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svlad2 [7]
3 years ago
14

ou draw one card from a​ 52-card deck. Then the card is replaced in the deck and the deck is​ shuffled, and you draw again. Find

the probability of drawing a nine the first time and a heart the second time
Mathematics
1 answer:
julsineya [31]3 years ago
3 0

Answer: Our required probability is \dfrac{1}{52}

Step-by-step explanation:

Since we have given that

Number of cards in a deck = 52

Number of nines = 4

Number of hearts = 13

It is the case of replacement.

Probability of drawing a nine the first time and a hear the second time is given by

\dfrac{4}{52}\times \dfrac{13}{52}\\\\=\dfrac{1}{13}\times \dfrac{1}{4}\\\\=\dfrac{1}{52}

Hence, our required probability is \dfrac{1}{52}

You might be interested in
A washer and a dryer cost $713 combined. The washer costs $37 less than the dryer. What is the cost of the dryer
77julia77 [94]

Answer:

375

Step-by-step explanation:

713 - 37 = 676

676 divided by 2 = 338

That would be the washer but we need to add the 37 again for the dryer

338 + 37 = 375

3 0
3 years ago
A telemarketing company calls telephone numbers chosen at random. It finds that 30% of calls are not completed (the party does n
cupoosta [38]

Answer:

21%

Step-by-step explanation:

Actually there are three levels of process here.

If 100 calls are made only 70 calls are completed (since 30%not completed)

Out of these 70 completed we find that 40% i.e. 28 calls to a woman and 30% i.e. 21 go to a man.

28 females and 21 males

Out of 28 females 45% buy something =0.45*28=12.6

Out of 21 males 40% buy something = 0.4*21=8.4

Total percent of calls result in a sale = 12.6+8.4=21

So 21% of calls result in a sale

7 0
3 years ago
I need help my people
Vika [28.1K]

Answer:

A. no

Step-by-step explanation:

You might expect to use SAS in showing similarity, but the sides on either side of congruent angles M are in the ratio of 3:4 in one triangle and 2:3 in the other. Corresponding sides do not have the same ratio, so the triangles cannot be similar.

hoped i helped :) can i get brainiest!!

8 0
3 years ago
Read 2 more answers
The diagram shows one side of a storage barn.
EastWind [94]

Answer to A and B.

The area of rectangle: 22.8×14.5=330.6 ft²The area of rectangle: 22.8×14.5=330.6 ft²

The area of triangle: 12⋅12⋅22.8=136.8 ft²The area of triangle: 12·12·22.8=136.8 ft²

The total area of figure: 330.6+136.8=467.4 ft²The total area of figure: 330.6+136.8=467.4 ft²

B: In order to find how many gallons of paint are needed, we need to divide the total area that needs to be painted (467.4 square ft) by the area one gallon covers (350 square ft)

467.4 ÷ 350 ≈ 1.34 gallons

Since only whole gallons of paint can be purchased, you will need 2 gallons of paint.

At $20 each, the cost will be 2 x $20 or $40.

5 0
2 years ago
A and B are two events. P(A) = 0.54; P(B) =0.42; p(A or B) = 0.85. Find the probability of A and B.
lesantik [10]

Answer:

0.98

Step-by-step explanation:

Work Shown:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.13 + 0.85 - 0

P(A or B) = 0.98

Note that P(A and B) is 0. This is because we are told A and B are mutually exclusive events. This means both events cannot happen simultaneously. An example would be flipping a coin to have it land on heads and tails at the same time.

6 0
3 years ago
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