Suppose that W1 is a random variable with mean mu and variance sigma 21 and W2 is a random variable with mean mu and variance sigma 22. From Example 5.4.3. we know that cW1 + (1 - c)W2 is an unbiased estimator of mu for any constant c > 0. If W1 and W2 are independent, for what value of c is the estimator cW1 + (1 - c)W2 most efficient?
Answers
The value of c that makes the estimator cW1 + (1 - c)W2 most efficient is c \(= \sigma_{22} / (\sigma_{21}+ \sigma_{22}).\)
To find the value of c that makes the estimator cW1 + (1 - c)W2 most efficient, we need to consider the concept of efficiency in estimation.
Efficiency is a measure of how well an estimator utilizes the available information to estimate the parameter of interest.
In the case of unbiased estimators, efficiency is related to the variance of the estimator.
A more efficient estimator has a smaller variance, which means it provides more precise estimates.
The efficiency of the estimator cW1 + (1 - c)W2 can be determined by calculating its variance.
Since W1 and W2 are independent, the variance of their linear combination can be calculated as follows:
\(Var(cW1 + (1 - c)W2) = c^2 \times Var(W1) + (1 - c)^2 \timesVar(W2)\)
Given that Var(W1) \(= \sigma_{1^2}\) and Var(W2) \(= \sigma_{2^2,\)
where \(\sigma_{1^2} = \sigma_{21]\) and\(\sigma_{2^2} = \sigma_{22},\) we can substitute these values into the variance equation:
\(Var(cW1 + (1 - c)W2) = c^2 \times \sigma_21 + (1 - c)^2 \times \sigma_{22\)
To find the value of c that minimizes the variance (i.e., maximizes efficiency), we can take the derivative of the variance equation with respect to c and set it equal to zero:
\(d/dc [c^2 \times \sigma_21 + (1 - c)^2 \times \sigma_22] = 2c \times \sigma_{21}- 2(1 - c) \times \sigma_{22} = 0\)
Simplifying the equation:
\(2c \times \sigma_{21} - 2\sigma_22 + 2c \times \sigma_{22} = 0\)
\(2c \times (\sigma_{21} + \sigma_{22}) = 2\sigma_{22}\)
\(c \times (\sigma_{21} + \sigma_{22}) = \sigma_{22}\)
\(c = \sigma_{22} / (\sigma_{21} + \sigma_{22})\)
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Related Questions
An 80 ev electron impinges upon a potential barrier 100 ev high and 0.2 nm thick. what is the probability the electron will tunnel through the barrier?
Answers
The probability of an electron tunneling through a potential barrier is highly dependent on the height and width of the barrier, as well as the incident energy of the electron. In this case, the probability of the electron tunneling through the barrier would be very small, as the electron energy is lower than the height of the barrier.
1. Calculate the kinetic energy of the electron:
KE = 80 eV
2. Calculate the barrier width:
Width = 0.2 nm = 0.2 x 10-9 m
3. Calculate the barrier height:
Height = 100 eV
4. Calculate the tunneling probability:
Tunneling probability =
where hbar = Planck's constant divided by 2π
= 1.0546 x 10-34 Js
= 6.582 x 10-16 eVs
So, the tunneling probability =
exp(-2*(80/100)*(0.2*10-9/6.582*10-16))
= 1.2748 x 10-14
Therefore, the probability that the electron will tunnel through the barrier is approximately
1.2748 x 10-14.
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weights, in pounds, of eight students in a class are: student weight (in pounds) student 1 128 student 2 193 student 3 166 student 4 147 student 5 202 student 6 183 student 7 181 student 8 158 using the data above, what is the standard error of the sample mean? answer choices are rounded to the hundredths place.
Answers
The standard error of the sample mean is approximately 8.9 pounds.
What is standard error of the sample mean?
Simple division of the standard deviation by the square root of the sample size yields the SEM. By evaluating the sample-to-sample variability of the sample means, standard error determines the accuracy of a sample mean.
To find the standard error of the sample mean, we need to first find the sample mean weight of the students. To do this, we add up the weights of all the students and divide by the number of students:
(128 + 193 + 166 + 147 + 202 + 183 + 181 + 158) / 8 = 171.5
Next, we need to find the variance of the sample. The variance is a measure of the spread of the data around the mean, and is calculated as follows:
\(variance = ((weight - mean)^2) / (n-1)\)
where weight is the weight of each student, mean is the sample mean weight, and n is the number of students.
Plugging in the values from our data, we get:
variance = (128 - 171.5)^2 + (193 - 171.5)^2 + (166 - 171.5)^2 + (147 - 171.5)^2 + (202 - 171.5)^2 + (183 - 171.5)^2 + (181 - 171.5)^2 + (158 - 171.5)^2 / 7
= 1096.5
Finally, we can find the standard error of the sample mean by taking the square root of the variance and dividing by the square root of the number of students:
\(standard\ error = \sqrt{(variance / n)} \\\\= \sqrt{1096.5 / 8 )\\\\=8.9\)
So, The standard error of the sample mean is approximately 8.9 pounds.
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The aquarium has 1 fewer red fish than blue fish. 60 percent of the fish are blue. How many blue fish are in the aquarium? Show your work.
Answers
Answer:
3 blue fish
Step-by-step explanation:
3/5 = 60%, 3-1=2, 3 blue fish, 2 red fish
The number of blue fish in the aquarium is given as 5.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
Given that,
The percent of blue fish in the aquarium is 60%.
Suppose the number of blue fish is x.
Then the number of red fish is x - 1.
As per the question the following equation can be formed for the given case,
60% of (2x -1) = x
=> 60/100(2x - 1) = x
=> 120x - 100 = 100x
=> 120x - 100x = 100
=> 20x = 100
=> x = 5
Hence, the number of blue fish in the aquarium is 5.
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The height of a cone-shaped statue is 9 ft, and the diameter is 12 ft.
What is the approximate volume of the statue?
Use 3.14 to approximate pi, and express your final answer as a decimal.
Enter your answer as a decimal in the box.
Answers
Answer:
Step-by-step explanation:
v=\(v= \frac{1}{3} \pi r^{2}h \\v= \frac{1}{3} (3.14)(6)^{2}(9)\\ v=\frac{1}{3}(3.14)(36)(9)\\ v= 339.12\\answer is v= 339.12\)
Hope this helps :D
The graph of the function f(x) = –(x + 3)(x – 1) is shown below.
On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0).
Which statement about the function is true?
The function is positive for all real values of x where
x < –1.
The function is negative for all real values of x where
x < –3 and where x > 1.
The function is positive for all real values of x where
x > 0.
The function is negative for all real values of x where
x < –3 or x > –1.
Answers
Answer:
The second statement is true.
Step-by-step explanation:
Draw the corresponding parabola and use it to verify all statements.
Answer:
The function is negative for all real values of x where
x < –3 and where x > 1.
Step-by-step explanation:
The answer above is correct.
waterloo park posted the following schedule listing the number of hours an employee works on a given day. let b(x), t(x), r(x), and s(x) represent the number of hours worked by bill, ted, rufus, and socrates, respectively, on a given day x.
Answers
The schedule for the number of hours worked by employees at Waterloo Park is represented by the functions b(x), t(x), r(x), and s(x) for Bill, Ted, Rufus, and Socrates, respectively, on a given day x.
In the schedule, the function b(x) represents the number of hours worked by Bill on a given day x. Similarly, the function t(x) represents the number of hours worked by Ted, the function r(x) represents the number of hours worked by Rufus, and the function s(x) represents the number of hours worked by Socrates on the same given day x.
By using these functions, you can determine the specific number of hours each employee worked on any given day. For example, if you have a value for x, you can substitute it into the functions to find the corresponding number of hours worked by each employee.
It's important to note that the functions b(x), t(x), r(x), and s(x) are specific to Waterloo Park and the employees mentioned. The given schedule provides a way to track the hours worked by each employee on different days. By utilizing these functions, you can analyze and calculate the hours worked by each employee effectively.
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For the following system of equations, the value of x is______
The system of equation is x + 3y = 6
6x - 6y = 4
PLEASE HELP!!
Answers
Answer: x = 2, y = 4/2
Step-by-step explanation:
Solve the System of Equations
x + 3y = 6 6x − 6y = 4
Subtract 3y from both sides of the equation.
x = 6 − 3y 6x − 6y = 4
Replace all occurrences of x with 6 − 3y in each e quation.
Replace all occurrences of x in 6x − 6y = 4 with 6 − 3y.
6 (6 − 3y) − 6y = 4
x = 6 − 3y
Simplify 6 (6 − 3y) − 6y.
36 − 24y = 4
x = 6 − 3y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
−24y = −32
x = 6 − 3y
Divide each term by −24 and simplify.
y = 4/3
x = 6 − 3y
Replace all occurrences of y with 4/3 in each equation.
