Answer:
Step-by-step explanation:
The number of samples is large(greater than or equal to 30). According to the central limit theorem, as the sample size increases, the distribution tends towards normal. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 22199
σ = 5300
n = 30
the probability that a senior owes a mean of more than $20,200 is expressed as
P(x > 20200)
Where x is a random variable representing the average credit card debt for college seniors.
For n = 30,
z = (20200 - 22199)/(5300/√30) =
- 2.07
Looking at the normal distribution table, the probability corresponding to the z score is 0.0197
P(x > 20200) = 0.0197
Answer: 5-13i
Step-by-step explanation:
Answer:
- <em>The larger merry-go-round's platform is </em><u> 151m² </u><em> larger than the smaller merry-go-round's platform.</em>
Explanation:
The<em> area </em>of a round shape is equal to the area of a circle.
The formula for the area of a circle is:
Then, use that formula for each merry-go-round.
<em><u>1. First merry-go-round</u></em>
<em />
- radius = diameter / 2 = 13m / 2 = 6.5m
- area = π (6.5m)² = 3.14 × (6.5m)² = 132.665m²
<em><u>2. Second merry-go-round</u></em>
- area = π (9.5m)² = 3.14 × (9.5m)² = 283.385m²
<u />
<u>3. Difference of the areas</u>
<u />
- Larger area - smaller area = 283.385m² - 132.665m² = 150.72m²
- Round to the nearest whole number: 151m².
Hence, the larger merry-go-round's platform is 151m² larger than the smaller merry-go-round's platform.
Hi there!
To solve this problem, we need to divide 324 by 24:
324 / 24 = 13.5
Since you can't make half of a group, the answer is 13 groups.
Hope this helps!
Answer:
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