P1 = 10 m²
P2 = 22 m²
P3 = ?
According to Pythagoras' theorem:
P1 + P2 = P3
P3 = 10 m² + 22 m² = 32 m²
What is the measure of angle 7?
1 answer:
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Answer:
a) 68% of the men fall between 169 cm and 183 cm of height.
b) 95% of the men will fall between 162 cm and 190 cm.
c) It is unusual for a man to be more than 197 cm tall.
Step-by-step explanation:
The 68-95-99.5 empirical rule can be used to solve this problem.
This values correspond to the percentage of data that falls within in a band around the mean with two, four and six standard deviations of width.
<em>a) What is the approximate percentage of men between 169 and 183 cm? </em>
To calculate this in an empirical way, we compare the values of this interval with the mean and the standard deviation and can be seen that this interval is one-standard deviation around the mean:
Empirically, for bell-shaped distributions and approximately normal, it can be said that 68% of the men fall between 169 cm and 183 cm of height.
<em>b) Between which 2 heights would 95% of men fall?</em>
This corresponds to ±2 standard deviations off the mean.
95% of the men will fall between 162 cm and 190 cm.
<em>c) Is it unusual for a man to be more than 197 cm tall?</em>
The number of standard deviations of distance from the mean is
The percentage that lies outside 3 sigmas is 0.5%, so only 0.25% is expected to be 197 cm.
It can be said that is unusual for a man to be more than 197 cm tall.
Answer:
or
(simplified)
Step-by-step explanation:
Based on the information provided within the question it can be said that in order to calculate the probability of both grapes being green we need to find the probability of each grape being green separately and then multiply those probabilities together
In the first choice, there are a total of 22 grapes (9+13), 9 of which are green. Therefore the probability of the first chosen grape being green is
In the second choice,since we removed one grape there is now a total of 21 grapes (22-1), 8 of which are green. Therefore the probability of the second chosen grape being green is
Now we multiply both probabilities together to calculate the probability that both grapes are green in a sequence.