Replace all occurrences of y in x = 6 − 3y with 4/3
x = 6 − 3 ( 3 )
y= 4/3
Simplify 6 − 3 ( 4 )
x = 2
y = 4/3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(2, 4 /3 )
The result can be shown in multiple forms.
Point Form: 2, 4 /3
Equation Form: x = 2, y = 3
Determine the base-five representation a) 214 b) 62 c) 8 d) 95 a) 214=
Answers
a) 214 in base-five is 1324.
b) 62 in base-five is 222.
c) 8 in base-five is 13.
d) 95 in base-five is 340.
How is this so?
a) To determine the base five representation of 214, we need to find the largest power of five that is less than or equal to 214.
In this case, 125 (5³) is the largest power of five that is less than 214.
Now, we divide 214 by 125 -
214 ÷ 125 = 1 remainder 89
Next, we divide the remainder, 89, by the next lower power of five, which is 25 (5²) -
89 ÷ 25 = 3 remainder 14
Finally, we divide the remaining 14 by the lowest power of five, which is 5 itself -
14 ÷ 5 = 2 remainder 4
Therefore, the base-five representation of 214 is 1324 in base-five.
b) Following the same steps as above -
62 ÷ 25 = 2 remainder 12
12 ÷ 5 = 2 remainder 2
Hence, the base-five representation of 62 is 222 in base-five.
c) 8 ÷ 5 = 1 remainder 3
this menas that the base-five representation of 8 is 13 in base-five.
d) Following the same steps as above -
95 ÷ 125 = 0 remainder 95
95 ÷ 25 = 3 remainder 20
20 ÷ 5 = 4 remainder 0
Hence, the base-five representation of 95 is 340 in base-five.
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a hexadecimal number is a number written in the base 16 number system.
t
f
Answers
True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.
In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.
The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.
For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.
Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.
Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.
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find the z-value needed to calculate one-sided confidence bounds for the given confidence level. (round your answer to two decimal places.) a 81% confidence bound
Answers
To find the z-value needed to calculate one-sided confidence bounds for an 81% confidence level, we first need to determine the area under the normal distribution curve to the left of the confidence level. Since we are looking for one-sided confidence bound, we only need to consider the area to the left of the mean.
Using a standard normal distribution table or calculator, we can find that the area to the left of the mean for an 81% confidence level is 0.905.
Next, we need to find the corresponding z-value for this area. We can use the inverse normal distribution function to do this.
z = invNorm(0.905)
Using a calculator or a table, we can find that the z-value for an area of 0.905 is approximately 1.37.
Therefore, the z-value needed to calculate one-sided confidence bounds for an 81% confidence level is 1.37 (rounded to two decimal places).
The z-value needed to calculate a one-sided confidence bound with an 81% confidence level.
1. First, since it's one-sided confidence bound, we need to find the area under the standard normal curve that corresponds to 81% confidence. This means the area to the left of the z-value will be 0.81.
2. Now, to find the z-value, we can use a z-table or an online calculator that provides the z-value corresponding to the cumulative probability. In this case, the cumulative probability is 0.81.
3. Using a z-table or an online calculator, we find that the z-value corresponding to a cumulative probability of 0.81 is approximately 0.88.
So, the z-value needed to calculate a one-sided 81% confidence bound is 0.88, rounded to two decimal places.
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Please help me with this brainliest
Answers
Answer:
See attached
Step-by-step explanation:
Solution is in the picture
HELP HELP HELP PLEAASE
Answers
Answer:
Step-by-step explanation
Kf i help u wojld u help me
Answer: your answer will be 72 divided by 8
Step-by-step explanation: because they wanna know how many pages she put stickers on in if you divide it will tell you how many pages she put stickers on witch is 9
Given that limx→3f(x)=4limx→3g(x)=−2limx→3h(x)=0, find each limit, if it exists. (If an answer does not exist, enter DNE.) (a) limx→3[f(x)+2g(x)] (b) limx→3[g(x)]3 (c) limx→3f(x) (d) limx→3g(x)5f(x) (e) limx→3h(x)g(x) (f) limx→3f(x)g(x)h(x)
Answers
(a) The limit of limx→3[f(x)+2g(x)]limx→3[f(x)+2g(x)] is 0.
(b) The limit of limx→3[g(x)]3limx→3[g(x)]3 is -8.
(c) The limit of limx→3f(x)limx→3f(x) is 4.
(d) The limit of limx→3g(x)5f(x)limx→35f(x)g(x) is -128.
