Consider the following hypothesis test: h0: 20 ha: < 20 a sample of 55 provided a sample mean of 19.5. the population standard deviation is 1.8. a. compute the value of the test statistic (to 2 decimals). b. what is the p-value (to 3 decimals)? c. using = .05, can it be concluded that the population mean is less than 20? d. using = .05, what is the critical value for the test statistic? e. state the rejection rule: reject h0 if z is the critical value. f. using = .05, can it be concluded that the population mean is less than

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

answer: the answer is 127 degrees

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.