In probability 2 events are independent if the occurrence of 1 event does not affect the occurrence of the other event. Mathematically, if event A and event B are independent, then 
. For our two events in this problem we have that 
and 
. If these two events are independent, then we should have that,
.A and B are independent events if the probability of A and B is 0.1
<u>Part</u><u> </u><u>(</u><u>a</u><u>)</u>
<u>Part</u><u> </u><u>(</u><u>b</u><u>)</u>
The answer is c, b/c...
20+(4/3)x=2x
-(4/3)x -(4/3)x
20=(2/3)x
20/(2/3)=(2/3)x/(2/3)
A: 30=x
Well, negative slope has the word negative in it right? So, it will be the negative number. Answer: -5 (negative 5)
9514 1404 393
Answer:
-101 feet
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relevant relation is ...
Tan = Opposite/Adjacent
Opposite = Adjacent × Tan
height = (0.5 × 5280 ft) × tan(47°) ≈ 2831 ft
__
The usual relation between estimates and errors is ...
error = estimate - actual
Then ...
actual = estimate - error
For the given angle and error, the actual angle is ...
actual angle = 47° -(-1°) = 48°
actual height = (2640 ft)·tan(48°) ≈ 2932 ft
Then the change in the height of the mountain due to the error is ...
2831 ft -2932 ft = -101 ft
The error of -1° in angle estimate creates an error of -101 ft in the height estimate.
