Answer: 32% probability of going to the beach given the information provided in the weather forecast.
Step-by-step explanation:
The probability of going to the beach is equal to the probability of it not raining times the probability of going to the beach if it does not rain. Therefore, the probability of going to the beach is equal to (1 - 0.6) * 0.8 = 0.4 * 0.8 = 0.32.
A group of ten friends played a number guessing game. They were asked to pick a number
between 1 and 20. The person closest to the target number wins. The ten people made these
guesses:
The table with the absolute guessing errors should be completed as follows;
Guess 2 15 10 8 12 19 20 5 7 9
Absolute guessing error 12 1 4 6 2 5 6 9 7 5
A graph of the guess and absolute guessing error is shown in the image attached below.
Yes, the absolute guessing error is a function of the guess because every guess (input value) has one absolute guessing error (output value).
What is the margin of error?In Mathematics, the margin of error (MOE) is sometimes referred to as an absolute guessing error and it can be defined as a measure of the difference that exist between an observed value and a true value of the population parameter.
Mathematically, the absolute guessing error for the guesses made by these group of ten friends with respect to the actual number of 14 as follows;
Absolute guessing error = 14 - 2 = 12
Absolute guessing error = 14 - 15 = 1
Absolute guessing error = 14 - 10 = 4
Absolute guessing error = 14 - 8 = 6
Absolute guessing error = 14 - 12 = 2
Absolute guessing error = 14 - 19 = 5
Absolute guessing error = 14 - 20 = 6
Absolute guessing error = 14 - 5 = 9
Absolute guessing error = 14 - 7 = 7
Absolute guessing error = 14 - 9 = 5
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demonstrate how you would employ fourier analysis to determine the frequencies of any other particular chords at varying volumes of your own choosing
The use of Fourier analysis in the chords of varying volumes is explained below .
What is Fourier Series ?
The Fourier Series can be defined as a expansion of a periodic function f(x) in terms of infinite sum of sine and cosine .
The Fourier Series make use of orthogonality relationship of sine and cosine function.
The process in which the Fourier Series analysis helps in determine the frequencies of any other particular chords at varying volumes is :
the Fourier series convert the time-domain input signal into a frequency-domain representation which is analyzed for the intensities of specific pitches.
and the relationship between the pitches at a particular given time is then analyzed to find the chord that is being played.
Therefore , the process of Fourier series in music is explained above .
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Can anyone help me graph this out. its the last question for my homework and im stuck on it
The required graph of the given function has been shown.
Given that,
To draw the graph of the composite function,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
Illustrating the function on the graph for the respective domain
f(x) = 0 for x ≤ -1
f(x) = -x -1 for -1 < x ≤ 2
f(x) = -1 for x > 2
Thus, the required graph of the given function has been shown.
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Compare the graph to the graph of f(x) = | x |. Describe the shift of g(x).
g(x) = |x+4| - 2
g(x) is shifted 4 units left and -8 units down from f(x).
How would you define a graph's shift?Shifts. A shift is similar to a stiff translation in that it does not alter the size or shape of the function's graph. The graph's placement will only change as a result of a shift. A vertical shift maintains the x-coordinate while adding or subtracting a constant from each y-coordinate.In other words, we multiply the y-coordinate of each point on the graph of f by 2 to generate the graph of g. Geometrically, a point is moved 2 units above its former location by adding 2 to its y-coordinate. It is common to refer to "moving the graph up 2 units" when adding 2 to all of the y-coordinates on a graph at once.when y=f(x)
When y = f (x + a), the function is either shifted to the right by a units (a 0) or to the left by a units (a > 0).
g(x)=(x+4)-2⇒f(x−8)
This causes f (x) to be moved by 8 units to the right.
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On January 1, Year 1, the Platte Corporation issues a 5-year note payable for $5,000. The interest rate is 5% and the annual payment of $1,156, due each December 31, includes both interest and principal. Which of the following correctly shows the effect of the issuance of the note on Platte's financial statements?
