1. If U=P({1,2,3,4}), what are the truth sets of the following propositions? (a) A∩{2,4}=∅. (b) 3∈A and 1∈/A. (c) A∪{1}=A. (d) A is a proper subset of {2,3,4}. (e) ∣A∣=∣Ac∣.

First we have to obtain what's the interest of both:

Where s is the interest (simple), i is the interest rate (per year), P is the principal amount and n is the term of the loan in years.

For both loans the principal amount is the same P = $215.76

Then, the bank has an interest rate of 18%, so i = 0.18 and the loan is for 24 months, n = 2

For the insurance company, the interest rate is 12%, i = 0.12 and the term of the loan is 36 months n = 3

The bank loan will cost him less than the insurance company loan

The sample size used in this analysis, representing the number of sales calls Lori made during the month, is approximately 385.

The sample size used in this analysis, representing the number of sales calls Lori made during the month, can be determined using the standard error of the proportion and the desired level of confidence.

To calculate the sample size, we need to use the formula:

\(n = (Z^2 * p * (1 - p)) / E^2\)

Where:

n = sample size

Z = z-score corresponding to the desired level of confidence

p = estimated proportion (historical book adoption rate)

E = margin of error (standard error of the proportion)

Given the standard error of the proportion as 0.0400, we can use this value as the margin of error (E). Assuming a 95% level of confidence, the corresponding z-score is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.20 * (1 - 0.20)) / 0.0400^2

Simplifying the equation, we get:

n = (3.8416 * 0.20 * 0.80) / 0.0016

n = 0.61536 / 0.0016

n ≈ 384.6

Therefore, the sample size used in this analysis, representing the number of sales calls Lori made during the month, is approximately 385.

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Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historicaly, Lori obtains a book adoption on 20% of her sales calls. Viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of 0.0400. Use z-table. How large was the sample used in this analysis? That is, how many sales calls did Lori make during the month?

Carlos harvests cassavas at a constant rate. He needs 353535 minutes to harvest a total of 151515 cassavas.

The ratio of the change in dependent values or outputs to the change in independent values or inputs is known as the rate of change. The change, which also refers to the function's slope, represents the shift in values between two points on a coordinate plane. The formula for the rate of change is (y2 - y1)/, where y stands for the dependent variable and x for the independent variable (x2 - x1).

Given:

Carlos gives  353535 minutes to harvest a total of 151515 cassavas.

Find:

We have to find the total number of cassavas.

Solution:

Carlos harvests cassava at constant rate is 353535 minutes per 151515 cassavas

= 151515/353535

= 0.429

A formula for the quantity of cassava (C) that Carlos harvests each time (T).

This means that after 353535 minutes, 151515 cassavas have been harvested, after 700000 minutes, 300000 cassavas, and so on.

Hence, the required constant rate is 0.429T.

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(a) The GPA for those with verbal SAT scores of 600 is: 3.097

(b) The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score

a. Estimate the average GPA for those with verbal SAT scores of 600.

The regression line relating verbal SAT scores and college GPA for the data exhibited in Figure 3.12 is y = 0.275 + 0.00362x.

The GPA for those with verbal SAT scores of 600 is:

y = 0.275 + 0.00362(600)

= 3.097

b. Explain what the slope of 0.00362 represents in terms of the relationship between GPA and SAT.

The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score

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Answer:

3m^4

Step-by-step explanation:

The best description of the probability of drawing a king from the deck is 1 out of 13, or 1/13.

The probability of drawing a king from a standard deck of 52 playing cards can be determined by dividing the number of favorable outcomes (number of kings) by the total number of possible outcomes (total number of cards in the deck).

In a standard deck, there are 4 kings (one king for each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.

The total number of possible outcomes is 52 (the total number of cards in the deck).

So, the probability of drawing a king is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 52

Simplifying the fraction gives us:

Probability = 1 / 13

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The parametric equations of the line through (0, 0, 0) in the direction of the vector v = u × w are x = y and y = z.

To find the parametric equations, we start with the vector equation (x, y, z) = (0, 0, 0) + t(u × w), where t is a parameter.

The cross product of vectors u and w, denoted by u × w, gives us the direction vector of the line. Let's assume that u = (u1, u2, u3) and w = (w1, w2, w3). Then the cross product is given by u × w = (u2w3 - u3w2, u3w1 - u1w3, u1w2 - u2w1).

Substituting this into the vector equation, we have (x, y, z) = (0, 0, 0) + t(u2w3 - u3w2, u3w1 - u1w3, u1w2 - u2w1).

Since we want to express the equations in terms of the variables x, y, and z, we equate each component of the vector equation to the corresponding variable. This gives us x = u2w3 - u3w2, y = u3w1 - u1w3, and z = u1w2 - u2w1.

