Step-by-step explanation:
small circle
C= pi D
C = 3.1415(9)
C= 28.3 ft
large circle
C= 2(3.1415)(7)
C = 44 ft
Add 28.3 + 44 = 72.3 ft
easy please helppp match the following defintion with the correct term: the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Answer:
4. rise
match the following definition with the correct term:
the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
how many samples of size n=2 can be drawn from this population
The samples of size n = 2 that can be drawn from this population is 28
How many samples of size n=2 can be drawn from this populationFrom the question, we have the following parameters that can be used in our computation:
Population, N = 8
Sample, n = 2
The samples of size n = 2 that can be drawn from this population is calculated as
Sample = N!/(n! * (N - n)!)
substitute the known values in the above equation, so, we have the following representation
Sample = 8!/(2! * 6!)
Evaluate
Sample = 28
Hence, the number of samples is 28
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Complete question
A finite population consists of 8 elements.
10,10,10,10,10,12,18,40
How many samples of size n = 2 can be drawn this population?
what is the surface area of the triangular prism shown
Check the picture below.
\(\stackrel{\textit{\LARGE Areas}}{\stackrel{two~triangles}{2\left[\cfrac{1}{2}(15)(8) \right]}~~ + ~~\stackrel{rectangle}{(25)(15)}~~ + ~~\stackrel{rectangle}{(25)(17)}~~ + ~~\stackrel{rectangle}{(25)(8)}} \\\\\\ 120~~ + ~~375~~ + ~~425~~ + ~~200\implies 1120~yd^2\)
Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. y = x3, y = 8, x = 0
Sketch the region and a typical shell.
The volume of the solid obtained by rotating the region bounded by the curves y = x^3, y = 8, and x = 0 about the x-axis can be found using the method of cylindrical shells.
To find the volume using cylindrical shells, we integrate the circumference of each cylindrical shell multiplied by its height. In this case, the shells will be formed by considering vertical slices of the region bounded by the curves.
The region bounded by the curves y = x^3, y = 8, and x = 0 forms a shape that looks like a cup. The bottom of the cup is the curve y = x^3, and the top of the cup is the line y = 8. The x-axis serves as the base of the cup. When we rotate this region about the x-axis, we can imagine cylindrical shells being formed. Each shell has a height equal to the difference between the top and bottom functions at a given x-value, which is 8 - x^3. The circumference of each shell is given by 2πx, where x is the x-coordinate.
To find the volume, we integrate 2πx times the height 8 - x^3 with respect to x, where the integration is performed over the appropriate interval. The integral will give us the sum of the volumes of all the cylindrical shells, which represents the total volume of the solid.
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help pls thx guys photo attached
Answer:
x = 18
A = 110
Step-by-step explanation:
Angles A and B are supplementary angles so they add to 180 degrees
A + B = 180
5x+20 + 9x -92 = 180
Combine like terms
14x -72 = 180
Add 72 to each side
14x-72+72 = 180+72
14x = 252
Divide each side by 14
14x/14 = 252/14
x =18
A = 5x+20
= 5*18 +20
=90 +20
= 110
which expression is equivalent to the given expression?2x^2 - 11x - 6A. 2(×-3)(×+1)B. (2×+3)(×-2)C. (2×+1)(×-6)D. 2(x+3)(×-2)
ANSWER
C. (2×+1)(×-6)
EXPLANATION
We want to find the equivalent expression to the one given.
To do that, we have to factorise the expression.
We need to separate -11x into two numbers such that the sum of those numbers is -11 and the product of those numbers is -12 (i.e. -6 * 2).
The two numbers are -12 and 1.
So, the expression becomes:
\(\begin{gathered} 2x^2\text{ - 12x + x - 6} \\ 2x(x\text{ - 6) + 1 (x - 6)} \\ \Rightarrow\text{ (2x + 1)(x - 6)} \end{gathered}\)So, the equivalent expression is Option C.
