There would be 173,535 lionfish after 6 years.
Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:
- A)
- 8000 x 1.67 ^ n = f
- B)
- 8000 x 1.67 ^ 6 = X
- 8000 x 21.691961596369 = X
- 173,535.692770952 = X
- C)
- (8000 - 1200 x 1 ^ n) x 1.67 ^ n = f
Therefore, there would be 173,535 lionfish after 6 years.
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Answer:
Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds
Step-by-step explanation:
State the null hypothesis
H0: u = 60against the claim
Ha u≠ 60 (this is a two tailed test)
Sample size n= 36
Sample mean=X`= 55
Population mean = u= 60
The significance level α = 0.05
Standard deviation= Sd = 22 seconds
Z= X`- u / Sd /√n
Z= 55- 60 / 22/√6
z= - 5/22/6
Z= -1.3635
The value of z from the table is Z∝/2= ±1.96
The critical region is less than - 1.96 and greater than 1.96.
Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds
Answer:
A = 10.5%
B = 28.9%
C = 39.5%
D = 18.4%
F = 2.6%
Step-by-step explanation:
Add all the frequencies together = 38
- 4/38 × 100 = 10.5%
- 11/38 × 100 = 28.9%
- 15/38 × 100 = 39.5%
- 7/38 × 100 = 18.4%
- 1/38 × 100 = 2.6%
10.5 + 28.9 + 39.5 + 18.4 + 2.6 = 100%
Answer: 0.7
Step-by-step explanation: use calculator XD
Step-by-step explanation:
8x-3x = 18-3(like terms)
or,5x = 15
or,x=15/5
or,x=3
