D. (1,3) and (3,7)
Answer:
D. (1,3) and (3,7)
Step-by-step explanation:
The graphs of y = 2x + 1 and y = -(x-1)^2 + 3 intersect at the points where they have the same y-coordinate. To find these points, we can set the two equations equal to each other and solve for x.
y = 2x + 1 = -(x-1)^2 + 3
2x + 1 = -x^2 + 2x + 2
x^2 - 4x + 1 = 0
(x-1)^2 = 0
x = 1
Now we can substitute this value of x into either of the given equations to find the corresponding y-coordinate.
y = 2x + 1 = 2(1) + 1 = 3
so the point of intersection is (1,3)
So the answer is D. (1,3) and (3,7)
Please note that the solution is valid only if the two equations y=2x+1 and y=-(x-1)^2+3 are defined for the same domain.
4.33
The number of internal disk drives (in millions) made at a plant in Taiwan during the past 5 years follows:
YEAR
DISK DRIVES
1
140
2
160
3
190
4
200
5
210
a)Forecast the number of disk drives to be made next year, using linear regression.
b)Compute the mean squared error (MSE) when using linear regression.
c)Compute the mean absolute percent error (MAPE).
Could some please help? I would like to make sure my caculations are correct.
Thank you
(a) Forecast: Linear regression the next year is approx 191.6007.
(b) MSE: Mean Squared Error is approximately 249.1585.
(c) MAPE: Mean Absolute Percent Error is approximately 10.42%.
(a) (a) Forecast using linear regression:
To forecast the number of disk drives for the next year, we can use linear regression to fit a line to the given data points. The linear regression equation is of the form y = mx + b, where y represents the number of disk drives and x represents the year.
Calculating the slope (m):
m = (Σ(xy) - n(Σx)(Σy)) / (Σ(x^2) - n(Σx)^2)
Σ(xy) = (1)(140) + (2)(160) + (3)(190) + (4)(200) + (5)(210) = 2820
Σ(x) = 1 + 2 + 3 + 4 + 5 = 15
Σ(y) = 140 + 160 + 190 + 200 + 210 = 900
Σ(x^2) = (1^2) + (2^2) + (3^2) + (4^2) + (5^2) = 55
m = (2820 - 5(15)(900)) / (55 - 5(15)^2)
m = (2820 - 6750) / (55 - 1125)
m = -3930 / -1070
m ≈ 3.6729
Calculating the y-intercept (b):
b = (Σy - m(Σx)) / n
b = (900 - 3.6729(15)) / 5
b = (900 - 55.0935) / 5
b ≈ 168.1813
Using the equation y = 3.6729x + 168.1813, where x represents the year, we can predict the number of disk drives for the next year. To do so, we substitute the value of x as the next year in the equation. Let's assume the next year is represented by x = 6:
y = 3.6729(6) + 168.1813
y ≈ 191.6007
Therefore, according to the linear regression model, the predicted number of disk drives for the next year is approximately 191.6007.
(b) Calculation of Mean Squared Error (MSE):
To calculate the Mean Squared Error (MSE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.
First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.
Predicted values:
Year 1: y = 3.6729(1) + 168.1813 = 171.8542
Year 2: y = 3.6729(2) + 168.1813 = 175.5271
Year 3: y = 3.6729(3) + 168.1813 = 179.2000
Year 4: y = 3.6729(4) + 168.1813 = 182.8729
Year 5: y = 3.6729(5) + 168.1813 = 186.5458
Next, we calculate the squared difference between the predicted and actual values, and then take the average:
MSE = (Σ(y - ŷ)^2) / n
MSE = ((140 - 171.8542)^2 + (160 - 175.5271)^2 + (190 - 179.2000)^2 + (200 - 182.8729)^2 + (210 - 186.5458)^2) / 5
MSE ≈ 249.1585
The Mean Squared Error (MSE) for the linear regression model is approximately 249.1585.
