Bill has 6 markers in a backpack. one of them is purple and one is blue. find the probability bill will reach into the backpack without looking and grab the purple marker and then reach in a second time and grab the blue marker. express your answer as a fraction in simplest form.

Step-by-step explanation:

His chances of getting the purple one are 1/6

His chances of getting the blue one after drawing the purple one and not replacing are 1/5

The probability of both happening are 1/6 * 1/5 = 1/30

17) just take the root of 100. the text says its square(d).

10m

And checking it gives 10m * 10m = 100m²

18) you need to learn some square numbers to ace this topic. it isn't that complicated, just multiply natural numbers with themselves

like

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

Now we can see that a) sqrt(55) lies between 7 and 8, and that its value is somewhere in between

7 < a < 8

(ignoring the negative solution to the root oc)

try b, c and d yourself. if you struggle, leave a comment.

I got a problem finding exercises 19 to 21, seriously

22) well...

a * b = 18ft²

6ft * 3ft seems just right. pure guesswork here, seems to be to easy with these numbers.

but we can also write it as a system of two functions

a * b = 18ft²

a = 2b

and then solve it by substituting a in line one with 2b, since a is 2b this is allowed.

2b * b = 18

2 b² = 18

b² = 9

b = 3

(we ignore -3 as a solution bc negative length makes no sense)

plugging that b into line two of the system gives

a = 2 * 3

a = 6

27) rationale can we written as a ratio (a fration)

it almost sounds too simply

rationals are either the root of square numbers, bc they can be solved cleanly, or they got a repeating pattern after the point.

b and c apply to these rules, a and d not

30) lol, I just figured out where the missing exercises are hidden XD

31) just add up the three rectangles (easy part) with the two triangles top and bottom each triangle is just 12m * 16m / 2 (bc it's a triangle, not a rectangle). since you got two triangles you just multiply by two (it's like ignoring the decision. also, the two triangles together would indeed make just a n9ce rectangle).

if you really need the values, leave a comment, but that will not help you in any test.

you can also post your solutions and I'll check them.

32) area of the circle times two

plus area of a rectangle wrapped around the cylinder.

circle are is pi*r² -> pi * (28 in)²

(remember to double for two circles)

rectangle is the circumference of the circle (pi * 28in) times the height of the cylinder

like in 31), feel free two post your results or ask for values if you really struggle to grasp the pattern here.

hope you have a great day and that you understand some more of the topic. you can ace it :)