Style color regular light blue loose fit indigo boot cut washed slim fit black blue a. how many possible pairs of jeans are there if each pair has one style and one color? b. suppose you have one pair of jeans of each possible style and color in the table. what is the probability of choosing a pair of black jeans at random?

Answers: a) 20; b) 1/5

Explanation:

1) Start making clear the data in the table.

There are four different styles: regular, loose fit, boot cut, and slim fit.

There are five different colors: light blue, indigo,washed, black, and blue.

2) Question a:  How many possible pairs of jeans are there if each pair has one style and one color?

Since you can combine every style with every color, you can just use counting principle: the combinations of m and n equals m × n.

So, 4 × 5 = 20.

And the answer is that there are 20 possible pais.

3) Question b. Suppose you have one pair of jeans of each possible style and color in the table. What is the probability of choosing a pair of black jeans at random?

i) Probability = number of positive events / number of possible events

ii) Positive events: 4 (because there is one black jean of each style)

iii) Possible events: 20 (the 20 different pairs)

iv) Probability = 4 / 20 = 1 /5

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.