Answer:
The answer to your question is Katie had 15 rocks and Oliver 45 rocks.
Step-by-step explanation:
Conditions
Katie has x amount of rocks
Oliver has 3x amount of rocks
The final amount of rocks
Oliver = 3x + 75
Katie = x + 105
Now, they have the same amount of rocks, then we can equal both equations
3x + 75 = x + 105
Solve for x
3x - x = 105 - 75
2x = 30
x = 30/2
x = 15
Conclusions
At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks
Answer:
a) P=0.558
b) P=0.021
Step-by-step explanation:
We can model this random variable as a Poisson distribution with parameter λ=1/500*2000=4.
The approximate distribution of the number who carry this gene in a sample of 2000 individuals is:

a) We can calculate that the approximate probability that between 4 and 9 (inclusive) as:


b) The approximate probability that at least 9 carry the gene is:



Answer:
3a -2
Step-by-step explanation:
2-(-3a+4)
Distribute the minus sign to each term inside the parentheses
2 - -3a -4
2 + 3a -4
Combine like terms
2-4 +3a
-2 +3a
We usually put the variables first
3a -2
Answer:
Rectangle
Step-by-step explanation:
Direct variation is of the form y=kx (inverse variation is of the form y=k/x)