The formular for an exponential population growth is given by
![P(t) = P_0(1 + r)^t](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P_0%281%20%2B%20r%29%5Et)
where: r is the rate per period, t is the time and
![P_0](https://tex.z-dn.net/?f=P_0)
is the initial population.
Comparing the above formular with the given formula we have
![s(1.35)^t=s(1+0.35)^t \\ \\ r=0.35\ or\ 35%](https://tex.z-dn.net/?f=s%281.35%29%5Et%3Ds%281%2B0.35%29%5Et%20%5C%5C%20%20%5C%5C%20r%3D0.35%5C%20or%5C%2035%25)
Therefore, the <span>equivalent quarterly growth rate of the geckos is 8.75%.</span>
Hi There!
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Baseball Bats:
43 x 0.45 = $19.35 as the amount off.
43 - 19.35 = $23.65 with the discount.
23.65 x 2 = $47.3 for two bats.
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Glove:
28 x 0.25 = $7 as the amount off.
28 - 7 = $21 with the discount.
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Together:
21 + 47.3 = $68.3 as the total before taxes.
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With Taxes:
68.3 x 0.055 = $3.7565 as the tax amount.
68.3 - 3.7565 = $64.5435
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Answer:
Not Rounded: $64.5435
Rounded: $64.54
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Hope This Helps :)
Answer:
The probability is 0.5438
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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:
![\mu = 0.8599, \sigma = 0.0519](https://tex.z-dn.net/?f=%5Cmu%20%3D%200.8599%2C%20%5Csigma%20%3D%200.0519)
a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8542g.
This is 1 subtracted by the pvalue of Z when X = 0.8542. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{0.8542 - 0.8599}{0.0519}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B0.8542%20-%200.8599%7D%7B0.0519%7D)
![Z = -0.11](https://tex.z-dn.net/?f=Z%20%3D%20-0.11)
has a pvalue of 0.4562
1 - 0.4562 = 0.5438
The probability is 0.5438
Answer:
5
Step-by-step explanation:
[6²-4(6)+1]-[3²-4(3)+1]/6-3 =5
Answer:
Step-by-step explanation:
1. A therapist
2. Strong mental will
3. pencil
4. paper
5. calculator (if allowed)
1. Never trust math
2. x and y are your worst enemies
3. Bring LOTS of paper
4. y=mx+b
1. Don't cheat
2. x is a variable
3. Don't get overly frustrated
One kid got so mad, he started swearing and bashing the book against the table. He got taken out into the hallway where he proceded to punch lockers causing a few teachers to pop their heads out to see if he was alright.