Answer:
The approximate probability that the mean of the rounded ages within 0.25 years of the mean of the true ages is P=0.766.
Step-by-step explanation:
We have a uniform distribution from which we are taking a sample of size n=48. We have to determine the sampling distribution and calculate the probability of getting a sample within 0.25 years of the mean of the true ages.
The mean of the uniform distribution is:
The standard deviation of the uniform distribution is:
The sampling distribution can be approximated as a normal distribution with the following parameters:
We can now calculate the probability that the sample mean falls within 0.25 from the mean of the true ages using the z-score:
Answer:
(3/4)a
Step-by-step explanation:
The angle at K is 120°, so the angle at L is its supplement: 60°. That makes triangle FKL an equilateral triangle with a base of FL = a. The vertex at K is centered over the base, so is a/2 from G.
The midsegement length is the average of GK and FL, so is ...
midsegment = (GK +FL)/2 = (a/2 +a)/2
midsegment = (3/4)a
Answer:
The experiment design used in this case is the between-subjected design.
Step-by-step explanation:
Between-subject design is a sort of experimental design where the individuals of an experiment are allocated to varied situations, with each individual being treated with only one of the experimental conditions.
In this case three similar ecosystems are designed containing a variety of insects and plants. Then each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks.
Then after two weeks period they measured how successful the species were in each ecosystem.
The experiment design used in this case is the between-subjected design.
Answer:
f(x) crosses the x-axis, then
f(x)=(x+4)^6(x+7)^5 = 0
=> x+4 =0 or x+7=0
=> x =-4 or x = -7
