Answer: c. (2,-1)
Explanation: starting from the origin (0,0), you can see that point G is two places to the right and one down. This indicates that it is (2,-1)
The standard deviation for the number of people with the genetic mutation is 3.77
<h3>How to determine the standard deviation?</h3>
The given parameters are:
Sample size, n = 300
Proportion that has the particular genetic mutation, p = 5%
The standard deviation for the number of people with the genetic mutation is calculated as:
Standard deviation = √np(1 - p)
Substitute the known values in the above equation
Standard deviation = √300 * 5% * (1 - 5%)
Evaluate the product
Standard deviation = √14.25
Evaluate the exponent
Standard deviation = 3.77
Hence, the standard deviation for the number of people with the genetic mutation is 3.77
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972=4/3πr^3
729=πr^3
232.16~ r^3
r~ 6 feet, so the radius is about 6 feet. Hope it help!
The 2 equations are
18.20x+19.50y=230.10
and
x+y=12
where x is the months of original cost and y is months for new cost. Since you know that you paid for one year (12 months) you can make the second equation. Then you want to substitute the first equations x by making the second equation
x=(12-y)
18.20(12-y)+19.50y=230.10
218.40-18.20y+19.50y=230.10
1.30y=11.70
y=9
so that means you had the original rate for 3 months and the new one for 9 months
Anyway
so the recursive rule tells the relationship between the previous term and the term we want to find
given
an=2n+11
it is clear that the first term is 13
2nd term is 15
3rd term is 17
each term increases by 2
so
a term is equal to the previous term plus 2
an=a(n-1)+2
the first one is the answer
