Answer:
2, 6, 18, 54, 162
Step-by-step explanation:
In a geometric sequence, terms that are 2 terms apart (2nd & 4th, for example) have a ratio that is the 2nd power of the common ratio. Since 54/6 = 9 = 3², the common ratio is 3.
The first term will be the 2nd term divided by that ratio; the 5th term will be the 4th term multiplied by that ratio. You can figure the 3rd term any of several ways (and they should all give the same value): multiply the 2nd term, divide the 3rd term, or find the geometric mean of the 2nd & 4th terms: √(6·54) = 18.
First you subtract 4 to get it to the other side. Now the equation is -4=1/4x. Next, multiply both sides by 4 to isolate the x. Now you have -16=x.
Hello There!
The correct answer is D. 3554 square yards.
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Answer:
The probability is 0.081
Step-by-step explanation:
Here, we want to calculate the probability that the 3rd inspection will be defective.
What this means is that the first two would
not be defective.
Probability of having a defective DVD = 10% = 10/100 = 0.1
Probability of not having a defective DVD = 1 -0.1 = 0.9
So the probability of third being defective = Probability of first not defective * Probability of second not defective * Probability of third defective
= 0.9 * 0.9 * 0.1 = 0.081
Answer:
21
Step-by-step explanation:
Given,
- Number of red marble = 4
- number of green marble = 3
- number of transparent marble = 1
- number of yellow marble = 3
- number of orange marble = 3
Total number of marble except red and green = 3 +3+1
= 7
So, the total number of possible sets of five marbles such that none of them are green or red can be given by




= 21
So, the required number of possible sets are 21.