The approximate number of bricks he will use for the entire building is; 1596 bricks
How to find the area of the building?We are given that;
- Tim is building a brick wall that will be 4 feet high and 57 feet long.
- It takes 7 bricks to build 1 square foot of the wall.
The area of the building is gotten by applying the area of a rectangle which is;
Area of building = Length * Width
Thus;
Area = 4 * 57
Area = 228 square foot
Now, we are told that it takes 7 bricks to build one square foot of wall. Thus;
Number of bricks required here is;
N = 228 * 7
N = 1596 bricks
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The complete question is;
Tim is building a brick wall that will be 4 feet
high and 57 feet long. It takes 7 brick to build 1 square foot of wall
(Area = Length x Width)
Approximately how many bricks will he use for the entire building?
Graph: y ≤ -2
Is (-2,-7) a solution? yes or no
Is ( 2,-1) a solution? yes or no
Answer:
(-2,-7) , yes
(2,-1) , no
Step-by-step explanation:
the question says y is less than or equal to -2 . In the first order pair (-2,-7) , x= -2 & y = -7 in the number line -2 comes first than -7 it means -2 is grater than -7 so the answer is yes but in the second order pair (2,-1) the value of x is 2 and the value of y is = -1 thus -1 is grater than -2 however the question says y should be less or equal but not greater than -2 so the answer is yes for the first order pair and no for the second one
Please be legible and thorough. please be detailed with your explanations. thank you very much.
Q: Solve the infinite potential well problem for a symmetric well. That is, the potential energy function is given by the following:
-a CO r I 2 -a 2 V(r)={ 0 .rs ss > a CO < 2 Or graphically: KV(x) 1 III a/2
your solution should give the following: (a) normalized eigenfunctions (b) eigenvalues hints: follow the same procedure as done in the text, section 2.2 of griffiths. the only significant difference is the boundary conditions. you should also note that unlike the version in the text(called the asymmetric well) this well is symmetric about the origin and hence shows reflection symmetry: V(.x)=V(-x). As a result, your eigenfunctions must be either even or odd under the same reflection operation. This means you should have two sets of eigenfunctions, one even and the other odd under x inversion. Make sure you see this. X
As per the given inversion, the time independent Schrödinger equation in one dimension is [tex]\frac{-hx^{2}}{2m} \times\frac{d^{2}(x)}{dx^{2} } + U(x)f(x)=Ef(x)[/tex]
The term inversion in math refers a concept in discrete mathematics to measure how much a sequence is out of its natural order.
Here we have given that the potential energy function is given by the following: -a CO r I 2 -a 2 V(r)={ 0, s > a CO < 2}
And we need to find the eigenfunctions must be either even or odd under the same reflection operation.
While we looking into the given question, let us consider E is the total energy of the particle, and U (x) the potential energy function and ψ (x) the spatial part of the wavefunction.
Based on the the function can be written as,
=> [tex]\frac{-hx^{2}}{2m} \times\frac{d^{2}(x)}{dx^{2} } + U(x)f(x)=Ef(x)[/tex]
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a researcher would like to determine if relaxation training will affect the number of headaches for chronic headache sufferers. for a week prior to training, each participant records the number of headaches suffered. participants then receive relaxation training, and for the week following training the number of headaches is again measured. the change in number of headaches before and after training is as follows (minus signs indicate a reduction):
Regression analysis, regression, and immigration analyst analysis are the solutions.
What is Regression analysis?Regression analysis is a group of statistical procedures used in statistical modeling to determine the relationships between a dependent variable (often referred to as the "outcome" or "response" variable, or a "label" in machine learning jargon), and one or more independent variables (often referred to as "predictors," "covariates," "explanatory variables," or "features").
In linear regression, the most typical type of regression analysis, the line (or a more complicated linear combination) that most closely matches the data in terms of a given mathematical criterion is found.
When using the ordinary least squares method, for instance, the specific line (or hyperplane) that minimizes the sum of squared differences between the genuine data and that line is computed (or hyperplane).
This enables the researcher to estimate the for precise mathematical reasons (see linear regression).
