∑ from 1 to infinity of 12(3/5)^(i - 1)
Since the common ratio is less than 1, the series is convegent. [i.e. 3/5 < 1]
Sum to infinity of a geometric series is given by a/(1 - r); where a is the first term, and r is the common ratio.
Sum = 12/(1 - 3/5) = 12/(2/5) = 30.
Each piece of ribbon will be 6.1 yards long hope this helped ;D
Answer: Esy the answer is; C.
Step-by-step explanation:
The higher the negative value the less or lower the number is.
CONFUSING Right? XD
Answer:
C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.
Step-by-step explanation:
From the given information;
A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate.
A random sample is usually an outcome of any experiment that cannot be predicted before the result.
SO;
One plan is to select 400 voters, another plan is to select 1,600 voters
If the study were conducted repeatedly (selecting different samples of people each time);
Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion. This is because a sample proportion deals with random experiments that cannot be predicted in advance and they are quite known to be centered about the population proportion.
Answer:
5 feet
Step-by-step explanation:
The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation,

where y is the height above water and x is the horizontal distance in feet.
If a beam of light is shone upward at an angle modeled by the equation

A beam of light hit the dolphin.
So, line must be intersect path of dolphin.
Using substation method,
Substitute y=10-x into dolphin equation.





Hence, The beam hit dolphin at 5 feet.