Please help!!! It would be much appreciated

The union of two sets is to avoid counting the same elements twice.

The mathematical logic subfield of set theory investigates sets, which can be loosely defined as collections of objects. Although any object can be combined into a set, set theory, as a mathematical discipline, focuses primarily on those that are relevant to mathematics as a whole.

Given union of set

(A ∪ B),

The set of all objects that are members of either A or B, or both, is the union of the sets A ∪ B.

let us take example,

A = { 1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

(A ∪ B) = { 1, 2, 3, 4} ∪  {3, 4, 5, 6, 7}

we can simply write all of A and B's elements in a single set to avoid duplicates to find A U B.

(A ∪ B) = {1, 2, 3, 4, 5, 6, 7}

Hence the  union of two sets is a set that contains all the elements of both set and avoid duplicates.

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The monthly payment for a $5000 loan at a 5.25% rate is 97.25. Then the correct option is B.

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

The loan amount is $5000 with a rate of 6.25% over 60 months.

Then the monthly payment (MP) will be

\(r = \dfrac{0.0625}{12} = 0.0052\)

Then the formula will be

\(\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\\)

P = $5000

r = 0.0052

n = 60

Then we have

\(\rm MP = P \times \dfrac{0.005208(1+0.005208)^{60}}{(1+0.005208)^{60} - 1}\\\\MP = 97.245 \approx 97.25\)

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The correct statements are:

b. The population variances for each of the cells should be equal (i.e., there is homogeneity of variance).

c. The populations from which the samples are taken for a two-way ANOVA must be distributed normally.

In a two-way ANOVA, there are several assumptions that need to be met for valid statistical inference. Two of these assumptions are the equality of population variances and the normal distribution of populations.

b. The assumption of homogeneity of variance states that the population variances for each combination of levels of the two factors in a two-way ANOVA should be equal. Violation of this assumption can lead to biased results and affect the validity of the statistical test.

c. The assumption of normality states that the populations from which the samples are taken should follow a normal distribution. This assumption is important because the validity of the F-test used in ANOVA is based on the assumption of normality. Departures from normality can impact the accuracy and reliability of the results.

a. The statement in option (a) is not true. The two-way ANOVA is not robust to violations of the assumptions of sampling from normal distributions and homogeneity of variance, even if the samples are of equal size. Violations of these assumptions can lead to inaccurate and unreliable results.

d. The statement in option (d) is also not true. If the assumptions of a two-way ANOVA are violated, it does not necessarily mean that the researcher should conduct two separate one-way ANOVAs. There are alternative non-parametric tests or robust ANOVA methods that can be used in such cases. The choice of appropriate statistical analysis depends on the nature of the data and the specific research question.

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Answer: = 56

Step-by-step explanation:

We can be 99.7% confident that the true proportion of individuals with schizophrenia in the population lies between 0.44 and 0.62.

In our schizophrenia model, the rough 99.7% certainty stretch can be determined utilizing the point gauge and standard blunder of the extent. With a point gauge of 0.53 and a standard blunder of 0.03, we can involve the equation for a certainty stretch, which is point gauge ± z* (standard mistake), where z* is the z-score related with the ideal certainty level.

For a 99.7% certainty stretch, the z-score is roughly 3. Consequently, the certainty span would be:

0.53 ± 3(0.03) = (0.44, 0.62)

This implies that we can be 99.7% certain that the genuine extent of people with schizophrenia in the populace lies somewhere in the range of 0.44 and 0.62.

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Answer:

B

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Consider the points (0, 0 ) and (2, 100 )

slope = \(\frac{rise}{run}\) = \(\frac{100}{2}\) = 50

Then

y = 50x

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

The equation for the line passing through P and parallel to line m is y - 4 = 0.

An equation is a mathematical statement that expresses the equality of two expressions, usually involving unknowns or variables. An equation typically uses an equals sign ("=") to denote the relationship between two expressions. Equations are used to solve problems in many areas of mathematics, including algebra, calculus, and geometry.

The equation for the line passing through P and parallel to line m is y - 4 = 0 (m), where m is the slope of line m. This equation is in slope-intercept form and can be used to represent the line passing through P and parallel to line m.

