Answer:

Do not reject 
Step-by-step explanation:
From the question we are told that
Sample size 
Sample size 
Sample proportion 1 
Sample proportion 2 
95% confidence interval
Generally for 95% confidence level
Level of significance


Therefore

Generally the equation for confidence interval between
is mathematically given as





Therefore
Confidence interval is

Conclusion
Given the confidence interval has zero
Therefore do not reject 
2 Letters chosen among 6 with no repeat:
a) the first has 6 ways
the second has 5 ways
Then to choose 2 letters among 6, with no repeat, there are 6x5 = 30 ways
b) 3 numbers are taken from the digits 0 through 9 with repeats (total = 10)
the first has 10 ways
the second has 10 ways
the third has 10 ways
Then to choose 3 numbers among 10, with repeat, there are 10x10x10= 1000 ways
And the total serial numbers that can be generated is
30 x 1000 = 3000
Answer:

Therefore, option C is true.
Step-by-step explanation:
From the graph, we get the sequence
7, 5, 3, 1, ...
Here,
a₁ = 7 is the first element.
An arithmetic sequence has a constant difference 'd' and is defined by

computing the differences of all the adjacent terms

The difference between all the adjacent terms is the same and equal to

substituting a₁ = 7 and d = -2 in the nth term of the sequence


Therefore, option C is true.
Answer:
x³ − x² + 9x − 9 = 0
Step-by-step explanation:
Imaginary roots come in conjugate pairs. So if 3i is a root, then -3i is also a root.
(x − 1) (x − 3i) (x − (-3i)) = 0
(x − 1) (x − 3i) (x + 3i) = 0
(x − 1) (x² − 9i²) = 0
(x − 1) (x² + 9) = 0
x (x² + 9) − (x² + 9) = 0
x³ + 9x − x² − 9 = 0
x³ − x² + 9x − 9 = 0
Answer:
26 weeks!
Step-by-step explanation:
Hello there!
There are 52 weeks in a year, believe it or not! So, if 1 bag of food was 10 lbs, then it would be 1 bag of 10lbs x 52 weeks, so it would be 52 bags. However, we are dealing with 20 lb bags, which will last twice as long as the 10 lb bag! So, if 1 bag will last 2 weeks, and there are 52 weeks in a year, then it is weeks divided by number of weeks it takes to consume 1 bag, 52 divided by 2. 52 divided by 2 is 26.
So in 1 year, the shelter will need 26 bags of 20 lb cat food!
Hope I helped!
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