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3 years ago

Is the following argument valid?

Mathematics

2 answers:

cestrela7 [59]3 years ago

3 0

I believe the answer is A! I hope that's correct! :)

Travka [436]3 years ago

3 0

A. The argument is valid by inductive reasoning

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In how many ways can a

Tomtit [17]

Answer:

The answer is 364. There are 364 ways of choosing a recorder, a facilitator and a questioner froma club containing 14 members.

This is a Combination problem.

Combination is a branch of mathematics that deals with the problem relating to the number of iterations which allows one to select a sample of elements which we can term "<em>r</em>" from a collection or a group of distinct objects which we can name "<em>n</em>". The rules here are that replacements are not allowed and sample elements may be chosen in any order.

Step-by-step explanation:

Step I

The formula is given as

$C (n,r) = \frac{n}{r} = \frac{n!}{(r!(n-r)!)}$

n (objects) = 14

r (sample) = 3

Step 2 - Insert Figures

C (14, 3) = $(\frac{14}{3})$ = $\frac{14!}{(3!(14-3)!)}$

= $\frac{87178291200}{(6 X 39916800)}$

= $\frac{87178291200}{239500800}$

= 364

Step 3

The total number of ways a recorder, a facilitator and a questioner can be chosen in a club containing 14 members therefore is 364.

Cheers!

6 0

3 years ago

Which variable expression represents the phrase “the quotient of 5 times a number and 2”?

bezimeni [28]

Answer:

5x/2

Step-by-step explanation:

Say the mystery number is "x"

5 times that = 5 * x = 5x

Then the quotient (that means the result of division, so divide!) of that and 2 would give you: 5x/2

3 0

2 years ago

A certain solution of salt water is 10% salt and weighs 50 pounds. more salt must be added to produce a solution that is 25% sal

Semenov [28]

Answer

7.5 pounds

Step-by-step explanation:

Since adding x grams of salt will bring th percentage of the salt to 25

Hence. 10% of the 50 gram gives. 5 gram initial salt before it is added.

5+ x/ 50 * 100= 25/

5+x /50 = 0.25

5+x = 12.5

X= 12.5- 5

X= 7.5pounds

8 0

3 years ago

Solve x2 + 12x + 6 = 0 using the completing-the-square method.

exis [7]

X^2+12x+6=0 subtract 6 from both sides...

x^2+12x=-6 halve linear coefficient, square it, and add it to both sides...

x^2+12x+36=30 now the left side is a perfect square...

(x+6)^2=30 take square root of both sides...

x+6=30^(1/2) subtract 6 from both sides...

x=-6-30^(1/2) and -6+30^(1/2)

7 0

3 years ago

15/21 in its simplest form?

garri49 [273]

Answer:

5/7

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers