Answer:
Option C is right
C. They are independent because, based on the probability, the first ace was replaced before drawing the second ace.
Step-by-step explanation:
Given that the probability of drawing two aces from a standard deck is 0.0059
If first card is drawn and replaced then this probability would change. By making draws with replacement we make each event independent of the other
Drawing ace in I draw has probability equal to 4/52, when we replace the I card again drawing age has probability equal to same 4/52
So if the two draws are defined as event A and event B, the events are independent
C. They are independent because, based on the probability, the first ace was replaced before drawing the second ace.
Answer:
7-m
Step-by-step explanation:
The difference of m and 2
m-2
5 minus the difference of m-2
5-(m-2)
5-m+2
Collect like terms
7-m
Answer:
$56.875
Step-by-step explanation:
Given that :
Amount invested = principal, p = 3500
Interest rate, r = 6.5% = 0.065
Penalty on withdrawal = 3 month simple interest
Simple interest = principal * rate * time
Time = 3 months = 3/12 = 0.25 years
Hence,
Simple interest = 3500 * 0.065 * 0.25
Simple interest = $56.875
Hence, penalty paid = $56.875
Answer :
Let's assume the opposite of the statement i.e., 3 + √5 is a rational number.


Since, a, b and 3 are integers. So,

Here, it contradicts that √5 is an irrational number.
because of the wrong assumption that 3 + √5 is a rational number.

Hence, 3 + √5 is an irrational number.
About 14
this is the answer