This value represents the average squared difference between the predicted values and the actual values, providing a measure of the accuracy of the model.
(c) Calculation of Mean Absolute Percent Error (MAPE):
To calculate the Mean Absolute Percent Error (MAPE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.
First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.
Predicted values:
Year 1: y = 3.6729(1) + 168.1813 ≈ 171.8542
Year 2: y = 3.6729(2) + 168.1813 ≈ 175.5271
Year 3: y = 3.6729(3) + 168.1813 ≈ 179.2000
Year 4: y = 3.6729(4) + 168.1813 ≈ 182.8729
Year 5: y = 3.6729(5) + 168.1813 ≈ 186.5458
Next, we calculate the absolute percent error for each year, which is the absolute difference between the predicted and actual values divided by the actual value, multiplied by 100:
Absolute Percent Error (APE):
Year 1: |(140 - 171.8542) / 140| * 100 ≈ 18.467
Year 2: |(160 - 175.5271) / 160| * 100 ≈ 9.704
Year 3: |(190 - 179.2000) / 190| * 100 ≈ 5.684
Year 4: |(200 - 182.8729) / 200| * 100 ≈ 8.563
Year 5: |(210 - 186.5458) / 210| * 100 ≈ 11.682
Finally, we calculate the average of the absolute percent errors:
MAPE = (APE₁ + APE₂ + APE₃ + APE₄ + APE₅) / n
MAPE ≈ (18.467 + 9.704 + 5.684 + 8.563 + 11.682) / 5 ≈ 10.42
The Mean Absolute Percent Error (MAPE) for the linear regression model is approximately 10.42%.
This value represents the average percentage difference between the predicted values and the actual values, providing a measure of the relative accuracy of the model.
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Does anyone know the answer to these? (forgot to put a screenshot on the last one)
Answer:
number 1
1 1000 grams
2 2000 grams
5 5000 grams
8 8000 grams
10 10000 grams
Step-by-step explanation:
now 2
1 grams 1000
3 grams 3000
4 grams 4000
6 grams 6000
9 grams 9000
that is all i know please mark me the brainiest
if m is perpendicular to n, solve for x
x + 21 + 3x + 9 = 90
Combine like terms
4x + 30 = 90
Subtract 30 from both sides
4x = 60
Divide both sides by 4
x = 15
Answer:
x = 15
Step-by-step explanation:
You can use the opposite angles property to solve this problem. By using the property, the opposite angle of x+21 must also be x+21. So therefore, you can setup the equation x+21+3x+9=90. Simplify and you should get 4x+30=90. Subtract 30 on both sides and you get 4x=60. Divide 4 on both sides and you get x=15.
A benchmark is known to be at an elevation of 100 feet and the finish grade is to be set at 97 feet. Your site reading at the benchmark using a builders level and a leveling rod reads 4.5 feet. What should your reading be at finished grade?
The reading at finished grade would be 1.5 feet.
To determine the reading at finished grade, you need to subtract the difference in elevation between the benchmark and finished grade from the initial site reading at the benchmark. In this case, the benchmark is at an elevation of 100 feet and the finish grade is set at 97 feet, which means there is a difference of 3 feet in elevation.
Given that the site reading at the benchmark is 4.5 feet, you need to subtract the 3 feet difference in elevation.
Therefore, your reading at finished grade would be 4.5 feet - 3 feet = 1.5 feet.
In conclusion, the reading at finished grade would be 1.5 feet.
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A rental car company charges $45.40 per day to rent a car and $0.11 for every mile
driven. Levi wants to rent a car, knowing that:
• He plans to drive 150 miles.
• He has at most $130 to spend.
Write and solve an inequality which can be used to determine d, the number of days
Levi can afford to rent while staying within his budget.
