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2 years ago

Total number of faculty is 136. There are 6 professors to every 11 lecturers. How many professors are there

Mathematics

1 answer:

laila [671]2 years ago

3 0

Answer:

The Total number of Professors = 48

Step-by-step explanation:

Given as,

The total number of Faculty = 136

And the Ratio of Professors to Lecturers = 6 Ratio 11

Now According to question

Professors : Lecturers = 6 : 11

So, Let the Number of Professors = 6x

And The Number of Lecturers = 11x

∴ 6x + 11x = 136

Or, 17x = 136

Or, x = $\frac{136}{17}$ = 8

Hence, the number of Professors = 6 × 8 = 48 Answer

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Is (1,-4) a solution to the equation y=-2x?<br> Yes or no? Please help /:

Elden [556K]

No it is not, the solution would need to be (2,-4) in order to satisfy the equation y = -2x -- like so -4 = -2(2)

-4 = -4, otherwise the equation won't be satisfied.

4 0

2 years ago

Read 2 more answers

Find the value.<br> 9x+6 when x=-2/3

OLEGan [10]

Answer:

Step-by-step explanation:

Given,

$- \frac{2}{3}$

Now, let's find the value of 9x + 6

$9x + 6$

plug the value of X

$= 9 \times (- \frac{2}{3} ) + 6$

Multiplying a positive and negative equals a negative

$( + ) \times ( - ) = ( - )$

$= - 9 \times \frac{2}{3} + 6$

Reduce the number with Greatest Common Factor 3

$= - 3 \times 2 + 6$

Multiply the numbers

$= - 6 + 6$

The sum of two opposites equals 0

$= 0$

Hope this helps..

best regards!!

7 0

2 years ago

A person traveling from Seattle to Sydney has three airlines to choose from. 40% of travelers choose airline A, and this airline

dalvyx [7]

Answer:

46.67% probability that they flew with airline B.

Step-by-step explanation:

We have these following probabilities:

A 40% probability that a traveler chooses airline A.

A 35% probability that a traveled chooses airline B.

A 25% probability that a traveler chooses airline C.

If a passenger chooses airline A, a 10% probability that he arrives late.

If a passenger chooses airline B, a 15% probability that he arrives late.

If a passenger chooses airline C, a 8% probability that he arrives late.

If a randomly selected traveler is on a flight from Seattle which arrives late to Sydney, what is the probability that they flew with airline B?

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

What is the probability that the traveler flew with airline B, given that he was late?

P(B) is the probability that he flew with airline B.

So $P(B) = 0.35$