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Therefore, there are 8^13 ways for Felicity to make her candy bar selection at the grocery store.

To calculate the number of ways Felicity can make her selection, we need to consider that she can choose from the available varieties of candy bars. Since there are 8 varieties in total, she has 8 options for the first candy bar. Similarly, for the second candy bar, she still has 8 options since she can choose from the same varieties again. This process continues for all 13 candy bars.

To find the total number of ways, we multiply the number of options for each candy bar together. Since each candy bar is chosen independently, the total number of ways Felicity can make her selection is calculated as 8 multiplied by itself 13 times (8^13). This yields a large number of possible combinations, representing the various ways she can choose candy bars from the available varieties.

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Answer:

He used to have 7 books

7times 3 equals 21

Wild you either follow me or thank me

If you do I appreciate it

Step-by-step explanation:

Answer:

I believe its A. 7/16 inches per hour

Step-by-step explanation:

This is wrong don't put this

The rate of change (slopes) and initial value (y-intercepts) are as follows:

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):

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The correct value of the inequality as solves is x > 14 , and the error made by the student was that he directly divided the RHS by 7.

To simplify the equation we will multiply 7 on both the sides.

Then we will get the result as 7x > 98

Thus, we can say that the new inequality will be x > 14 ,

Hence , the mistake made by the student was that he didn't divided both the sides by 7 but only one side.

So a result, he obtained the incorrect result x>2.

Inequality is a concept in mathematics and uses symbols such as > , < , <= , >= etc.

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So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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Answer:

There can be alot of equations for this since you didn't say anything specific. But since u didnt say anything specific, this can be one of the equations: 20 + 8, 30 - 2, 4 x 7

Answer:

Distributive property

Step-by-step explanation:

It is very helpful with equations and polinomials

Answer:

x = ±3 sqrt(2)

Step-by-step explanation:

x^2 = 18

Take the square root of each side

sqrt(x^2) = sqrt(18)

x = ± sqrt(18)

x =±sqrt(9*2)

x = ±sqrt(9) sqrt(2)

x = ±3 sqrt(2)

1, 3, 5

The reasonable domain has a minimum value.

The reasonable range has a minimum value of 30,000.

The reasonable range has an implied, but unknown, maximum value.

Step-by-step explanation:

1. Years cannot be anything below 0.

2. The domain includes 0 because the answer can be the initial value.

3. 30,000 is the initial value and is the minimum solution.

4. The range has a minimal of 30,000.

5. Logically, we know city populations cant be numbers like a billion but we prove that mathematically.

Answer:

1. The reasonable domain has a minimum value.

3.The reasonable range has a minimum value of 30,000.

5.The reasonable range has an implied, but unknown, maximum value.

Step-by-step explanation:

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

The total balance of Greg account after he makes the monthly payment for July is $864.99.

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

It can be calculated with the following formula.

\(M=P\left(1-\dfrac{r}{1-(1+r)^{-nt}}\right)\)

Here, (P) is the principal amount, (r) is the interest rate and (t) is time.

Greg has a credit card which requires a minimum monthly payment of 2.06% of the total balance.

His card has an apr of 11.45%, compounded monthly. At the beginning of May, Greg had a balance of $318.97 on his credit card.

In the Month of May he make payment of 46.96, 33.51, and 26.99. Greg had a balance of $318.97 on his credit card. The total balance after the end of may is,

\(P=46.96+33.51+26.99+318.97\\P=426.43\)

The financial charge on this payment with Apr 11.45% is 4.07. Thus, the payment become 430.5.

The payment for the June 97.24, 112.57,72.45. The payment at the end of June is 719.56 and financial charge is 10.22.

The payment become 722.98. The payment for the June 41.14, 101.84. At the end of July 865.96.

The total balance of Greg account after he makes the monthly payment for July is $864.99.

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The amount of extra money that you need to raise is: $50

The revenue function, R(x), is the total revenue realized from the sale of x units of the product. The profit function, P(x), is the total profit realized from the manufacturing and sale of the x units of product.