The correct effect of the note issuance on Platte's financial statements is A. Cash and Notes Payable increased by $5,000 on the balance sheet and an increase in Financing Activity on the Cash Flows Statement.
What is the journal entry to record the issuance?The journal entry to record the issuance of the 5-year note payable for $5,000 by Platte Corporation on January 1, Year 1 includes:
Debit to Cash
Credit to Notes Payable.
This entry increases the Cash account, an asset that appears on the balance sheet.
It also increases the Notes Payable, a liability on the balance sheet.
On the Cash Flow Statement, the issuance is a financing activity as cash inflow is increased by the amount.
January 1, Year 1:
Note payable = $5,000
Note period = 5 years
Interest rate = 5%
Annual payment = $1,156
Thus, the note issuance does not affect the Income Statement and will not have an effect on the Equity, but Option A is correct.
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Question Completion:Answer Options are attached.
Which statement is not correct?
A. Spurious correlation can often be reduced by expressing X and Y in per capita terms.
B. Autocorrelation is mainly a concern if we are using time - series data.
C. Heteroscedastic residuals will have roughly the same variance for any value of X.
D. Standardized residuals make it easy to identify outliers or instances of poor fit.
Heteroscedastic residuals will have roughly the same variance for any value of X. Hence:
The correct option is C.
Hetero means that they are different/vary. Homoscedastic would mean that they do not change as the value of x changes.
When the variance of the residuals is uneven throughout a range of measured values, this is referred to as heteroskedasticity. The analysis results may be flawed if heteroskedasticity is present and the population employed in the regression has unequal variance.
One presumption regarding the residuals/errors in OLS regression is that they have the same, but unmeasured, variance. The term "constant variance" or "homoscedasticity" refers to this. Heteroscedasticity is the issue when this presumption is broken.
Hence we get the required answer.
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Select numbers
to create a different
expression that is equal to 8 x7
Answer:
8 x 7 is the same as 7 x 8.
An expression that is equal to 8 x 7 would also be an expression that has the same solution.
7 x 8 = 56
4 x 14 = 56
2 x 28 = 56
1 x 56 = 56
The expression could also have division instead of multiplcation, for example, 7 x 8 = 56 could also be written as 56 ÷ 8 = 7, or 56 ÷ 7 = 8
I hope this helps :)
use the given coordinates to determine whether $\triangle abc\cong\triangle def$ .$a(-2,-2),\ b(4,-2),\ c(4,\ 6),\ d(5,\ 7),\ e(5,\ 1),\ f(13,\ 1)$the triangles congruent.
The ΔABC and ΔDEF are congruent by SSS congruent criteria
According to the question,
We have to prove ΔABC and ΔDEF are congruent
Coordinates of ΔABC are given as :
A(-2 , -2) , B(4 , -2) and C(4,6)
By using Distance formula ,
AB = √(-2-(-2))²+ (4 - (-2))²
=> √(-2 + 2)² + (4 +2)²
=> √ 6²
=> 6
AC = √(6-(-2))²+ (4 - (-2))²
=> √(6 + 2)² + (4 +2)²
=> √ 56 + 36
=> √92
BC = √(6-(-2))²+ (4 - 4)²
=> √(6+ 2)²
=> √ 8²
=> 8
Coordinates for ΔDEF,
D(5 , 7) , E(5,1) and F(13 , 1)
By using Distance formula ,
DE = √(1 - 7)²+ (5 -5)²
=> √(-6)²
=> √36
=> 6
DF = √(1-7)²+ (13 - 5)²
=> √(-6)² + (8)²
=> √ 56 + 36
=> √92
EF= √(1 - 1)²+ (13 - 5)²
=> √ 8²
=> 8
Now, two triangles are congruent if they are equal sides or equal angles
Therefore , In ΔABC and ΔDEF
AB = DE
AC = DF
BC =EF
By the SSS criteria , ΔABC and ΔDEF are congruent
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A 95% confidence interval for μ is computed to be (1.95, 4.20). For each of the following hypotheses, state whether H0 will be rejected at the 0.05 level.H0: μ = 4 versus H1: μ =/ 4H0: μ = 1 versus H1: μ =/ 1H0: μ = 1.7 versus H1: μ =/ 1.7H0: μ = 2.9 versus H1: μ =/ 2.9
In hypothesis testing, the null and alternative hypotheses for each of the given situations are as follows:
