Let's come up with an equation for the numbers. We know that there are 136 faculty members, and there are 6 professors for every 11 lecturers. The equation could look something like this:
(6 * x) + (11 * x) = 136.
First, combine like terms:
6x + 11x = 136
17x = 136
Now, divide both sides by 17.
17x/17 = 136/17
x = 8.
Now, to check, plug in 8 for x in our equation:
(6 * 8) + (11 * 8) = 136
48 + (11 * 8) = 136
48 + 88 = 136
So to answer the question, they have 48 professors! :)
Answer: B
Step-by-step explanation: A=πr2
The formula for calculating the area of a circle is A = πr2 where pi (π) equals 3.14 and the radius (r) is half the diameter.
You must times 5 by 5 because of exponents and then times it by pie
5 times 5 = 25
25 times pie is 78.5
Answer:
76
Step-by-step explanation:
Answer:
0.02275
Step-by-step explanation:
We use this z score formula to solve for this question
z-score is is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
From the above question,
x = 77
μ = 75
σ = 7
number of samples = 49
Hence, the z score = 77 - 75/ (7/√49)
= 2/(7/7)
= 2/1
= 2
Hence, the z score = 2
Using the z table to find probability
P(x<77) = 0.97725
P(x>77) = 1 - P(x<77)
= 1 - 0.97725
= 0.02275
Therefore, the probability that the same mean will be larger than 77 years
is 0.02275
For this case we must find the solution of the following quadratic equation:
Where:
Then, the solution is given by:
Substituting the values:
By definition we have:
Thus, we have two complex roots.
Answer:
The equation has no real roots.