Thus:

Cost = 3 * 75 = $225

Revenue = 175 + 2x

where x is the numbers of tickets sold for $2.

Thus:

Profit = R - C

175 + 2x - 225 = 0

2x = 225 - 175

2x = 50

x = 25

Money needed to break even: 2 * 25 = $50.00

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Complete question is:

You want to hire a live band for a school dance. You have $175 in your budget. The live band charges $75 per hour and each student pays $2 admission. If the band is to play for 3 hours, how much extra money do you need to raise?

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Answer:

1/2

Step-by-step explanation:

you can find the ratio by doing 12 / 6 and you will get 2 then you dump a 1 over the 2 to get 1/2 that's not how it works in all tho

Answer:

1:1

Step-by-step explanation:

if the rule was 1:2 then they would have won 4 games so its 1:1

Answer:

180

Step-by-step explanation:

beacause if you did

45 x 4 = 180

180- 184 = 4

sorry it's 3 digit number

a) Margine of error for the proportion of all U.S. adults who think things are on the wrong track for 95% confidence is 0.019.

b) Correct answer is B. One is 95% confident that the observed proportion of adults that responded "Wrong Track" is within ±0.019 of the population proportion.

a) To calculate the margin of error for the proportion of all U.S. adults who think things are on the wrong track for 95% confidence, we can use the following formula:

ME = z√((p(1-p))/n)

Where:

z = the z-score associated with the desired level of confidence (in this case, 1.96 for 95% confidence)

p = the proportion of adults in the sample who said things are on the wrong track

n = the sample size

Using the percentages provided in the question, we can calculate the sample proportion:

p = % of adults who said things are on the wrong track / 100

p = % / 100 = %

So, p =

We don't have the sample size, but we can assume it's large enough (at least 30) to use the normal distribution approximation. Therefore, we can use the percentages directly to calculate the margin of error:

ME = 1.96√((0.490.51)/n)

ME = 1.96√(0.2499/n)

ME = 1.96(0.499/n¹/²)

ME = 0.019

Hence the margine of error is 0.019.

b) The margin of error means that if we were to conduct the same survey many times and calculate a 95% confidence interval for the proportion of all U.S. adults who think things are on the wrong track using each sample, we would expect the true population proportion to be within ±0.019 of the sample proportion in 95% of the intervals.

Therefore, the correct answer is B. One is 95% confident that the observed proportion of adults that responded "Wrong Track" is within ±0.019 of the population proportion.

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There are numerous ways to grade a class of ten students. There are seven possible grades that could be given (A, B, C, D, F, I, or NC), depending on the grading scheme employed.

This indicates that there are mathematically 7 to the power of 10 (710) distinct methods to give the kids grades. There are approximately 8.3 billion ways to grade the ten pupils, or 8,300,000,000 ways in total.

Because there are seven different grades for each student, this number is extremely high. The number of possible options increases exponentially because there are 10 pupils. As a result, there are countless alternatives for how to assess the 10 kids.

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Answer:

x = -1

Step-by-step explanation:

5 less than a number is equivalent to 1 more than three times the number

number = x

x - 5 = 3x + 1

now im going to get the numbers and variable on different sides

x - 5 + 5 = x

3x + 1 - 3x = 1

x + 3x = 4x

1 - 5 = -4

4x = -4

lastly im going to divide each side by 4

4x / 4 = x

-4 / 4 = -1

x = -1

Answer: i believe its 15.12

Step-by-step explanation:

Roger's method would not provide relevant results for what he was trying to accomplish because he was calculating average over a 3 month period instead of for a single day.

Mean/Average of any given data simply means the sum of the given data divided by the sample size of the given data.

Now, when talking about average temperature, it simply means adding the temperatures for the duration you intend to analyze and then dividing the sum by the number of temperatures you added.

However, in this question Roger wants to find the average temperature for any given data and we know the temperatures in a 24-hour day may differ from time to time and as such the mean/average for a particular day would simply be found by adding up temperatures for the day and then dividing by the number of temperatures added.

Thus, Roger's method would not provide relevant results for what he was trying to accomplish because he was calculating average over a 3 month period instead of for a single day.

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