Answer:
The percentage increase in bird population in the second years is 4% .
Step-by-step explanation:
Given as :
During two years, the population of birds of an island became 7 times more than before.
The the percentage increase in first year = = 
=40%
Let The percentage increase in second year = 
= r%
So, According to question
The initial population of bird = x
The increase population of bird =7 times before = 7 x
Now,
The increase population of bird = initial population of bird × (1+ 
) × (1+ 
)
Or, 7 x = x × (1+ 
) × (1+ 
)
Or, 
= 1.4 × (1+ )
Or, 7 = 1.4 × (1+ )
Or, 
= (1+ )
Or, 5 = (1+ )
Or, (1+ ) = 5
Or, = 5 - 1
Or, = 4
∴ r = 4 × 100
I.e r = 400
so, The percentage increase = r% = 4
Hence The percentage increase in bird population in the second years is 4% . Answer
Answer:
a. P(X=50)= 0.36
b. P(X≤75) = 0.9
c. P(X>50)= 0.48
d. P(X<100) = 0.9
Step-by-step explanation:
The given data is
x 25 50 75 100 Total
P(x) 0.16 0.36 0.38 0.10 1.00
Where X is the variable and P(X) = probabililty of that variable.
From the above
a. P(X=50)= 0.36
We add the probabilities of the variable below and equal to 75
b. P(X≤75) = 0.16+ 0.36+ 0.38= 0.9
We find the probability of the variable greater than 50 and add it.
c. P(X>50)= 0.38+0.10= 0.48
It can be calculated in two ways. One is to subtract the probability of 100 from total probability of 1. And the other is to add the probabilities of all the variables less than 100 . Both would give the same answer.
d. P(X<100)= 1- P(X=100)= 1-0.1= 0.9
Answer:
$3364.65
Step-by-step explanation:
The volume of the cone is given by the formula ...
V = (1/3)πr²h
Filling in the given numbers, we find the volume to be ...
V = (1/3)π(1.5 m)²(7 m) = 5.25π m³ ≈ 16.49336 m³
The cost of the rice will be the product of this volume and the price per cubic meter:
cost = (16.49336 m³)($204/m³) = $3364.65
The cost of the rice necessary to fill the volume is $3364.65.
_____
<em>Comment on pi</em>
If you use the value 3.14 for pi, the cost comes to $3362.94. A 3-digit value of pi only gives an answer good in its first 3 digits.
a)
n years =$125000+($125000×6.5%)×n
b)
$125000+($125000×6.5%)×23
=???
