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Sedbober [7]
2 years ago
13

A children's pony ride at a zoo has ponies attached to a carousel pole in the center of a circle that the ponies walk around as

children ride. Suppose the diameter of the circle i 25 feet. How many feet does a pony walk to complete one trip around the circle?
Mathematics
1 answer:
stepladder [879]2 years ago
3 0
We simply need to solve for the circumference of the imaginary circle.

Given:
Diameter = 25 feet.

Circumference = 2 * radius * π             OR     Circumference = diameter * π

C = 25feet * 3.14
C = 78.50 feet

The pony will walk 78.50 feet to complete one trip around the circle. 


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The manager of a paint supply store wants to estimate the actual amount of paint contained in 1​-gallon cans purchased from a na
lorasvet [3.4K]

Answer:

a. 95​% confidence interval estimate for the population mean amount of paint included in a​ 1-gallon can is 0.998±0.0055

b.  <u>No,</u> because a​ 1-gallon paint can containing exactly​ 1-gallon of paint lies <u>within</u> the 95​% confidence interval.

c. Yes.  The population amount of paint per can is assumed normally distributed, because confidence interval calculations assume normal distribution of the parameter.

d. 90% confidence interval is 0.998±0.0046. ​The answer in b. didn't change; 1-gallon paint can containing exactly​ 1-gallon of paint lies <u>within</u> the 90​% confidence interval. The manager <u>doesn't have</u> a right to complain to the manufacturer.

Step-by-step explanation:

Confidence Interval can be calculated using M±ME where

M is the sample mean amount of paint per 1​-gallon can (0.998 gallon)

ME is the margin of error from the mean

And margin of error (ME) can be calculated using the equation

ME=\frac{z*s}{\sqrt{N} } where

  • z is the corresponding statistic in the 95% confidence level (1.96)
  • s is the sample standard deviation (0.02 gallon)
  • N is the sample size (50)

Then ME=\frac{1.96*0.02}{\sqrt{50} }≈0.0055

95% confidence interval is 0.998±0.0055

90% confidence interval can be calculated similary, only z statistic is 1.64.

ME=\frac{1.64*0.02}{\sqrt{50} }  ≈0.0046

90% confidence interval is 0.998±0.0046

8 0
2 years ago
The organic garden at a restaurant is rectangular in shape and has a perimeter of 84 feet. If the length lof the garden is 24 fe
Nadya [2.5K]

Answer: The width of the garden is 18 feet. The area of the garden is 432ft^2.

Step-by-step explanation:

84-24*2=36

36/2=18

18*24= 432

8 0
2 years ago
An object is moving at a speed of 95 kilometers every 7.5 weeks. Express this speed in
Aleksandr-060686 [28]

Answer:

<h2>5,936.76 feet/day</h2>

Step-by-step explanation:

Formula to use to get the speed is expressed as speed = Distance/Time

Given parameters

Distance = 94km

Time = 7.5weeks

Since we are to express the answer in feet per day, we will convert the distance to feet and time to days.

For the distance:

Given the conversion

1 km = 3280.84 feet

95km = (95*3280.84)feet

95km = 311,679.8 feet

For the time:

If 1 week = 7 days

7.5weeks = (7.5 * 7)

7.5weeks = 52.5 days

Speed In ft/day =  311,679.8 feet/ 52.5 days

Speed in ft/day = 5,936.76 feet/day

<em>Hence the speed in feet per day is  5,936.76 feet/day</em>

3 0
2 years ago
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I thing you forfot to ipload the graphs! I see no graphs to choose from, just the question itself! Please provide to graphs in order to help. Thanks
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Next, draw a line of a set height (I tend to use 2 squares in my work) where the median is. Next, draw similar lines, at the same height, for the rest of the values- both quartiles and the maximum values. You can obviously do this in whatever order you like, but that's how I do it.

Next, join up the tops and bottoms of the quartiles, with the median in the middle, and connect the middles of the quartiles to their corresponding minimum or maximum values.

Voila, my friend. You have a box plot.
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2 years ago
Read 2 more answers
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