H0: μ = 4 versus H1: μ =/ 4H0: μ = 1 versus H1: μ =/ 1H0: μ = 1.7 versus H1: μ =/ 1.7H0: μ = 2.9 versus H1: μ =/ 2.9Based on this information, we can make the following conclusions:
For H0: μ = 4, we cannot reject H0 at the 0.05 level because 4 falls within the confidence interval (1.95, 4.20).For H0: μ = 1, we can reject H0 at the 0.05 level because 1 falls outside of the confidence interval (1.95, 4.20).For H0: μ = 1.7, we can reject H0 at the 0.05 level because 1.7 falls outside of the confidence interval (1.95, 4.20).For H0: μ = 2.9, we cannot reject H0 at the 0.05 level because 2.9 falls within the confidence interval (1.95, 4.20).Learn More about Confidence Intervals here:
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Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
$9.86, Kendra donates to the charity.
Kendra worked 8 hours and 30 minutes last week
She earns $ 11.60 per hour
She will earn money if she works for 30 minutes = $(11.60/2)
Therefore,
Total amount of money she earns last week = $((11.60×8) + (11.60÷2))
= $(92.8+5.80)
= $98.6
Kendra donates 1/10th of the total money she earns in a week
Therefore,
Amount she donate last week = total amount she earns last week * 1/10
= $(98.6× (1÷10))
=$9.86
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The Washington Wheat Farmers Club is studying the impact of rising grain prices on their members' planting habits. The club members produce an average of 150 million bushels of wheat per year, with a standard deviation of 18 million bushels. The club takes a random sample of 35 years to create a statistical study. Identify each of the following, rounding to the nearest hundredth when necessary:
Provide your answer below: u= million bushels
a= million bushels n= 0 - million bushels
0 = LA million bushels
Sampling distribution of mean, Sampling distribution of proportion and T-distribution.
How does sampling distribution work?An example of a sampling distribution is a probability distribution of a statistic that is derived by repeated sampling of a particular population. It describes a variety of potential possibilities for a statistic, such the mean or mode of some variable in a population.
Give an example of sampling distribution.When you repeat your survey or poll for all potential samples of the population, you get the sampling distribution of a proportion. For instance, you may conduct many polls rather than asking 1000 cat owners which cat food they prefer.
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Answer:
μ = 150
σ = 18
n = 35
μx¯ = 150
σx¯ = 3.04
Step-by-step explanation:
We are given population mean μ=150 and population standard deviation σ=18, and want to find the mean and standard error of the sampling distribution, μx¯ and σx¯ for samples of size n=36.
By the Central Limit Theorem, the means of the two distributions are the same:
μx¯=μ=150
To find the Standard Deviation of the sampling distribution, we divide the population standard deviation by the square root of the sample size:
σx¯=σn−−√=1835−−√≈3.04
Sofia and her children went into a grocery store that sells bananas for $0.80 each and mangos for $2 each. Sofia has $20 to spend and must buy a minimum of 12 bananas and mangos altogether. If xx represents the number of bananas purchased and yy represents the number of mangos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Using graphical method to solve the system of inequality, the number of banana is 2 and mango is 10
System of Linear InequalityA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
In this question, we can set the unknown variables as;
x = Number of bananay = Number of Mango0.2x + 2y = 20 ...eq(i)
x + y ≥ 12 ..eq(i)
Solving x and y
This can be done graphically;
The number of banana and mango is approximately 2 and 10 respectively
Kindly find the attached graph below
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Four transformations of the function f(x) = 4x + 5 are given below.
For each transformation, drag the expression that shows the result of that transformation into the box under it.
