Karissa rides her bicycle for 4 hours and is 22 miles from her house. After riding for 8 hours, she is
1 answer:
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Answer:
the standard deviation increases
Step-by-step explanation:
Let x₁ , x₂, . . . , x₂₃ be the actual data observed by the student
The sample means = x₁ + x₂ + . . . , x₂₃ / 23
= 2.3hr
⇒
let x₁ , x₂, . . . , x₂₃ arranged in ascending order
Then x₂₃ was 10 and has been changed to 14
i.e x₂₃ increase to 4
Sample mean
therefore, the new sample mean is 2.47
2) For the old data set
the median is values
when we use the new data set only x₂₃ is changed to 14
i.e the rest all observation remain unchanged
Hence, sample median = remain unchange
sample median = 2.5hrs
The Standard deviation of old data set is calculated
The new sample standard sample deviation is calculated as
Now, when we compare (1) and (2) the square distance between each observation xi and old mean is less than the squared distance between each observation xi and the new mean.
Since,
(xi - 2.3)² ∑ (xi - 2.47)²
Therefore , the standard deviation increases
Answer:
units.
Step-by-step explanation:
Let x be the width of rectangle.
We have been given that the length of garden is 2 units more than 1.5 times it’s width. So length of the rectangle will be: .
To find the length of total fencing we need to figure out perimeter of rectangle with width x and length .
Since we know that perimeter of a rectangle is two times the sum of its length and width.
Upon substituting length and width of garden in above formula we will get,
Upon using distributive property we will get,
Therefore, the length of required fencing will be units.