Answer:
Step-by-step explanation:
Given that an automatic machine is set to fill bags of dog food with exactly 25 pounds on average with a standard deviation of 0.5 pounds.
Sample size = n =100
x bar = 24.85 pounds
Sample std error = 
Hypotheses:

(Two tailed test at 5% level)
Mean difference =0.15
Test statistic = mean diff/se = 3
Since population std dev is known z test can be used
p value =0.0000
Since p <0.05 we find that the bag does not contain exactly 25 pounds.
We can solve this problem by dividing 9/12 by 2/12. We should do this because to find how many sets of something are in a number, the question is asking us to do division. Doing this, we get 9/12 * 12/2, giving us our answer of 4.5 sets of 2/12 in 9/12.
The answer is D because if you get the same answers from each shape that is congruent
Answer:
3)
, 
Step-by-step explanation:
Given that the explicit rule for a sequence is
.
Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.
1)
, 
2)
, 
3)
, 
4)
, 
Plug n=1 into given formula to get first term


base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term
Hence correct choice is: 3)
, 
Answer is 73 over 36...in a decimal its 2.03