What is the common ratio of the geometric sequence below? 10, 15, 22.5, 33.75
2 answers:
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If you are asking what is the graph of y = 3x^2 -2x+1.
Then, the attached file would be the answer.
To check, b^2 - 4(a)(c), for each equation and use these facts:
If b^2 - 4(a)(c) = 0, there is only one real root meaning, the graph touches the x-axis only in one point.
If b^2 - 4ac > 0, there are two real roots meaning, the graph touches the x-axis in two different points.
If b2 - 4ac < 0, there are no real roots then the graph does not touch the x-axis. This would be the case for y = 3x^2 - 2x + 1.
Solution:
(-2)^2 -4(3)(1) = 4 - 12 = -8 < 0 will result in not real roots.
Then, the attached file would be the answer.
To check, b^2 - 4(a)(c), for each equation and use these facts:
If b^2 - 4(a)(c) = 0, there is only one real root meaning, the graph touches the x-axis only in one point.
If b^2 - 4ac > 0, there are two real roots meaning, the graph touches the x-axis in two different points.
If b2 - 4ac < 0, there are no real roots then the graph does not touch the x-axis. This would be the case for y = 3x^2 - 2x + 1.
Solution:
(-2)^2 -4(3)(1) = 4 - 12 = -8 < 0 will result in not real roots.
Answer:
For x = 0, P(x = 0) = 0.35
For x = 1, P(x = 1) = 0.54
For x = 2, P(x = 2) = 0.11
For x = 3, P(x = 3) = 0
Step-by-step explanation:
We are given that the Sky Ranch is a supplier of aircraft parts. Included in stock are 6 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected, one at a time, without replacement.
Let X = <u><em>the number that are not correctly calibrated.</em></u>
Number of altimeters that are correctly calibrated = 6
Number of altimeters that are not correctly calibrated = 2
Total number of altimeters = 6 + 2 = 8
(a) For x = 0: means there are 0 altimeters that are not correctly calibrated.
This means that all three selected altimeters are correctly calibrated.
Total number of ways of selecting 3 altimeters from a total of 8 =
The number of ways of selecting 3 altimeters from a total of 6 altimeters that are correctly calibrated =
So, the required probability =
= = <u>0.35</u>
(b) For x = 1: means there is 1 altimeter that is not correctly calibrated.
This means that from three selected altimeters; 1 is not correctly calibrated and 2 are correctly calibrated.
Total number of ways of selecting 3 altimeters from a total of 8 =
The number of ways of selecting 2 correctly calibrated altimeters from a total of 6 altimeters that are correctly calibrated =
The number of ways of selecting 1 not correctly calibrated altimeters from a total of 2 altimeters that are not correctly calibrated =
So, the required probability =
= = <u>0.54</u>
(c) For x = 2: means there is 2 altimeter that is not correctly calibrated.
This means that from three selected altimeters; 2 are not correctly calibrated and 1 is correctly calibrated.
Total number of ways of selecting 3 altimeters from a total of 8 =
The number of ways of selecting 1 correctly calibrated altimeters from a total of 6 altimeters that are correctly calibrated =
The number of ways of selecting 2 not correctly calibrated altimeters from a total of 2 altimeters that are not correctly calibrated =
So, the required probability =
= = <u>0.11</u>
(d) For x = 3: means there is 3 altimeter that is not correctly calibrated.
This case is not possible, so this probability is 0.