The results of the transformation for f(x+3), f(x)+3, 3f(x) and f(3x) are 4(x + 3)+ 5, 4x + 3 + 5, 3 (4x + 5) and 4(3x) + 5 respectively
How to determine the expression that shows the result of the transformation?A geometric transformation is a function that maps points in a plane or space to other points in the same plane or space. Geometric transformations can be used to change the size, shape, orientation, or position of an object or image.
Given: f(x) = 4x + 5
f(x+3) = f(x+3) = 4(x + 3)+ 5
f(x) + 3 = 4x+5 + 3 = 4x + 3 + 5
3 f(x) = 3 (4x + 5)
f(3x) = 4(3x) + 5
Therefore, drag the results into the box accordingly
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-3(16x - 8)+3=123
solve for x
write the following python function: asquare(k) takes k as a parameter and returns a list containing squares of first k integers. asquare(5) will return the list [1, 4, 9, 16, 25] print that list
The python function is, [1, 4, 9, 16, 25] [1, 4].
What is square of a number?
It is easy to determine a number's square. To determine the given number's square, we must multiply it by itself. A number raised to the power of 2 is always used to represent the square term.
For instance, the square of 6 is equal to 6 times 6, or 6 x 6 = 6^2 = 36.
A "Square Number" is the product of multiplying an integer or number (not a fraction) by itself.
For instance, 3 x 3 = 3^2, or 3 multiplied by 3 equals 3 squared. In essence, a square number is the result of multiplying an integer or number by itself exponentially.
Hence, the python function is, [1, 4, 9, 16, 25] [1, 4].
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In a class of students, the following data table
summarizes how many
students have a brother or a sister. What is the probability that a student
chosen randomly from the class has a sister?
Has: brother Does not have a brother
Has a sister
6
12
Does not have a sister
3
The probability that a student chosen randomly from the class has a sister is 3/5.
What is the probability of an event?The probability of an event is the fraction of the number of favorable occurrences of an event to the total occurrences of the event.
P(a) = n(a)/n(s)
where 'a' is an event.
Calculation:The given data table shows how many students have a brother or a sister in a class of students.
The number of students who have both a sister and a brother = 6
The number of students who have only a brother and do not have a sister = 3
The number of students who have only a sister and do not have a brother = 12
The number of students who do not have both a sister and a brother = 9
So, the total number of students in the class = 6 + 3 + 12 + 9 = 30
Then, the probability that a student chosen randomly from te class has a sister is
= (number of students who have a sister)/total number of students
= (6 + 12)/30
= 18/30
= 3/5
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What is the AREA of this composite figure?
A. 134 square units
B. 72 square units
C. 234 square units
D. 102 square units
E. 132 square units
Answer:
102
Step-by-step explanation:
As we know that the area of triangle is 1/2 × base × height so A.TQ
1) finding the triangle area = 1/2 × base × height
= 6 × 5.
= 30
2) finding the area of rectangle = l×b
= 12 × 6
= 72
Now to find total area is 72 + 30 which will be 102
so the answer is = 102
you are examining the data with a stem-and-leaf plot. here is the start of the plot. finish the plot. 3
you are examining the data with a stem-and-leaf plot. here is the start of the plot. finish the plot. 3|6
3| 0 2 4 5 6 8 9
A stem-and-leaf plot is a type of data display that shows the frequency of data items in a set. The plot consists of two columns, a stem column and a leaf column. The stem column contains the leading digit or digits of each data item, and the leaf column contains the remaining digits.
In this case, the stem is 3 and the leaf column is 6. To finish the plot, we need to add other data items to the leaf column which have the same stem (3). So, the completed plot would look like this:
3| 0 2 4 5 6 8 9
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What term is used to name a change in the physical properties of a substance which is usually reversible?
Physical changes are those that occur when a substance's physical properties, such as appearance, texture, color, etc.
Given that,
We have to find what term is used to name a change in the physical properties of a substance which is usually reversible.
We know that,
When only the physical characteristics of a material—such as its size, shape, color, condition, or appearance—alter, this is referred to as a physical change in the substance. Its chemical makeup is unaltered. a few instances of physical change water and sugar being dissolved. wax melting.
