Answer: The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.
Step-by-step explanation:
The standard deviation of the sampling distribution = 
, where p= population proportion and n = sample size.
Let p be the proportion of fish in a river are catfish.
As per given , we have
p= 0.47
n= 25
The, the standard deviation of the sampling distribution will be 
The 10% condition : Sample sizes should be no more than 10% of the population.
But a river can have more than 250 fish [where 10% of 250 =25 (sample size)]
i.e. The 10% condition is met because it is very likely there are more than 250 fish in the river.
So the correct answer is "The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river."
Your answer would be <span><span><span><span>5−7</span>+6</span>−3</span>−1</span>−<span>(<span>−8</span>) = 8</span>
Answer:
parallel 2/3 slope
perpendicular -3/2
Step-by-step explanation:
in parallel lines the slope is the same
perpiticula lines are the opposite recipical
Answer:
The radius is decreatsing at a rate 0.78 cm per second.
Step-by-step explanation:
We are given the following in the question:
Instant radius,r = 2 cm
Instant length,l = 9cm
The radius of the cylinder decreases.
Volume of cylinder =
Since the volume of the cylinder does not changes, we can write:
Rate of change of volume:
Puttiung values, we get
Thus, the radius is decreatsing at a rate 0.78 cm per second.
Answer:
2.814 * 10^14
Step-by-step explanation:
For exponential growth:
A = A0*e^kt
A = final amount ; A0 = initial amount ; t = time
Since bacterium doubles ever half hour ;
In 1 hour number of bacterium will be 2² = 4
Hence
Final amount after 1 hour
4 = 1*e^k*1
4 =e^k
Take In of both sides
In(4) = k
Number of bacterium in 24 hours
A = 1*e^In4 * 24
A = e^24In4
A = e^33.271064
A = 281474976710656
A = 2.814 * 10^14
