b. What does the standard deviation tell you about the trees at these
farms?
Answers
From the given dot plot, it is found that:
1. Farm 1 has mean of 8 inches and standard deviation of 1.15 inches, while Farm 2 has a mean of 8 inches but a standard deviation of 2.31 inches.
2. The lower standard deviation tells that the heights of the trees in Farm 1 are more uniform than in Farm 2.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the cardinality of the data-set, which is the number of values in the data-set.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set.A dot plot shows the number of times that each observation appears in a data-set.
Hence, at farm 1, the measures are given as follows:
6, 7, 7, 8, 8, 8, 9, 9, 10.
The mean is given by:
M = (6 + 2 x 7 + 3 x 8 + 2 x 9 + 10)/9 = 8 inches.
The standard deviation is given by:
S = sqrt[((6-8)² + 2 x (7-8)² + 3 x (8-8)² + 2 x (9-8)² + (10-8)²)/9] = 1.15 inches.
For Farm 2, the measures are given as follows:
4, 6, 6, 8, 8, 8, 10, 10, 12.
Hence the mean and the standard deviation are given, respectively, by:
M = (4 + 2 x 6 + 3 x 8 + 2 x 10 + 12)/9 = 8 inches.S = sqrt[((4-8)² + 2 x (6-8)² + 3 x (8-8)² + 2 x (10-8)² + (12-8)²)/9] = 2.31 inches.Farm 1 trees' heights have a lower standard deviation than Farm 2 trees' heights, hence they have more uniform trees.
What is the missing information?The problem is missing and is given by the image at the end of the answer.
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Related Questions
select the correct answer from the drop -down menu . A=[-9,0,3,-1] b= [0,4,-6,2] the order of matrix A+B is ?
Answers
If A=[-9,0,3,-1] b=[0,4,-6,2] , so the order of matrix A+B is 4x1(4 rows and 1 column).
What is matrix ?Matrix, a set of number arranged in rows and column so as to form a rectangular array. The number are called the elements, or entries, of the matrix .
What does the matrix serve as?Both data and mathematical equations can be represented by the numbers in a matrix. Multiplying matrices can provide quick but accurate approximations of considerably more complex calculations in many time-sensitive engineering applications.
The elements of the matrix are nothing but the entries of the matrix.
So according, To the question we are adding matrix A which is 4 rows and 1 column to matrix B which is also of 4 rows and one column obtaining a third matrix that has also 4 rows and 1 column :
[-9,0,3,-1]+[0,4,-6,2]=[-9,4,-3,1]
The resultant A+B is also of 4 rows and 1 column
Hence the order of matrix A+B is 4x1 (4 rows and 1 column)
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Solve for v.
v²-2v-8=0
Answers
Answer:
v=4,−2
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
[tex]{ \sf{ {v}^{2} - 2v - 8 = 0}} \\ { \sf{(x + 2)(x - 4) = 0}} \\ { \tt{x = - 2 \: \: or \: \: 4}}[/tex]
I am a little confused with this.
Answers
The roots of the given equation are:
x = i√13 and x = - i√13Where, There are 2 roots for this polynomial function because of the need to find + and - of the radicand i√13.What are the roots of an equation?The values of the variable that satisfy a quadratic equation are known as its roots.The solutions or zeroes of the quadratic equation are other names for them.The x-coordinates of the x-intercepts of a quadratic function are the roots of the function.Solving quadratic equations refers to the process of locating the roots of quadratic equations.Get roots of equation, 2x² + 26 = 0:
2x² + 26 = 02x² = -26Divide both sides by 2:
x² = -13Finding square roots on both sides:
x = √-13x = √13i²x = ±i√13So, the roots of the equation are x = ±i√13.
There are 2 roots for this polynomial function because of the need to find + and - of the radicand i√13.A real number is multiplied by the imaginary unit i that is specified by its property i²-1 to create an imaginary number.Therefore, the roots of the given equation are:
x = i√13 and x = - i√13Where, There are 2 roots for this polynomial function because of the need to find + and - of the radicand i√13.To learn more about the roots of an equation, refer to:
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work out (5 times 10^3) x (9 times 10^7) Give your answer in standard form
Answers
The standard form of (5 times 10^3) x (9 times 10^7) is 45x10^10
(5 times 10^3) x (9 times 10^7)
=5x10^3 x 5x10^7
=5x9 x 10^(3+7)
=45x10^10
The answer can also be written in the Decimal Point format,
=4.5x10^11
This answer can be elaborated by using the Product of Powers rule of exponents. In this rule, we add exponents when multiplying powers with the same base.