Simplifying these equations, we obtain x = y and y = z.

Therefore, the parametric equations of the line through (0, 0, 0) in the direction of the vector v = u × w are x = y and y = z.

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Answer:

D.

Step-by-step explanation:

x + 6 ≤ 8

subtract 6 on both sides.

x ≤ 2

Option D is the correct answer.

Answer:  x=3, y=-1

Step-by-step explanation:

2x+y=5

2y=2x-8

In equation 1, y=5-2x.

Substitute this value in equation 2.

2(5-2x)=2x-8

10-4x=2x-8

Thus,

4x+2x=10+8 (collecting terms)

6x=18

x=3

Now, we said earlier that y=5-2x.

Therefore, y=5-2(3) [because x=3]

y=5-6

y=-1

Hope this helps :]

Answer:

third option

Step-by-step explanation:

\(( x + y = 8 ) + ( 2x^{2} - y = -5 )\\\\(x + y + 2x^{2} - y ) = 8 + (-5)\\2x^{2} + x = 3\)

Answer:

1 over 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

If by what is the measure of angle CBD you mean the degrees then I would say it is 45 degrees.

Answer:

Step-by-step explanation:

The value of X would be 18

x=18

Answer: 40 degrees

Step-by-step explanation:

The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling

The judgement sampling is a non probability that the researcher selects units to be sampled based on his own  knowledge and professional judgement. Here the probability is not a factor.

The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.

Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement

Therefore, the sampling method is judgement sampling

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Answer:

28°

Step-by-step explanation:

every Triangle equals to 180°

85+67=152

180-152=28

If the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, the average annual stock return is 11. 3% and you begin your investment portfolio with $2,000,

Suppose the amount he earns in one year is x,

x=  11. 3%. of $2,000

x=220

The portfolio be worth 30 years if the average holds are,

=220 × 30

=$ 6600

The net cost is the sum of the return and the initial investment,

=$ 6600 + $ 2000

=$8600

Thus, if the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.

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Answer:

With that amount of butter she can make 26 pies.

For each pie she spends $1.13625 of butter.

Step-by-step explanation:

We first need to convert the total amount of butter she has from pounds to cups, to do that we need to multiply by 2, since for each pound she has 2 cups of butter, therefore:

butter in cups = 10*2 = 20 cups

Since each pie requires 3/4 cups of butter in order to calculate the number of pies she can make we need to divide the total amount of butter she has by the amount required for each pie. We have:

number of pies = total butter in cups / butter for one pie

number of pies = 20 / (3/4) = 20*(4/3) = 80/3 = 26.667

Since she can't make 0.66 pies, we will need to take only the integer part in consideration, therefore she can make 26 pies.

In order to know the cost for each pie we first need to know the cost for each pound of butter, to calculate that we take the total amount paid by her and divide it by the amount of butter she got.

price of butter per pound = 30.3/10 = 3.03

So each pound of butter costs $3.03 and is equivalent to 2 cups, we can make a rule of three to find the cost for each pie as shown below:

2 cups -> $3.03

3/4 cups -> $x

2/(3/4) = 3.03/x

2*(4/3) = 3.03/x

8/3 = 3.03/x

8x = 9.09

x = 9.09/8 = $1.13625

For each pie she spends $1.13625 of butter.

Answer: (-1,0), (-2,-2), and (1,4) are all points on the line.

Step-by-step explanation: (2,0) isn’t on the line because it shows the x-axis first. If it was (0,2), then it would’ve been found on the line.

Answer:

y = x + 3

Step-by-step explanation:

If you plug in 2 as x, you will get the coordinates (2, 5).

Another way of solving it is reaching x = 0, then getting the y intercept directly from there.

Answer:

see below

Step-by-step explanation:

The point slope form is

y-y1 = m(x-x1)

y -5 = 1 (x-2)

y-5 = x-2

In slope intercept form

Add 5 to each side

y-5+5 = x-2+5

y =x+3

Answer:

The shorter side is 37 cm and the length of the longer side is 44 cm

Step-by-step explanation:

Let's denote the length of the shorter side of the parallelogram as x (in centimeters). Then, according to the problem statement, the length of the longer side is 7 cm longer, so it can be expressed as x + 7 cm.

Since a parallelogram has two pairs of parallel sides, the perimeter (the sum of all four sides) is given by:

Perimeter = 2 x (Length of Side 1 + Length of Side 2)

So, for our parallelogram, we can write:

162 cm = 2 x (x + x + 7 cm)

162 cm = 2(2x + 7 cm)

162 cm = 4x + 14 cm

148 cm = 4x

x = 37 cm

Therefore, the length of the shorter side is 37 cm and the length of the longer side is 37 cm + 7 cm = 44 cm.

