<span>P(black socks): 24/42 or 12/21
P(black socks without replacement): 23/41. Consequently, the chance of randomly selecting 2 black socks, without replacement, from the basket is 12/21×23/41=276/861, equivalent to 32%. Hope this helps!</span>
Let the events be defined as follows:
A=Nathan suffers from an allergy
~A=Nathan does not suffer from an allergy
T=Nathan receives a positive test result
~T=Nathan does not receive a positive test result
According to the provided data,
P(A)=0.75 [ probability indicating that Nathan is allergic ]
P(T|A)=0.98 [ probability of obtaining a positive test result if Nathan is allergic to Penicillin]
We aim to calculate the probability that Nathan is both allergic and tests positive
P(T n A)
Using the definition of conditional probability,
P(T|A)=P(T n A)/P(A)
By substituting the known values,
0.98 = P(T n A) / 0.75
We then solve for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Hope this assists you!!
The pot has the capability to hold 1/3 more than its current level. Therefore, 1/3 of 5 1/2 quarts equals:
(1/3)(11/2) = 11/6 quarts. Thus, the total capacity of the pot is 11/6 quarts.
Answer: He will require 10.07 cubic feet of sand for the wheelbarrows.
Step-by-step explanation:
Given that
the ratio of wheelbarrows filled with sand to those filled with concrete is expressed as
The volume of concrete in wheelbarrows is 248 cubic feet.
Then the volume of sand in wheelbarrows can be found as
Therefore, he will require 10.07 cubic feet of sand for the wheelbarrows.
Answer:
The sales figure for the third year is ![[\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B32%5C%20%5Ctext%7Bmn%7D-x%5C%20%5Ctext%7Bmn%7D%7D%7Bx%5C%20%5Ctext%7Bmn%7D%7D%5Ctimes%20100%5C%25%5D)
.
Step-by-step explanation:
Since sales data for the second year is unavailable, we denote it as x million.
Year 3's total sales amount to 32 million.
Calculate the sales account for year 3 as follows:
