Answer:
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Top 5%:
X when Z has a pvalue of 0.95. So X when Z = 1.645
Bottom 5%:
X when Z has a pvalue of 0.05. So X when Z = -1.645
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
Answer:
2.60 hours
Step-by-step explanation:
A hose fills a hot tub at a rate of ,
2.09 gallons ⇒ 1 minute
Now we have to find the time which takes to fill a 327 gallon hot tub.
For that, let the unknown time be x.
So,
2.09 gallons ⇒ 1 minute
327 gallon ⇒ x
Use cross multiplication to find the value of x.
2.09 x = 327 × 1
2.09x = 327
x = 327 ÷ 2.09
x = 156.45 min
Therefore, it takes 156.45 minutes.
But the question is asked for hours.
So,
Let us solve now.
156.45 ÷ 60 = 2.60 hours
Let me know if you have any other questions :-)
<span>In order to calculate compounded interest, we use the formula: Final amount = initial amount x (increase rate)^(time periods). We know that the interest rate is 6%, so the factor we multiply by is 1.06. Moreover, the interest is compounded twice per year. This means that there will a total of 2 x 10 = 20 time periods over which the amount is compounded. Therefore, the final amount works out to be: Final amount = 200(1.06)^20, which is equivalent to $641.</span>
Answer:
Sulio needs 28 feet of fencing
Step-by-step explanation:
P= 2l + 2w
Length- 8 ft
Width- 6 ft
Use formula with the given:
2(8) + 2(6)
= 16 + 12
= 28
Therefore, Sulio needs 28 feet of fencing
Hope this helps
