The sequence is decreasing so it is r<1, therefore it is converging
This is the formula for how to find the sum/limit of the convergence (or how to find a infinite geometric sequence): a1/(1-r)
a1=48
r=8/48=.167
Verifying r:
a1/r=48*.167=8.016=8
a1/r^2=48*.167^2=1.338672=1.34
4/3=1.33
(close enough)
Putting it into equation:
a1/(1-r)=48/(1-.167)=48/.833=57.62304922
Answer Choices:
A. Converges; 288/5
B. Converges; 0
C. Diverges
D. Converges; -12432
288/5=57.6
ANSWER IS A. Converges; 288/5
Answer:
Step-by-step explanation:
If we are given angles B and C, then all we have to do is add them together and then subtract that from 180 since all the angles of a triangle have to add up to equal 180.
62 + 48 = 110
180 - 110 = 70
Angle A = 70°
The sign of the quotient of two integers depends on the signs of the integers being divided.
Both integers are positive: When both integers are positive, the quotient will also be positive. This is because dividing positive numbers will always result in a positive value.
For example, if we divide 8 by 2, the quotient is 4
Positive divided by negative: When a positive integer is divided by a negative integer, the quotient will be negative. This is because dividing a positive number by a negative number results in a negative value.
For example, if we divide 10 by -2, the quotient is -5
In summary, the sign of the quotient of two integers depends on the signs of the integers being divided. If both integers are positive, the quotient will be positive. If a positive integer is divided by a negative integer, the quotient will be negative.
Answer: 0.0727
Step-by-step explanation:
We can use the concept of probability:
In this case, we have 9 red marbles and 24 blue marbles, so the total number of marbles is 9 + 24 = 33.
Since there are 9 red marbles out of 33 total marbles, the probability of drawing a red marble on the first draw is 9/33.
There will be 8 red marbles left out of the remaining 32 marbles in the jar. So, the probability of drawing a second red marble after the first red marble is 8/32.
To find the probability of both marbles being red, we multiply the probabilities of the fractions together. (9/33) * (8/32).
Now let's round the answer to 4 decimal places!
(9/33) * (8/32) ≈ 0.0727
Therefore, the probability that both marbles drawn are red would be 0.0727. Sorry if it's nonsense, I'm just an average 6th Grader : D
The probability of pulling out 2 red marbles from the jar is approximately 0.0727.
To find the probability of pulling out two red marbles from the jar, we need to calculate the probability of pulling out a red marble on the first draw and then a red marble on the second draw.
The probability of pulling out a red marble on the first draw is 9/33, since there are 9 red marbles out of a total of 33 marbles. After the first marble is removed, there are now 8 red marbles left out of a total of 32 marbles. So, the probability of pulling out a red marble on the second draw is 8/32.
To find the probability of both events happening, we multiply the probabilities together: (9/33) * (8/32) = 0.0727 (rounded to 4 decimal places).
Learn more about Probability here:
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