Shen drove 780 miles in 12 hours. At the same rate, how many miles would he drive in 5 hours?

1 answer:

7 0

780miles/12 hours equals 65 miles per 1 hour. if you are going at the same rate, you multiply 65 miles times 5 hours to get 325 miles. he drove 325 miles in 5 hours

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2 cards are chosen from a deck of cards. The first card is replaced before choosing the second card. What is the probability tha

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Answer:

The probability that the first card chosen is club and second card chosen is of heart is .

Step-by-step explanation:

Total number of cards in the deck is 52 (total number of cases).

Probability of an event E can be formulated as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

For event A, number of cards of type club = 13 (favorable cases)

So,

$P(A) = \dfrac{13}{52} \\\Rightarrow P(A) = \dfrac{1}{4}$

For event B, number of cards of type heart = 13 (favorable cases)

So,

$P(B) = \dfrac{13}{52} \\\Rightarrow P(B) = \dfrac{1}{4}$

It is given that card is replaced before choosing the second card.

These events A and B are independent events, happening of one event does not effect the happening of other. And probability of both happening together can be found as following:

$P(A \cap B) = P(A) \times P(B)$