Solve for u in (7 + u)^2 - (5 + u)^2 = 6v
u = 3(v - 4)/2
Substitute u = 3(v - 4)/2 into (2 - v)^2 - (6 - v)^2 = 4u
8v - 32 = 6(v - 4)
Solve for v in 8v - 32 = 6(v - 4)
v = 4
Substitute v = 4 into u = 3(v - 4)/2
u = 0
Therefore,
<u>u = 0</u>
<u>v = 4</u>
Volume = Length x Width x Height
V= 7.5 ft x 4.2 ft x w fr
The width is 2 as listed.
V= 7.5ft x 4.2ft x 2ft
V=63
Answer:
The minimum number of drivers you would need to survey is 601.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
The margin of error is:
95% confidence level
So , z is the value of Z that has a p-value of , so .
What is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.04?
The number is n for which M = 0.04.
We don't have an estimate for the proportion, so we use . Then
Rounding up:
The minimum number of drivers you would need to survey is 601.
Answer:
{x| 43 ≤ x ≤ 47} where x = Sean's speed (in mph)
Step-by-step explanation:
Sean is taking driver's ed. The instructor asked him to stay within 2 miles of the posted speed limits. The current speed limit is 45 mph.
So, the maximum speed which Sean can reach is, (45 + 2) mph
=47 mph
and, the minimum speed which Sean can reach is, (45 - 2) mph
=43 mph
so, {x| 43 ≤ x ≤ 47} where x = Sean's speed (in mph)
X^2 + 9y^2 = 25
x^2/5^2 + (3y)^2/5^2 = 1
This represent an equation of an ellipse with cente at the origin, the horizontal major axis running from -5 to 5 and vertical minor axis running from -5/3 to 5/3
The third graph is the correct answer.