The problem is to find how many students have either blond hair or glasses and then divide that by the total number of students; that will find the probability.
Since 7 have blonde hair and 9 have glasses, that would be a total of 16 persons if there were no overlap; that is, no blonde wears glasses and nobody who wears glasses is a blonde.
But there are 4 persons who have both blond hair and wears glasses. That means, of the 7 who are blondes, 3 of them do not wear glasses. And, of the 9 who wear glasses, 5 of them are not blondes.
So we have 3 who are blondes without glasses, 5 who wear glasses who are not blondes, and 4 blonds with glasses, for a total of 12 persons.
The probability is, therefore, 12/26 or 6/13.
Answer:
1
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
Angle ABD = Angle CBD + Angle ABC
You know ABD is 70, CBD and ABC are in terms of x
70 = 5x + 13 + 3x + 33
70 - 13 - 33 = 8x
24 = 8x
3 = x
Replacing x in Angle ABC:
3 * 3 + 33 = 42
Answer
Step-by-step explanation:
Let x be the fasteners
95% of x passed, and 5% of x failed
20% of the 5% which failed are defective, remaining the 80% of the failed 5%.
Now 40% of this 80% of the 5% which failed are scrapped, meaning only the remaining 60% passed second inspection.
Thus
a). The proportion ;
60% of 80% of 5% of x
mathematically
= 60/100 × 80/100 × 5/100
= 0.024 or 2.4%
b) initially 95% passed and later on 2.4% pass again. Therefore total that passed = 95%+2.4%=97.4%
c) probability that it passed on first inspection is 95/100
Percentage that went through recrimping = 80% of 5% = 80/100 × 5/100 = 1/25 or 0.04 or 4%
Thus probability of passing and not going through recrimping
= 1 - (1/25) = 0.96 or 96%
