Answer:
Step-by-step explanation:
Let's call 
the balloon's height above the ground and 
the horizontal distance between the balloon and the first milepost.
If the angle of the depression of this milepost is 24 degrees, we can say the following:
<em>
(equation 1)</em>
For the next milepost, the horizontal distance between the balloon and tihs milepost will be 
and the angle of depression will be 20 degrees, so we can say the following
then, replacing from <em>equation 1</em>
Resolving, we'll find the value of
So, the balloon's height above the ground is 1.99miles
For this problem, let x be the number of children and y for adults. Formulate the equations: 1st equation, x + y = 3,200 and 2nd equation 5x + 9y = 24,000. Re-arrange 1st equation into x = 3200 - y. Then, substitute into 2nd equation, 5(3,200-y) + 9y = 24,000. Then, solve for y. The 16,000 - 5y + 9y = 24000. Final answer is, y = 2000 adults went to watch the movie.
Answer:
Step-by-step explanation:
n + q = 20
.05n + .25q = 3.00
5n + 25q = 300
n + q = 20
5n + 25q = 300
-5n - 5q = -100
20q = 200
q = 10 quarters
n + 10 = 20
n = 10 nickels
(10 nickels, 10 quarters)
Answer:
1900 meters
Step-by-step explanation:
He ran for 850 meters
Walked for 2.75 kilometers, and that's 2.75 * 1000 meters, which is 2750 meters
The total he walked more than he ran is 2750 - 850 = 1900 meters
Answer:
see explaination
Step-by-step explanation:
Here the null hypothesis is that the PCB survives against the alternate that the PCB 'does not survive'. The test says that the PCB will survice if it is classified as 'good'; or, it will not survive if it is classifies as 'bad'.
a. The Type II error is the error committed when a PCB which cannot actually survive is classified as 'good'.
b. Therefore P(Type II error) = P(The PCB is classified as 'good' | PCB does not survives) = 0.03.