(e) The limit of limx→3h(x)g(x)limx→3g(x)h(x) is 0.
(f) The limit of limx→3f(x)g(x)h(x)limx→3f(x)g(x)h(x) is 0.
(a) To find the limit of limx→3[f(x)+2g(x)]limx→3[f(x)+2g(x)], we can use the limit laws. Since limx→3f(x)=4limx→3f(x)=4 and limx→3g(x)=−2limx→3g(x)=−2, we have:
limx→3[f(x)+2g(x)]=limx→3f(x)+limx→32g(x)=4+2(−2)=4−4=0limx→3[f(x)+2g(x)]=limx→3f(x)+limx→32g(x)=4+2(−2)=4−4=0
Therefore, the limit of limx→3[f(x)+2g(x)]limx→3[f(x)+2g(x)] is 0.
(b) To find the limit of limx→3[g(x)]3limx→3[g(x)]3, we can again use the limit laws. Since limx→3g(x)=−2limx→3g(x)=−2, we have:
limx→3[g(x)]3=[limx→3g(x)]3=(−2)3=−8limx→3[g(x)]3=[limx→3g(x)]3=(−2)3=−8
Therefore, the limit of limx→3[g(x)]3limx→3[g(x)]3 is -8.
(c) Since we are given limx→3f(x)=4limx→3f(x)=4, the limit of limx→3f(x)limx→3f(x) is 4.
(d) Since we are given limx→3f(x)=4limx→3f(x)=4 and limx→3g(x)=−2limx→3g(x)=−2, the limit of limx→3g(x)5f(x)limx→3g(x)5f(x) is:
limx→3g(x)5f(x)=[limx→3g(x)]5⋅limx→3f(x)=(−2)5⋅4=−32⋅4=−128limx→3g(x)5f(x)=[limx→3g(x)]5⋅limx→3f(x)=(−2)5⋅4=−32⋅4=−128
Therefore, the limit of limx→3g(x)5f(x)limx→3g(x)5f(x) is -128.
(e) Since limx→3h(x)=0limx→3h(x)=0 and limx→3g(x)=−2limx→3g(x)=−2, the limit of limx→3h(x)g(x)limx→3g(x)h(x) is:
limx→3h(x)g(x)=limx→3h(x)limx→3g(x)=0−2=0limx→3g(x)h(x)=limx→3g(x)limx→3h(x)=−20=0
Therefore, the limit of limx→3h(x)g(x)limx→3g(x)h(x) is 0.
(f) Since limx→3f(x)=4limx→3f(x)=4, limx→3g(x)=−2limx→3g(x)=−2, and limx→3h(x)=0limx→3h(x)=0, the limit of limx→3f(x)g(x)h(x)limx→3f(x)g(x)h(x) is:
limx→3f(x)g(x)h(x)=limx→3f(x)⋅limx→3g(x)⋅limx→3h(x)=4⋅(−2)⋅0=0limx→3f(x)g(x)h(x)=limx→3f(x)⋅limx→3g(x)⋅limx→3h(x)=4⋅(−2)⋅0=0
Therefore, the limit of limx→3f(x)g(x)h(x)limx→3f(x)g(x)h(x) is 0.
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For number five what is the Mean, Median, Mode, and Range
Answers
Answer:
Median- 31
Mean- 39
Mode- 20
Range-71
Step-by-step explanation:
Median-13, 20, 20, 20, 31, 35, 61, 67, 84
31 one is in the middle, also you have to sort it for least to greatest.
Mean- Add all the number then divide by the numbers there are.
Mode-It has occored the most
Range- sort least to greatest, then subtract the highest number to the lowest
The 20th term of the number sequence is 50
Write down the 21st term of the number sequence.
Answers
I hope this help too.
Answer:-
The linear sequence 27, 25, 23, 21, 19... is an arithmetic progression with (-2) as the common difference.
The nth term of an arithmetic progression is an=a1+(n−1)da_n=a_1+(n-1)dan=a1+(n−1)d, where ana_nan is the nth term, a1a_1a1 is the first term, d is the common difference.
In our case, n=50,a1=27,d=−2n=50, a_1=27, d=-2n=50,a1=27,d=−2 , hence, we get
a50=27+49⋅(−2);a50=27−98=−71.a_{50}=27+49\cdot(-2);\\ a_{50}= 27-98=-71. a50=27+49⋅(−2);a50=27−98=−71.
The 50th term of this sequence is (-71).
