Answer:
E. -1.48
Step-by-step explanation:
The test statistic is:

In which X is the sample mean,
is the expected value,
is the standard deviation and n is the size of the sample.
A market research analyst claims that 32% of the people who visit the mall actually make a purchase.
This means that:


You stand by the exit door of the mall starting at noon and ask 82 people as they are leaving whether they bought anything. You find that only 20 people made a purchase.
This means that 
The value of the test statistic is about:



So the correct answer is given by option E.
Answer:
x=-3
Step-by-step explanation:
Answer: 1 1/3
Step-by-step explanation: 12/3 is 4, so if there are 4 slices remaining (since they ate 2/3 already). Dividing the remaining 4 among them means each person gets 1 1/3 of the remaining 4 slices
Answer:
First, plug-in x and y as 3sinθ-2 and 3cosθ+4 into the equation, respectively:

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

We can factor out 3^2 = 9 from both equations:

We know from a trigonometric identity that
, meaning we can reduce the equation to:


And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sinθ-2 and y=3cosθ+4.
Hope this helped you.
Answer:
2:A number is greater than 17.2
Step-by-step explanation:
the ">" in the inequality represents is greater
so the m> means m is greater than... and then the 17.2 means m is greater than 17.2. The way I learnt it was to imagine the ">" sign is like a crocodile, it wants the bigger number. So the ">" being towards the "m" shows that m is the bigger number.