Answer:
A issue with economics is when options become difficult due to resource shortage. People have limitless desires, but there are only so many ways to fulfill them. Individuals' freedom of choice affects society as a whole as well.
Explanation:
IF THE DIAMETER A CIRCLE . FIND ITS CIRCUMFERENCE . CALCULATOR'S VALUE OF . ROUND ANSWER TO THE NEAREST TENTH
The circumference of the circle is approximately 31.4 units.
To find the circumference of a circle, you need to know its diameter. The formula to calculate the circumference (C) of a circle is:
C = πd
Where π (pi) is a mathematical constant approximately equal to 3.14159, and d represents the diameter of the circle.
To find the circumference, you can multiply the diameter by π.
For example, if the diameter of the circle is 10 units:
C = π x 10
C ≈ 3.14159 x 10
C ≈ 31.4159
Rounding the answer to the nearest tenth, the circumference of the circle is approximately 31.4 units.
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In a family of 5 children what is the probability of have 1 boy and then 4 girls in any order. (Exclude multiple births and assume all outcomes)
The probability of having a boy and a girl in this order would be given as 0.02857
How to solve for the probabilityProbability is a branch of mathematics that deals with the study of randomness and uncertainty. In statistics, probability is used to describe the likelihood or chance of an event occurring.
In particular, probability can be used to quantify the chances of different outcomes in a random experiment or event. A random experiment is a process that generates different outcomes, but the outcome of any single trial cannot be predicted with certainty.
There are two choices for each birth. That is a boy and girl
we have 2 ^ 5 = 32
the probability of having a boy and a girl in this order would be
1 / 32
= 0.03125
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If an investment decreases 1% the first year, 6% the second year and 9% the third year, what is the "average" percent decrease?
Answer:
The average percent decrease over the three years is 15.42%
Explanation:
To find the average percent decrease, we need to find the overall percent decrease over the three years. Let's assume we start with $100.
After the first year, the investment decreases by 1%, which means we are left with $100 - 0.01($100) = $99.
After the second year, the investment decreases by 6%, which means we are left with $99 - 0.06($99) = $93.06.
After the third year, the investment decreases by 9%, which means we are left with $93.06 - 0.09($93.06) = $84.58.
The overall percent decrease can be calculated by finding the difference between the starting value of $100 and the final value of $84.58, which is $100 - $84.58 = $15.42.
To find the average percent decrease, we divide this difference by the starting value and multiply by 100 to get:
($15.42/$100) x 100 = 15.42%
Therefore, the average percent decrease over the three years is 15.42%.
Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled, 487 were in favor, 402 were opposed, and 122 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the 122 subjects who said that they were unsure, and use a 0.05 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5. What does the result suggest about the politician's claim? Identify the null and alternative hypotheses for this test. Choose the correct answer below.
A study was conducted to estimate the mean age when people buy their first new car. The ages of purchase for 22 randomly selected people are given below. Assume the ages are approximately normally distributed. Use Excel to determine the 99% confidence interval for the mean. Round your answers to two decimal places and use increasing order.
The 99% confidence interval for the mean will be 21.45 ± 2.12.
How to calculate the confidence intervalFrom the information, the study was conducted to estimate the mean age when people buy their first new car. The ages of purchase for 22 randomly selected people.
Mean = 472 / 22 = 21.4545
Sample Standard deviation = √ ( 259.4552 / 22 -1 ) = 3.515
Critical value= 2.8314 ( From t table )
21.4545 ± t(0.01/2, 22 -1) * 3.515/√(22)
Lower Limit = 19.33
Upper Limit = 21.4545 + t(0.01/2, 22 -1) 3.515/√(22)
Upper Limit = 23.58
99% Confidence interval is ( 19.33 , 23.58 )
Where data is in the range of I7:I28
Margin of error = = 2.12
AVERAGE(I7:I28) = 21.45
21.45 ± 2.12
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Answer: (19.33, 23.57)
Explanation:
Use Excel to calculate the 99% confidence interval, where α=0.01 and n=22.
1. Open Excel and enter the given data in column A. Find the sample mean, x¯, using the AVERAGE function and the sample standard deviation, s, using the STDEV.S function. Thus, the sample mean, rounded to two decimal places, is 21.45 and the sample standard deviation, rounded to two decimal places, is 3.51.
2. Click on any empty cell, enter =CONFIDENCE.T(0.01,3.51,22), and press ENTER.
3. The margin of error, rounded to two decimal places, is 2.12. The confidence interval for the population mean has a lower limit of 21.45−2.12=19.33 and an upper limit of 21.45+2.12=23.57.
Thus, the 99% confidence interval for the mean is (19.33, 23.57).
Paul Walker, the former lead actor in the Fast and Furious series, once said, ""On the
California Motor Speedway I was coming into the rst turn and I was doing just over 180
miles an hour. Suddenly, there was a serious vibration in the front right tire and it blew
out. I almost went into the wall. That would've been bad."
Which subdivision of the nervous system would have been activated as the tire blew out
and his car drifted towards the wall and why?
The sympathetic nervous system controls how quickly and automatically the body reacts to risky or stressful situations. A transient hormone rush raises alertness and heart rate in the body, which improves blood flow to the muscles.
