You have saved $900 for a vacation to Aruba. The total cost of the trip is $2100. If you save $150 a week, how many weeks will i
1 answer:
You might be interested in
Option C:
The perimeter of the rhombus is 100 inches.
Solution:
AC = 30 inches, BD = 40 inches
In rhombus, diagonals bisect each other at right angles.
AE = CE = 15 inches
BE = ED = 20 inches
In ΔAED, ∠E = 90°
Using Pythagorean theorem,
Taking square root on both sides, we get
AD = 25 inches
In rhombus, all sides are equal in length.
AD = DC = CB = BA = 25 inches.
Perimeter = AD + DC + CB + BA
= 25 + 25 + 25 + 25
= 100 inches
The perimeter of the rhombus is 100 inches.
Option C is the correct answer.
Answer:
Step-by-step explanation:
Suppose F represents the value that a room is unlocked.
Then, we can assume that the probability of unlocked homes is:
P(unlocked homes) = P(U)
P(unlocked homes) = 40%
P(unlocked homes) = 0.40
Also, let us represent the value of the locked room with G.
P(locked homes) = P(G)
P(locked homes) = (1 - 0.40)
P(locked homes) = 0.60
Let the probability of selecting a correct key be P(S)
It implies that for the agent to use 3 keys, we have a combination of possible ways for the set of keys.
Now; since only one will open the house, then:
P(select correct key) = P(S)
P(S) = 0.375
Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:
P(F ∪ (G∩S) = P(F) + P(G∩S)
P(F ∪ (G∩S) = P(F) + P(G) × P(S)
P(F ∪ (G∩S) = 0.40 + (0.60×0.375)
P(F ∪ (G∩S) = 0.40 + 0.225
P(F ∪ (G∩S) =0.625