Answer:
The probability that the first card is a Heart and the second card is a Spade is 0.064.
Step-by-step explanation:
A standard deck of 52 cards is shuffled and two cards are drawn without replacement.
The denominations of the cards are as follows:
Spades (S) = 13
Hearts (H) = 13
Diamonds (D) = 13
Clubs (C) = 13
Compute the probability of selecting a Heart first as follows:

Compute the probability of selecting a Spade second as follows:

Since the two cards are selected without replacement the second draw is independent of the other.
Then the probability that the first card is a Heart and the second card is a Spade is:


Thus, the probability that the first card is a Heart and the second card is a Spade is 0.064.
5n + 34 = -2(1 - 7n)
5n + 34 = -2 + 14n
5n = -36 + 14n
-9n = -36
9n = 36
n = 4
Answer:
Alicia pagara MX$1,700.
Step-by-step explanation:
A 32% discount (descuento) would come to 0.32(MX$2,500) = MX$800.
Subtracting MX$800 from MX$2,500 yields MX$1,700.
Alicia pagara MX$1,700.
Answer:
Step-by-step explanation:
Distance between two points
and
is given by the formula,
Distance = 
a). A(-6, -4), B(-3, -1)
Distance between A and B = 
= 
= 3√2
= 4.2 units
b). C(3.5, 1), D(-4, 2.5)
Distance between C and D = 
= 
= 7.65
≈ 7.7 units
c). Distance between X(5, -5) and Y(-5, 5)
Distance = 
= 
= 10√2
= 14.14
≈ 14.1 units
Answer is b. Because it going up