Answer:
a
n=1/2 an - 1
Step-by-step explanation:
64,32,16,8,4. is a geometric sequence. this is a sequence where, to get from one term to the next, there is a number that you have to multiply it by. this is the same for all parts of the sequence.
The answer is 27a^6
Hope this helps.
The translation <u>3 units to the right and 2 units down the plane</u> will result in the coordinates D' (-1, 1),E'(-2, -1) and F' (1, -2)
<h3>
Translation of coordinates</h3>
Translation is a transformation technique used to change the position of an object on an y-plane.
For instance translating a coordinate (x, y) into (x-3,y -2) means a shift of the image <u>3 units to the right and 2 units down the plane. In </u>order to get the corresponding coordinates, we will subtract 3 from the x-coordinates and 2 from the y-coordinates.
Given the coordinate of the triangle DEF as shown;
ΔDEF
D(2, 3),
E(l, 1), and;
F(4, O)
The translation <u>3 units to the right and 2 units down the plane</u> will result in the coordinates D' (-1, 1),E'(-2, -1) and F' (1, -2)
Learn more on translation here: brainly.com/question/12861087
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Answer:
a) 0.7225
b) 0.5220
c) 0.478
It is not unusual.
Step-by-step explanation:
Probability grocery bags are plastic = 85% = 0.85
a) If two grocery bags are chosen at random, the probability that both grocery bags are plastic would be:
b) If four bags are chosen at random, the probability that all are plastic:
Probability all four bags chosen randomly are plastic bags is 0.5220
c) The probability that at least one of four randomly selected grocery bags is paper:
Let's first check for the probability of getting a paper bag.
P(paper bag) = 1 - 0.85 = 0.15
Probability of getting a paper bag is 0.15
Probability that at least one of four randomly selected grocery bags is paper would be:

Since the probability that at least one bag is paper, 0.478 is greater than 0.05, it is not unusual.