Ayuden por favor, no entiendo este problema
Answers
We will get that the angle theta is:
θ = β/2
How to find the value of theta?Remember that the sum of the interior angles of any triangle must be equal to 180°.
Now, looking at the triangle in the left, we can see that the top angle is equal to:
180 - 2α
The right angle is equal to:
180 - 2β
And the left angle is α
Then we can write:
α + (180 - 2α) + (180 - 2β) = 180
-α - 2β = -180
α = 180 - 2β
Now we can go to the other triangle, where theta is, and write:
α + β + 2θ = 180
Replacing what we found above, we get:
180 - 2β + β + 2θ = 180
-β + 2θ = 0
θ = β/2
That is the best simplification we can get with the given diagram.
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whaats the answer i dont get it
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Note that the measure of angle ACB for circle centered at point O is 18°.
Why is this?
A circle is a closed curved shape consisting of all points in a plane that are equidistant from a fixed center point.
∠AOB = 2 * ∠ACB (angle at center is twice the angle at circumference)
36 = 2 * ∠ACB
∠ACB = 81°
The measure of angle ACB for circle centered at point O is 18°
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Is 33/3 a natural,whole,integer,rational
Answers
Answer:
Rational number . . . . . .
The table shows data for the number of customers that shopped each hour at store A and at store Bon a Saturday Store 9AM 10AM 11AM 12PM 2 P.M. 3.P.M. 4 P.M. 5 P.M. A 2 3 5 7 10 6 8 9 B 1 4 4 6 10 8 8 6 2 4 N Move the options to the blanks to answer question . Which store's data has the greater mean? Which store's data has the greater median Which store's data has greater range Store A Store b I need help asapppppppppp
Answers
Answer:
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!
The question is in the picture
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A graph of the points is shown in the scatter plot below.
The x-axis represent the hourly wage and the x-axis represent the height.
The association between the height and the hourly wage is a weak positive correlation.
How to construct and plot the data in a scatter plot?
In this scenario, the hourly wage would be plotted on the x-axis (x-coordinate) of the scatter plot while the height would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the hourly wage and height, a linear equation for the line of best fit is given by:
y = 0.056x + 65.085
In conclusion, we can reasonably infer and logically deduce that the scatter plot most likely indicates a weak positive correlation between the x-values and y-values because they both increase simultaneously.
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Rate data often follow a lognormal distribution Average power usage (dB per hour) for a particular company is studied and is known to have a lognormal distribution with parameters 4 and ơ-2. what is the mean power usage (average db per hour)? what is the variance?
Answers
Therefore, the variance of the lognormal distribution for this company is approximately 322196.29 (dB/hour)^2.
To find the mean power usage (average dB per hour) for a lognormal distribution with parameters 4 and ơ-2, we use the formula:
\(Mean = e^{u+ o^{2/2}}\\=e^{u+o}\)
where μ is the mean of the logarithm of the data (in this case, μ = 4) and σ is the standard deviation of the logarithm of the data (in this case, σ = -2).
Substituting the values, we get:
Mean = \(e^{(4 + (-2)^{2/2}}
= e^{(4 + 2)}
= e^6\)
≈ 403.43 dB/hour
Therefore, the mean power usage for this company is approximately 403.43 dB per hour.
To find the variance of the lognormal distribution, we use the formula:
\(Variance = (e^{o^2} - 1) * e^{2u + o^2}\)
Substituting the values, we get:
\(Variance = (e^(-2) - 1) * e^(2*4 + (-2)^2)\\ = (1/e^2 - 1) * e^(8 + 4)\\ = (1/7.389 - 1) * e^{1/2}\\ = 322196.29\)
Therefore, the variance of the lognormal distribution for this company is approximately 322196.29 (dB/hour)^2.
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The number of banks in a country for the years 1935 through 2009 is given by the following function.
f(x)=
81.9x+12,364 if x<90
−376.4x+48,686 if x≥90
, where x is the number of years after 1900
Complete parts (a)-(b).
Question content area bottom
Part 1
a) What does this model give as the number of banks in
1960?
2000?
The number of banks in 1960 is
enter your response here.
The U.S. Crude Oil production, in billions of barrels, for the years from 2005 projected to 2025, can be modeled
y=−0.001x2+0.047x+1.987,
with x equal to the years after 2005 and y equal to the number of billions of barrels of crude oil.
a. Find and interpret the vertex of the graph of this model.
b. What does the model predict the crude oil production will be in 2028?
c. Graph the function for the years 2005 to 2025.
