A class Eleventh Maths teacher Khushali wrote some sets in set builder form on a black board of class;A={x: xis a prime natural number and x is less than equal to 7 }
B ={y: y is an odd natural number and y E 7}
Where Universal set U = {l,2,3,4,5,6,7,8}

i)Write sets A and B in roster form
ii)Find A u B and A n B
iii)Find the number of all subsets of universal set U and number of relations from A to B

Answers

Answer 1

Step-by-step explanation:

i)

A = {2, 3, 5, 7}

as "1" can only be divided by one number (instead of the usual 2 numbers for prime numbers), if it's not part of that set.

out of U = {1, 2, 3, 4, 5, 6, 7, 8}

B = {1, 3, 5}

I am not sure what you mean by "y E 7".

I don't think you mean the E7 algebraic group.

I decided you mean y <> 7 (not equal to 7).

ii)

A u B (united) = {1, 2, 3, 5, 7}

A n B (elements in common) = {3, 5}

iii)

a set with n elements has 2^n subsets and (2^n) - 1 proper subsets (all subsets minus the equal one).

our U here has 8 elements, so the number of subsets is

2⁸ = 256.

the number of relations from A to B is 2^|A×B| = 2^(|A|·|B|).

|A| = 4

|B| = 3

so the number of relations from A to B are

2^(4×3) = 2¹² = 4096

remember, for the number of possible relations we have 4×3 = 12 possible combinations of elements of A and engender of B.

each of these combinations can be in the set of relations or not, which gives us 2 options per combination.

that gives us 2¹² relations.


Related Questions

Find the value of X using the picture below.

Answers

Answer:

x = 7

Step-by-step explanation:

The two angles are equal so the opposite sides are equal.

5x-2 =33

Add two to each side.

5x-2+2 = 33+2

5x=35

Divide by 5

5x/5 =35/5

x = 7

true/false. when the population variance is not known (i.e., must be estimated from data), we use a z-statistic instead of a t-statistic for our hypothesis tests.

Answers

The given statement " when the population variance is not known (i.e., must be estimated from data), we use a z-statistic instead of a t-statistic for our hypothesis tests. " is false. Because in distribution of sample means, population variance is unknown.

When the population variance is not known and must be estimated from the data, we use a t-statistic instead of a z-statistic for our hypothesis tests.

This is because the distribution of the sample means follows a t-distribution when the population variance is unknown, whereas it follows a standard normal distribution (z-distribution) when the population variance is known.

The t-distribution has fatter tails than the z-distribution to account for the extra uncertainty introduced by estimating the population variance from the sample.

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Prove that the diagonals of rectangle are equal vectorically in easy way​

Answers

Answer: Imagine a rectangle with its centre (point of intersection of diagonals) situated at the origin of the XY plane and it's each of the sides being aligned with the co-ordinate axis.

Suppose Set A contains 98 elements and Set B contains 93 elements. If Sets A and B have 35 elements in common, what is the total number of elements in either Set A or Set B.

Answers

The total number of elements in either Set A or Set B is 156.

How are sets and subsets different from one another?

A set is a collection of unique items, but a subset is a set that contains only components that belong to another set, termed the superset. In other words, set A is a subset of set B if all of its items are also found in set B.

Given that, Set A contains 98 elements and Set B contains 93 elements.

Total number of elements in either Set A or Set B = number of elements in Set A + number of elements in Set B - number of common elements

Total number of elements in either Set A or Set B = 98 + 93 - 35

Total number of elements in either Set A or Set B = 156

Hence, the total number of elements in either Set A or Set B is 156.

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What was your recommended intake of carbohydrates (grams), and how far were you from it? Show the mathActual Intake Recommended Intake Percentage159.00 115-166 100%

Answers

The actual intake of carbohydrates is 138% as compare to recommended intake.

Recommended intake of carbohydrates or any other nutrient are,

Based on the information provided,

Consumed 159 grams of carbohydrates,

Recommended intake is between 115 and 166 grams.

