6. kathleen needs 240 valid signatures on a petition to get a crosswalk installed on her street. she knows
that about 20% of the signatures will not be valid for a variety of reasons. how many signatures should
kathleen get to make sure she will have enough valid signatures for the crosswalk?

Kathleen must get 300 signatures to make sure she will have enough valid signatures for the crosswalk

Solution:

Given that Kathleen needs 240 valid signatures on a petition to get a crosswalk installed on her street

She knows  that about 20% of the signatures will not be valid for a variety of reasons

Let "x" be the number of signatures

invalid signature = 20 % of x

valid signatures = 240

Then, according to question,

total number of signatures - invalid signatures = 240

x - 20 % of x = 240

Therefore, she must get 300 signatures so that she will have enough valid signatures for the crosswalk

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12