Answer:
fourth option
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Thus
f(x) = (x - 11)³ ← has been translated right by 11 units
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus
f(x) = (x - 11)³ + 4
represents a translation 11 units right and 4 units up
One equivalent fraction for 4/21 could be 8/42.
Answer:
m = 1/3
Step-by-step explanation:
This refers to the "denominator" of a fraction. By definition, the denominator tells you how many you need to have of an equal part in order to create a whole. The numerator tells you how much of those equal parts you have.
Answer: z= -1.636
Step-by-step explanation:
When population standard deviation is known, then the test statistic is given by :-
, where 
= sample mean, 
= population mean, n=sample size , 
= standard deviation
As per given,
Hence, the e test statistic to see whether the candy bars are smaller than they are supposed to be : z= -1.636
