Answer:
182 feet
Step-by-step explanation:
The equation that describes the motion of the hot air ballon is:
where:
is the initial altitude
v is the rate of descend of the balloon
t is the time
The balloon starts from a height of
and has a rate of descend of
Therefore, after time
t = 12 min
Its altitude will be
Answer:
a. The sample size is approximately 97 adults
Step-by-step explanation:
The given parameters are;
The number of adults surveyed, n = 174
The lowest value of the pulse rate = 39 bpm
The highest value of the pulse rate = 111 bpm
The level of confidence used for determining the sample size = 90%
The given sample mean = 3 pm of the population mean
a. The range rule of thumb states that the standard deviation is approximately one quarter (1/4) of the range
The range = 111 bpm - 39 bpm = 72 bpm
Therefore, the standard deviation, σ = 72 bpm/4 = 18 bpm
The sample size, 'N', is given as follows;
Where;
N = The sample size
z = The confidence level, 90% (z-score at 90% = 1.645)
p·q = σ² = 18² = 324
e² = 3² = 9
Therefore the appropriate sample size, N ≈ 97 adults.
Answer:
Anne is the best hitter as she has the best hitting average of 0.406
Step-by-step explanation:
Anne hits 65 bases out of 160 at - bats.
Beth's betting average = 0.399
Collin's hit = 40%
Now, we need to convert all the three hitting rates into same parameters to compare them with each other.
Average hit rate of Anne =
⇒The betting average of Anne = 0.406
Now, The hit - rate of Collin = 40%
Converting the percentage rate into decimal, we get the hit rate of Collin
=
Hence, we get that Hitting Average of :
<u>Anne = 0.406</u>, Beth = 0.3999 and Collin = 0.400
Hence, from the above data Anne is the best hitter as she has the best hitting average of 0.406.
