Step-by-step explanation:
Start with the average. (of your data set)
Find how much each data value deviates from the average (difference of average and data value).
Take the absolute value of each difference.
Add all of these absolute values.
Divide by the total number of data values.
How to find the MAD (Mean Absolute Deviation):
Let's use these numbers to figure out the MAD:
\(5, 2, 1, 3\)
1. First thing you want to do is add the numbers together:
\(5+2+1+3=11\)
2. Second thing you want to do is divide it by 4 because there are 4 numbers in the data set:
\(\frac{11}{4} =2.75\)
3. Third thing you want to do is subtract the data set from 2.75:
\(5-2.75=2.25\\2.75-2=0.75\\2.75-1=1.75\\3-2.75=0.25\)
4. Fourth thing you want to do is add all the differences:
\(2.25+0.75+1.75+0.25=5\)
5. Last thing you want to do is now divide the sum (5) by 4 again:
\(\frac{5}{4}= 1.25\)
So, the answer (MAD) would be 1.25
That's how you find the MAD to any data set in steps.
Hope this helped!
I know I'm 2 years late btw, you've probably already mastered this subject, sorry!
- June 7, 2022 (6/7/22)
k - 3 > and k- 8 < 11
Answer:
I do not understand if this is a question where I am supposed to find the value of K (if so, then you forgot to put a number at the end of the inequality, k - 3 >). Or if this is a statement. Please Clarify.
Step-by-step explanation:
Help on this question please?
Answer:
72.22
Step-by-step explanation:
Classify the polynomial as a monomial, binomial, trinomial, or none of these. x2 - 10x + 25
It is a trinomial because it follows the pattern of x^2 + bx + c. In this case, x^2 - 10x + 25. Also, it only has three numbers and two operation symbols, signifying a trinomial (three = tri).
Find m angle CXY. Someone please help me.
The volume of a sphere with a diameter of 6cm, rounded to the nearest tenth
Answer:
113.1 cm³
Step-by-step explanation:
diameter = 2 X radius
Volume of sphere = (4/3) X π X r ³
= (4/3) π (3)³
= 36π
= 113.1 cm³ to nearest tenth
Write an integral that quantifies the change in the area of the surface of a cube when its side length triples from s unit to 3s units. 18 ) dx Evaluate the integra
The change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.
To quantify the change in the area of the surface of a cube when its side length triples from s units to 3s units, we can set up an integral.
Let's denote the side length of the cube as "x". The initial side length is "s" and the final side length is "3s". We want to find the change in surface area, which is the difference between the final surface area and the initial surface area.
The surface area of a cube with side length "x" is given by 6x², as each face of the cube has an area of x² and there are 6 faces.
The change in surface area can be calculated as:
ΔA = ∫(6x²) dx,
where the integral is taken from the initial side length "s" to the final side length "3s".
Now let's evaluate the integral:
∫(6x²) dx = 2x³ + C,
where C is the constant of integration.
To find the change in surface area, we substitute the limits of integration:
ΔA = [2x³]s to 3s
= 2(3s)³ - 2s³
= 2(27)s³ - 2s³
= 52s³
Therefore, the change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.
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Is each statement true for ⊙A? Drag “true” or “false” below each statement.
Answer:
None was given I am sorry I can not help you. :)
Step-by-step explanation:
The table represents a linear relationship.
x −2 0 4
y 4 3 1
Which equation represents the table?
y equals one half times x plus 5
y equals negative one-half times x plus 3
y = 2x − 3
y = −4x + 2
The equation that represents the table is y = -1/2x + 3
How to determine which equation represents the table?From the question, we have the following parameters that can be used in our computation:
x −2 0 4
y 4 3 1
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 3
Using the points, we have
4m + 3 = 1
So, we have
m = -1/2
This means that
y = -1/2x + 3
Hence, the equation is y = -1/2x + 3
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I got the first part but i dont onow how to get the other ones
The value of x for this problem is given as follows:
x = 5.
Hence the angle measures are given as follows:
m < CAB = 32º.m < FDE = 32º.How to obtain the value of x?
We have that angles A and D are congruent for this problem, meaning that they have the same measure.
Hence the value of x is obtained as follows:
7x - 3 = 5x + 7
2x = 10
x = 5.
