The table and the graph below each show a different relationship between the same two variables, x and y: a table with two columns and 5 rows is shown. the column head for the left column is x, and the column head for the right column is y. the row entries in the table are 4,100 and 5,125 and 6,150 and 7,175. on the right of this table is a graph. the x-axis values are from 0 to 10 in increments of 2 for each grid line. the y-axis values on the graph are from 0 to 300 in increments of 60 for each grid line. a line passing through the ordered pairs 2, 60 and 4, 120 and 6, 180 and 8, 240 is drawn. how much more would the value of y be on the graph than its value in the table when x = 12? 20 30 60 70

correct answer:

b.(19,-2)

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

step-by-step explanation:

reee