Answer:
0.0778 = 7.78% of the population are considered to be potential leaders
Step-by-step explanation:
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.
Mean of 580 and a standard deviation of 120.
This means that
What proportion of the population are considered to be potential leaders?
Proportion of those who exceed 750, that is, 1 subtracted by the vpalue of Z when X = 750.
has a pvalue of 0.9222
1 - 0.9222 = 0.0778
0.0778 = 7.78% of the population are considered to be potential leaders
Answer:
The correct option is F.
Step-by-step explanation:
A parameter is a single numerical value describing a certain characteristic of the entire population. It is computed using the population values. For example, population mean, population variance, etc.
A statistic is also a numerical value that defines certain characteristic of a sample. It is computed using the sample values. For example, sample mean, sample variance, etc.
Here the mean score for all the 50 students in the midterm Math exam is computed as 88.
This mean value is a parameter because it is computed using the entire population of 50 students in the math class,i.e. all the population values were included in the calculation of mean 88.
Thus, the correct option is F.
not including the widht of each pole, Check the picture below.
Answer:
50
Step-by-step explanation:
the angles in a triangle will add up to 180 degrees
For the marigolds
M = 150(0.85)^x where x is the number of months
For sunflowers
S = 125 - 8x where x = number of months
Part B
after 3 months there are 150(0.85)^3 = 92 marigolds
after 3 moths there are 123 - 8*3 = 99 sunflowers
Part C
There are the same number of plants when the 2 functions are equal:-
So we have 150(0.85)^x = 125 - 8x
solving this for x is not straight forward . it could be done by drawing 2 graphs and seeing where they intersect.
They come close to being equal after 2 months and after 14 months
Check out the graph on
www.desmos.com/calculator/i3m55hb2i3