Hence, Regression analysis, regression, and immigration analyst analysis are the solutions.
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Triangle TVW is dilated according to the rule
(x,y)(three-fourths x, three-fourths y) to create the image triangle T'V'W', which is not shown.
On a coordinate plane, triangle T V W has points (negative 4, 8), (0, 4), and (4, 4).
What are the coordinates of the endpoints of the segment T'V'?
T'(-3, 6) and V'(0, 3)
T'(-3, 6) and V'(0, 1)
T'(-1, 2) and V'(0, 3)
T'(-1, 2) and V'(0, 1)
The coordinates of the endpoints of the segment T'V' are equal to: A. T'(-3, 6) and V'(0, 3).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of triangle TVW by using the following transformation rule with a scale factor of 3/4: (x, y) → (3x/4, 3y/4)
For coordinate T, we have;
Coordinate T = (-4, 8) → (3/4(-4), 3/4(8)) = Coordinate T' = (-3, 6).
For coordinate V, we have;
Coordinate V = (0, 4) → (3/4(0), 3/4(4)) = Coordinate V' = (0, 3).
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Answer:
A. T'(-3, 6) and V'(0, 3)
Step-by-step explanation:
Find the value of the variable. The sum of angle measures is 180°. Then find the angle measures of the polygon
Answer:
28° + 112° + 40° = 180°
Step-by-step explanation:
A Triangle has 3 angles that adds up to 180°
You are given 3 angles already so they must add up to 180°
Equation: n + 4n + 40° = 180°
Simple the equation.
Add the variable n together.
5n + 40° = 180°
Subtract 40 to both sides.
5n = 140°
Divide 5 to both side to solve for n.
n = 28°
Now plug n into our angles to have our angles in degree.
n = 28°
4n = 4×28° = 112°
40°
28° + 112° + 40° = 180°
Answer:
Step-by-step explanation:
The internal angles of a triangle sum 180°
n + 4n + 40 = 180
5n = 180 - 40
5n = 140
n = 140/5
n = 28
Check:
28 + 4*28 + 40 = 180
28 + 112 + 40 = 180
Answer:
variable n = 28°
∡n = 28°
∡4n = 4*28 = 112°
a company's sales in year 1 were $330,000 and in year 2 were $367,500. using year 1 as the base year, the percent change for year 2 compared to the base year is:
Percentage change in company's sales is 11%
What is percentage?
In arithmetic, a proportion may be a range or magnitude relation expressed as a fraction of a hundred. it's usually denoted victimisation the percentage sign, "%", d. A proportion may be a dimensionless number; it's no unit of measuring.
Main body:
According to the question:
company's sales in year 1 = $330,000
company's sales in year 2 =$367,500
Change = $ 367500 – 330000 = $ 37,500
Percentage change = $ 37500 / $ 330000 = 0.11
Percentage change = 11%
Hence ,Percentage change in company's sales is 11%.
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A rectangular solar panel is 84 cm by 35 cm. By adding the same amount to each dimension, the area is doubled. How
much is added?
Answer:
21
Step-by-step explanation:
84x35=2940
2940x2=5880
84+21=105
35+21=56
105*56=5880
Brad reads a scatterplot that displays the relationship between the number of cars owned per household and the average number of citizens who have health insurance in neighborhoods across the country. The plot shows a strong positive correlation.
Brad recalls that correlation does not imply causation. In this example, Brad sees that increasing the number of cars per household would not cause members of his community to purchase health insurance. Identify the lurking variable that is causing an increase in both the number of cars owned and the average number of citizens with health insurance.
Brad looks at a scatterplot that shows the correlation between the typical population's access to health insurance and the number of cars owned by each household in different parts of the country. A substantial positive association can be seen in the plot.
What are some examples of scatter plots?
The association between two sets of data is depicted by points on a scatter (XY) plot. Each dot in this illustration represents the weight and height of one individual. (The information is displayed as "Cartesian (x,y) Coordinates")
What is the purpose of a scatter plot?
Data points are plotted on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another.
The values of the columns selected on the X and Y axes determine where each row in the data table is represented by a marker, whose position.
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Which of the following points would fall on the line produced by the point-slope form equation y + 12 = 3(x - 4) when graphed
Answer:
where r the points??
Step-by-step explanation:
give them atleast to find the ans.
During a review game, Mr. Pai's class correctly answered 65 questions on the first try. If there were 75 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal. Round to the nearest thousandth.
A. 0.087
B. 0.867
C. 0.133
D. 1.154
Using the concept of ratio, the rate at which questions were answered correctly is 0.867 which is option B
What is RateRate can be defined as comparing two or more ratio with a standard value.
The rate of correct answer can be calculated using the ratio between the number of correct answers to numbers of questions answered.
The rate is given as;
rate = 65 / 75
rate = 0.867
The rate of correct answers is 0.867
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How many pounds are in 2,600 ounces? Enter only a number. Do not enter units.
Answer: 162.5 Pounds
I need help with this by tonight pls or I will not get an updated grade it's hard for me to understand this
Find the Sum, Difference, or Product
1. [tex]3x^2 + 4x -1 - 2x^2 -3x + 2 = x^2 + x + 1[/tex]
2. [tex]12x^5 - 3x^4 + 2x -5+8x^4-3x^3+4x+1 = 12x^5 +5x^4-3x^3+6x-4[/tex]
3. [tex]3x^3 - 2x^2 + 4x-8-5x^3-12x^2+3x+4 = -2x^3-14x^2+7x-4[/tex]
4. [tex]5x^6 - 2x^4 +9x^3+2x-4-7x^5+8x^4-2x+11 = 5x^6-7x^5+6x^4+9x^3+7[/tex]
5. [tex]x^3+3x^2-10x-24[/tex] (Multiply the first two factor, then multiply the product to the last factor)
6. [tex](7h+4)*(7h+4)= 49h^2+28h+28h+16 =49h^2+56h+16[/tex]
Factor the Sum or Difference of Cubes
Sum of Cubes Formula: [tex]a^3+b^3 = (a+b)(a^2-ab+b^2)\\[/tex]
Difference of Cubes Formula: [tex]a^3-b^3 = (a-b)(a^2+ab+b^2)\\[/tex]
Just apply it to the equations.
1. [tex]x^3 + 4^3 = (x+4) (x^2 - 4x+16)[/tex]
2. [tex]c^3 - 3^3 = (c-3) (c^2+3c+9)[/tex]
3. [tex](3d)^3 + 2^2 = (3d+2)((3d^)^2-(3d)(2)+4) = (3d+2)(9d^2-6d+4)[/tex]
4. [tex]5^3-(2b)^3= (5-2b)(5^2+(2b)(5)+(2b)^2) = (5-2b)(25+10b+4b^2)[/tex]
Factor the Polynomials Completely
Nt. I'm having a hard time with this one
1. [tex]x(x-6)(x+4)+24(x-1)[/tex]
2. [tex]2m^4 (m-4)(m-8)[/tex]
3. [tex](6v+7)(3v+2)[/tex]
4. [tex]4n^2(n^5-2)(n^5-6)[/tex]
5. [tex](9a^2-16b)(9a^2+16b)[/tex]
6. [tex](4z^2-25y)(4z^2+25y)[/tex]
young's modulus is a quantitative measure of stiffness of an elastic material. suppose that for metal sheets of a particular type, its mean value and standard deviation are 85 gpa and 2.3 gpa, respectively. suppose the distribution is normal. (round your answers to four decimal places.)
(a) Calculate P(79 x 81) when n = 25. (b) How likely is it that the sample mean diameter exceeds 81 when n = 36? You may need to use the appropriate table in the Appendix of Tables to answer this question
(a) Probability that sample mean lies between 79 and 81 is 0.9946.
(b) It is 0.04% likely is it that the sample mean diameter exceeds 81 when n = 36.
We are given that the metal sheets of a particular type, its mean value and standard deviation are 85 GPA and 2.3 GPA, respectively.
Suppose the distribution is normal.