Calculate the percentage of actual intake compared to the recommended intake, use the following formula,

Percentage = (Actual Intake / Recommended Intake) x 100%

Substituting the values in the formula we have,

⇒Percentage = (159 / 115) x 100%

⇒Percentage ≈ 138.3%

Therefore,  the actual intake of carbohydrates is about 138% of the recommended intake, indicating that consumption of more carbohydrates than recommended.

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Evaluate the logarithmic expression without using a calculator. Answer exactly. log 2 ( 1/16 ) + 4 =

Answers

[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}[/tex]

[tex]\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4[/tex]

Zaheer had a set of marbles, he used 2/3 to make a design and he had 14 left. How many did he used to make the design?

Answers

Answer: 42

Step-by-step explanation:

1. 1/3=14

2. 14x3=42

Colin buys gas for her car at $4 a gallon. Write an equation using two variables to show the relationship between the number of gallons of gas, g, and the total amount of amount she spends, s.

Answers

Answer:

s = 4g    ..........................................................                      

Answer: s = 4g

$4 is spent per gallon, so 4 must be multiplied with g and s does not change as it’s the amount she’s going to spend

So the answer is s = 4g

I will mark you brainiest!

A concave polygon can never be classified as a regular polygon.

A) True
B) False

Answers

Answer:

False.

Step-by-step explanation:

A concave polygon can never be a regular polygon as it can never be equiangular. Each side of a regular polygon must be the same length, and all interior angles must also be equal.

A parent donated 36 fruit cups and 24 bananas to fifth grade. The teacher wanted to make field trip snack bags with the donated food and wondered about the ways snacks could be packed. To be fair the teacher wants to make sure that all bags are exactly the same.

A) What is the greatest number of snack bags that the teacher can make, if each bag is identical? How do you know ?

B) What other numbers of snack bags could she make? How do you know?

2) Another parent also donated 24 bananas, so there are 48 bananas total. Now what is the greatest number of snack bags can that can be made?

3) The teacher realized that she miscounted and had only 30 fruit cups. How many snack bags can she make with 48 bananas and fruit cups?

4) What do the different numbers of snack bags that can be made have to do with the number of fruit cups and number of bananas?

Answers

A) To find the greatest number of snack bags the teacher can make, we need to determine the greatest common factor of 36 and 24. The prime factorization of 36 is 2^2 x 3^2, and the prime factorization of 24 is 2^3 x 3. The greatest common factor is 2^2 x 3, which is 12. Therefore, the teacher can make 12 identical snack bags.

B) Other numbers of snack bags that could be made would be factors of 12, such as 1, 2, 3, 4, or 6. This is because the teacher can only make an integer number of identical bags using the given number of fruit cups and bananas.

With 48 bananas and 36 fruit cups, the greatest common factor is 12, as shown in part A. Therefore, the teacher can make 12 identical snack bags with 48 bananas and 36 fruit cups.
With only 30 fruit cups, the greatest common factor between 30 and 48 is 6. Therefore, the teacher can make 6 identical snack bags with 30 fruit cups and 48 bananas.
The different numbers of snack bags that can be made are related to the greatest common factor between the number of fruit cups and bananas. The greatest common factor determines how many identical bags the teacher can make, as each bag must have the same number of fruit cups and bananas. If the greatest common factor is 1, then the teacher can only make one bag with all the fruit cups and bananas. If the greatest common factor is larger, then the teacher can make multiple bags with an equal number of fruit cups and bananas.

2(x-6)²

could you please explain this to me, thanks!

Answers

Answer:

expand the square

2(x-6) (x-6)

2(x(x-6)-6(x-6)

2(x²-6x-6(x-6)

2(x²-6x-6x+36)

2(x²-12x+36)

2x²-24x+72

Step-by-step explanation:

hope this helps

Mr. James is enlarging a logo for printing
on the back of a T-shirt. He wants to enlarge a logo that is 3 inches by
5 inches so that the dimensions are 3 times larger than the original. How
many times as large as the original logo will the area of the printing be?