Find the value of x when 5 - x = 1 2 x + 4 A) -6 B) 2 C) 2 3 D) 3 2
Answer:
-1/13
Step-by-step explanation:
5-x= 12x + 4
5-4=12x + x
1 = 13x
-1/13 = x
Solve for X.
4(x - 3) - 5x >- 2
Answer:
x<-10
Step-by-step explanation:
4x-12-5x>-2
-1x-12>-2
+12 +12
-1x>10
-1x/-1>10/-1
x<-10
u switch the inequality when the number is divided by a negative number btw:) hope this helped:D
Solve the following proportion for v.
Round your answer to the nearest tenth.
Answer:
The value of v ≈ 4
Step-by-step explanation:
⁵/₁₃ = ⱽ/₁₀
Now,
5 × 10 = 13 × v
50 = 13v
13v = 50
v = 50 ÷ 13
v = ⁵⁰/₁₃
v = 3.846 ≈ 4
v ≈ 4
Thus, The value of v ≈ 4
-TheUnknownScientist
Please discuss whether or not the following problems are data mining tasks. Explain why. [30 points]
3(a). Retrieve students' records from a relational table with grade = "A". [5 points]
3(b). From the table of students' information, check if attributes last name and address have any correlations. [5 points]
3(c). Find all the documents from the text database containing keywords "data mining". [5 points]
3(d). Divide the text database into several groups, each group containing near-duplicate or similar documents. [5 points]
3(e). Based on historical stock data, as well as other attributes (e.g., gold price, gas price, etc.) for the past few days, predict the trend of a stock tomorrow. [5 points]
3(f). Please provide your own example of the data mining.
All the following problems are data mining tasks.
(a) Retrieving students' records from a relational table with a grade = "A" involves extracting specific data from a database, which is a fundamental task in data mining.
(b) Checking correlations between attributes like last name and address in a table of students' information involves analyzing the relationship between different variables, which is a data mining task.
(c) Finding documents containing specific keywords ("data mining") from a text database involves searching for patterns in unstructured data, which is a typical data mining task.
(d) Dividing a text database into groups of near-duplicate or similar documents requires identifying similarities or patterns within the data, which is a common task in data mining, such as clustering or classification.
(e) Predicting the trend of a stock based on historical stock data and other attributes involves analyzing patterns and relationships within the data, making it a predictive data mining task.
(f) Example: Analyzing customer purchase history to identify patterns and associations between products and customer preferences, enabling personalized product recommendations and targeted marketing campaigns.
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PLEASE HELPPP 1. How many quadrants are on a Cartesian plane?
2
3
1
04
I will be helping you today!
Answer:
4 quadrants
Step-by-step explanation:
A Cartesian plane is a graph with two axes, one is called the x-axis and the other one is the y-axis. These two axes are perpendicular to each other, dividing the plane into 4 quadrants.
A quadrant is an area contained by the x and y axes, shown in the image below
Since there are two-axis going over each other, the plane is divided into 4 sections, and those sections are what we call quadrants. On the top right, we have the first quadrant, on the top left we have the second quadrant, on the bottom left we have the third quadrant and on the bottom right we have the fourth quadrant.
Hope this Helps!
Have a wonderful Friday! :)
Falco Inc. financed the purchase of a machine with a loan at 3.86% compounded semi- annually. This loan will be settled by making payments of $9,500 at the end of every six months for 6 years. a. What was the principal balance of the loan? b. What was the total amount of interest charged?
a. The principal balance of the loan was the initial amount borrowed, which can be calculated by finding the present value of the payment stream using the loan interest rate and the number of periods.
b. The total amount of interest charged can be calculated by subtracting the principal balance from the total amount repaid over the 6-year period.
a. To find the principal balance of the loan, we need to calculate the present value of the payment stream. The loan has semi-annual compounding, so we can use the formula for present value of an annuity to find the initial amount borrowed. Given that the payments are $9,500 made at the end of every six months for 6 years, and the loan is compounded semi-annually at a rate of 3.86%, we can plug these values into the formula to calculate the principal balance.
b. The total amount of interest charged can be obtained by subtracting the principal balance from the total amount repaid over the 6-year period. Since the loan is repaid with payments of $9,500 every six months for 6 years, we can multiply the payment amount by the total number of payments made over the 6-year period to get the total amount repaid. By subtracting the principal balance from this total amount repaid, we can determine the total interest charged.
