Step-by-step explanation:
Neal prepared 3 meals each day. He prepared 27 meals in all. What equation represents the number of days
2 answers:
You might be interested in
Answer:
4.18% probability that less than 80% of this sample will devote work time to follow games
Step-by-step explanation:
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
In this question, we have that:
So
What is the probability that less than 80% of this sample will devote work time to follow games?
This is the pvalue of Z when X = 0.8. So
By the Central Limit Theorem
has a pvalue of 0.0418
4.18% probability that less than 80% of this sample will devote work time to follow games
Answer:
2 pi, -2 pi, pi, -pi
Step-by-step explanation:
Draw a unit circle and label the 4 points where it intersects the x/y axis. for example at 0 degrees or 360/-360 degrees the (x,y) or (cosine theta, sine theta) value is (1,0).