Physical changes are those that occur when a substance's physical characteristics, such as appearance, texture, color, odor, melting and boiling temperatures, density, solubility, polarity, etc., change.
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Variability of a statistic from sample to sample due to chance. Same thing as "variability due to chance." Error refers to how samples vary from one to another. Good sampling techniques control for this.
Random error is the variation in a statistic from sample to sample due to chance. It is the difference between a sample statistic and the true population parameter that it is estimating.
Good sampling techniques help to reduce the amount of random error in a sample by reducing the variability of the sample results.
Random error is the variability of a statistic from sample to sample due to chance. It occurs when a statistic from a sample does not accurately reflect the true population parameter it is attempting to estimate. Random error can be minimized through the use of good sampling techniques, such as randomization and stratification, as these help to reduce the variability of results from sample to sample. Good sampling techniques also help to ensure that the sample is representative of the population, thus reducing the amount of random error.
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factor this expression 9x^2 - 18x
factor this expression 4x^2 - 9
Answer:
9 x (x - 2) and (2 x - 3) (2 x + 3)
Step-by-step explanation:
Factor the following:
9 x^2 - 18 x
Factor 9 x out of 9 x^2 - 18 x:
Answer: 9 x (x - 2)
Factor the following:
4 x^2 - 9
4 x^2 - 9 = (2 x)^2 - 3^2:
(2 x)^2 - 3^2
Factor the difference of two squares. (2 x)^2 - 3^2 = (2 x - 3) (2 x + 3):
Answer: (2 x - 3) (2 x + 3)
if 3x โ 7 < 29, then which of the following must be true?; if x, y, and z are whole numbers greater than 2, and if xyz2 = 735, what is the value of x + y + z ?
The value of x + y +z is 15.
A whole number is what?
a variety of numbers that contains both zero and the natural number.
Fractions and decimals are excluded.
Real numbers that are not divisible by two are referred to be odd numbers.
X, Y, and Z are all full numbers in the equation.
x, y, and z all have values larger than 2.
xyz² = 735
A value for x + y + z must be found.
Assuming x = 3, the preceding statement results in y = 5 and z = 7
These are odd numbers with a difference of 2 and are greater than 2.
They must satisfy the condition that xyz2 = 735.
= 3 * 5 * 7²
= 735
These are the variables' values and as a result,
The sum of x, y, and z equals.
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lian wants to advertise how many chocolate chips are in each big chip cookie at her bakery. she randomly selects a sample of 46 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 7.4 and a standard deviation of 2.7. what is the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies? assume the data is from a normally distributed population. round answers to 3 decimal places where possible.
The big chip cookie's 95% confidence interval for the amount of chocolate chips per cookie is [8.325,6.474].
Given that,
The quantity of chocolate chips in each big chip cookie at Lian's bakery is something she wants to promote. She chooses a sample of 46 cookies at random and discovers that the average amount of chocolate chips per cookie has a standard deviation of 2.7 and a mean of 7.4.
We have to find what is the big chip cookie's 95% confidence interval for the amount of chocolate chips per cookie.
We know that,
The formula is
=x±Z(S/√n)
=7.4±2.326(2.7/√46)
=8.325 and 6.474
Therefore, the big chip cookie's 95% confidence interval for the amount of chocolate chips per cookie is [8.325,6.474].
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Suppose a bag of colored marbles contains 33 marbles numbered 1 to 33. If you draw one marble at a time from the bag, without replacement, how many different ways can you draw all of the marbles from the bag? Remember that "without replacement" means that the marbles are not returned to the bag after they are chosen. Write your answer in factorial notation.
The ways you can draw all of the marbles from the bag is 33! ways
How to determine the ways you can draw all of the marbles from the bag?From the question, we have the following parameters that can be used in our computation:
Total number of marbles, n = 33
Total numbers of marbles picked at a time, r = 1
From the question, the marbles are selected without replacement
This means that the number of ways the marbles can be drawn from the bag is calculated using the following factorial formula
Total = n!
