MOST BRAINLIEST IF CORRECT
2 answers:
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Answer:
a) 0.64
b) 0.21
c) 0.79
Step-by-step explanation:
Percentage of industrial-grade diamonds = 80%
This means, if one diamond is chosen at random, there is 80% chance that it will be of industrial-grade. So,
P(Industrial grade) = 80% = 0.80
Part a)
Probability that 1st diamond is industrial-grade = 0.80
Since, selection of diamonds in independent, the probability that 2nd diamond is also industrial grade = 0.80
The overall probability of both diamonds being industrial-grade will be the product of their individual probabilities, according to the fundamental rule of counting.
So, if two diamonds are chosen at random, the probability that both are industrial grade = 0.80 x 0.80 = (0.80)² = 0.64
Part b)
Following the same logic as we followed in the previous part.
The probability of each of the 7 diamonds being industrial-grade is 0.80, so the probability that all 7 are industrial grade will be:
Probability = 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 = = 0.21
So, if 7 diamonds are chosen at random, the probability that all 7 are industrial grade is 0.21.
Part c)
The event "at least one" is complement of event "none". So, the event "at least one of 7" will be complement of "none of the 7"
If none of the selected diamonds is gem quality, this means all 7 of the diamonds are industrial-grade. So,
The probability that none of the diamonds is gem-quality = The probability that all 7 are industrial-grade = 0.21
So,
The probability that at least one of the 7 selected diamonds is gem-quality = 1 - Probability that none is gem-quality
= 1 - 0.21
= 0.79
Since the probability that atleast one of the 7 randomly selected diamonds is gem-quality is greater than 0.05, it won't be unusual event.
9514 1404 393
Answer:
A. 6, 24, 96, 384
Step-by-step explanation:
The recursive formula tells you that the next number in sequence is 4 times the previous one.
For first term 6, the second term is 4·6 = 24.
For 2nd term 24, the third term is 4·24 = 96.
For 3rd term 96, the fourth term is 4·96 = 384.
The first four terms of the sequence are ...
6, 24, 96, 384
__
You don't even need to figure all four terms. You know immediately which sequence is correct once you have found ...
Answer:
third side = 6
Step-by-step explanation:
third side is hypotenuse as it is opposite to 90 degree
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotense)^2
5^2 + = hypotenuse^2
25 + 11 = hypotenuse^2
36 = hypotenuse^2
= hypotenuse
6 = hypotenuse