n this question, you will reflect on the difference between 0 and 0, according to our course's conventions. Which of the following expressions is a correct mathematical statement? For each incorrect statement, explain why it's wrong and suggest an alternative correct statement. (a) 0v=0 (b) 0v=0 (c) 0+v=v (d) v−v=0

The height of the cylinder is 3 and its base is a circular disk with radius 1.

The solid of revolution obtained by revolving the region bounded by the curves y = x - 1, y = 0, and x = 3 about the x-axis is a cylinder.

The curves y = x - 1 and y = 0 bound a triangular region in the xy-plane with vertices (0, -1), (3, 0), and (1, 0). When this region is revolved about the x-axis, it generates a cylinder with height 3 and base a circular disk with radius 1.

A cylinder has traditionally been a three-dimensional solid, one of the most normal of curvilinear geometric shapes.

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The writer's profit is $84.00. To calculate the writer's profit, you need to consider the premiums collected from selling the call options, the interest earned on those premiums, and the cost of buying the shares to complete the call contract.The premiums collected from selling the call options are:$0.91 x 100 = $91.00The interest earned on those premiums over 30 days at 5% is:($91.00 x 0.05 x 30) / 365 = $0.38The total amount of cash available to the writer at expiry is therefore:$91.00 + $0.38 = $91.38The cost of buying the shares to complete the call contract is:100 x $42 = $4,200.00Since the underlying asset is worth $39 at expiry, the writer can buy the necessary shares for:100 x $39 = $3,900.00The writer's profit is therefore:$91.38 - $3,900.00 = $84.00Since the writer made a profit, the answer is $84.00.

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The first five terms of the sequence are 1, 1, 2, 3, 5.

An arithmetic progression is sequence of numbers in which the difference between the consecutive terms is constant.  

\(a_{1} = 1 = a_{2}\)              ( first two terms given)

\(a_{n} = a_{n-1} +a_{n-2}\)     ( given sequence formula)

\(a_{3} = a_{2}+a_{1}\)            

= 1+1

= 2                           ( third term)

\(a_{4} = a_{3}+a_{2}\)

= 2 + 1

= 3                           (fourth term)

\(a_{5} =a_{4} +a_{3}\)

= 3 + 2

= 5                            (fifth term)

Therefore, we conclude that  the first 5 terms for the sequence

\(a_{n} = a_{n-1} +a_{n-2}\) are 1, 1, 2, 3 and 5.

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iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answer:

A and B

Step-by-step explanation:

The lines are both in slope intercept form:

y=Mx+b

Where m is the slope and b is the y intercept.

We have 2 lines:

y=1/3x+3

y=1/3x-2

1/3 is the coefficient of x, which means the slope is 1/3. Both of these lines have the same slope of 1/3. Since they both have the same slope, they are also parallel lines.

Therefore, A: the same slopes and B: parallel lines is correct.

In the photo, the red line is 1/3x+3 and the blue like is 1/3x-2

Answer:

Go right 4 blocks. Then go down 3 blocks.

Step-by-step explanation:

From Brianna's house at (1,6), move 4 blocks to the right and you will be at (5,6). Next, move 3 blocks down and you will be at Jordan's house at (5,3).

The correct interpretation of this interval is that we are 98% confident that the true population mean lies between 10 and 32.9 units.

A confidence interval can be defined as an interval of values containing a range of estimates of an unknown parameter with a specified level of confidence. A 98% confidence interval for widget width using data from a random sample of size n = 16 was generated and found to be 10 < μ < 32.9.

This means that if we keep repeating the process of randomly selecting 16 widget widths and finding 98% confidence intervals, 98% of the intervals generated will include the true mean width value of the population.

The correct interpretation of this interval is that we are 98% confident that the true population mean lies between 10 and 32.9 units. Note that this interval does not include the value 0, which means that we can conclude with 98% confidence that the population mean is not 0.

However, it is possible that the true population mean falls outside the interval. Therefore, it is important to consider the margin of error and the level of confidence while interpreting the results.

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Answer:

1900 km

Step-by-step explanation:

train = 1050km

bus = 200 less than train or 1050-200 = 850

1050+850=1900

Answer:

625, just got it right

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

\(-2<-1 \frac{5}{8}<-1\), and A is the only point between -2 and -1.

Answer: i believe your answer would be C.

Step-by-step explanation: it is located where -1 is and is on the 5th line. between -1 and the letter C there are 8 lines. So answer would be letter C. sorry if that’s wrong.

:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.

During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.

According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes

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Answer:

C

Step-by-step explanation:

Answer:

It is your answer please mark me brainlist

Step-by-step explanation:

follow

The total floor-space area of two rooms whose dimensions (width and length) of room1 have been read into two variables width1 and length1 and the dimensions of room2 have been read into two other variables width2 and length2 can be calculated by using the following expression: `(width1 * length1) + (width2 * length2)`

In this expression, `(width1 * length1)` calculates the floor space of the room1 and `(width2 * length2)` calculates the floor space of room2.

When both of these floor spaces are added using the "+" operator, the result is the total floor-space area of the two rooms.

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Answer:

Step-by-step explanation:

.3421

2x + 3 =15

the answer is x=6 !!

Answer:

x = 6

Step-by-step explanation:

2x + 3 = 15

2x = 15 - 3

2x = 12

2x/2 = 12/2

x = 6

Answer:

B

Step-by-step explanation:

B works because 30² + 72² = 78²

900 + 5184 = 6084

6084 = 6084

Answer:

B

Step-by-step explanation:

BROOOOO they literally taught me today, and every triangle equals 180 degrees so add 30 cm, 72 cm, 78 cm and it gives you 180. trust me on this :)))

Answer:

CA+AB=CB

Step-by-step explanation:

CA + AB = CB

The lines CA and AB will sum up to CB.

Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.

Given here: CA and AB along the same line CB also A,B,C are collinear also ∠DAB+∠CAD=180 as they are adjacent angles and thus are supplementary. Therefore CA+AB=CB

Hence, The lines CA and AB will sum up to CB.

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Answer:

B E F G

Step-by-step explanation:

Polygons are 2 dimensional shapes with straight edges (no curved edges). The shape needs to be closed up entirely to be a polygon. It cannot have any intersecting line segments

A can't be a polygon because the shape isn't closed up entirely

C can't be a polygon because it is a 3d shape

D can't be a polygon because it has curved edges.

H can't be a polygon because it isn't closed up (there are no line segments).

I can't be a polygon because polygons cannot have intersecting lines

J can't be a polygon because polygons cannot have intersecting lines

I hope this helps! If it does, a rate or brainliest would be much appreciated. :)

Answer:

\(area = \frac{45}{360} \times \pi {(15)}^{2} \\ = 88.35729338221 \\ = 88.6 \: (3sf)\)

Answer: -4096

Step-by-step explanation:

The 6th term of the geometric sequence is; -4096.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given as:

\(a_n = a_1q^{n-1}\)

In which a1 is the first term.

For this problem, we have :

The first term is  a1 = 4 and an =- 4 an–1  .

Therefore, the common ratio is q = -4.

Now the 6th term of the sequence is found as :

\(a_6 = 4(-4)^{5\)

a_6 = - 4096

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If we have a population that doesn't follow the normal distribution, we must choose a minimum sample size of 30 to ensure an approximately normal (symmetric) distribution.

        According to the Central Limit Theorem (CLT), a minimum sample size of 30 is required to ensure a normal distribution, regardless of the shape of the population distribution.

       In this case, a minimum sample size of 30 will suffice for a normal distribution, regardless of the population's shape, as long as the sample is random and the population's standard deviation is known or greater than 30.

      Therefore the minimum sample size of 30 we should select in order to have an approximately normal distribution (symmetric).

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Answer:

360.82

Step-by-step explanation:

Answer: A circle has a circumference C=1133.54 units. Substitute the value, Therefore, the diameter of the circle is 361 units.

Step-by-step explanation:

The time it takes for a wrench to fall 11 floors (33.0m) is approximately 2.59 seconds, disregarding air resistance.

To solve this problem, we can use the equations of motion for objects under constant acceleration due to gravity. The acceleration due to gravity is approximately 9.81 m/s^2, and we can assume that air resistance is negligible. First, we need to determine the time it takes for the wrench to fall from the 15th floor to the 4th floor, a distance of 11 floors or 33.0 m (11 floors x 3.0 m/floor). We can use the following equation to solve for the time: d = 1/2 * a * t^2

where d is the distance, a is the acceleration due to gravity, and t is the time.

Rearranging the equation, we get:

t = sqrt(2*d/a)

Substituting the values, we get:

t = sqrt(2 * 33.0 m / 9.81 m/s^2) = sqrt(6.712) s ≈ 2.59 s

Therefore, it takes approximately 2.59 seconds for the wrench to fall from the 15th floor to the 4th floor.

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Answer:

A

Step-by-step explanation

the line is touching the most points

Answer:

C

Step-by-step explanation:

C is the line of best fit because the number of points above the line and below the line is about equal and the line passes through as many points as possible.  The other choices do not meet this criteria.

After working 8 hours and grading 9 papers per hour, it is expected Autumn has 11 papers left.

To calculate the number of papers she can grade during this time, let's use the rate provided:

This means in 9 hours she can grade 72 papers.

Now, let's calculate the number of papers left:

Based on this, the total of papers left after working for 8 hours is 11 papers.

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30:80 is greater

Step-by-step explanation:

6:15=2:5=30:80=15:40

It would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.

To determine the number of years it will take for an investment of $100,000 at a 7% annual interest rate to grow to $500,000, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment ($500,000)

P = the initial principal amount ($100,000)

r = the annual interest rate (7% or 0.07)

n = the number of times that interest is compounded per year (assuming annually, so n = 1)

t = the number of years

Plugging in the values we know, we get:

$500,000 = $100,000(1 + 0.07/1)^(1*t)

Dividing both sides of the equation by $100,000 and simplifying:

5 = (1.07)^t

To solve for t, we can take the logarithm of both sides:

log(5) = log[(1.07)^t]

Using logarithmic properties, we can bring down the exponent:

log(5) = t * log(1.07)

Finally, we can solve for t by dividing both sides by log(1.07):

t = log(5) / log(1.07)

Using a calculator, we find:

t ≈ 19.65

Therefore, it would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.

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1. The area to left of -1.03 (p(z<-1.03)), is option b. 0.8485.

2. The the area to the left of  z = 1.96 , is option d. 0.9750.

3. The area to the left of z = -0.78.  is option c. 0.1539.

To find the value of the probability of the standard normal variable z corresponding to the area for p(z<-1.03), we can use a standard normal distribution table or calculator.

First, we need to locate the value of -1.03 on the standard normal distribution table, which represents the number of standard deviations away from the mean. This value corresponds to an area of 0.1492 in the table.

Since we want to find the area to the left of -1.03 (p(z<-1.03)), we can subtract this area from 1 to get the area to the right of -1.03, which is 1 - 0.1492 = 0.8508.

Therefore, the area to the left of -1.03 (p(z<-1.03)), is option b. 0.8485.

For problems 2 and 3, we can follow the same process of finding the area to the right of the given z-value and subtracting it from 1 to get the area to the left.

For problem 2, we need to find the area to the left of z = 1.96. Using a standard normal distribution table, we can find this area to be 0.0250. Subtracting this from 1, we get 1 - 0.0250 = 0.9750. Therefore, the the area to the left of  z = 1.96 , is option d. 0.9750.

For problem 3, we need to find the area to the left of z = -0.78. Using a standard normal distribution table, we can find this area to be 0.2177. Therefore, the area to the left of z = -0.78.  is option c. 0.1539.

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Sampling, Experiment, Simulation, Census

1. Sampling: This technique involves selecting a subset of individuals or items from a larger population to gather data. It is commonly used when it is not feasible or practical to collect data from the entire population. Sampling allows researchers to make inferences about the population based on the characteristics of the sample.

2. Experiment: In an experiment, researchers manipulate variables and observe the effects on the outcome of interest. They assign participants or subjects to different groups (e.g., control group and treatment group) and control the conditions to study the cause-and-effect relationships. Experiments are often used to test hypotheses and determine causal relationships between variables.

3. Simulation: Simulation involves creating a model or computer program that imitates real-world processes or systems. By running simulations, researchers can observe and analyze the behavior of the system under different scenarios. Simulations are useful for studying complex systems or situations that are difficult or costly to replicate in real life.

4. Census: A census involves collecting data from the entire population of interest rather than a sample. It aims to gather comprehensive information on all individuals or items within the population. Census data provide a complete picture of the population but can be time-consuming, expensive, and may not be feasible for large populations.

In order to determine which technique was used in a particular study, we would need more specific information about the study design, data collection methods, and objectives. Each technique has its own advantages and is suitable for different research scenarios, depending on factors such as the population size, research questions, available resources, and practical constraints.

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