A single card is drawn at random from a standard 52 card deck. Work out in its simplest form: p(3)= P(not 3)=
1 answer:
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We are given :
The ratio of orange juice to pineapple juice in tropical treat punch = 4:3 or 4/3.
Number of oz of orange juice = 64 oz.
Let us assume number of oz pineapple juice does he need = p.
We can setup an proportion:
64 : p = 4 : 3
On cross multiplication we get
64 × 3 = 4 × p
192 = 4p
Dividing both sides by 4, we get
p = 48.
<h3>Therefore, he needs 48 oz of pineapple juice.</h3>Answer:
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is 202500 swordfishes.
Step-by-step explanation:
Let be , the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)
First Derivative Test
Let equalize the resulting expression to zero and solve afterwards:
Second Derivative Test
This means that result on previous part leads to an absolute maximum.
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is:
The maximum sustainable yield is 202500 swordfishes.