Exponent = The number of multiplications by itself. It is represented as written above and to the right of a number.
For example:
10^7, where 10 is the base and 7 is an exponent.
Product of Powers rule of Exponents:
a^b x a^c = a^(b+c)
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Write the equation for a parallel to Y=3/2x+5 that contains point (0,-2)
Answers
Answer:
Step-by-step explanation:
-2=3/2(0)+5
Find the derivative of the following function:
Answers
The derivative of the function [tex]f(x) = \sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}[/tex] will be given below.
[tex]f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)(1.5x^3 + 4x^2 + 2x + 2)}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}[/tex]
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decrease.
The equation of the function will be given as,
[tex]f(x) = \sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}[/tex]
The derivative of the function will be given as,
[tex]f'(x) = \dfrac{d}{dx} \ \sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2} \\\\\\f'(x) = \dfrac{2 + 2(x^2 + 1)(0.5x^2 + 2x + 1) \cdot (x + 2) + (0.5x^2 + 2x + 1)^2 \cdot 2x}{2\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2} }\\\\\\f'(x) = \dfrac{2 + (0.5x^2 + 2x + 1)[2(x^2 + 1)(x + 2) + (0.5x^2 + 2x + 1) \cdot 2x]}{2\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2} }\\[/tex]
Solve the equation further, then we have
[tex]f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)[(x^2 + 1)(x + 2) + (0.5x^2 + 2x + 1) \cdot x}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}\\\\\\f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)(x^3 + 2x^2 + x + 2 + 0.5x^3 + 2x^2 + x)}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}\\\\\\f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)(1.5x^3 + 4x^2 + 2x + 2)}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}[/tex]
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Please answer the question in the photo (will mark Brainliest if correct)
Answers
Answer:
z = 54
Step-by-step explanation:
The sum of all interior angles in a polygon is given by the formula :
(n-2) × 180 (Where n is the number of sides) .
There are 5 sides so the sum of all interior angles will be :
(5-2) × 180 = 540°
So :
108 + 130 + 140 + 2z + z = 540
Simplify :
378 + 3z = 540
Subtract 378 from both sides :
3z = 540 - 378
3z = 162
Divide both sides by 3 :
z = 162 ÷ 3
z = 54
Hope this helped and have a good day
Use algebra tiles to show the expressions are equivalent.
1) y + 10y and 11y
2) -2(x + 8) and -2x + (-16)
3) x + 2(y - 5x) and 2y - 9x
Answers
Hey you man what are you doing here go to there
what is the y value of the kilo
Answers
y value of the kilo
y = (1/1000) x
imagine
x = 20
y = x / 1000
20 / 1000 = 0.020
The range of x values that define the expression is known as the domain. The collection of all legal y values constitutes the range. To determine the range, use the graph.
How are domain and range determined?
The Equation's Domain and Range in order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y)
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which two values or x are roots of the polynomial below? x2 - 11x + 13
Answers
The two values or x of roots of the polynomial are
[tex]x=\frac{11+\sqrt{69}}{2}, \frac{11-\sqrt{69}}{2}[/tex]
This is further explained below.
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Generally, the equation for polynomial the is mathematically given as
x^2 - 11x + 13
Therefore
We know that,
[tex]x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}[/tex]
Here,
a=1
b=-11
c=13
Putting the values,
[tex]x=\frac{-(-11) \pm \sqrt{(-11)^2-4 \times 1 \times 13}}{2 \times 1} \\[/tex]
[tex]&=\frac{11 \pm \sqrt{121-52}}{2} \\\\&=\frac{11 \pm \sqrt{69}}{2} \\[/tex]
Therefore
[tex]x=\frac{11+\sqrt{69}}{2}, \frac{11-\sqrt{69}}{2}[/tex]
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us the data set to choose the two measures that are equivlent 4, 5, 6, 7, 8
Answers
The mean and median of the data are equivalent and the value is 6.
The mean (average) of a data set can be calculated by adding up all the numbers in the collection and dividing by the total number of values in the set.
