1) in a random survey of students, 152 students could swim and 48 could not.

what is the probability that a student can swim?

2) suppose you spin two spinners, one marked 1 through 4 and the other marked A through E. how many possible outcomes are there?

3) an ice cream store sells 24 different flavors and offers a choice of 3 size of cones and 5 types of sprinkles. how many choices of a cone with sprinkles are there?

1) 152 / 152+48 = 152 / 200 = 19/25, or 76%

2) 4 for the first, multiplied by a-e = 5, so 20

3) 24*3*15 = 1080

I need help with this simplify the expression 6√2/3

you mean (6 sqrt 2 )/3? if so its already simplified to lowest terms

if you meant 6 sqrt(2/3)

then it is = sqrt(36*2/3) = sqrt 24

this is equivalent to 2 sqrt(6)

1) To find the probability that a student can swim, we need to divide the number of students who can swim by the total number of students. In this case, there are 152 students who can swim and a total of 152+48=200 students in the survey.

So, the probability that a student can swim is given by:
Probability = Number of students who can swim / Total number of students
Probability = 152 / 200
Probability = 0.76 or 76%

2) To find the number of possible outcomes when spinning two spinners, we need to multiply the number of outcomes for each spinner. The first spinner has 4 numbers (1 through 4) and the second spinner has 5 letters (A through E).

So, the total number of possible outcomes is given by:
Number of outcomes = Number of outcomes for spinner 1 * Number of outcomes for spinner 2
Number of outcomes = 4 * 5
Number of outcomes = 20

Therefore, there are 20 possible outcomes when spinning two spinners.

3) To find the number of choices of a cone with sprinkles, we need to multiply the number of choices for each component. There are 24 different flavors, 3 sizes of cones, and 5 types of sprinkles.

So, the total number of choices of a cone with sprinkles is given by:
Number of choices = Number of flavors * Number of cone sizes * Number of sprinkles
Number of choices = 24 * 3 * 5
Number of choices = 360

Therefore, there are 360 choices of a cone with sprinkles at the ice cream store.