Answers

The area of the enlarged logo will be 9 times larger than the original logo.

When an object is enlarged or scaled up how does it area change ?

When an object is enlarged or scaled up by a factor of [tex]k[/tex], both its length and width are multiplied by [tex]k[/tex]. Therefore, the new length is [tex]k[/tex] times the original length, and the new width is [tex]k[/tex] times the original width.

The area of the new object is the product of the new length and width, which is ([tex]k[/tex] times the original length) multiplied by ([tex]k[/tex] times the original width), or [tex]k^2[/tex] times the original area.

Therefore, the area of an object increases by a factor of [tex]k^2[/tex] when the object is enlarged or scaled up by a factor of [tex]k[/tex].

Calculating how many times larger the area of the enlarged logo will be :

The original logo has dimensions of 3 inches by 5 inches, so its area is 3 x 5 = 15 square inches.

Mr. James wants to enlarge the logo so that the dimensions are 3 times larger than the original. This means the new dimensions will be 9 inches by 15 inches.

To determine how many times larger the area of the enlarged logo will be, we need to compare the areas of the original logo and the enlarged logo. The area of the enlarged logo is 9 x 15 = 135 square inches.

To find out how many times larger the area of the enlarged logo is compared to the original logo, we divide the area of the enlarged logo by the area of the original logo:

135 square inches ÷ 15 square inches = 9

Therefore, the area of the enlarged logo will be 9 times larger than the area of the original logo.

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A bucket contains three slips of paper. One of the following colors is written on each slip of paper: Red, Blue, and Yellow.


List 1 List 2 List 3 List 4
Red Red, Blue Red, Red Red, Red, Red
Blue Red, Yellow Red, Blue Red, Blue, Yellow
Yellow Blue, Red Red, Yellow Red, Yellow, Blue
Red Blue, Yellow Blue, Blue Blue, Blue, Blue
Blue Yellow, Red Blue, Red Blue, Red, Yellow
Yellow Yellow, Blue Blue, Yellow Blue, Yellow, Red
Red Red Yellow, Yellow Yellow, Yellow, Yellow
Blue Blue Yellow, Red Yellow, Red, Blue
Yellow Yellow Yellow, Blue Yellow, Blue, Red


Which list gives the sample space for pulling two slips of paper out of the bucket with replacement?
List 1
List 2
List 3
List 4

Answers

The list that gives the sample space for pulling two slips of paper out of the bucket with replacement is List 4.

What is probability?

Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It is the measure of the likelihood or chance that an event will occur. Probability is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will occur with certainty.

According to the given information:

The sample space for pulling two slips of paper out of the bucket with replacement means that after drawing the first slip of paper, it is returned to the bucket before drawing the second slip. This means that each draw is independent of the previous draw, and the possible outcomes of each draw remain the same for all subsequent draws.

The possible outcomes for each draw are {Red, Blue, Yellow}, and there are three possible outcomes for each draw.

Since we are drawing with replacement, each draw has the same possible outcomes and the same number of outcomes. So, the total number of possible outcomes for two draws is simply the number of outcomes for a single draw raised to the power of 2:

[tex]3^2 = 9[/tex]

Therefore, the list that gives the sample space for pulling two slips of paper out of the bucket with replacement is List 4.

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PLEASE HELP ME YOU WILL BE MARKED BRAINLIEST!!!1

Answers

The experimental probability of winning the contest based on the data of all 3 games is 0.432.

What is experimental probability ?

Experimental probability is a measure of the likelihood of an event occurring based on the results of an experiment or observation. It is determined by dividing the number of times the event occurred by the total number of trials or observations. The more trials or observations conducted, the more accurate the experimental probability will be. Experimental probability is often used in situations where the probability of an event cannot be determined theoretically or where the theoretical probability is difficult to calculate. It is also commonly used in scientific experiments, market research, and other fields where the results of an experiment or observation can be used to make predictions or inform decisions.

