Answer:
The standard error of the mean = 5.14 mins
Step-by-step explanation:
Number of random sample (n) = 20
Mean(X) = 31.25 mins
Standard deviation (α) = 23.7 mins
Standard error of mean =
standard deviation / √sample size
= 23.7/√20
= 23.7/4.4721
= 5.14 mins
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Answer: 47/8
Step-by-step explanation: To write a mixed number as an improper fraction, first multiply the denominator by the whole number and then add the numerator. Finally, we will put our new number over our old denominator and we have our answer which is 47/8.
Therefore, 
can be rewritten as the improper fraction 47/8.
Answer:
17.5
Step-by-step explanation:
The following data were obtained from the question:
Angle R = 105°
Side R = r
Side S = 15
Side T = 6
The value of r can be obtained by using cosine rule formula as shown below:
inding sides:
r² = s²+ t² – 2st cos(R)
r² = 15² + 6² – 2 × 15 × 6 × cos105°
r² = 225 + 36 – 180 × cos105°
r² = 261 + 46.587
r² = 307.587
Take the square root of both side
r = √307.587
r = 17.5
Therefore, the value of r is 17.5
