In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e. g., 32 is treated as 032). the table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings. digit frequency 0 33 1 17 2 25 3 30 4 31 5 28 6 24 7 25 8 32 9 25 total 270 click here for the excel data file (a) calculate the chi-square test statistic, degrees of freedom, and the p-value. (perform a uniform goodness-of-fit test. round your test statistic value to 2 decimal places and the p-value to 4 decimal places.) test statistic d. f. p-value (b) choose the correct answer by drawing a bar chart for the above data. (you may select more than one answer. click the box with a check mark for the correct answer and double click to empty the box for the wrong answer.) the graph will reveal that 4 and 7 occur the most frequently. the graph will reveal that 2 and 5 occur the least frequently. the graph will reveal that 1 occurs least frequently. the graph will reveal that 0 and 8 occur the most frequently. (c) at α = .05, we cannot reject the hypothesis that the digits are from a uniform population. true false

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200