Which number is larger? (1 mark)
0.67 or
2/3
Answer:
0.67
Step-by-step explanation:
2/3= to 0.66 which means 0.67 would be technally larger than 0.66
in multiple comparison procedures to determine which treatments are significantly different from each other at a given level of alpha
The Bonferroni method is a multiple comparison procedure used to control the family-wise error rate when comparing multiple treatments at a given level of alpha.
The Bonferroni method adjusts the alpha level for each individual comparison to maintain an overall family-wise error rate of alpha.To use the Bonferroni method, the researcher first chooses the desired level of family-wise error rate (e.g., 0.05).
Next, the researcher divides this alpha level by the total number of comparisons to obtain the adjusted alpha level for each individual comparison (e.g., 0.05/3 = 0.0167 for three comparisons).
The researcher then conducts the individual comparisons at the adjusted alpha level, using appropriate statistical tests (e.g., t-tests, ANOVA).If the p-value for a given comparison is less than the adjusted alpha level, the researcher can conclude that the difference between those treatments is statistically significant.
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b.The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank). c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time____ (mins) (enter the numbers only)
(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.
To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.
If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).
If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.
Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).
(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.
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Complete question:
The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.
(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).
c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)
maria cans 6 quarts of tomato sauce she divides the tomato sauce equally into 8 jars how much of a quart of tomato sauce is in each jar model the situation with a division equation and find the quotient
A quotient is any number before a specified variable in a given equation.
i. The division equation required is \(\frac{3}{4}\)x
ii. The quotient is \(\frac{3}{4}\) (0.75)
Fraction is a mathematical expression which consists of a numerator and denominator. Some types are proper fraction, improper fraction and mixed fraction.
In any given algebraic equation, the number that exists before a stated alphabet is termed quotient.
For example, given: 4x + 1
Thus the quotient of x is 4.
Considering the given question, let the tomato sauce be represented by x.
So that 6 quarts of tomato sauce was divided into 8 jars equally. This implies that;
6x ÷ 8 = \(\frac{6}{8}\)x
= \(\frac{3}{4}\)x
Thus,
i. the division equation that can be used to model the situation = \(\frac{3}{4}\)x
ii. the quotient = \(\frac{3}{4}\)
= 0.75
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Most exposures and outcomes used in correlational studies are in the form of:
A. Individual data
B. Aggregate data
C. Average data
D. Relative data
Most correlational studies use d)relative data, which compares two variables.
This means that one variable is being measured against another, often in the form of ratios or percentages. For example, one might compare the number of people who smoke cigarettes with the number of people who develop lung cancer, in order to determine whether there is a correlation between the two.
Relative data allows researchers to examine the relationship between variables, allowing them to assess the strength of the relationship between them.
In order to compare variables, correlational studies rely on either primary or secondary data. Primary data is collected through direct observation and experimentation, while secondary data is obtained from existing sources.
In most cases, correlational studies use secondary data, such as survey results or statistics from public databases. This data is often in the form of relative data, such as percentages or ratios.
By using relative data, correlational studies can determine the strength of the relationship between two variables. This information can be used to better understand how the variables are related, as well as to draw conclusions about their relationship. For example, the relationship between smoking and lung cancer can be examined using relative data, allowing researchers to identify patterns and draw conclusions about the correlation between the two variables.
Hence Option D is correct.
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pls pls pls helpjust need the answer
Answer:
k = - 8
Step-by-step explanation:
given that (x - a) is a factor of f(x) , then f(a) = 0
given
(x - 1) is a factor of f(x) then f(1) = 0 , that is
3(1)³ + 5(1) + k = 0
3(1) + 5 + k = 0
3 + 5 + k = 0
8 + k = 0 ( subtract 8 from both sides )
k = - 8
Will give brainliest once again Does this graph show a function? Explain how you know
Answer:
D
Step-by-step explanation:
In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.
Answer:
D
Step-by-step explanation:
parabolas are functions
the graphed is a parabola
it passes the vertical line test.