Thus, the side lengths of the parallelogram are 37 cm and 44 cm.

Answer:

416

Step-by-step explanation:

Answer:

I think its c hope this helps I may be wrong

The approximate volume of the solid created by rotating the region under the curve y = sin(x) on the interval [0, π] around the x-axis is approximately 2.094 cubic units.

To find the volume of the solid, we can use the disk method. Considering a small segment on the x-axis between x and x + Δx, the corresponding slice of the solid can be approximated as a disk with radius y = sin(x) and thickness Δx. The volume of this disk is given by V = π * (sin(x))^2 * Δx.

To find the total volume of the solid, we need to sum up the volumes of all the disks. We can do this by taking the limit as the thickness Δx approaches zero and integrating over the interval [0, π]. Thus, the volume can be calculated as V = ∫[0, π] π * (sin(x))^2 dx.

Using a calculator or integration software, we can evaluate this definite integral. The result is approximately 2.094 cubic units. Therefore, the approximate volume of the solid created by rotating the region under the curve y = sin(x) on the interval [0, π] around the x-axis is approximately 2.094 cubic units.

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The equivalent value of m is given by the expression m = 1

Given data ,

We can use the properties of exponents to solve this problem. Specifically, when we multiply two powers with the same base, we add their exponents.

So, we have:

(-3)^(m+1) × (-3)⁵ = (-3)⁷

Using the property of exponents, we can add the exponents on the left-hand side:

(-3)^(m+1+5) = (-3)⁷

Simplifying the exponents on the left-hand side:

(-3)^(m+6) = (-3)⁷

We know that two powers with the same base are equal if and only if their exponents are equal. So, we can set the exponents equal to each other:

m + 6 = 7

Subtracting 6 from both sides:

m = 1

Hence , m = 1 is the value that satisfies the equation

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The Spearman rank-order correlation coefficient is a measure of the direction and strength of the linear relationship between two ordinal variables.

Spearman's rank-order correlation is used when two variables are measured on an ordinal scale.

What is the Spearman Rank-Order Correlation Coefficient?

The Spearman Rank-Order Correlation Coefficient is a non-parametric statistical measure that estimates the relationship between two variables using ordinal data.

It evaluates the strength and direction of a relationship between two variables by rank-ordering the data.

The Spearman correlation coefficient, named after Charles Spearman, calculates the association between two variables' rankings.

The correlation coefficient ranges from -1 to +1. A value of +1 indicates that there is a perfect positive relationship between the variables, whereas a value of -1 indicates that there is a perfect negative relationship between the variables.

In contrast, a value of 0 indicates that there is no correlation between the variables.

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Answer:

D

Step-by-step explanation:

Every 4 cups eqauls half of 4 wich is 2

Answer:

D 4:2

Step-by-step explanation:

Because out of every 4 cups Lisa used 2 packets this would be the same if she used 8 cups and 4 packets

Here, we've rewritten the original statement without using the words "necessary" or "sufficient" by applying the rules of negating a ∀ statement and an if-then statement.

To rewrite the given statement without using the words "necessary" or "sufficient", we'll apply the rules mentioned in the question.

Statement: Being a polynomial is not a sufficient condition for a function to have a real root.

1. Identify the sufficient condition: "Being a polynomial"
2. Identify the necessary condition: "A function having a real root"

Now, we'll use the fact that the negation of an if-then statement is an and statement. The given statement can be written as:

If a function is a polynomial, then it has a real root.

The negation of this if-then statement would be:

A function is a polynomial and it does not have a real root.

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a) The negation of "Being divisible by 8 is a necessary condition for being divisible by 4" is:

"There exists a number that is divisible by 4 but not by 8." Using the negation of a universal quantifier, we can rewrite this as "Not all numbers divisible by 4 are also divisible by 8."

b) The negation of "Having a large income is a necessary condition for a person to be happy" is:

"There exists a person who is happy but does not have a large income." Using the negation of a universal quantifier, we can rewrite this as "Not all happy people have a large income."

c) The negation of "Having a large income is a sufficient condition for a person to be happy" is:

"There exists a person who does not have a large income but is still happy." Using the negation of an if-then statement, we can rewrite this as "Having a large income and being happy are not always true together."

d) The negation of "Being a polynomial is a sufficient condition for a function to have a real root" is:

"There exists a function that is a polynomial but does not have a real root." Using the negation of an if-then statement, we can rewrite this as "Being a polynomial and having a real root are not always true together."

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Answer:500

Step-by-step explanation:

Answer:

Step-by-step explanation:

Diagonal through the interior of the cube is BG.

The rest are the diagonals of the faces.

Answer:

I think its 13 but im not possitive

Step-by-step explanation:

I would double check :}