Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive
We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]
We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)
From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Hope this helps!!
If a person bought 8 items and each item was priced at $4, that means the total amount spent was $32.

The person received 8 dollars in change. This means that the person payed 8 dollars more than what they spent. Well, we just found out how much they spent, so we can find out how much money the person gave the vendor.
Let p = amount of money paid by the person.


The person gave the vendor $40.
Answer:
The marked price of an article is Rs. x, and selling price is Rs. y
Price difference = Rs. (x−y)
Now, on Rs. x, there is a discount of Rs. (x−y)
Thus, on Rs. 100, there will be a discount of Rs.
x
(x−y)
×100%.
Answer:
<h2>$ 22200 in higher yielding bank and $ 44400 in lower yielding bank</h2>
Step-by-step explanation:
Jolene invests in two bank accounts. The first account gives a 4% interest per year and the second bank gives a 10% interest rate per year.
She puts twice as much in the lower yielding bank account. Let us denote the amount put in high yielding bank account by
. Lower yielding bank account will have
.

Interest from lower yielding bank = 
Interest from higher yielding bank = 
Total Interest per year = $ 3996 = 

∴ Jolene invested $ 22200 in higher yielding bank and $ 44400 in lower yielding bank.
Step-by-step explanation:
green = 3/20
black = 4/20 = 1/5