Answer:
100%
Step-by-step explanation:
Use conditional probability:
P(B | A) = P(B and A) / P(A)
P(B | A) = (12/28) / P(A)
We need to find the probability that a student studies art.
P(A or B) = P(A) + P(B) − P(A and B)
24/28 = P(A) + (12+12)/28 − 12/28
P(A) = 12/28
P(B | A) = (12/28) / (12/28)
P(B | A) = 1
What this means is that all of the students who study art also study biology.
There is no picture to be solved
Answer:
The carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Step-by-step explanation:
Given:
Amount a carpenter can spend at most = $250
The inequality to represent the amount he can spend on each type of board is given as:
where 
represents '2 by 8 boards' and 
represents '4 by 4 boards'.
To determine whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Solution :
In order to check whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards' , we need to plugin the 
and 
in the given inequality and see if it satisfies the condition or not or in other words (12,14) must be a solution for the inequality.
Plugging in and in the given inequality
The above statement can never be true and hence the carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Answer:
B. AAS Congruence Theorem
Step-by-step explanation:
Previous steps showed congruence of a side of the designated triangle, and two angles that do not bracket that side. In short form, you have shown congruence of ...
Angle - Angle - Side
so the AAS congruence theorem applies.