Finding the experimental probability of winning the contest :

In this case, the event is winning the contest by choosing a marble from a bag, and the trials are the three games played by Hal.

Total number of players in all three games = 123 + 155 + 172 = 450

Total number of winners in all three games = 52 + 63 + 65 = 180

Experimental probability of winning the contest = Number of winners / Total number of players = 180/450 = 0.432

Therefore, the experimental probability of winning the contest based on the data of all 3 games is 0.432.

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The Millers have hired an interior designer to decorate their family room. They want to have a 29" by 29" oil painting framed and incorporated in the design plan. If the designer chooses molding that is 4" wide and is priced at $3.65 per inch, how much will the molding cost (before tax)?

Answers

Answer: I really don't know i'm just trying to get a quest done sorry

The water bill was $120. It went up 5%. Use two different expressions to find the amount of the new water bill. You may use a calculator.​

Answers

The new water bill after 5% increase is $126.

Define Percentage

The ratio that may be stated as a fraction of 100 is called as a percentage in mathematics. To compute a percentage of a number, divide it by its whole and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

First Expression:

Given bill of water =$120

Increment in percentage=5%

New water bill= 120+120×5/100

=$126

Hence, The new water bill after 5% increase is $126.

2nd Expression

% increase = Increase in bill ÷ Old bill × 100.

5%=Increase in bill/120×100

Increase=5×120/100

=6

New bill=Old bill+ increase=120+6=126

hence, the new water bill after 5% increase is $126.

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A cube of sugar is 2cm wide. Calculate the number of cube in a box 720cm³​

Answers

Answer:

V=lwh

=2×2×2=8

720÷8=90

90 cubes

Find dz/dt in two ways: by using the Chain Rule, and by first substituting the expressions for x and y to write z as a function of t. Do your answers agree?z= x^2y+xy^2, x = 3t y = t^2

Answers

The derivative of the function z= x^2y+xy^2, x = 3t y = t^2 using the chain rule is given by dz/dt = 36t^3 + 15t^4.

Expressions are equals to,

z= x^2y+xy^2

x = 3t

y = t^2

Using the chain rule calculate dz/dt,

which states that if z is a function of x and y,

And x and y are both functions of t, then,

dz/dt = (dz/dx)(dx/dt) + (dz/dy)(dy/dt)

Using these expressions, calculate the value of dz/dt using the chain rule,

z= x^2y+xy^2

This implies,

dz/dx = 2xy + y^2

dz/dy = x^2 + 2xy

x = 3t

⇒ dx/dt = 3

y = t^2

⇒ dy/dt = 2t

Substituting these values into the chain rule formula, we get,

dz/dt = (2xy + y^2)(3) + (x^2 + 2xy)(2t)

        = [2(3t)(t^2 ) + (t^2)^2 ]3 + [(3t)^2 + 2(3t)(t^2)](2t )

        = [ 6t^3 + t^4 ]3 + [ 9t^2 + 6t^3 ]2t

        = 18t^3 + 3t^4 + 18t^3 + 12t^4

        = 36t^3 + 15t^4

Substituting the given expressions for x and y into z, we get,

z = (3t)^2(t^2) + (3t)(t^2)^2

   = 9t^4 + 3t^5

here also,

dz/dt = 36t^3 + 15t^4

Therefore, the value of the function using the chain rule dz/dt is equals to  36t^3 + 15t^4.