By performing the calculations for both parts (a) and (b), we can find the principal balance of the loan and the total amount of interest charged.
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carly and four friends went to dinner at a restaurant. Carly paid $180 to cover the cost of everyone's dinner. Each persons meal cost the same amount. How much did each meal cost
Grace wants to buy a jump rope that costs $7, a board game that costs $10, and a playground ball that costs $4. She has saved $10 from her allowance, and her uncle gave her $3. How much more money does Grace need to buy the jump rope, the game, and the ball?
Grace need to buy the jump rope, the game, and the ball $8.
$7 will get you a jump rope.
$10 will get you a board game.
$4 will get you a playground ball.
total amount to be spent: $7 + $10 + $4 = $21
She has ten dollars.
$3 was all her uncle gave her.
13 dollars are all she has.
She needed $8, therefore 21 - 13 = $8.
a sum of money awarded as compensation, a bounty, or to cover costs. a wage that comes with a cost-of-living supplement. especially: a regular amount set aside for household or personal costs.
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Select the correct answer.
Solve the system of equations.
y = x + 3
\(y=x^{2} +7x+8\)
A.
(-1,-4) and (-5,-8)
B.
(-1,2) and (-5,-2)
C.
(1,4) and (5,8)
D.
(-1,-2) and (-5,2)
Answer:
B. (-1,2) and (-5,-2)
Step-by-step explanation:
Substitute x + 3 in for y in the second equation. you get
\(x + 3 = x^{2} + 7x + 8\\x^{2} + 6x + 5 = 0\)
(x + 1)(x + 5) = 0
x + 1 = 0 or x + 5 = 0
x = - 1 or x = -5
Using the first equation, let x = -1 and x = -5 in order to get the corresponding values for y
y = -1 + 3 = 2 and y = -5 + 3 = -2
So, B is the correct answer.
Please hurry and help
Answer: 90
Step-by-step explanation: I've done this before, this was the correct answer
Answer:90
Step-by-step explanation:
r=2 s=3 t=5
2x3 squared is 2x(3x3)=18
18x5=90
5x + 6y =200
Solve the equation
Answer:
x=40-6/5y
Step-by-step explanation:
5x=200-6y
x=40-6/5y
Find the area under the standard normal curve between the given
C-values. Round your answer to four decimal places, if necessary.
Z₁ = -1.65, Z2 = 1.65
The area under the standard normal curve between the given Z-values is 0.901
How to find the area under the standard normal curve?From the information, Z₁ = -1.65, Z₂ = 1.65
To find the area under the standard normal curve between the given Z-values, we can use a standard normal table
Check the values against 1.65 (the values -1.65 and 1.65 are the same). The value is 0.4505 (See highlighted point in the attached image)
Using a standard normal table, we can find that the area under the curve between -1.65 and 1.65 is:
P(-1.65≤ Z ≤ 1.65) = 0.4505 + 0.4505 = 0.901
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What is the area in square inches of this quadrilateral
Answer:
160 in²
Step-by-step explanation:
20 * 16 / 2
if we wouldn't devide with 2, we would calculate the rectangle around the quadrilateral
Answer:
G, 160 in^2
Step-by-step explanation:
Let us start with the general equation to find the area of this quadrilateral, which is noticably a rhombus, \(A=\frac{d_1d_2}{2}\), where the two d represent the two diagonals of the rhombus.
Notice that the longer diagonal consists of two 10in. portions. Let's add them up to find the total length:
\(10+10=20\)in.
Now let's find the smaller diagonal consisting of two 8 in. portions:
\(8+8=16\)in.