Question content area bottom
Part 1
a. The vertex of the graph of this model is v=(enter your response here,enter your response here).
(Round to three decimal places as needed.)
Answers
The number of banks in 1960 is 19,474, and the number of banks in 2000 is 5,586.
How many banks were there in 1960 and 2000?In 1960, according to the given function, the number of banks can be calculated by substituting x = 60 (years after 1900) into the function f(x). Evaluating this, we get: f(60) = 81.9(60) + 12,364 = 4,914 + 12,364 = 17,278. Therefore, the number of banks in 1960 is 17,278.
Similarly, for the year 2000, we substitute x = 100 (years after 1900) into the function f(x). Evaluating this, we get: f(100) = -376.4(100) + 48,686 = -37,640 + 48,686 = 11,046. Therefore, the number of banks in 2000 is 11,046.
Where different formulas are used for different ranges of x. In this case, the formula f(x) = 81.9x + 12,364 is used for x < 90, and the formula f(x) = -376.4x + 48,686 is used for x ≥ 90.
This allows us to calculate the number of banks for specific years by substituting the corresponding values of x into the appropriate formula.
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(HELP!!) Express the trig ratios as fractions in simplest terms.
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The answers for the following questions and fill uos are given below respectively.
Define the term trigonometry?Study of correlations between triangles' sides and angles is the focus of the mathematical field of trigonometry.
It solves mathematical problems, especially those involving geometric shapes and motion, by using the properties of triangle angles and sides.
We can use the given side lengths of the right triangle KJL to determine the trigonometric ratios:
sin K = opposite/hypotenuse = KJ/LK = 9/10
cos L = adjacent/hypotenuse = KJ/LK = 9/10
To express these trig ratios as fractions in simplest terms, we can simplify each fraction by dividing both the numerator and denominator by their greatest common factor, which is 1 in this case. Therefore:
sin K = 9/10
cos L = 9/10
Since sin K is the ratio of the opposite side (KJ) to the hypotenuse (LK), it corresponds to angle K. Similarly, cos L is the ratio of the adjacent side (KJ) to the hypotenuse (LK), it corresponds to angle L.
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The ratio of the opposing side (KJ) to the hypotenuse is called sin K, which is equivalent to angle K. (LK). Cos L is the ratio of the neighboring side (KJ) to the hypotenuse and is related to angle L. (LK).
Define the term trigonometry?The area of mathematics known as trigonometry focuses on the analysis of relationships between shapes' sides and angles.
It uses the characteristics of triangle angles and sides to answer mathematical problems, particularly those involving geometric shapes and motion.
The trigonometric ratios can be calculated using the side lengths of the right triangle KJL as given:
sin K = opposite/hypotenuse = KJ/LK = 9/10
cos L = adjacent/hypotenuse = KJ/LK = 9/10
We can simplify each fraction by dividing the numerator as well as the denominator by their greatest common factor, which is 1 in this instance, to express these trig ratios as fractions in the simplest possible terms.
sin K = 9/10
cos L = 9/10
Sin K correlates to angle K because it is the ratio of the opposite side (KJ) to the hypotenuse (LK). Similar to cos L, which correlates to angle L, cos L is the ratio of the adjacent side (KJ) to the hypotenuse (LK).
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Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
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How to find an equation for a linear equation
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Step-by-step explanation:
The format is : y=mx + b
m= slope (rise/run)
b= starting value or y-intercept
If you need specific help on finding a linear equation for a graph or a table let me know.
plz help me!!!!!!!!!!!!!!!
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Answer:
Go up 2, then over negative 6
Step-by-step explanation:
Mr.Campbell promised to donate $0.40 per lay-up the basketball teams make at their home games. If he donated $112.50 ,how many lay-ups did the Wildcats make? choose the anwser but show your work A) 5 ,B)56,C)17,D)282
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Answer:
D) 282
Step-by-step explanation:
m angle3=5x and m angle4=75 .
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Answer:
angle3 and angle4 are complementary.
A. true
B. false
Answer is B False
Step-by-step explanation:
Complementary angles are two angles whose measures add up to 90°
what is 2x^4-9x^3+21x^2-26x+12 divided by 2x-3 in long division form?
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Answer:
no
Step-by-step explanation:
right awnser
50 POINTS. For what value of the variable is the value of the expression is -3(2x+1) is 20 greater than the expression 8x+5? Please answer correctly, don't show your work, just give the correct answer.
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Answer:
my x is ;
x= -0.6205
this is because for the first equation to be equal to the second equation we need to multiply the second equation with 20