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Change the following equation of a line into slope-intercept form.
y + 4 = 2x

Answers

Answer:

Step-by-step explanation:

[tex]y=2x-4[/tex]    (slope-intercept form is [tex]y=mx+b[/tex] where m=gradient

                     and b is where line intercepts y-axis)

Bhujangrao invested Rs. 2,50,590 in shares of F.V. Rs. 10 when M.V. is Rs. 250. [Nov 2020]
Rate of brokerage is 0.2% and GST is 18%, then find:
a. the number of shares purchased,
b. the amount of brokerage paid, and
c. GST paid for the trading

Answers

a. The number of shares purchased can be calculated as:

Number of Shares = (Investment Amount / Face Value)

= 25,059/ 10 = 2,505.9 = 2,506 (to the nearest whole number)

b. The amount of brokerage paid can be calculated as:

Brokerage = (Investment Amount x Brokerage Rate)

= 2,50,590 x 0.002 = Rs. 501.18

c. The GST paid for the trading can be calculated as:

GST = (Brokerage Amount x GST Rate)

= 501.18 x 0.18 = Rs. 90.22

In the New York State Numbers Lottery, you pay $1 and pick a number from 000 to 999. If your number comes up, you win $750, which is a profit of $749. If you lose, you lose $1. Your probability of winning is 0.001.

Answers

The expected value of playing this game is -$0.251. This means that, on average, you can expect to lose 25.1 cents every time you play this game.

What is outcome?

The term "outcome" generally refers to the result or effect of an action, process, or event. It refers to what happens as a consequence of a particular decision, activity, or circumstance.

According to question:

To calculate the expected value, we multiply the possible outcomes by their probabilities and then sum them up.

Let's start with the possible outcomes:

If you win, you make a profit of $749, so the outcome is $749.

If you lose, you lose $1, so the outcome is -$1.

The probabilities are:

Probability of winning is 0.001.

Now we can calculate the expected value:

Expected value = (0.001 * $749) + (0.999 * -$1)

Expected value = $0.748 - $0.999

Expected value = -$0.251

Therefore, the expected value of playing this game is -$0.251. This means that, on average, you can expect to lose 25.1 cents every time you play this game.

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Solve using the correct order of
operations.
P
E
MD
AS
15-(4-3) 2= [?]
Enter
Help

Answers

Here using the correct order of operations that is PEMDAS, we get the value to be 13.

Define PEMDAS?

PEDMAS can be summed up as a mathematical acronym that lists the various arithmetic operations in order of greatest to least practical use.

The letters stand for:

P stands for parentheses.

Exponents are shown as E.

D stands for division.

The letter M stands for multiplication.

A stand for addition.

S stands for subtraction.

Now in the given question,

15 - (4-3)2

First the parentheses

15 - (1)2

Next is exponents.

15 - 2

At last, after subtracting, we get:

13

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I don’t understand please help me with this

Answers

Answer:

Greg bought a pack of X jumbo stickers during the back - to - school sale at Crafty's craft store. He ( uses 4  ( -4 ), ( you didn't give options ). There were 8 stickers left in the pack.

Hope this helps!

Step-by-step explanation:

x P(x)
0 0.1
1 0.05
2 0.1
3 0.75


Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places

Answers

Answer: To find the standard deviation of a probability distribution, we need to first calculate the mean or expected value of the distribution, which is given by:

E(X) = Σ [xi * P(xi)]

where xi is the ith outcome and P(xi) is its probability.

So, for the given distribution:

E(X) = (0 * 0.1) + (1 * 0.05) + (2 * 0.1) + (3 * 0.75) = 2.4

Next, we need to calculate the variance of the distribution, which is given by:

Var(X) = Σ [(xi - E(X))^2 * P(xi)]

So, for the given distribution:

Var(X) = (0 - 2.4)^2 * 0.1 + (1 - 2.4)^2 * 0.05 + (2 - 2.4)^2 * 0.1 + (3 - 2.4)^2 * 0.75 = 0.69

Finally, the standard deviation of the distribution is the square root of the variance:

SD(X) = sqrt(Var(X)) = sqrt(0.69) ≈ 0.83

Therefore, the standard deviation of this probability distribution is approximately 0.83, rounded to 2 decimal places.

Step-by-step explanation:

Parts A-D. What is the value of the sample mean as a percent? What is its interpretation? Compute the sample variance and sample standard deviation as a percent as measures of rotelle for the quarterly return for this stock.