When the body is in normal or relaxed mode, what subdivision of the autonomic nervous system is activated?Your parasympathetic nervous system, a network of nerves, relaxes your body after stressful or harmful situations. It facilitates the operation of systems that keep life possible.
How does the somatic nervous system function when it is engaged?Below the neck, your somatic nervous system communicates with your spinal cord, which sends messages to your brain movement management. To assist you in moving around, your body's muscles depend on signals that provide them instructions.
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Recommend three practical ways in which you asa school going youth could establish good communication with teacher.
Establishing good communication with your teacher is an important part of succeeding in school, and here are three practical ways to achieve this:
Attend class regularly and participate in class discussions: One of the best ways to establish good communication with your teacher is to attend class regularly and actively participate in class discussions. This will demonstrate your interest in the subject and show your teacher that you are invested in your education.
Ask questions and seek clarification: If you don't understand a concept or need further clarification, don't be afraid to ask questions. Asking questions can help you gain a better understanding of the subject matter, and it also shows your teacher that you are engaged in the learning process.
Communicate respectfully and professionally: Whether you are communicating with your teacher in person or via email, it's important to be respectful and professional in your interactions. This means using appropriate language, maintaining a positive attitude, and showing gratitude and appreciation for your teacher's help and guidance.
By attending class regularly, participating in class discussions, asking questions, seeking clarification, and communicating respectfully and professionally, you can establish good communication with your teacher and build a positive and productive relationship that will help you succeed in school.
When I have an ? in something, it is easy to learn.
When I have an interest in something, it is easy to learn.
How can interest affect learning?When you approach learning with a passive or disinterested attitude, it can be difficult to retain information or apply it in real-world situations.
So embracing your natural curiosity and actively seeking out answers to your questions is a great way to make learning easier and more enjoyable as you already have a genuine interest in it and would want to learn more about it.
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a laundry bag contains 6 brown socks and 4 black socks, find the probability of picking a 2 brown socks, if the first sock is returned in the bag before the second sock is picked
The probability of picking a brown sock on the first draw is 6/10. Since the sock is returned to the bag, the number of socks and the number of brown socks remains the same for the second draw, so the probability of picking a brown sock on the second draw is also 6/10.
The probability of picking two brown socks is the product of the probabilities of picking a brown sock on the first draw and on the second draw, which is:
P(2 brown socks) = P(brown on first draw) * P(brown on second draw)
= 6/10 * 6/10
= 36/100
= 0.36
Therefore, the probability of picking two brown socks, if the first sock is returned in the bag before the second sock is picked, is 0.36 or 36%.
What is the t-statistic?
In statistics, the t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error. It is used in hypothesis testing via Student's t-test. The t-statistic is used in a t-test to determine whether to support or reject the null hypothesis.
In a family of 5 children what is the probability of have 1 boy and then 4 girls in that order. (Exclude multiple births and assume all outcomes)
Assuming that the probability of having a boy or a girl is equal (i.e., 0.5), the probability of having 1 boy and 4 girls in that order in a family of 5 children can be calculated as follows:
P(1 boy, 4 girls) = P(boy) x P(girl) x P(girl) x P(girl) x P(girl)
where P(boy) is the probability of having a boy and P(girl) is the probability of having a girl.
Therefore, we have:
P(1 boy, 4 girls) = 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.5^5
= 0.03125 or 3.125%
So, the probability of having 1 boy and 4 girls in that order in a family of 5 children is 3.125%.
Using the following stem & leaf plot, find the five number summary for the data by hand.
1|2 7
2|4 5 5
3|4 5
4|6 6 6 8
5|0 5 6 9 9
6|1 5
Min = Incorrect
Q1 = Incorrect
Med = Incorrect
Q3 = Correct
Max = Incorrect
The minimum data, first quartile, median, third quartile, and maximum make up the five-number summary. A box is drawn from the first quartile to the third quartile in a box plot.
A five-number summary definition and illustrationThe five values in a summary are the median, the lower and upper quartiles, the maximum and minimum values in the data set. Minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value are all listed together in this sequence.
In order, the data are:1, 2, 4, 4, 5, 5, 5, 6, 6, 6, 8, 0, 5, 6, 9, 9, 1, 5
Therefore, the five number summary is:
Minimum: 0
Q1: 5
Median: 6
Q3: 9
Maximum: 9
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some particular website, the password must start with A or B there must be 5 more characters, and each of the characters may be a numeric digit or letter of the alphabet how many diffrent passwords are possible
Which of the following is a good indication of whether a student will meet an established goal or
benchmark?
Performance level
Probe
Benchmark
Rate of growth
Answer:
Explanation:
A good indication of whether a student will meet an established goal or benchmark would be their performance level.
Performance level refers to a student's current level of mastery in a specific skill or subject area. If a student's performance level is at or above the established benchmark, it is likely that they will meet the goal or benchmark. However, if a student's performance level is below the established benchmark, they may require additional support or intervention to reach the desired level of achievement.
Probes and benchmarks can also provide useful information about a student's progress, but they are typically used to assess specific skills or knowledge rather than predicting future success. The rate of growth can also be a helpful indicator, but it should be considered in conjunction with the student's performance level to make a more accurate prediction of future success.