Let X = sample mean diameter
The z-score probability distribution for sample mean is given by;
Z = (X - μ) / (σ / √n)
where,
μ = population mean = 85 GPA
σ = standard deviation = 2.3 GPA
n = sample size = 25
(a) Probability that sample mean lies between 79 and 81 is given by
= P(79<X<81) = P(X<81) - P(X≤79)
P(X<81) = P {(X - μ) / (σ / √n) < (81 - 85) / (2.3 / √25) = P(Z < 2.78) = 0.9973
P(X<79) = P {(X - μ) / (σ / √n) < (79 - 85) / (2.3 / √25) = P(Z < 2.78) = 0.0027
The above probability is calculated by looking at the value of x = 2.78 in the z table which has an area of 0.9973.
Here, P(79 < X < 81) = 0.9973 - 0.0027 = 0.9946
(b) Probability that the sample mean diameter exceeds 81 when n = 36 is given by = P(X > 81)
P(X<81) = P {(X - μ) / (σ / √n) < (81 - 85) / (2.3 / √25) = P(Z < 3.33) = 0.0004
The above probability is calculated by looking at the value of x = 3.33 in the z table which has an area of 0.9996.
Therefore, probability that sample mean lies between 79 and 81 is 0.9946 and it is 0.04% likely is it that the sample mean diameter exceeds 81 when n = 36.
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The cross-country team had a fundraiser selling wreaths for $25 each. They made $15 for each wreath they sold. If they sold 114 wreaths, (a) how much money did they pay to make each wreath, (b) how much money did they collect, and (c) how much money did they make? If they made $180, (d) how many wreaths did they sell?
Answer:
(a) They paid $25-$15=$<<25-15=10>>10 to make each wreath.
(b) They collected $15114=$<<15114=1710>>1710.
(c) They made $1710-$10114=$<<1710-10114=180>>180.
(d) They sold $180/$15=<<180/15=12>>12 wreaths.
Step-by-step explanation:
Sure, here is a breakdown of the solution:
(a) The cross-country team paid $10 to make each wreath because they sold the wreaths for $25 and made $15 for each wreath they sold, so the cost to make each wreath was $25-$15=$10.
(b) They collected $1710 because they sold 114 wreaths and made $15 for each wreath they sold, so they collected a total of $15*114=$1710.
(c) They made $180 because they collected $1710 and it cost them $10 to make each wreath, and they sold 114 wreaths, so the total cost of making all the wreaths was $10*114=$1140. They made $180 because they collected $1710 and it cost them $1140 to make all the wreaths, so their profit was $1710-$1140=$180.
(d) They sold 12 wreaths because they made $180 and it cost them $15 to make each wreath, so they sold $180/$15=12 wreaths.
select all that apply identify the steps involved in the six sigma approach. (check all that apply.)
the steps involved in the six sigma approach. -Define-Measure-Analyze-Improve-Control
-Define: Identify the problem and set objectives and goals
-Measure: Collect and analyze data related to the problem
-Analyze: Identify the root cause of the problem
-Improve: Develop and implement solutions to the problem
-Control: Monitor and maintain the improvements to ensure the problem does not recurrence are the steps involved in six sigma.
1. Define: Identify the problem, set objectives and goals, and develop a project plan.
2. Measure: Collect and analyze data related to the problem and determine the current process performance.
3. Analyze: Examine the data to identify the root cause of the problem.
4. Improve: Develop and implement solutions to improve the process.
5. Control: Monitor and maintain the improvements to ensure the problem does not recur.
6. Optimize: Continuously look for ways to make the process more efficient and effective.
the complete question is:
Select all that apply identify the steps involved in the six sigma approach. (check all that apply.)
-Define
-Measure
-Analyze
-Improve
-Control
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10:35 AM Sat Dec 10
Homework 6.2
:
ด
1.) Mr. Keith is paid semimonthly. His annual salary is $64,733. What is his semimonthly
salary rounded to the nearest cent?
3%
Sa
Mr. Keith's semimonthly salary is $16183.25.
What is rounded to the nearest cent?