Answers

The sample mean is 2.1, the sample variance is 212.5% and the standard deviation is 14.57%

What is the sample mean?

a. The sample mean can be computed as the average of the quarterly percent total returns:

[tex](11.2 - 20.5 + 13.2 + 12.6 + 9.5 - 5.8 - 17.7 + 14.3) / 8 = 2.1[/tex]

So the sample mean is 2.1%, which can be interpreted as the average quarterly percent total return for the stock over the sample period.

b. The sample variance can be computed using the formula:

[tex]s^2 = sum((x - mean)^2) / (n - 1)[/tex]

where x is each quarterly percent total return, mean is the sample mean, and n is the sample size. Plugging in the values, we get:

[tex]s^2 = (11.2 - 2.1)^2 + (-20.5 - 2.1)^2 + (13.2 - 2.1)^2 + (12.6 - 2.1)^2 + (9.5 - 2.1)^2 + (-5.8 - 2.1)^2 + (-17.7 - 2.1)^2 + (14.3 - 2.1)^2 / (8 - 1) = 212.15[/tex]

So the sample variance is 212.15%. The sample standard deviation can be computed as the square root of the sample variance:

[tex]s = \sqrt(s^2) = \sqrt(212.15) = 14.57[/tex]

So the sample standard deviation is 14.57%.

c. To construct a 95% confidence interval for the population variance, we can use the chi-square distribution with degrees of freedom n - 1 = 7. The upper and lower bounds of the confidence interval can be found using the chi-square distribution table or calculator, as follows:

upper bound = (n - 1) * s^2 / chi-square(0.025, n - 1) = 306.05

lower bound = (n - 1) * s^2 / chi-square(0.975, n - 1) = 91.91

So the 95% confidence interval for the population variance is (91.91, 306.05).

d. To construct a 95% confidence interval for the standard deviation (as percent), we can use the formula:

lower bound = s * √((n - 1) / chi-square(0.975, n - 1))

upper bound = s * √((n - 1) / chi-square(0.025, n - 1))

Plugging in the values, we get:

lower bound = 6.4685%

upper bound = 20.1422%

So the 95% confidence interval for the standard deviation (as percent) is (6.4685%, 20.1422%).

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when comparing the distribution of the population of individual scores to the distribution of means, the distribution of means will always have

Answers

The population distribution of scores has a similar average as the distribution of means.

In a sample distribution of means, the distribution will roughly resemble a normal distribution, the sampling distribution's mean will be equal to the population's mean, and the sampling distribution's standard deviation is based on the Central Limit Theorem.

The central limit theorem (CLT) of probability theory states that the distribution of a sample variable tends towards a normal distribution (i.e., a "bell curve") as the sample size increases, under the premise that all samples are of equal size and regardless of the population's actual distribution shape.

In other terms, the central limit theorem (CLT) is a statistical presumption that the mean of all sampled variables from the same population will be substantially equal to the mean of the entire population, given a large enough sample size from a population with little volatility. These samples likewise resemble a normal distribution in accordance with the law of large numbers, with their variances nearly matching the variance of the population as the sample size rises.

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the actual question is :

When comparing the size of the standard error of the mean with the size of the standard deviation of the underlying distribution of individual scores:

a. the standard error of the mean is always larger

b. the standard error of the mean is always smaller

c. the standard error of the mean is sometimes larger and sometimes smaller, depending on the sample size

d. none of these

Students at a virtual school are allowed to sign up for one math class each year. The numbers of students signing up for various math classes for the next school year are given in the following table:
Grade Geometry Algebra I Pre-Calculus AP Statistics Total
A student calculated the joint relative trequency of 10th grade students in geometry as being 71.4%. What did the student actually calculate and what is the correct answer?
A) The student calculated the conditional relative frequency for students who are in 10th grade, given that they are enrolled in Geometry. The correct value of the joint relative frequency of 10th grade students in geometry is 20.7%.
B) The student calculated the conditional relative frequenc for students who are in 10th grade, given that they are enrolled in Geometry. The correct value of the joint relative frequency of 10th grade students in geometry is 29%.
C) The student calculated the marginal relative frequency for 10th grade students in geometry. The correct value of the joint relative trequency of 10th grade students in geometry is 20.7%.
D) The student calculated the marginal relative frequency for 10th grade students in geometry. The correct value of the joint relative frequency of 10th grade students in geometry is 29%

