Answer:
(a) The confidence interval is: 0.0304 ≤ π ≤ 0.0830.
(b) Upper confidence bound = 0.0787
Step-by-step explanation:
(a) The confidence interval for p (proportion) can be calculated as
NOTE: π is the proportion ot the population, but it is unknown. It can be estimated as p.
For a 95% two-sided confidence interval, z=±1.96, so
The confidence interval is: 0.0304 ≤ π ≤ 0.0830.
(b) The confidence interval now has only an upper limit, so z is now 1.64.
The confidence interval is: -∞ ≤ π ≤ 0.0787.
The answer is 367,500 yards
Answer:
x = 2
Step-by-step explanation:
- You would find a value of y to plug into either of the equations. For example, I chose the equation 2x - y = 6. When I set it equal to y, I got y = 2x - 6
- Now that I know what y is equal to, I plugged it into the second equation to get 5x + 10 (2x - 6) = -10
- You then would calculate for x.
- Your end result should be x = 2, which is the point that the two equations intersect
This works because the two equations are set equal to each other, making them share a common value between them.
You can also plug both of these equations into a graphing calculator, and on the graph select the command to calculate the intersection.
Hope this helped!
It will take 2.2 hours for the trains to meet.
Step-by-step explanation:
Given,
Distance between two trains = 396 miles
Speed of one train = 95 mph
Speed of other train = 85 mph
Combined speed of trains = 95+85 = 180 mph
Distance = Speed * Time
Time = 
Time = 
Time = 2.2 hours
It will take 2.2 hours for the trains to meet.
Keywords: speed, distance
Learn more about distance at:
#LearnwithBrainly
You're going to use cross multiplication.
1 gal x 21 miles = 25miles x x
21 miles = 25x
Divide each side by 25 to get x alone
21/25 = 0.84, which is your x value.
