Answer:
First Option: cos(x)
Step-by-step explanation:
What is given is csc(x) = 14/10
The graph lies in the first quadrant since 0 < x < pi/2
Create a triangle:
The length across is 14
The adjacent is 10
The length of the shorter side is root 96
Use the pythagorean theorem
BC^2 = 14^2 - 10^2
BC^2 = 196 - 100, 96
BC^2 = root 96/14
Recall SOH-CAH-TOA
Adjacent over Hypotenuse is cos
That is how the answer is cos(x)
Answer:
%41.25
Step-by-step explanation:
80 - 47 = 33
33 divided by 80
convert to percentage
Answer:
455
Step-by-step explanation:
295-x=-160
-x=-160-295
-x=-455
x=455
Answer:
a. P(X<5)=0.729
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>"The port of South Louisiana, located along miles of the Mississippi River between New Orleans and Baton Rouge, is the largest bulk cargo port in the world. The U.S. Army Corps of Engineers reports that the port handles a mean of 4.5 million tons of cargo per week. Assume that the number of tons of cargo handled per week is normally distributed with a standard deviation of 0.82 million tons.</em>
<em>a. What is the probability that the port handles less than 5 million tons of cargo per week (to 4 decimals)."</em>
We can solve this using the z-score.
We have a normal distribution with mean 4.5 and standard deviation 0.82.
The z-score for X=5 is:
Then, the probability that X<5 is: