Answer:
1. 0.1635
2. 0.0026
Step-by-step explanation:
The computation of the probability in the following cases are as follows:
1.
Given that
Mean = 25 minutes
ANd, the standard deviation is 6.1 minutes
So here the z score would be
= (31 - 25) ÷(6.1)
= 0.98
Now the probability is
= P(Z>0.98)
= 0.1635
2. the z score would be
= (8 - 25) ÷(6.1)
= -2.79
Now the probability is
= P(Z<-2.79)
= 0.0026
Answer:
The cost of extracting the first 50 tons of copper is $151,000.
Step-by-step explanation:
Start-up costs of $150,000.
For the 50 tons of cooper.

So

1 thousand dollars.
So
$150,000 + $1,000 = $151,000
The cost of extracting the first 50 tons of copper is $151,000.
Answer:
Step-by-step explanation:
The distance from Ship B to the signal fire at point C is 
Explanation:
It is given that two ships A and B are at a distance 140 ft from each other.
The angle formed by ship A is 82º and the angle formed by ship B is 78º.
To determine the distance from ship B to the signal fire at point C, we need to know the another angle.
Hence, we have,

Now, we shall solve the problem using the law of sines,

Substituting the values, we have,


Simplifying, we get,


Thus, the distance from Ship B to the signal fire at point C is 
Answer:
See how X looks similar to a obtuse angle? The angle looks an awful lot like it's around 40 degrees though, it seems to be an acute angle, they are less than 90* so anything near 90 should make sense. I'd say exactly 45.
Step-by-step explanation: