It is highly likely that Malika will randomly select the letter A from a group of letters. From which group of letters could Mal
1 answer:
Answer:
D. A, A, J, A, A, K
Step-by-step explanation:
It is given that it is highly likely that Malika will randomly select the letter A from a group. This means, there is a very high probability of selecting the letter A from the group. So, for all the given options we have to find what is the probability of randomly selecting the letter A.
Option A:
Total letters = Total Possible Outcomes = 5
Occurrence of A = Total Favorable Outcomes = 1
Since, probability is equal to Total Favorable Outcomes divided by Total Possible outcomes, the probability of selecting A in this case would be = = 0.2
Option B:
Total letters = Total Possible Outcomes = 5
Occurrence of A = Total Favorable Outcomes = 2
The probability of selecting A in this case would be = = 0.4
Option C:
Total letters = Total Possible Outcomes = 6
Occurrence of A = Total Favorable Outcomes = 3
The probability of selecting A in this case would be = = 0.5
Option D:
Total letters = Total Possible Outcomes = 6
Occurrence of A = Total Favorable Outcomes = 4
The probability of selecting A in this case would be = = 0.67
Hence, from option D, we have the highest probability of selecting the letter A from given letters.
Therefore, Malika would be selecting from the group in option D. A, A, J, A, A, K
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Answer:
(-√8, -√6] ∪ [-√2, 0) ∪ (0, √2] ∪ [√6, √8)
Step-by-step explanation:
The inequality resolves into 4 inequalities. There are 4 intervals in the solution.
Starting at the left, for the absolute value argument less than 0:
2 ≤ -(x^2 -4) . . . . . . . for x^2 -4 ≤ 0
2 ≤ -x^2 +4
-2 ≤ -x^2
2 ≥ x^2 . . . . . . . . . . consistent with the above 4 ≥ x^2
-√2 ≤ x ≤ √2 . . . . . square root; may be limited by other constraints
For the absolute value argument greater than 0:
2 ≤ x^2 -4 . . . . . . . for x^2 -4 ≥ 0
6 ≤ x^2 . . . . . . . . . .consistent with x^2 ≥ 4
-√6 ≥ x ∪ x ≤ √6 . . . . take the square root
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The inequality on the right can be written as the compound inequality ...
-4 < x^2 -4 < 4
0 < x^2 < 8 . . . . . add 4
0 < |x| < √8 . . . . take the square root
This resolves to ...
-√8 < x < 0 ∪ 0 < x < √8
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So, the solution set is the set of values of x that satisfy these restrictions on x:
-√2 ≤ x ≤ √2
x ≤ -√6 ∪ x ≤ √6
-√8 < x < 0 ∪ 0 < x < √8
That is a collection of 4 intervals:
(-√8, -√6] ∪ [-√2, 0) ∪ (0, √2] ∪ [√6, √8)
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You may be expected to write √8 as 2√2.
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These intervals are the portions of the red curve that lie between the two horizontal lines. The points on the upper (dashed) line are not part of the solution set. The points on the lower (solid) line are part of the solution set.
Answer: 1) 9 days
2) a)37.5%
b)50%
c) 33.33%
Step-by-step explanation:
1) - Let's call:
x: number of days the company supposed to finish the order.
- You know that the company had to produce 40 items daily, but it produced 20 items more daily and finished the order 3 days ahead of time. Therefore, you can express this as following:
- Solve for :
(The answer is 9 days)
2) a) The percent that belongs to three people if eight eight people share equally in an inheritance, can be calculated as following:
%
b) The percent that belongs to three people if six people share equally in an inheritance (because two of the people are disinherited) can be calculated as following:
%
c) - The increase goes from 1/8 to 1/6, therefore, you must subtract them:
- Divide the result by 1/8 and multiply by 100 to obtain the percent:
%