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forsale [732]
2 years ago
14

A committee must be formed with 4 teachers and 5 students. If there are 11 teachers

Mathematics
1 answer:
Ivenika [448]2 years ago
7 0

Answer:

11C4 × 11C5

\binom{11}{4}   \times  \binom{11}{5}  =  \frac{11 \times 10 \times 9 \times 8}{4 \times 3 \times 2 \times 1}   \times  \frac{11 \times 10 \times 9 \times 8 \times 7}{5 \times 4 \times 3 \times 2 \times 1}  = 330 \times 462 = 152460

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Please help me!!!!!!!
GrogVix [38]
4x^2 - 30 = 34
4x^2 = 34 + 30
4x^2 = 64
x^2 = 64/4
x^2 = 16
x = sqrt 16
x = -4 and 4......E and F

5 0
4 years ago
Find angle GEH, which is located inside inscribed hexagon ABCDEF.
Zinaida [17]

Answer:

60°

Step-by-step explanation:

Angle GHE = (360/6) ÷ 2 = 30

GEH = 180 - 90 - 30 = 60°

7 0
3 years ago
Question attached,
alexandr1967 [171]

Answer:

Step-by-step explanation:

(a)\\ \\ (i)\ \sqrt{3}=3^p\\ \\ 3^{\frac{1}{2}}=3^p\\ \\ p=\frac{1}{2}\\ \\ (ii)\ \frac{1}{9}=3^q\\ \\ 3^{-2}=3^q\\ \\ q=-2\\ \\ (b)\\ \\ 3^{\frac{1}{2}(3^x)=\frac{1}{9}\\ \\ 3^{\frac{1}{2}+x}=3^{-2}\\ \\ \frac{1}{2}+x=-2\\ \\ x=-1.5

7 0
3 years ago
Which is a counterexample for the conditional statement shown? If three distinct points lie in a plane, then the points can form
lina2011 [118]
<h2>Answer:</h2>

We take the example of:

Three collinear points in a plane.

Then we may conclude that they will never form a triangle.

<h2>Step-by-step explanation:</h2>

We know that a conditional statement is given by:

If p then q

where p is the hypothesis of the statement and q is the conclusion of the statement.

Counter example for a conditional statement--

A counter example is an example that makes the general statement is false.

i.e. a example which fulfills the condition of the hypothesis but does not satisfy the conclusion of the given statement.

  • Here the statement is:

If three distinct points lie in a plane, then the points can form a triangle.

i.e. Hypothesis is: Three distinct point lie in a plane.

and conclusion is: The points form a triangle.

So we take a example as:

Three collinear points lie in a plane but they will never form a triangle.

3 0
3 years ago
Brooke decided to ride her bike from her home to visit her friend Adam. Two miles away from home, her bike got a flat tire and s
Naddika [18.5K]

Answer:

8 miles

Step-by-step explanation:

I'm going to assume the question said that she "couldn't" repair the tire and was forced to walk back home, that makes more sense.

With that in mind:

She rode her bike 2 miles.

She walked 4 miles on the way there, and 6 miles on the way back.

You can deduce that it was a 6 mile walk back because of the 2 mile bike ride, then the 4 mile walk that it took to get there.

All in all that rounds out to 10 mile walking, and 2 mile biking. That is 8 miles more walking than biking.

3 0
3 years ago
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