Hence the angle measures are given as follows:
m < CAB = 7(5) - 3 = 35 - 3 = 32º.m < FDE = 5(5) + 7 = 32º.More can be learned about angle measures at https://brainly.com/question/25716982
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if p=(3,1) and Q=(-3,-7), find the equation of the circle that has segment PQ as the diameter (x-{?})^2+(y-{?})^2={?}
Answer:
x² + (y + 3)² = 25
Step-by-step explanation:
the centre (C) of the circle is at the midpoint of the diameter.
using the midpoint formula
midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )
with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )
C = ( \(\frac{3-3}{2}\) , \(\frac{1-7}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-6}{2}\) ) = (0, - 3 )
the radius r is the distance from the centre to either P or Q
using the distance formula
r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )
r = \(\sqrt{(3-0)^2+(1-(-3)^2}\)
= \(\sqrt{3^2+(1+3)^2}\)
= \(\sqrt{3^2+4^2}\)
= \(\sqrt{9+16}\)
= \(\sqrt{25}\)
= 5
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (0, - 3 ) and r = 5 , then
(x - 0 )² + (y - (- 3) )² = 5² , that is
x² + (y + 3)² = 25
Please help me with this please and thank you
Answer:
B
Step-by-step explanation:
the common ratio r of a geometric sequence is calculated as
r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{12}{3}\) = 4
Answer:
B 4
Step-by-step explanation:
Divide any number (other than the first one) in the sequence by the previous number.
12/3 = 4
48/12 = 4
Answer: B 4
A hockey player gets a goal on 2 out of 8 shots. If
he keeps getting a goal at the same rate, how
many shots will he have taken after getting 50
goals?
Answer:
200
Step-by-step explanation:
50x4=200
market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers.
Market classes and grades are used to describe the quality and characteristics of agricultural products, including meat, poultry, fruits, and vegetables. True
They provide a common language for buyers and sellers to communicate about the characteristics, such as the age, sex, fat content, and muscling, of the product. Market classes and grades help ensure that buyers receive products that meet their quality standards and help sellers receive a fair price for their products. For example, beef is graded based on marbling, maturity, and lean color, with the highest grade being USDA Prime, followed by USDA Choice and USDA Select.
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Full Question: market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers. T/F
This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.
Market classes and grades refer to the categorization and labeling of carcasses and products based on their quality and characteristics. These classifications use descriptive terminology that is understood by different groups of buyers, such as meat packers, wholesalers, retailers, and consumers. Market classes typically group animals based on their intended use, such as beef cattle for slaughter, while grades are assigned based on factors such as maturity, marbling, and fat content. This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.
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Which of the equations is a quadratic equation? Oy= y = 4x – 10 Oy= 6. y = -22 + 3x – 2 Oy= -14
Answer:
the Quadratic Equation Given the Roots: (1,5) (1,3) (6,-3)
use:
You should use math W ay calculator it will help you a lot.
You put your problem in and it will help you.
Or use Desmos calculator (scientific and graphing)
A company ordered $6,000 worth of chairs. Some of the chairs ordered cost $20 each and the others cost $40 each. If twice as many $20 chairs as $40 chairs were ordered, how many chairs were ordered altogether
In total 180 chairs are ordered for the cost $6000.
The total cost of chairs=$6,000.
What are simultaneous equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Let x be the chairs ordered each at $20 and y be the chairs ordered each at $40.
Then equation will be 20x+40y=6000-------(1)
Given that, twice as many $20 chairs as $40 chairs were ordered.
That is 2x=y⇒2x-y=0--------(2)
Multiply equation (2) by 40.
That is 80x-40y=0--------(3)
By adding equation (2) and (3) we get
20x+40y+80x-40y=6000
⇒100x=6000
⇒x=60
Substitute x=60 in equation (2)
That is, 2x=y
⇒y=120
Total number of chairs=x+y=60+120=180 chairs.
Hence, in total 180 chairs are ordered for the cost $6000.
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\( {2}^{3} \times {4}^{n} = {2}^{11} \)2^3 x 4^n = 2^11Find the value of the variable.
Answer:
n = 4
Explanation:
To find the value of n, we will use the following properties:
\(\begin{gathered} \frac{2^a}{2^b}=2^{a-b} \\ 4^n=2^{2n} \end{gathered}\)Now, we have the expression:
\(2^3\cdot4^n=2^{11}\)Divide both sides by 2³, so:
\(\begin{gathered} \frac{2^3\cdot4^n}{2^3}=\frac{2^{11}}{2^3} \\ 4^n=2^{11-3} \\ 4^n=2^8 \end{gathered}\)Then, we can replace 4^n by 2^(2n), so:
\(2^{2n}=2^8\)Since the base on both sides is equal to 2, we can equal the exponents, so:
\(2n=8\)Finally, divide both sides by 2, so:
\(\begin{gathered} \frac{2n}{2}=\frac{8}{2} \\ n=4 \end{gathered}\)So, the value of n is 4.
