Answer:
The answer to this equation would be 3/35 in simplest form.
Step-by-step explanation:
To divide by a fraction, multiply by its reciprocal.
9
/14 ⋅ 2
/15
You then cross simplify 9 & 15 (can be divided by 3 to get 9=3 and 15=5)
This will then leave you with 3/14 & 2/5
Next, you cross simplify 14 & 2, (both can be divided by 2 to get 14=7 and 2=1)
This will then leave you with 3/7 & 1/5
Then multiply 
This will then leave you with your answer of 3/35.
I hope this helps! :)
Answer:
1) is not possible
2) P(A∪B) = 0.7
3) 1- P(A∪B) =0.3
4) a) C=A∩B' and P(C)= 0.3
b) P(D)= 0.4
Step-by-step explanation:
1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4 . Thus the maximum possible value of P(A∩B) is 0.4
2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by
P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7
P(A∪B) = 0.7
3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3
4) the event C that the selected student has a visa card but not a MasterCard is given by C=A∩B' , where B' is the complement of B. Then
P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3
the probability for the event D=a student has exactly one of the cards is
P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4
Answer:
$46,000
Step-by-step explanation:
We just need to subtract all the annual payments from the salary to figure out her disposable income (which is the income remaining after deduction of taxes and social security charges).
So here's what we get
$60,000 - $3,000 - $5,000 - $6,000 = $46,000
<em>P.S. Hope it makes sense. If you have any questions, feel free to share them in the comment senction below. I'll be happy to help. Have a wonderful day!</em>
Answer:
The irrational number is 4.37124...
Step-by-step explanation:
This is because the number is non-terminating and non-repeating; as in the numbers don't repeat in the same order and they never end.