Abox contained 1,500 marbles; 600 were red and the others, blue. the fol- lowing procedure was repeated many times. one hundred draws were made at random with replacement from the box; the number of red marbles among the draws was counted. the first 10 counts were 38, 35, 37, 31, 36, 39, 36, 33, 30, 34. is anything fishy? answer yes or no, and explain.

Step-by-step explanation:

The theoretical probability of drawing  a red marble is 600/1500

= 2/5 or 40%

So in a draw of 100 you would expect about 40 red marbles to be drawn.

The average of th first 10 counts is  35   which is 5 lower than the  expected value.

I would say there is something fishy with this as they are consistently below the 40 .

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!