Answer:
Probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.
Step-by-step explanation:
We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.
<em>Let X = incomes for the industry</em>
So, X ~ N(
)
Now, the z score probability distribution is given by;
Z = 
~ N(0,1)
where, 
= mean income of firms in the industry = 95 million dollars
= standard deviation = 5 million dollars
So, probability that a randomly selected firm will earn less than 100 million dollars is given by = P(X < 100 million dollars)
P(X < 100) = P( < 
) = P(Z < 1) = 0.8413 {using z table]
Therefore, probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.
Answer:
Step-by-step explanation:
step 1
Find the length side a
Applying the law of cosines
substitute the given values
step 2
Find the measure of angle B
Applying the law of sines
substitute the given values
step 3
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
substitute the given values
Answer:
743008370688? or the 12¹¹
Step-by-step explanation:
H = height of triangle
b = length of triangle base
A = area of triangle
Recall the formula for area of a triangle :
A = 1/2 bh
Plug in what was given in the problem :
h = b - 5
A = 42
A = 1/2 bh
42 = 1/2 b (b-5)
Answer:
Here it is. I recommend using desmos graphing calculator online! :)
