Answer:
GCF-12
Step-by-step explanation:
Find the prime factorization of 84
84 = 2 × 2 × 3 × 7
Find the prime factorization of 120
120 = 2 × 2 × 2 × 3 × 5
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 3
GCF = 12
First make the equation equal y
Y=-2x-6
Then rearrange to make x the subject
2x=-y-6
X=(-y-6)/2
Then change the y's to x's
Inverse=(-x-6)/2
Answer:
1,530 people
Step-by-step explanation:
First do 0.085 times 600 to get 51 (this stands for 51 new ppl per year)
Second Do 51 times 30 to get 1,530
1,530 will stand for infected ppl of this disease in 30 years
Answer:
We need a sample size of least 119
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Sample size needed
At least n, in which n is found when 
We don't know the proportion, so we use
, which is when we would need the largest sample size.






Rounding up
We need a sample size of least 119