Answer:
this is not exact because i Estimated the square root of 33
Step-by-step explanation:
The probability of choosing a blue marble is 3/6 or 1/2 because 1/3 +1/6 equals 3/6. Meaning that only 3/6 is left over for blue's probability.
Answer:
OPTION B
Step-by-step explanation:
Geometric series : 
where
is the first term of the series and
is common difference.
A geometric series is convergent if |r| < 1.
It is divergent otherwise.
Since the first term of the series is a and the second term is ar, the ration of second term and first term,
= r.
OPTION A:
.
Here,
and 

r > 1. So, this series is divergent.
OPTION B:

a = 1; ar =
.
.
Since, r < 1, we can say that the series is convergent.
OPTION C:
We can easily see that |r| =4. So, it is not convergent.
OPTION D:
Again |r| = 2. So, the series should be divergent.
Answer:
Cost of 1 ft²: $7
Cost of 1 ft² of geranium: $6
Step-by-step explanation:
Let x be the cost of a ft² of grass
Let y be the cost of a ft² of geranium
13x + 9y = 145
4x + 12y = 100
x + 3y = 25
x = 25 - 3y
13(25 - 3y) + 9y = 145
325 - 39y + 9y = 145
180 = 30y
y = 6
x = 25 - 3(6)
x = 7
True the answer is correct