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sp2606 [1]
3 years ago
12

A professor gives his students 9 essay questions to prepare for an exam. Only 3 of the questions will actually appear on the exa

m. How many different exams are possible?
Mathematics
1 answer:
Talja [164]3 years ago
4 0

Answer: 84

Step-by-step explanation:

The total number of the questions is 9

Possible question is 3

This is combination

Therefore n=9 and r=3

Combination formula=n! / ((n-r)! r!)

9C3=9! /((9-3)! 3!)

=362880 /(6! 3!)

=362880/4320

=84

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3 years ago
A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after
Lelu [443]

Answer:

Option A; 74.3 feet

Step-by-step explanation:

~ Here we can see that this problem is set to be so that compound interest is applied ~

1. If compound interest is to be applied, it would be that the "20 percent" is the interest, the principle number ( start value ) ⇒ 12 feet in height, and the time is 10 years.

2. Let us approach this problem step by step. Instead of substiting values into a compound interest formula, let us simply attempt a variation of that process...

3. 20 percent is, in a decimal form, ⇒ 0.2

4. Now add 1 to this value 0.2, to get ⇒ 1.2

5. If we were to consider the formula, 1.2 would first be exponentially multiplied by itself 10 time, considering that it is to the power of 10 years. In other words ⇒ 1.2^10 = 6.191736422..........

6. Now let us multiply this infinite value 6.19...... by the principle quantity 12 feet ⇒ 6.191736422.......... * 12 = <em>(About) 74.30083707.......</em>

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6 0
3 years ago
AB is tangent to circle D. Find the value of x.
Svet_ta [14]

Answer:

c     15

Step-by-step explanation:

Tangent AB is tangent to circle D at point A. The angle made by a tangent to a circle and a radius of the circle at the point of tangency is a right angle. That means that angle is a right angle, and triangle ABD is a right triangle.

We can use the Pythagoren theorem.

a^2 + b^2 = c^2

x^2 + 20^2 = (x + 10)^2

x^2 + 400 = (x + 10)(x + 10)

x^2 + 400 = x^2 + 10x + 10x + 100

400 = 20x + 100

20x = 300

x = 15

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3 years ago
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valina [46]

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Step-by-step explanation:

y2-y1/x2-x1

12-2/5-3

10/2

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