The expression 3z+4 = 4+3z represents the commutative property of addition.
The cumulative property states that if the position of the numbers when they are in addition is changed then it will not affect the final result of the addition. If altering the operands' order has no effect on the outcome, the binary operation is commutative in mathematics.
The commutative property basically states that x+y can be flipped yet have the same meaning so x+y = y+x ~
The given expression 3z+4=4+3z is showing the cumulative property of addition. By changing the position of the additional terms the final result will not change.
Therefore, the expression 3z+4 = 4+3z represents the commutative property of addition.
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B.) -3
C.) 5/3
D.) 5
A, Use a spinner that is divided into five equal parts. Choose three colors for successful; the other two colors represent unsuccessful. Spin the spinner 20 times, once for each event.
B. Use a random number table consisting of the digits 0 through 9, with digits 0 through 3 representing successful and the remaining digits, 4 through 9, representing unsuccessful. Choose 20 digits, one for each event.
C. Roll a 10-sided die. Let 1 through 5 represent successful and the values 6 through 10 indicate unsuccessful. Roll the die 20 times, once for each event.
D. Count out 65 yellow beads and 35 pink beads. Select 20 of these beads at random. Let a yellow bead represent successful and a pink bead represent unsuccessful.
P(B)
b. P(A and B)
P(B|A)
c. P(A and B)
P(A|B)
d. P(A and B) × P(B|A)
e. P(A and B) × P(B)
Answer:
Option d -
Step-by-step explanation:
Given : Event B is dependent on event A, and event A occurs before event B.
To find : Which formula can be used to find the probability of event A?
Solution :
Event B is dependent on event A
i.e. The intersection of A and B - A and B
Probability of event B is dependent on event A is P(A and B)
Event A occurs before event B
i.e. B|A
Probability of event A occurs before event B is P(B|A)
Event B is dependent on event A, and event A occurs before event B is
The formula which shows the probability of event A is
Therefore, Option d is correct.