Gabriella went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 45 grams of sugar and each bottle of juice has 30 grams of
sugar. Gabriella purchased 3 more bottles of juice than bottles of soda and they all
collectively contain 540 grams of sugar. Graphically solve a system of equations in
order to determine the number of bottles of soda purchased, z, and the number of
bottles of juice purchased, y.

The contents of 3838 cans of coke have a mean of x¯¯¯=12.15x¯=12.15. assume the contents of cans of coke have a normal distribution with standard deviation of σ=0.12.σ=0.12. find the value of the test statistic zz for the claim that the population mean is μ=12.μ=12.

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?

The volume of a sphere is increased by 6%. calculate the corresponding percentage increased in it area.