Great! Let's plug in to solve for the area:
\(A=\frac{20*16}{2} \\A=\frac{320}{2} \\A=160\)
Therefore, the area of the quadrilateral is G, 160 in^2.
I hope this helps! Let me know if you have any questions :)
The pyramid of the sun in mexico is a square pyramid. the base edge is approximately 220 meters, and the height is approximately 70 meters. what is the approximate surface area of the sides of the pyramid to the nearest thousand square meters? the lateral surface area is about .
The lateral surface area is about 105,600 meters.
What is lateral area of a pyramid?The area of the pyramid is the measure relative to its surface and is obtained by the sum of the areas of the bases (polygonals) and of all the lateral faces (triangles). For the calculation of the lateral area of a pyramid, we will have the perimeter of the base by the inclined height of the pyramid.
In this case, the formula of the lateral surface area is:
\(SA=\frac{P*S}{2}+B\)
Where:
P= perimeter of baseS= slant heightB= area of baseThe height informed will not be used, it will only be a parameter to perform pythagoras, that is, we will find the hypotenuse of the triangle created by the height, like this:
\(S=\sqrt{(B)^2/2+H^2} \\S=\sqrt{110^2+70^2}\\S=\sqrt{17,000}\\ S=130\)
Returning to the formula given above, we find that:
\(SA= \frac{(220*4)(130)}{2}+(220*220)\\ SA= 57,200+48,400= 105,600 \ meters\)
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-8 1\2 compare to -9 1\2
Step-by-step explanation:
-81/2 =-40.5
-91/2 =-45.5
describe a statistical advantage of using the stratified random sample over a simple random sample in the context of thgis study
The use of a stratified random sample over a simple random sample provides a statistical advantage in ensuring that the sample accurately represents the population. Stratified random sampling involves dividing the population into subgroups or strata based on certain characteristics, such as age or income.
This allows for a more representative sample as it ensures that each stratum is represented proportionally in the sample. In contrast, a simple random sample does not take into account any characteristics or strata of the population, which may result in an unrepresentative sample. Therefore, the use of a stratified random sample provides a statistical advantage by reducing the potential for sampling bias and increasing the accuracy of the study's results.
In the context of your study, a statistical advantage of using a stratified random sample over a simple random sample is that it ensures greater representation and accuracy in the results.
In a stratified random sample, the population is first divided into distinct subgroups or strata based on specific characteristics, such as age, gender, or income. Then, a simple random sample is taken from each stratum. This method helps to better represent each subgroup in the sample, which in turn improves the overall accuracy of the results.
On the other hand, a simple random sample involves selecting individuals from the entire population without considering any specific characteristics. This approach may not adequately represent certain subgroups, leading to potential biases and less accurate results. In summary, stratified random sampling provides a statistical advantage over simple random sampling by ensuring a better representation of subgroups, leading to more accurate and reliable results.
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According to the Rational Root Theorem, -2/5 is a potential rational root of which function? ) = 4x4.72#*#25 O Foxo = 9x47x+10 OF) = 10x - 729 Fox) = 25x4.72
Answer:
Option (4)
Step-by-step explanation:
Option (1)
f(x) = 4x⁴- 7x²+ x + 25
Possible rational roots will be,
\(\frac{\pm \text{Factors of constant term '25'}}{{\pm \text{Factors of leading coefficient '4'}}}\)
For the given function,
Possible rational roots = \(\frac{\pm 1, 5, 25}{\pm 1,2}\)
= \(\pm 1, \pm 5, \pm 25, \pm \frac{1}{2},\pm\frac{5}{2},\pm\frac{25}{2}\)
Therefore, \(-\frac{2}{5}\) is not the possible root.
Option (2)
f(x) = 9x⁴- 7x²+ x + 10
Possible rational roots = \(\frac{\pm 1,\pm 2,\pm 5,\pm10}{\pm 1,\pm3,\pm9}\)
Therefore, \(-\frac{2}{5}\) is not the possible root.
Option (3)
f(x) = 10x⁴- 7x²+ x + 9
Possible rational roots = \(\frac{\pm1, \pm3, \pm9}{\pm 1,\pm2,\pm5,\pm10}\)
Therefore, \(-\frac{2}{5}\) is not the possible root.
Option (4)
f(x) = 25x⁴- 7x²+ x + 4
Possible rational roots = \(\frac{\pm 1,\pm2,\pm5}{\pm1,\pm5,\pm 25}\)
= \(\pm1,\pm2,\pm5,\pm\frac{1}{5},\pm\frac{1}{25},\pm\frac{2}{5},\pm\frac{2}{25}\)
Therefore, \(-\frac{2}{5}\) is the possible rational root.
Option (4) will be the answer.
give a binary representation for each number given below in hex. drop the leading zeroes in your binary representation. (a) a3 (b) 1fc (c) 2a0b
The binary representation is (a) a3 in binary is 10100011(b) 1fc in binary is 11111100(c) 2a0b in binary is 1010100000001011
In hexadecimal, each digit represents four bits, which means that two hexadecimal digits can represent eight bits. As a result, converting from hexadecimal to binary is straightforward. The four bits corresponding to each hexadecimal digit can be written down, resulting in an 8-bit binary value.
To convert hexadecimal to binary, simply convert each hexadecimal digit to binary, then combine them to get the final binary representation. For instance, in a, the hexadecimal digit a has a binary representation of 1010, while the digit 3 has a binary representation of 0011.
Combining these results in a binary representation of 10100011. Similarly, the binary representations of 1f and c are 00011111 and 00001100, respectively.
Combining them results in 11111100. Finally, the binary representation of 2a0b is obtained by converting 2, a, 0, and b to binary, resulting in 0010, 1010, 0000, and 1011, respectively. Combining them results in 1010100000001011.
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At west view high school, every freshman (fr) and sophomore (so) has either math (m), science (s), english (e), or history (h) as the first class of the day. The two-way table shows the distribution of students by first class and grade level. Which expression represents the conditional probability that a randomly selected freshman has english as the first class of the day? p( ) what is the probability that a randomly selected freshman has english as the first class of the day?.
The probability that a randomly selected freshman has English as the first class of the day is 1/5 or 20%.
The expression that represents the conditional probability that a randomly selected freshman has English as the first class of the day is: p(E|Fr), where E represents English and Fr represents freshman.
To calculate this probability, we need to use the information from the two-way table. The total number of freshmen is given in the table as 150. The number of freshmen with English as their first class is 30.
So, the probability that a randomly selected freshman has English as the first class of the day can be calculated as:
p(E|Fr) = Number of freshmen with English as first class / Total number of freshmen
p(E|Fr) = 30 / 150
Simplifying the expression:
p(E|Fr) = 1/5
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Alexais oing to build a wooden gate for her neighbor's fence. The neighbor will pay her $200 no matter how long the work takes. Surpose
is a constant and and are defined as follows
the number of hours Alexa
works
Alexarate in dollars per hour
We of function best models the relationship between X and y?
Answer:
y=x+k
Step-by-step explanation:
her rate never changes because"pay her $200 no matter how long the work takes"
A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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The question is in the picture
Answer:
no clue sorry.
find the value of x and 6
Answer:
x + 6 = -6
Step-by-step explanation:
Assuming x = -6
\(x+6=0\)
Subtract 6
\(x+6-6=0-6\)
Simplify arithmetic
\(x=0-6\)
Simplify arithmetic(again)
\(x=-6\)
we technically solved the equation right at the beginning when we assumed x was equal to -6 in order to group the constants to the right.
Hope this helps, have a great day!
If gas is $4. 00/gal, how much does it cost to travel from Portland, Maine, to Orlando, Florida (a distance of 1,500 mi)? Give your answer to the nearest whole dollar. $.
Answer:
300
Step-by-step explanation:
It's gonna cost 300 dollars because you first find how many miles you can get for a gallon and that is 20 miles so you do 1500 miles divided by 20 miles which equals 75 then you do 75 times 4 which equals 300!
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