The second
6+(7×2)-10 = 10
20-(5×3)+12 = 17
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:
a) x-4+9
b) x-2
For part b, I am not 100% sure about my answer, but I am sure about part a.
The decay rate should have units, it should be negative and it should be 100 times smaller than what you posted.
k = -.000124 / years
k = -.000124 / years
Half-Life = ln (.5) / k
Half-Life = -.693147 / -.000124
Half-Life =
<span>
<span>
<span>
5589.8951612903
</span>
</span>
</span>
Half-Life =
5,590 (rounded)
elapsed time = half-life * log(bgng amt / end amt) / log(2)
elapsed time = 5,590 * log(10) /
<span>
<span>
<span>
0.3010299957
</span>
</span>
</span>
elapsed time = 5,590 * 1 / <span>
<span>
0.3010299957
</span>
</span>elapsed time =
<span>
<span>
<span>
18,569 years
</span></span></span>Source:
http://www.1728.org/halflife.htm
Answer:
<h3>Percentage change = 19%</h3>
Step-by-step explanation:
Since the new price is lesser than the original price the percentage change will be a decrease.
To find the percentage change use the formula

To find the change subtract the new price from the original price
new price = $199.95
original price = $246.95
Change = $246.95 - $ 199.95 = $47

<h3>Percentage change = 19%</h3>
Hope this helps you