25 markers in a bag: 5 red, 5 yellow, 5 blue, 5 green, 5 purple One marker is drawn out of the bag, then put back in. How many times would you expect a blue marker to be picked in 80 draws?

16

Step-by-step explanation:

From the question, we are informed that there are 25 markers in a bag: 5 red, 5 yellow, 5 blue, 5 green, 5 purple and that one marker is drawn out of the bag, then put back in.

The probability of picking a blue marker will be: = 5/25 = 1/5

Therefore, the number of times that a blue marker will be expected to be picked in 80 draws would be:

= 1/5 × 80

= 16 times

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72