If the number is five or higher and is to the right of the full cents, increase the cents by one. The cents should remain the same if the number is four or less.
For instance: $143.864. Consider the last digit, 4, since it is less than 5 and the cents should remain the same. Rounding up from $143.864 to $143.86.
Given that the annual salary of Mr. Keith is $64,733.
Semiannual means 4 times in yearly.
Thus divide whole salary by 4 to get semimonthly salary.
Therefore the semimonthly income is $64,733/4 = $16183.25 (rounded to the nearest cent)
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The following dot plot shows the number of songs on each album in Saiâs collection.
Each dot represents a different album. What is the total number of albums in Saiâs collection?
A. 10
B. 17
C. 7
Option B) 17
A simple kind of data visualization known as a "dot plot" involves the representation of data points as dots on a graph with x and y axes. Sai has 17 albums in his collection altogether.
Given data;
6 = 0; 7 = 1 ; 8 = 2; 9 = 2; 10 = 4; 11 = 1; 12 = 2; 13 = 2; 14 = 1; 15 = 0; 16 = 2
[tex]= 1+2+2+4+1+2+2+1+2[/tex]
[tex]=17[/tex]
The total number of albums in Sai collection is 17
A basic style of data visualization called a dot plot, often referred to as a strip plot or dot chart, shows data points as dots on a graph with x and y axes. The purpose of these graphs is to visually portray particular data patterns or groups.
Each dot in the provided dot plot represents an album. As a result, the total number of dots in the dot plot equals the total number of albums in Sai's collection.
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1. Copy and complete: To multiply two powers with the same base, ? their exponents.
2. Give an example of an expression you could simplify using the quotient of powers property.
Find the product or quotient. Write your answer using exponents.
3. 4².4⁹ 4. 5³.5⁸ 5. 6₇.6 6. 7³.7⁴.7²
(1) To multiply two powers with the same base, add their exponents.
(2) An example of an expression you could simplify using the quotient of powers property is xᵃ / xᵇ
(3) The answer of following exponents are 4¹¹ , 5¹¹ , 6⁸ and 7⁹
A number's exponent indicates how many times the number has been multiplied by itself.
In general, xⁿ denotes that x has been multiplied by itself n times.
According to the question,
(1) Assuming two exponent having same base be xᵃ and xᵇ
Multiplying both the number => xᵃ . xᵇ
To Multiplying two exponent having same base , we add the power
=> x⁽ᵃ ⁺ᵇ⁾
Hence , To multiply two powers with the same base, add their exponents
(2) Simplifying using the quotient of powers property
Let xᵃ / xᵇ
Dividing exponent with same base , we subtract the powers
=> xᵃ⁻ᵇ
Simplifying the followings
3. 4².4⁹
=> 4⁽²⁺⁹⁾
=> 4¹¹
4. 5³.5⁸
=> 5 ⁽³⁺⁸⁾
=> 5¹¹
5. 6⁷.6
=> 6⁸
6. 7³.7⁴.7²
=> 7⁽³⁺⁴⁺²⁾
=> 7⁹
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This graph shows Jesemy's distance from home each hour he is on a car trip. How many miles will he be from home after 10 hours?
500 miles
550 miles
400 miles
350 miles
From the graph that shows Jeremy's distance from home each hour , then he will be 500 miles from home after 10 hours .
In the question ,
a graph is given ,
we have to find the distance that Jeremy's car will travel after 10 hours.
from the graph we can see that the points in the graph form a straight line .
we can see that ,
in 1 hour Jeremy's car travels a distance of 50 miles .
So , in 10 hours Jeremy's car will travel = 10×50 miles .
= 500 miles .
So , Jeremy's car will be 500 miles away from home after 10 hours .
Therefore , the correct option is (a) 500 miles .
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Darren kept track of the number of e-mails he received from one of his customers each day for 14 days on the dot plot. A number line goes from 1 to 12. 1 dot is above 2. 2 dots are above 7. 3 dots are above 8. 1 dot is above 9. 3 dots are above 11. 4 dots are above 12. Which statement must be true according to the dot plot?
