The first hole of a golf course is 250 metres long. A golfer hits her drive exactly 250 m,
1 answer:
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Answer:
And we can solve for and we got:
And we can solve for and we got:
So then the coordinates for B are (3,8)
Step-by-step explanation:
For this case we know that the midpoint for the segment AB is (2,5)
And we know that the coordinates of A are (1,2)
We know that for a given segment the formulas in order to find the midpoint are given by:
And we can solve for and we got:
And we can solve for and we got:
So then the coordinates for B are (3,8)
Answer:
Option B
Step-by-step explanation:
To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,
y = 8x
If we insert x = 0 we get,
y = 8(0)
y=0
but in the table it says we get 14 so option A is incorrect
Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,
and so on so Option B is the answer
Answer:
a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.
b) 0.4129 = 41.29% probability that the mean return will be less than 8%
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, 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.
Mean 8.7% and standard deviation 20.2%.
This means that
40 years:
This means that
(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?
This is 1 subtracted by the pvalue of Z when X = 13. So
By the Central Limit Theorem
has a pvalue of 0.9115
1 - 0.9115 = 0.0885
0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.
(b) What is the probability that the mean return will be less than 8%?
This is the pvalue of Z when X = 8. So
has a pvalue of 0.4129
0.4129 = 41.29% probability that the mean return will be less than 8%