Plzzzz help me with this ASAP (100 points)
Answer:
7.5
Step-by-step explanation:
the answer to your question is 7.5
Fill in the blank with a whole number only - no decimals, no symbols. The demand for a product is given by: Qd = 20 - P. Total revenue will be maximized when quantity is equal to [a]
The total revenue that will be maximized is 20 - 2a
Finding the total revenue that will be maximizedFrom the question, we have the following parameters that can be used in our computation:
Qd = 20 - P
The revenue equation is calculated using
Revenue = Quantity * Price
So, we have
R = Qd * P
This gives
R = (20 - P) * P
Expand
R = 20P - P²
Differentiate
R' = 20 - 2P
Next, we have
Q = a
So, we have
R = 20 - 2a
Hence, the total revenue that will be maximized is 20 - 2a
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Sides of a triangle are (x^2-1), (x^2+1) and 10cm. If the area of the triangle is 120cm^2, find x
If the area of the triangle is 120 cm^2, the value of x is equal to 6.
How to calculate the area of a triangle?Mathematically, the area of a triangle can be calculated by using this mathematical expression:
Area of a triangle (A) = 1/2 × b × h
Where:
b represents the base area of a triangle.h represents the height of a triangle.According to Hero's Formula area of triangle by Heron of Alexandria, if a, b, c are the side lengths of a triangle, then, the area of a triangle can be calculated by using this mathematical expression:
Area of a triangle (A) = √[s(s − a)(s − b)(s − c)]
Where:
s = (a + b + c)/2
s = (x + x + 1 + 2x - 1)/2
s = 4x/2
s = 2x
Substituting the parameters into Hero's Formula formula, we have the following;
x√10 = √[2x(2x − x)(2x − x - 1)(2x − 2x + 1)]
x√10 = x√2(x − 1)
√10 = √2(x − 1)
Taking the square of both sides, we have:
10 = 2(x - 1)
10 = 2x - 2
2x = 12
x = 12/2
x = 6.
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What is the y-intercept of (0,1) and (11,22)?
Answer:
the slope is 21/11 and the y-intercept is (0,1)
Samantha works on the weekends doing hair for her classmates.For every head she does ,she charges 26$ complete the table
Answer:
Charge 26, 78, 130, 182, 234
Step-by-step explanation:
If Heads is (1,3,5,7,9) CHARGE and charge is (26,0,0,0,0) if 1 head=26 then you can just multiply or use repetitive addition if you were to multiply do 3x26=78, 5x26=130, 7x26=182, and 9x26=324. If you were to use repetitive addition do 26+26+26=78, 26+26+26+26+26=130, 26+26+26+26+26+26+26=182, and 26+26+26+26+26+26+26+26+26=234.
I hope it helps!
~XxBells is a cute girlxX~
Answer Fast Please And Thank You
Answer:
a d
Step-by-step explanation:
maybe
Drag each line to the correct location on the image. Not all lines will be used.
Match the lines of best fit to the scatter plots.
Answer:
I am not sure if this is correct but:
Step-by-step explanation:
10 less than a number is equal to 12
Answer:
The number is 22
Step-by-step explanation:
Let x be the number
Plug x in: x - 10 = 12Add 10 to each side, so it now looks like this: x = 22Answer:
22
Step-by-step explanation:
Let the number be x:
x - 10 = 12
x = 12 + 10
x = 22
The answer is 22
The data set SMOKE.dta contains information on smoking behavior and other variables for a random sample of single adults from the United States. The variable cigs is the (average) number of cigarettes smoked per day. Do you think cigs has a normal distribution in the U.S. adult population? Explain.
Answer and explanation:
First more than half of the population of the United States do not smoke so the data for smokers in the United States cannot be normally distributed.
Cigs variable does not have a normal distribution in the United States because it is skewed while a Gaussian/normally distributed data is symmetric about it's mean meaning that more values close to the mean occur more frequently. A normally distributed data has more data in the center and is bell shaped while a non normal distribution like the smokers data for US has data skewed to the left or right
aerobic dancing study: a researcher wants to know which exercise program is more effective in reducing body mass index (bmi) in 60 to 70 year-old individuals with diabetes: 1) a 20 minute aerobic dancing program or 2) a 20 minute walking program. the participants in the research project will be 60 volunteers living in a large gated retirement community. participants will be randomly assigned to either the aerobic dancing group or the walking group. participants will exercise for 20 minutes a day three days a week for six months. participants will have height and weight measurements taken (in order to calculate bmi) before and after this six-month program. changes in bmi between the two groups will be compared. in the aerobic dancing study, which is the dependent variable?
As per the BMI, the dependent variable is outcome
In this study, the researcher wants to compare the effectiveness of two different exercise programs in reducing BMI in individuals with diabetes. The participants will be randomly assigned to either the aerobic dancing group or the walking group, and their BMI will be measured before and after the six-month exercise program.
The changes in BMI between the two groups will be compared to determine which exercise program is more effective in reducing BMI in this population. The dependent variable in this study is the change in BMI, as it is the outcome that is being measured and compared between the two groups.
Overall, this study will provide valuable insights into the effectiveness of different exercise programs in reducing BMI in older adults with diabetes, which can have important implications for their overall health and wellbeing.
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Can you please help me in this question.
Answer:
k = - 6 , c = 8
Step-by-step explanation:
f(x) = x² + kx + c
given f(2) = 0 , substitute (2, 0 ) into f(x)
0 = 2² + 2k + c
0 = 4 + 2k + c ( subtract 4 from both sides )
- 4 = 2k + c → (1)
given f(- 3) = 35 , substitute (- 3, 35 ) into f(x)
35 = (- 3)² - 3k + c
35 = 9 - 3k + c ( subtract 9 from both sides )
26 = - 3k + c → (2)
subtract (2) from (1) term by term to eliminate c
- 4 - 26 = 2k - (- 3k) + (c - c)
- 30 = 2k + 3k
- 30 = 5k ( divide both sides by 5 )
- 6 = k
substitute k = - 6 into (1) and solve for c
- 4 = 2(- 6) + c
- 4 = - 12 + c ( add 12 to both sides )
8 = c
then
k = - 6 and c = 8
If the equation of a line is: Y= 200 -3X This line is
downward sloping
upward sloping
vertical
horizontal
Step-by-step explanation:
y = 200 - 3 *x has slope = -3 this is downward sloping from L to R
Answer:downward sloping
Step-by-step explanation:
negative slope
what’s the slope and y - intercept of this equation ?
Answer:
the slope is m=6 and the y -intecept is b=3 or (0,3)
the z value for a 97.8% confidence interval estimation is
The z value for a 97.8% confidence interval estimation is determined as 2.29.
What is the z value for a 97.8% confidence?The z value for a 97.8% confidence interval estimation is calculated as follows;
The find the Z score, go to a Z lookup table which is found in a textbook or on an internet source. z table is created to give the possibility in a one-tailed analysis.
A confidence interval is a two-tailed examination, in order to prepare the z score for 97.8%, look up the probability of 98.9%.
The value of 98.9% is
= (0.978 + 1 )/ 2
= 0.989 or 98.9%.
This implies that the z score of the date is 2.29.
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can yall please help me with this i dont know how to do it and can you please show you work!
There are 45 ways to combine one level from each of the growth factors.
To find the total number of ways to combine one level from each of the growth factors, we need to multiply the number of levels for each growth factor.
For lighting, there are three levels: low, medium, and high.
For age, there are five levels: 1 month, 2 months, 3 months, 4 months, and 5 months.
For temperature, there are three levels: 20 °C, 22 °C, and 24 °C.
To find the total number of ways to combine one level from each growth factor, we multiply the number of levels for each growth factor:
3 (for lighting) x 5 (for age) x 3 (for temperature) = 45
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