The customer sent Darren more than 12 e-mails over the 14-day period. The maximum number of emails represented in the dot plot is 12 + 4 = 16
The dot plot provides information about the number of emails he received from one customer over a 14-day period.
The number line goes from 1 to 12, but there are 4 dots above 12 which means that the customer sent him more than 12 emails over the 14-day period.
Therefore, the statement "The customer sent Darren more than 12 e-mails over the 14-day period" must be true according to the dot plot.The maximum number of emails represented in the dot plot is 12 + 4 = 16. Therefore, the customer sent Darren more than 12 emails over the 14-day period.
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I want to know some example of a continuous function which is continuous at exactly one point. We know that f(x)=1x is continuous everywhere except at x=0. But i think this in reverse manner but i dont get any example. So please help me out!
Examples of a continuous function that is continuous at exactly one point are x=0,1,2,3,4.
In mathematics, a continuous function is one where a continuous variation of the argument results in a continuous variation of the function's value (i.e., a change without a leap). This indicates that there aren't any discontinuities or sudden changes in value. More specifically, a function is continuous if it is possible to guarantee that its value will not vary significantly even with arbitrarily tiny changes to its parameter.
We know that the modulus function,
f(x)=∣x∣ is continuous but not differentiable at x=0.
So,
f(x)=∣x∣+∣x−1∣+∣x−2∣+∣x−3∣+∣x−4∣ is continuous but not differentiable at x=0,1,2,3,4.
Hence, this is the answer.
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HELP IM IN K12 PLEASE HELP
Step-by-step explanation:
p = a + 3
Three more a than p
A graphing calculator is recommended. Find the Taylor polynomial T3(x) for the function f centered at the number a. f(x) = e, a = 1 Graphſ and Tg on the same screen. y 3 2 -1 1 2 X -4 -3 -2 -1 -3 -2 - 1 1 2 6 -1 2 -3
Its Taylor polynomial T3(x) for function f with the number an as the center is T 3(x)=(x 2 + 61 x 2 ). 3
With an example, define a polynomial.Sums of terms with the pattern kxn—where k is any positive integer and n is an arbitrary number—are known as polynomials. A polynomial is something like 3x+2x-5. Polynomials: An introduction In this video, basic terms such terms, degrees, standard form, monomial, binomial, and trinomial are covered. A polynomial is a function that exclusively uses positive integer exponents or non-negative integer powers of a variable in an equation, such as a quadratic or cubic equation. A polynomial with an exponent of 1 is, for instance, 2x+5.
T 3 (x)=f(a) + 1!f ′ (a)(xa) + 2!f ′′(a)(xa) 2 plus 1 3!f ′′′(a)(x−a) 3=0plus 1!−1(x− 2π)+ 2!0(x− 2π) 2 plus 1 3!1 (x− 2π) 3=−(x− 2π)+ 61\s(x− 2π) 3
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Given P(A) = 0.6, P(B) = 0.79 and
P(A and B) = 0.544, find the value of P(B|A),
rounding to the nearest thousandth, if necessary.
[tex]P(B|A) = \frac{P(AandB)}{P(A)}[/tex]
Answer:
0.3324
Step-by-step explanation:
If the probability that a person will die in the next year is 452/100000
probability that the person will not die in the next year?
OA. 99%
B. 99548
C. 0.00452
OD. 0.99548
452
100,000
what is the
SUBMIT
Answer:
0.99548
Step-by-step explanation:
P(not die)=100000-452/100000
TRUE OR FALSE the difference between timing diagrams and state diagrams is that timing diagrams show changes along the flow of time, whereas state diagrams show changes based on triggers received from other objects in or outside the system.
Therefore, the answer to this problem is that the statement is true.
What is state diagram?A state diagram is a particular kind of diagram used in computer science and related subjects to represent system behavior. A system must have a finite number of states in order to be represented by a state diagram; sometimes this is the case, and other times it is a valid abstraction.
Here,
Since,
Timing diagrams depict changes during the passage of time, whereas state diagrams depict changes as a result of triggers from other system objects or from external sources.
So ,the above statement is true
Therefore the answer to this problem is that the statement is true.
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a church window is bounded above by a parabola and below by the arc of a circle (see figure). find the surface area of the window. (round your answer to three decimal places.)
The surface area of a church window bounded above by a parabola and below by the arc of a circle is 2.750x^2, rounded to three decimal places.
Let x be the length of the window. The radius of the arc of a circle is x/2.
Surface area = [Area of parabola] + [Area of arc of a circle]
= (1/2)x^2 + (π/2)*(x/2)^2
= (1/2)x^2 + (π/4)x^2
= (π/4 + 1/2)x^2
= (1 + π/4)x^2
= 2.75x^2
Answer: 2.750
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PLEASE HELP the question is in the picture
The required expression that can be simplified without the conversion of terms is 9.32 × 10 ⁻⁵ + 1.078 × 10⁻⁵. Option A is correct.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
In order to do, no needs to convert terms, so then expression with the same exponent of 10 is the required expression.
So,
= 9.32 × 10 ⁻⁵ + 1.078 × 10⁻⁵
= 10.00 × 10⁻⁵
= 10⁻⁴
Thus, the required expression that can be simplified without the conversion of terms is 9.32 × 10 ⁻⁵ + 1.078 × 10⁻⁵. Option A is correct.
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Answer:
9.32 × 10 ⁻⁵ + 1.078 × 10⁻⁵
Step-by-step explanation:
As part of a study on the selection of grand juries in Alameda county, an educational level of grand jurors was compared with the county distribution:
Educational Level County # of Jurors
Elementary 28.4% 1
Seconday 48.5% 10
Some College 11.9% 16
College Degree 11.2% 35
Total 100% 62
Could a simple random sample of 62 people from the county show a distribution of educational level so different from the county-wide one? Chose one option and explain.
1) this is absolutley possible
2)this is possible, but fantastically unlikely
3)this is possible but unlikely-the chance is around 10% or so
4)this is nearly certain
This is possible but fantastically unlikely. A simple random sample of 62 people from the county would be unlikely to produce a distribution of educational levels so different from the county-wide one. The chances of this happening are extremely small.
A simple random sample is a sample drawn from a population in such a way that each member of the population has an equal chance of being selected. In this case, the population is the county, and the sample is the group of 62 grand jurors. When a simple random sample is drawn, it is possible for the sample to be different from the population in various ways.
For example, the sample may have a different distribution of educational levels than the population. However, the larger the sample size is, the more likely it is that the sample will be representative of the population. In this case, the sample size of 62 is relatively small, so it is possible that the sample will be different from the population in terms of educational level. However, the chance of this happening is not very high, since the sample size is not very large.
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Determine which of these are linear homogeneous recurrence relations with constant coefficients. Also, find the degree of those that are:
a) an = 3an-1 + 4an-2 +5an-3
b) an = 2nan-1 + an-2
c) an = an-1 + an-4
A linear recurrence relation is homogeneous if f(n) = 0. The order of the recurrence relation is determined by k. We say a recurrence relation is of order k if an = f(an−1,...,an−k).
Given: a) an = 3an-1 + 4an-2 +5an-3
We note that the given recurrence relation is linear, because the right-hand side is a linear combination of previous terms. We note that the given recurrence relation is homogeneous, because the recurrence relation does not contain any constant terms. The degree of the recurrence relation is the largest value k for which are occurs in the recurrence relation.
k=3
Given: b) an = 2nan-1 + an-2
We note that the given recurrence relation is not linear, because the right-hand side is not a linear combination of previous terms (due to the
fact that 2n is not a constant). We note that the given recurrence relation is homogeneous, because the recurrence relation does not contain any constant terms.
Given: c) an = an-1 + an-4
Because the right-hand side is a linear combination of the prior terms, we observe that the provided recurrence relation is linear. Given that there are no constant terms in the recurrence relation, it is important to observe that it is homogenous. The biggest value k for which are k appears in the recurrence relation is the recurrence relation's degree.
Degree of linear homogeneous recurrence are k=3 .
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