Question
A solid rectangular right prism is 10 inches long, 9 inches high, and 9 inches deep. At one square base of the prism, a 2 inch high square pyramid is cut from the prism. At the opposite square base of the prism, a square pyramid measuring 3 inches high is added. The bases of the pyramids are the same size as the square bases of the rectangular prism.
What is the volume of the composite figure?
Enter your answer in the box.
_in³
After doing the calculation we can conclude that the volume of the composite figure is 837 cubic inches.
Explain volume?The volume of a cube is defined as the total amount of cubic units that it fills. Volume can be defined as the whole area that an object takes up. The volume of such a cube can be calculated using the equation a3, where an appears to indicate the cube's edge.
The following formula can be used to get the rectangular prism's volume:
Volume = length x width x height
The dimensions in this instance are 10 inches long, 9 inches wide, and 9 inches high. Hence, the rectangular prism's volume is:
Volume of rectangular prism = 10 x 9 x 9 = 810 cubic inches
The volume of the pyramid that was cut from the prism can be calculated using the formula:
Volume equals (1/3) of base area times height.
Since the base of the pyramid is a square with sides of 9 inches, its base area is:
Base area of cut pyramid = 9 x 9 = 81 square inches
The height of the pyramid is 2 inches, so its volume is:
Volume of cut pyramid = (1/3) x 81 x 2 = 54 cubic inches
The volume of the pyramid that was added to the opposite base of the prism can also be calculated using the same formula:
Base area of added pyramid = 9 x 9 = 81 square inches
Volume of added pyramid = (1/3) x 81 x 3 = 81 cubic inches
To find the volume of the composite figure, we need to subtract the volume of the cut pyramid from the volume of the rectangular prism and then add the volume of the added pyramid:
Volume of composite figure = Volume of rectangular prism - Volume of cut pyramid + Volume of added pyramid
Volume of composite figure = 810 - 54 + 81 = 837 cubic inches
Therefore, the volume of the composite figure is 837 cubic inches.
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A piecewise function is a defined by the equations below.
Write a function which takes in x as an argument and calculates y(x). Return y(x) from the function.
If the argument into the function is a scalar, return the scalar value of y.
If the argument into the function is a vectorr, use a for loop to return a vectorr of corresponding y values.
The function returns the resulting vector of y values as a NumPy array.
Here is a Python implementation of a piecewise function that takes in a scalar or a vector and returns the corresponding y values:
import numpy as np
def piecewise_function(x):
if isinstance(x, (int, float)): # Check if scalar
if x < -2:
return x**2 - 1
elif -2 <= x < 2:
return np.exp(x)
else:
return np.sin(x)
elif isinstance(x, np.ndarray): # Check if vector
y = []
for elem in x:
if elem < -2:
y.append(elem**2 - 1)
elif -2 <= elem < 2:
y.append(np.exp(elem))
else:
y.append(np.sin(elem))
return np.array(y)
else:
raise ValueError("Invalid input type. Must be a scalar or a vector.")
# Example usage
x_scalar = 3
y_scalar = piecewise_function(x_scalar)
print("Scalar output:", y_scalar)
x_vector = np.array([-3, 0, 3])
y_vector = piecewise_function(x_vector)
print("Vector output:", y_vector)
In this implementation, the function piecewise_function checks the type of the input (x) to determine whether it is a scalar or a vector. If it is a scalar, the function evaluates the corresponding piecewise equation and returns the resulting y value. If it is a vector, a for loop is used to iterate over each element of the vector, applying the piecewise equations and storing the y values in a list. Finally, the function returns the resulting vector of y values as a NumPy array.
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Find 8-5x8-2
Write the answer in exponential form
Answer:
Step-by-step explanation:
To solve the expression 8 - 5 × 8 - 2, we follow the order of operations (PEMDAS/BODMAS), which states that we should perform the operations inside parentheses first, then any exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.
8 - 5 × 8 - 2 can be simplified as:
8 - (5 × 8) - 2
8 - 40 - 2
-32 - 2
-34
Therefore, the answer to the expression 8 - 5 × 8 - 2 is -34.
In exponential form, -34 can be written as (-1) × 34:
(-1) × 34
A dog breeder breeds both dalmations and terriers.
2/5 of the dogs they breed are terriers.
What is the ratio of dalmations to terriers bred?
