Shifting to left mean adding the number from each occurrence of x from the given function.
So, shifting x³ , 3 units to left will result in:
f(x) = (x + 3)³
Shifting down means subtracting the number from the function value.
So, shifting 2 units down will result in:
f(x) = (x + 3)³ - 2
Therefore, option A is the correct graph
Answer:
(a) Test statistic is -2.85 and p-value is 0.0022
(b) Reject the null hypothesis. The population mean of dissolved oxygen content is not equal to 10 mg/L
Step-by-step explanation:
H0: mu equals 10
Ha: mu not equals 10
The test is a two-tailed test because the alternate hypothesis is expressed using not equal to
(a) Test statistic (z) = (sample mean - population mean) ÷ (sd/√n) = (9.14 - 10) ÷ (2/√44) = -0.86 ÷ 0.302 = -2.85
Cumulative area of the test statistic = 0.9978
p-value = 2(1 - 0.9978) = 2(0.0022) = 0.0044
(b) The critical value using 0.02 significance level is 2.422. For a two-tailed test, the region of no rejection of the test statistic lies between -2.422 and 2.422.
Conclusion:
Reject the null hypothesis because the test statistic -2.85 falls outside the region bounded by the critical values -2.422 and 2.422.
The population mean of dissolved oxygen content is not equal to 10 mg/L
Compare to standard equation of SHM
Here
Well the above one are for extra knowledge .
Solution:-
So.
Answer: f(x) is just a fancy way of writing y in an equation
Step-by-step explanation:
Example: f(x)= 2x+4 is the same as y= 2x+4
It is A for sure lemme know it u need anything else:D
