Answer: (a) 19448 ways
(b) 5292 ways
(c) 0.2721
Step-by-step explanation:
(a) 10 county council members be randomly elected out of the 17 candidates in the following ways:
= 
= 
= 
= 19448 ways
(b) 10 county council members be randomly elected from 17 candidates if 5 must be women and 5 must be men in the following ways:
we know that there are 7 women and 10 men in total, so
=
× 
=
× 
= 21 × 252
= 5292 ways
(c) Now, the probability that 5 are women and 5 are men are selected:
= 
= 
= 0.2721
Answer: a plumber earns $50 each day and a helper earns $30 each day.
Step-by-step explanation:
Let x represent the amount that a plumber earns in a day.
Let y represent the amount that a helper earns in a day.
One day, four plumbers and five helpers earned $350. This means that
4x + 5y = 350 - - - - - - - - - - -1
At the same rate of pay, another group of five plumbers and six helpers earned $430. This means that
5x + 6y = 430 - - - - - - - - - - - - 2
Multiplying equation 1 by 5 and equation 2 by 4, it becomes
20x + 25y = 1750
20x + 24y = 1720
Subtracting, it becomes
y = 30
Substituting y = 30 into equation 1, it becomes
4x + 5 × 30 = 350
4x + 150 = 350
4x = 350 - 150
4x = 200
x = 200/4 = 50

<h2>
Explanation:</h2>
Here we have the following expression:

A Perfect Square Trinomial is given by the form:

So matching terms, we can conclude that:

So, substituting c into the expression:

It is a perfect square because:

<h2>Learn more:</h2>
Quadratic Equation in real life problems: brainly.com/question/10278062
#LearnWithBrainly
Hey there mate :)
These are the answers. Attached in uploaded two picture. Please check.
~ Benjemin360