Area = *Longer Side* x *Shorter side*
44 = (x + 7) * x
44 = x^2 + 7x
0 = x^2 + 7x - 44
0 = (x + 11)(x - 4)
0 = x + 11 OR 0 = x - 4
x = -11*impossible* OR x = 4
So x = 4
Answer: The point estimate for this population proportion is 0.2
Step-by-step explanation:
The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 200
x = 40
p = 40/200 = 0.2
NO!
THAT CHEATING G G G . G . G G G . G GGG G . G
Answer:
g(n) = g(n-1) -15
g(1) = -65
Step-by-step explanation:
We can find the recursive formula from the explicit formula for this arithmetic sequence by substituting 1 and (n+1) for n in the explicit formula.
__
g(n+1) = -50 -15(n+1) = (-50 -15n) -15 . . . . . find g(n+1)
g(n+1) = g(n) -15
and ...
g(1) = -50 -15(1) = -65
Then the recursive formula can ge written as ...
g(n) = g(n-1) -15
g(1) = -65
_____
<em>Additional comment</em>
We found g(n+1) = g(n) -15. Substituting n-1 for n in this formula puts it in the form we need for answering the question:
g((n-1)+1) = g(n-1) -15
g(n) = g(n -1) -15
Either of these forms tells you how to get the next term from the previous one.
Answer:
9 inches.
Step-by-step explanation:
Fun question! The length of a space diagonal for a cube is 
Thus, the first cube has a side diagonal of 
The next cube would have a side diagonal of 3
The third cube would have a side diagonal of 
And the fourth cube would have a side diagonal of 9.
Since the fifth cube has a side length equal to the side diagonal of the fourth cube, it should be 9 inches.
