5^0 is 1. 5^3 is 125. 1x125 is 125 so your answer is 125.
Answer:
c) Events A and B are independent events.
The outcomes of events A and B are dependent on each other.
P(A and B)=P(A)•P(B)
Step-by-step explanation:
Given:
Total number, n = 52
Each suit contains 13 cards: 2 to 10, a jack, a queen, a king, and an ace.
Since there are 4 suits, it means the number of each card is four.
P(A) = event of picking a king
P(B) = event of picking a 3
Therefore the probability of picking a king = 
Probability of picking a 3 = 
Since only a card is picked, the probability a king is picked after picking a 3 is 0.
i.e P(A|B) = 0 ≠ 
option A is wrong
The probability a 3 is picked after picking a king is 0.
i.e P(B | A) = 0 ≠ 
option B is wrong
Events A and B are independent events.
The outcomes of events A and B are dependent on each other.
P(A and B)=P(A)•P(B)
Option C is correct.
Answer:
(-3,-1)
Step-by-step explanation:
Step-by-step explanation:
Firstly, we have to find m∠J.
Since all the angles of a Δ equal 180°, angles J, L, and K should have a sum of 180°.
So,
m∠J + m∠L + m∠K = 180°
The diagram shows us that ∠L = 49° and ∠K = 90°, so we plug in those numbers in the equation.
m∠J + 49° + 90° = 180°
Then we simplify
m∠J + 139° = 180°
Subtract 139° to both sides
∠J = 41
Now the other angles.
Since ΔJKL ~ ΔRST, then ∠J ≅ ∠R, ∠K ≅ ∠S, and ∠L ≅ ∠T
Meaning, m∠J = m∠R, m∠K = m∠S, and m∠L = m∠T
Since we know m∠J = 41°, m∠K = 90°, and m∠L = 49° we could plug those in so...
41° = m∠R , 90° = m∠S , and 49° = m∠T