Answer:
Let the coordinate of focus be 
As per the statement: The base of an auditorium is in the form of an eclipse 200 feet long and 100 feet wide.
⇒Length of Major axis=base of an auditorium = 200 feet and Length of a minor axis=wide of a auditorium = 100 ft
Semi-major axis (a) = 100 ft and
semi-minor axis(b) = 50 ft
Then, by an equation:
Solve for c:
Substitute the given values we have;
Simplify:
or
ft
Distance between the foci is, 
Therefore, the distance between the foci to the nearest 10th of a foot is, 173.2 ft
Answer:
0.15%
Step-by-step explanation:
We have been given that IQ scores have a bell-shaped distribution with a mean of 97 and a standard deviation of 12. We are asked to find the percentage of IQ scores that are greater than 133 using the empirical rule.
First of all, we will find z-score for given sample score of 133 as z-score tells us a data point is how many standard deviation away from mean.
, where,
= Z-score,
= Sample score,
= Mean,
= Standard deviation.
We know that according to the empirical rule 68% of data lies within one standard deviation of mean, 95% of data lies within two standard deviation of mean and 99.7% of data lies within one standard deviation of mean.
Since 133 is 3 standard deviation above mean, so 0.3% lies above and below 3 standard deviation.
Since we need IQ scores above 133, so we will divide 0.3% by 2 as:
Therefore, 0.15% of IQ scores are greater than 133.
no real solutions
The conditions for the discriminant are
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then no real solutions
Exponentiate the log or In because Exponentials are inverses of Logs and lns.
Answer:
The first option. See attachment.
Step-by-step explanation:
Explained on attached image.
