In this figure,AB | CD andmZ2 = 60m_6What isEnter your answer in the box.

the measurement of angle 6 is 60

Related Questions

19. Round the number 347 500 to the nearest 1000; 10 000 and 100 000.To the nearest 1000
To the nearest 10 000
To the nearest 100 000

34800, 350000, 300000

Step-by-step explanation:

5>=5

34800

7>=5

350000

4<=5

300000

You have just received a windfall from an investment you made in a friend's business. He will be paying you $10,000 at the end of this year,$20,000 at the end of the following year, and $30,000 at the end of the year after that (three years from today). The interest rate is 3.5% per year. a.What is the present value of your windfall? b.What is the future value of your windfall in three years (on the date of the last payment)? Answers Answer: a.$55,390.29

b. $61,412.20 Step-by-step explanation: a. To find the present value of your windfall, each value must be brought back to the present year at a rate of 3.5% per year. The present value is: The present value of your windfall is$55,390.29.

b. To find the future value of your windfall at the date of the last payment, simply compound the preset value amount obtained on the previous item for three years at a rate of 3.5%:

The future value of your windfall is $61,412.20. Final answer: The present value and future value of an investment are calculated using formulas that account for the interest rate and the period. The present value is calculated by dividing each year's payout by the increment of the interest rate for that year and summing these values. The future value in this scenario would be the sum of the payouts. Explanation: This question deals with the financial concepts of present value and future value in relation to an investment payout structure over time. a. The present value is a measure of the current worth of a future sum of money given a specified rate of return. The formula to calculate present value is PV = CF / (1 + r)^n, where CF is cash flow, r is interest rate and n is the period. To calculate the present value of your windfall: • End of Year 1: PV =$10,000 / (1+0.035)^1
• End of Year 2: PV = $20,000 / (1+0.035)^2 • End of Year 3: PV =$30,000 / (1+0.035)^3

Add all these present values together to get the total present value.

b. The future value is how much an investment is worth at a certain time in the future. The formula to calculate future value is FV = CF * (1 + r)^n. But in this case since the last cash flow coincides with the period, the future value in three years would simply be the sum of all cash flows which is $60,000 ($10,000+$20,000+$30,000).

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Step-by-step explanation:

In manufacturing, convenience sampling could be used to determine if the machines are operating correctly. Which of the following best describes this type of sampling?Every 10th product in the line is selected
Samples are randomly selected throughout the day
Products are put into groups and all are included from several randomly selected groups
Products are put into groups and some are randomly selected from each group

Every 10th product in the line is selected

Step-by-step explanation:

Convenience sampling also available sampling, or nearest in reach sampling.

it is a type of non-probability sampling that involves the sample being drawn from a population that is in reach or that is easily at hand.

example. A questionnaire being distributed to people met in a mall.

for the manufacturing company in question, the first 10 product in line were the first set of product the machine will produce (at hand).

it is normally use to test run the operation of the machine.

Convenience sampling in manufacturing is best described as selecting every 10th product in the line for testing. It is a simple, quick, and cost-effective way to identify potential issues.

Explanation:

In the context of manufacturing, convenience sampling represents a type of sampling where samples are chosen because they are readily available or easy to obtain. In the provided choice list, the best description of convenience sampling is 'Every 10th product in the line is selected'. This method is chosen for its simplicity and speed. While it may not provide a comprehensive result since it won't cover all the various different scenarios, it is a cost-effective and time-efficient way of identifying potential issues in machine operations.

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Cost of Health Care ~ Have you or a member of your immediate family put off medical treatment due to cost during the past year? In 2016, a survey asked 967 randomly selected American adults this question and 184 said yes. In 2019, another survey asked the same question to 1015 randomly selected American adults and 253 said yes. We want to determine if there is a difference between the proportion of Year 2016 American adults and Year 2019 American adults, who put off medical treatment due to cost.

1) There must be at least 10 observed successes and 10 observed failures in the sample from population 1.

3) There must be at least 10 observed successes and 10 observed failures in the sample from population 2.

Step-by-step explanation:

Hello!

You have two variables of interest:

X₁: Number of that had to put off medical treatment due to cost during 2016.

n₁= 967 people surveyed

sample proportion p'₁= 184/967= 0.19

X₂: Number of that had to put off medical treatment due to cost during 2019.

n₂= 1015 people surveyed

p'₂= 253/1015= 0.25

The pooled sample proportion is

To study the population proportion you have to apply the Central Limit Theorem to approximate the distribution of the sample proportion to normal, the conditions for a valid approximation are:

Sample size n ≥ 30

n₁= 967

n₂= 1015

n*p'≥10 (each sample contains at least 10 successes)

n₁*p'₁= 967*0.19= 183.73

n₂*p'₂= 1015*0.25= 253.75

n*(1-p')≥10 (each sample contains at least 10 failures)

n₁*(1-p'₁)= 967*0.81= 783.27

n₂*(1-p'₂)= 1015*0.75= 761.25

1) There must be at least 10 observed successes and 10 observed failures in the sample from population 1.

3) There must be at least 10 observed successes and 10 observed failures in the sample from population 2.

I hope it helps!

I need help with this question

_______________________________________________
1)  72 cm² / min.  ;
_______________________________________________
2)  192  cm² / min.
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Explanation:
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Area of a circle:  A =  r² ;

Rate of change of Area is:  da/dt = 2 r (dr/dt) ;

Given:  dr/dt = 3 cm / min.
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Problem 1)
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dA/dt = 2  *(12 cm)*(3 cm/ min) = 72  cm² / min. ;
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Problem 2)
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dA/dt = 2  *(32 cm)*(3 cm/ min) = 192   cm² / min.
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