3.) 2 × 0.5 = 1
4.) -2 × -0.5 = 1
Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:

15.87% of the population does not meet the minimum standards.
We use z-scores to find this probability:
z=(X-μ)/σ = (85-100)/15 = -15/15 = -1
Using a z-table (http://www.-table.com) we see that the area to the left of, less than, this is 0.1587. This is 15.87%.
Answer: The answer is 62.32
Step-by-step explanation:
See attachment
Answer: 11:12 PM.
explanation:
- 10% of 8 is 0.8. (10% is 0.1, and you multiply this by 8)
- multiply 0.8 by 60 so you can get the number of minutes before midnight (this is 48).
- 48 minutes before midnight is 11:12.