Answers

Option C) The student calculated the marginal relative frequency for 10th grade students in geometry. The correct value of the joint relative frequency of 10th grade students in geometry is 20.7%.

How to calculate a relative frequency?

Relative frequency is a measure of the proportion or percentage of times an event occurs in a given sample. It is calculated by dividing the frequency of an event by the total number of events in the sample. The formula for relative frequency is given as follows:

Relative frequency = Frequency of an event / Total number of events in the sample

For the joint relative frequency of 10th grade students in geometry, the parameters are given as follows:

Frequency of 10th grade students in geometry: 20.7%.Total number of events in the sample: 100% of students.

Hence the joint relative frequency is obtained as follows:

20.7/100 x 100%= 20.7%.

Hence option C is correct.

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Conduct a survey with a minimum of 20 people. Complete the designed questionnaire in 1.2. Remind participants why you are doing survey and that their information will be kept confidential. Submit 20 original completed questionnaires.

Answers

Some of the tips which is used to conduct a survey are:

Determine the purpose of the survey and define the population of interest.Design the questionnaire and ensure that the questions are clear and concise.Select a sample from the population and distribute the questionnaire to the participants.Remind participants why you are conducting the survey and assure them that their responses will be kept confidential.

What is the need to conduct a survey (questionnaire)?

Conducting a survey is an important tool for gathering information from a large and diverse group of people. Its allows allow researchers to obtain data from a representative sample of the population, which can then be used to make informed decisions, identify trends, and measure changes over time.

Also important, its can provide insight into people's attitudes, beliefs, and behaviors, which can be valuable in developing marketing strategies, designing programs and policies, and making important decisions.

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Increase £16470.45 by 3.5%
Give your answer rounded to 2 DP

Answers

Step-by-step explanation:

"increase" means to take the original 100% and put an additional 3.5% of these 100% on top of it.

so, we have to calculate

100% + 3.5% of £16470.45

100% of £16470.45 = £16470.45 × 100/100

3.5% of £16470.45 = £16470.45 × 3.5/100

the sum is therefore

£16470.45 × (100/100 + 3.5/100) =

= £16470.45 × (1 + 0.035) = £16470.45 × 1.035 =

= £17,046.91575 ≈ £17,046.92

Se depositan $ 8.000 en un banco que reconoce una tasa de interés del 36% anual, capitalizable mensualmente. ¿Cuál será el monto acumulado en cuatro años?

Answers

Answer:

Se depositan $ 8.000 en un banco que reconoce una tasa de interés del 36% anual, capitalizable mensualmente. ¿Cuál será el monto acumulado en cuatro años?

Step-by-step explanation:

Para resolver este problema, podemos utilizar la fórmula del interés compuesto:

A = P*(1 + r/n)^(n*t)

Donde:

A: el monto acumulado después de t años

P: el capital inicial

r: la tasa de interés anual

n: el número de veces que se capitaliza el interés por año

t: el tiempo en años

En este caso, tenemos:

P = $8.000

r = 36% = 0.36

n = 12 (ya que la tasa de interés se capitaliza mensualmente)

t = 4 años

Sustituyendo estos valores en la fórmula, obtenemos:

A = $8.000*(1 + 0.36/12)^(124)

A = $8.000(1 + 0.03)^48

A = $8.000*(1.03)^48

A = $16.751,83

Por lo tanto, el monto acumulado en cuatro años será de $16.751,83.

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