Answer:
(a) The probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.
(b) The probability that a sample mean is between 158.6 and 159.2 is 0.0411.
Step-by-step explanation:
Let the random variable <em>X</em> follow a Normal distribution with parameters <em>μ</em> = 155.4 and <em>σ</em> = 49.5.
(a)
Compute the probability that a single randomly selected value lies between 158.6 and 159.2 as follows:
*Use a standard normal table.
Thus, the probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.
(b)
A sample of <em>n</em> = 246 is selected.
Compute the probability that a sample mean is between 158.6 and 159.2 as follows:
*Use a standard normal table.
Thus, the probability that a sample mean is between 158.6 and 159.2 is 0.0411.
Since you're given the base for the perimeter of the rectangle, you can solve this question quickly.
First, you multiply 21 by 2, because there are two bases to a rectangle.
You'll get 42, and you will have to do 60-42 to find the perimeter for the remaining two sides.
60-42 will give you 18, so you can divide that by 2 because there are two other sides, giving you 9.
Now you have the side lengths 21 and 9. Area is base*height, so you can multiply 21*9 and get 189.
Therefore, the area of the rectangle is 189 meters
I believe the answer you are looking for is 2 angles
We are given with an initial deposit of $20,000 and a future worth of <span>$35,000. In this case, we are asked for the return of income (ROI) of the investment. in this case, we assume the number of years equal to 1. hence,
</span>$35,000 = <span>$20,000* (1+i) ^1
</span>i or ROI then is equal to 0.75
