You roll a​ six-sided die 35 times and land on an ace​ (a one) 5 times. you want to test the hypothesis that the die does not come up with an ace​ one-sixth of the time. determine the null hypothesis.

answer:   2.95% decrease

step-by-step explanation:

first, find the unit price of the original cereal and the new cereal.   then use those values to find the percent change.

answer:

153.2 gallons per day

step-by-step explanation:

to find out how much water he used each day, take the amount of water he used and divide by the number of days

1072.4 gallons / 7 days

153.2 gallons per day

answer:

probability that both cans were regular soda =  

step-by-step explanation:

probability =

we are given 12 total number of cans; 4 cans have been accidentally filled with diet soda.

probability that first can is a regular soda:

outcome that first can is a regular soda will give us the number of regular soda available which are 4

using formula of probability

total possible outcomes are, n(total) = 12

desired outcome: 4 (cans of regular soda)

p(1st can) =   =

probability that 2nd can is a regular soda:

as we have already taken a can of regular soda from the pack, the total soda in the pack now 11 and the regular soda left are 3.

total possible outcomes are, n(total) = 11

desired outcome: 3 (cans of regular soda as one has already been taken)

p(2nd can) =  

probability that both cans are regular soda:

p(both) = p(1st can) × p(2nd can)

              =

              =

answer:

you have worked cut out for you but have a good day : )

step-by-step explanation: