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: Yes, He bicycled fewer in this week than last week.
Step-by-step explanation:
Let he bicycled x hours in the last week,
Then, According to the question,
Hence, He bicycled fewer in this week than last week.
Answer:
c)3/2(8/7)^x
Step-by-step explanation:
Evaluate the functions.
1. Because 7/4 > 1 and the exponent is positive,
the function does not decay.
2.Because 4/5 < 1 and the exponent is negative,
the function does not decay.
3. Because 8/7 > 1 and the exponent is negative,
the function decays.
4. Because 9/2 > 1 and the exponent is positive,
the function does not decay.
A composite plot the functions verifies the answer.
If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger. That's because the base is greater than 1 and the x is negative.
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I can’t do it rn so just dm me later
Answer:
Step-by-step explanation:
<u><em>First time drawing:</em></u>
Total outcome is 8
Favorable outcome is 2
The probability that the first marble drawing in random is blue is
= 
<u><em>Second time drawing (with no replacement): </em></u>
Total outcome is 7 (8 - 1 = 7)
Favorable outcome is 2
The probability that the second marble drawing in random is yellow is
<em>The probability that the first marble is blue and the second marble is yellow is</em> × = 
=
