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Mashcka [7]
3 years ago
7

Jack lists all of the unique random samples of a certain sample size from a population. He then calculates the mean for each of

these unique random samples. Finally, he calculates a standard deviation of all the sample means. What is the correct notation and name for this standard deviation?
Mathematics
1 answer:
zimovet [89]3 years ago
5 0

Answer:

In this case Jack is only using a part or sample of the total population, so he is doing a sample standard deviation. When you use the total population you are doing a population standard deviation, otherwise, it’s always going to be the sample standard deviation.

Both deviations have different notations. The notation for this type of standard deviation (the one used by Jack) is:

"n" for the number of observations (lowercase)

"x-bar" for the average of the sample

"s" for the standard deviation

"s^2" for the variance

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A certain city's population is 120,000 and decreases 1.4% per year for 15 years.
mart [117]

Answer:

  • Decay Problem.
  • Decay rate,  r = 0.014
  • Initial Amount =120,000
  • P(t)=120000(0.986)^t
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Step-by-step explanation:

The exponential function for growth/decay is given as:

P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

  • Since the population decreases, it is a Decay Problem.
  • Decay rate, r=1.4% =0.014
  • Initial Amount =120,000

Therefore, the function is:

P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t

When t=10 years

P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)

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−6⋅20.1x=−100
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What side is the shortest in the picture?<br><br> A. GF<br> B. DG<br> C. EF<br> D. GE<br> F. DE
igor_vitrenko [27]

Answer:

A. GF

Step-by-step explanation:

The shortest side in a triangle is opposite the smallest angle

<d = 180 -52 -61 =67

The smallest angle is 52 so the smallest side is DG

<f = 180 - 48-85 =50

The smallest angle is 48 so the smallest side is FG

The smallest angle is 48 so the smallest side overall is FG (GF)

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A doctor orders a dosage of 5 ml of medicine every 4 hours for 8 days. How many fluid ounces of medicine should be​ purchased?
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8.11536 fluid ounces should be purchased.
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