Answer:
3:2
Step-by-step explanation:
2/5 are terriers which means 3/5 of them are dalmations
Select the best answer regarding the effects of Carbon monoxide: a. The affinity between CO and hemoglobin is about the same as oxygen. b. The central chemoreceptors will detect the reduction in oxygen delivered to the cells and will increase their firing rate. c. CO results in less oxygen loading hemoglobin but unloading is not changed. d. A small amount of CO in the air will not reduce arterial PO2 levels enough to be sensed by the peripheral chemoreceptors.
The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.
Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.
However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.
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19, Let * be the binary operation on Z defined by a * b = a + 2b. Prove or disprove that each of the following subsets is closed in Z under (a) The set E of even integers
Let * be the binary operation on Z defined by a * b = a + 2b. To prove whether the set E of even integers is closed under the binary operation *, we need to show that for any two even integers a and b, their sum a + 2b is also an even integer.
Let a and b be two even integers, which means they can be written as a = 2m and b = 2n for some integers m and n. Then, the result of the binary operation * is:
a * b = a + 2b = 2m + 4n = 2(m + 2n)
Since m and 2n are both integers, their sum (m + 2n) is also an integer. Therefore, a * b can be written as 2 times an integer, which means it is an even integer.
Thus, we have shown that for any two even integers a and b, their binary operation * result a * b is also an even integer. Therefore, the set E of even integers is closed under the binary operation *.
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Can someone help me ASAP.
Answer:
A. JK and LM lie in the same plane
B. JK and LM do not intersect
E. JK and LM are parallel
Step-by-step explanation:
hope this helped
An investment account with the same initial investment and the same APR has the most APY if the interested is compounded monthly daily annually continuously______O MonthlyO DailyO AnnuallyO Continuously
If the interest is compounded continuously, an investment account with the same initial investment and the same APR will have the highest APY.
APY (Annual Percentage Yield) is the effective annual rate of return after compounding. The higher the APY, the more frequently the interest is compounded.
Compounding yields the highest APY because it effectively provides an infinite number of compounding periods. Compounding daily, monthly, or annually yields lower APYs than compounding continuously.
An investment account is a type of financial product that allows people to save or invest money in the hopes of earning a profit. Individual retirement accounts (IRAs), brokerage accounts, savings accounts, and other types of investment accounts are available.
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HELP ME PLEAS EGIVE BRAINLY!!!!!!
Answer:
-3 times
Step-by-step explanation:
slope is -6 so -6/2=-3
0.27 as a fraction in simplest form
Answer:
0/27
Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 22 numbers to the right of the decimal point, place the decimal number over 102102 (100)(100). Next, add the whole number to the left of the decimal.
Answer:
yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet
Step-by-step explanation:
Using the graph to the right, write the ratio in simplest form BC/BD
Tyler has some nickels and some dimes. He has a maximum of 17 coins worth a minimum of $1.15 combined. If Tyler has 4 nickels, determine the minimum number of dimes that he could have.
The minimum number of dimes that Tyler could have is 9
How to determine the minimum number of dimes?To solve this word problem, we can use the information given to set up a system of equations. Let N be the number of nickels and D be the number of dimes.
We know that N + D = 17, because Tyler has a maximum of 17 coins.
We also know that (N×$0.05) + (D×$0.10) = $1.15, because the total value of the coins must be at least $1.15.
Substituting the value of N with 4, we get:
4 + D = 17
4× $0.05 + D × $0.10 = $1.15
0.2 + 0.1D = 1.15
0.1D = 1.15 - 0.2
0.1D = 0.95
D = 0.95/0.1
D = 9.5
Since the number of dimes must be an integer, the minimum number of dimes that Tyler could have is 9
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what sum of money amounts to Rs 60000 in 2 years at the rate of 10% per annum find it
Answer:
Rs.27000
Step-by-step explanation:
60000 ÷ 2 = 30000 per year
30000 × \(\frac{10}{100}\) = Rs. 3000
30000 - 3000 = Rs. 27000
PLSSSSS SOMEONE HELP ME!!!!!!!!
Subtract the polynomials (3^5 + 8^3) − (7^2 − 6^3). Show all work
Answer:
We can simplify each term in the polynomials and then perform the subtraction:
(3^5 + 8^3) − (7^2 − 6^3)
= 243 + 512 − 49 + 216
= 752 - 33
= 719
So, (3^5 + 8^3) − (7^2 − 6^3) = 719
Hello! :3
Correct Answer: 716
The answer below is incorrect! solved with 3^3 instead of 3^5! OOPS!!!
( 27 + 8^3) - (7^2-1x6^3)( 27 + 512 ) - (7^2-1x6^3) (539) - (7^2-1x6^3)(539) - (49-1x6^3)(539) - (49-1x216)539 - (49-216)539 - (-167)539 + 167706Hope this helps! :)