2a-8a=12-8a
now add 8a to both side and you get
2a= 12
divide both sides by 2 and you get
a=6
Because the lines are parallel, 75 is equal to 11x-2
75=11x-2
77=11x
x=7
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.
Solve. To solve this equation, you must change the divide sign into a multiplication sign.
To do so, change it into a multiplication sign, and flip the second fraction
(5/12)/(2/11) = 5/12 x 11/2
Multiply across
5/12 x 11/2 = 55/24
55/24, or 4 7/12
hope this helps
<em>~Rise Above the Ordinary</em>