Where
n = 33
Substitute the known values in the above equation
Total = 33!
Apply the factorial formula
n! = n * (n - 1) * (n - 2) * .... * 1
So, we have
Total = 33 * 32 * 31 * 30 * .... * 1
Evaluate
Total = 8.6833176e+36
Hence, the number of ways is 33!
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Which set of points includes all of the solutions for y = negative four fifths times x plus two?line going through 0 comma 2 and 5 comma negative 2 a (15, 10), (0, 2), and (−10, 10) b (−10, 10), (−5, 6), (0, 2), (5, −2), (10, −6) c (x, y) for all real numbers d (x, negative four fifths times x plus two) for all real numbers
The set of points includes all of the solutions is (x, - 4/5 x + 2).
What is the solution of an equation?
An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Given equation is
y = - 4/5 x + 2
The value of x can be any real number.
The value of y is - 4/5 x + 2.
The solution of the equation is (x, - 4/5 x + 2).
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The members of a sewing circle are making blankets to give to shelters. This week, they made 49 twin-size blankets and 49 queen-size blankets, using a total of 441 yards of fabric. Last week, the members completed 21 twin-size blankets and 48 queen-size blankets, which required 405 total yards of fabric. How much fabric is used for the different sizes of blankets?
8 twin-size blanket , y = 1 queen-size blankets will be the fabric used
According to the given information
let
x = number of yards of fabric required to make a twin-size blanket.
y = the number of yards of fabric required to make a queen-size blanket
This week, they used 441 yards of cloth to create 49 twin-size blankets and 49 queen-size blankets:
49x + 49y = 441
The group members finished 21 queen-size blankets and 48 twin-size blankets last week, using 405 yards of cloth altogether:
48x + 21y = 405
Solving the two equations
1029x + 1029y = 9261
2352x + 1029y = 19845
hence
Solving the above two equations
We get
1323x = 10584
x = 8
Putting the value of x in above one equation
y = 1
8 twin-size blanket , y = 1 queen-size blankets will be the fabric used
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What is the value of x?
I need help with this please
Answer:
71
Step-by-step explanation:
the triangle is isosceles, meaning that two sides are the same. That means the two bottom angles are also going to be the same. The sum of all angles on a triangle is 180, so subtract 38 from that and get 142. Since there are two other angles, divide 142 by two to get 71. Hope this helps!
Use the distributive property to write an equivalent expression.
4 (w - 2r + 4)
The distributive equivalent expression of 4(w -2r + 4) is 4w -4(2r) + 4(4)
How to write the Distributive law?distributive law, also called distributive property, in mathematics, the law relating the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.
a(b + c) = ab + ac
using the above distributive law and comparing the expression below
4 (w - 2r + 4)
we can write it as 4w -4(2r) + 4(4)
In conclusion the equivalent expression is 4w -4(2r) + 4(4)
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help meeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
Let U be a Universal set with subsets A and B. U={1,2,3,4,5,6,7,8,9,10} A={1,3,5,7} B={4,5,6} Find A′. Use set roster notation. If there is more than one element in the set, list in ascending order, separated by a comma.
The complement of set A is-
A' = {2, 4, 5, 6, 7, 8, 9, 10}
What is a set? What is union of sets? What is complement of a set?A set is a collection of elements or numbers or objects, represented within the curly brackets { }. For example: {1,2,3,4} is a set of numbers.The union of two sets is a set containing all elements that are in A or in B (possibly both). For example, {1,2} ∪ {2,3} = {1,2,3}.The complement of a set is the set that includes all the elements of the universal set that are not present in the given set.We have -
U={1,2,3,4,5,6,7,8,9,10} A={1,3,5,7} B={4,5,6}A' = U - A
A' = {1,2,3,4,5,6,7,8,9,10} - {1,3,5,7}
A' = {2, 4, 5, 6, 7, 8, 9, 10}
Therefor, the complement of set A is -
A' = {2, 4, 5, 6, 7, 8, 9, 10}
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