Answer and Step-by-step explanation: The graph is shown in the attachment.
a. ΔR on [1,2] is mathematically expressed as:
ΔR = R(2) - R(1)
which means difference of population of rabbits after 2 months and after 1 month.
R(2) = 
![\Delta R = 100[\frac{4}{5} - \frac{2}{5} ]](https://tex.z-dn.net/?f=%5CDelta%20R%20%3D%20100%5B%5Cfrac%7B4%7D%7B5%7D%20-%20%5Cfrac%7B2%7D%7B5%7D%20%5D)
40
Difference of rabbits between first and second months is 40.
b. R(0) = 100(
)
R(0) = 0
Initially, there no rabbits in the population.
c. R(10) = 
R(10) = 400
In 10 months, there will be 400 rabbits.
d. R(t) = 500
t = 12.5
In 12 and half months, population of rabbits will be 500.
Answer:
a. z-score = -1.2
b. The age 23 years old is -1.2 standard deviations below the mean
c. The age is not unusual
Step-by-step explanation:
a. Transformation to z-score
Mathematically;
z-score = (x - μ)/σ
where σ and μ are the standard deviation and the mean respectively.
From the question, x = 23, μ = 27.2 and σ = 3.5
Let’s put these into the equation;
z-score = (23-27.2)/3.5 = -1.2
b. Interpretation of result
The interpretation is that 23 years old is -1.2 standard deviations below the mean
c. Determination
The age is not unusual. This is because any z-value below -2 or above 2 is considered unusual
-1.2 is above -2 and thus it is not unusual
Answer:
Larger angle: 104 degrees
Smaller angle: 76 degrees
Step-by-step explanation:
(9x+5) + (6x+10) = 180
x = 11
Answer:
the answer is 6992
Step-by-step explanation:
All you have to do is subtract 18697 from 25689:
25689-18697= 6992
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24/100 simplified is 6/25