When a data set is sorted from least to greatest, the median is the middle. The value that pops up most frequently in a data set is its mode.Between the lowest and highest value is the range. You subtract the lowest value from the greatest value to calculate it.The exact midpoint between the lowest and highest values in a set of data is the midway value. Finding the middle requires adding the smallest and greatest values together, then dividing the result by two.Let us find the mean of the data set :
mean = (4 + 5 + 6 + 7 + 8) ÷ 5 = 30÷ 5 = 6
Median = 6 middle value.
Therefore the mean and median are equivalent.
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find the length of the sides indicated round to nearest tenth
Answers
2x+5+7x = 8x-11 solve for x
Answers
Answer:
x
Step-by-step explanation:
2x + 5 + 7x = 8x -11 Combine like terms
9x + 5 = 8x -11 Subtract 8x from both sides of the equation
x + 5 = -11 Subtract 5 from both sides of the equation.
x= -16
Answer: -16
Step-by-step explanation:
2x+5+7x = 8x-11 simplifies into 9x+5 = 8x -11.
Move 8x to the other side - put like terms together : 9x-8x+5 = -11
Which is simplified into x+5 = -11
Move 5 to the other side to isolate x: x = -11 -5
Combine -11 and -5
x = -16
Given the equation k over 22.8 equals 6.9, determine the value of k.
3.30
15.9
29.7
157.32
Answers
The value of k in the equation, k over 22.8 equals 6.9, is 157.32.
What is the value of k?The given equation is:
k / 22.8 = 6.9
In order to determine the value of k, multiply both sides of the equation by 22.8.
Multiplication is one of the basic mathematical operation. It is the operation that is used to determine the product of two or more numbers by adding a number with another number repeatedly over a number of times. The sign that represents multiplication is ×.
(k / 22.8) x 22.8 = 6.9 x 22.8
k = 157.32.
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A. Fill in the diagram with the following information for angle A = 2g -24, for angle (choose a number between 65 and 102). Label the diagram with B angle A and B. (1 point)
B. Solve for g
C.find the measure of angles A,C, and D showing all work
pls help :((
Answers
Answer:
answer is c
Step-by-step explanation:
5x+2=10
BEING TIMED HElp
Which rectangular equation is formed by eliminating the parameter?
y = t3
x = t + 5
A.y = x3 – 125
B. y = x3 + 125
C. y = x3 – 5x2 + 25x – 125>>>>>> WRONG
D.y = x3 – 15x2 + 75x – 125
Answers
Answer:
its d i got it right
Step-by-step explanation:
When 12 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.
Answers
When 12 is subtracted from the square of a number and the result is 4 times the number, then the negative solution is -2
Consider the number as x
Square of the number = [tex]x^{2}[/tex]
12 subtracted from the square of a number = [tex]x^{2} -12[/tex]
4 times the number = 4x
Then the equation will be [tex]x^{2} -12=4x[/tex]
Rearrange the terms and it will become a quadratic equation
[tex]x^{2} -4x-12=0[/tex]
Split the middle term and solve the equation
[tex]x^{2} +2x-6x-12=0[/tex]
Take common terms
x(x+2)-6(x+2) = 0
Take common term outside
(x-6)(x+2) = 0
Therefore
x = 6, -2
The negative solution is -2
Hence, when 12 is subtracted from the square of a number and the result is 4 times the number, then the negative solution is -2
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HELP PLEASE!!!!
Simplify −4r(−11r + 2r − 14).
−36r^2 + 56r
−36r^2 − 56r
36r^2 + 56
36r^2 + 56r
Answers
Answer:
[tex]36r^2+56r[/tex][tex]36r^2+56r[/tex]
Step-by-step explanation:
First simplify [tex]-4r(-11r+2r-14)[/tex] into [tex]-4r(-9r-14)[/tex] by adding the terms with common variable r together,
then expand into the answer
Answer:
-36r^2 - 56r
Step-by-step explanation:
Factorización prima de 162
Answers
Explicación:
PLEASE HELP ME
ALL YOU NEED TO DO IS FIND WHERE THE ERROR WAS MADE AND WHAT WAS THE ERROR
Answers
Which equation has no solution
4(x+1)=2x+4 or 9-5x+2=4-5x
Answers
the answer:
9-5x+2=4-5x
Step-by-step explanation:
as there is -5X in the two sides
Enter the equation of the parabola passing through the points (3, 9), (30, -9), (0,1).
The equation of the parabola is y=
Answers
Equation is y = 2x² + 4x + 1.
What is parabola?A parabola is an approximately U-shaped, mirror-symmetrical planar curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.
Given Data
Standard form of quadratic equation
Y = ax² +bx + c
Given points
(3,9), (30,-9). (0,1)
Equating points in formula
9= a(3)² + b(3) + c
9 = 9a + 3b +c
-9 = a(30)² + 3(30) + c
-9 = 900a + 90 + c
1 = a(0)² + b(0) + c
c = 1
Equating c in the equation
9 = 9a + 3b +1
8 = 9a + 3b
-9 = 900a + 90b +1
-10 = 900a + 90b
Multiplying both sides by 100
800 = 900a + 300b
-10 = 900a + 90b
--------------------------
790 = 210b
b = 4 (rounding off)
Putting values of b into equation
8 = 9a + 3(4)
20 = 9a
a = 2 (rounding off)
Equation is y = 2x² + 4x + 1.
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Latisha has $40 in her checking account. She makes a withdrawal of $20 and then writes a check for $40. Then she deposits $30. Use the number line and complete the equation to find her final balance.
Answers
The final balance that will be in the account of Latisha is $10.
What is a checking account?A checking account simply means the account that makes use of a check. It is usually used by business owners.
From the information, Latisha has $40 in her checking account, she makes a withdrawal of $20 and then writes a check for $40 and then she deposits $30.
The appropriate operations to find the balance will be:
= 40 - 20 - 40 + 30
= 10
She will have $10 left. Note that a withdrawal is subtraction.
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what is the area of a rectangle wxyz with vertces w(0,1), x(3,4), y(-1,8), z(-4,5)
Answers
Answer: I think 43
Step-by-step explanation:
Draw on a graph out the points and then add up the middle of your shape.
Your welcome!
Which numbers are a distance of 0.9 units from −2 on this number line
Answers
Answer:−2.9 and −1.1
Step-by-step explanation:
In the diagram below, isosceles triangle ABC is drawn with AB is congruent AC and side BC extended through point D. If
m/ACB=2x+16 and m angle ACD=5x+24, find the measure of angle A.
Answers
Answer:
32°
Step-by-step explanation:
Angle A + angle B = angle ACD
Since it is an isosceles triangle angle a = angel b
2(2x + 16) = 5x +24 distribute the 2
4x + 32 = 5x + 24 Subtract 4x from both sides
32 = x + 24 Subtract 24 from both sides
8 = x
Now plug in 8 for x in 2x + 16
2(8) + 16
16+ 16 = 32
I no longer need this to be answered
Answers
Answer:
oh ok hope you got the answer
Step-by-step explanation:
A recipe says that 2 cups of dry rice will serve 6 people. Complete the table as you answer the questions. Be prepared to explain your reasoning.
How many people will 10 cups of rice serve?
How many cups of rice are needed to serve 45 people?
A recipe says that 6 spring rolls will serve 3 people. Complete the table
Answers
Answer:
1a. 10 cups of dry rice will serve 30 people.
1b. 15 cups of dry rice will serve 45 people.
2. 30 spring rolls = 15 people
40 spring rolls = 20 people
56 spring rolls = 28 people
Step-by-step explanation:
1a. To find a constant, the equation is y/x. When 6 is divided by 2, you get 3 and from there the input increases by 3. So, you multiply 10 by 3 to find how many people it can serve.
1b. To find this answer, you divide 45 by 3 to get 15. So 15 cups will serve 45 people.
2. Any number in the second column is divided by .5 to get the number in the first column. Any number in the first column is multiplied by .5 to get the number in the second column.
I hope that helps :)
Determine if 0.68
0.68 is rational or irrational and give a reason for your answer.
choices for explanation-
it is a decimal that repeats
it is the square root of a non perfect square
it is the square root of a perfect square
it is a decimal that does not repeat or terminate
it is a decimal that terminates
(urgent pls help)
Answers
0.68 is a rational number and the reason is because:
It is a decimal that terminatesWhy is 0.68 a rational number?0.68 can be regarded as a rational number because it is a finite number that is also a fraction of two whole integers. In this case, the integers are 68 and 10. Another feature by which rational numbers are known is the fact that they are repeating in nature.
However, it is important to note that the decimal here is terminating in nature because it has a finite number of zeros behind the number 8. So, the reason for selecting 0.68 as a rational number is that it terminates.
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Find 3 decimals x such that : 4.1 < x < 4.2
Answers
Answer:
There are many numbers, but here are three
4.11, 4.12, 4.13
Step-by-step explanation: