You draw two cards without replacement from a standard deck of 52 cards. What is the

Mathematics

1 answer:

nikdorinn [45]3 years ago

3 0

Answer: 4/663

Step-by-step explanation:

There are 4 6s and 4 7s, so the probability of getting a 6 on the first draw is 4/52 or 1/13. After the first draw there are 51 cards remaining (given your no replacement assumption), and there are 4 7s, so the probability of getting a 7 is 4/51.

The overall probability is

1/13 x 4/51 = 4 / 663

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Metal A has a density of 12.7 g/cm3.

stira [4]

Using the given information, the density of metal B is 8.58 g/cm³

<h3>Calculating density </h3>

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

Learn more on Calculating density here: brainly.com/question/13986137

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2 years ago

One number exceeds another by 1. the sum of the numbers is 21. what are the numbers

Cerrena [4.2K]

Try this solution:
1. if 1st number is 'x', the 2d number is 'y', then it is possible to make up the system of two equation according to the condition:
$\left \{ {{x-y=1} \atop {x+y=21}} \right. \ =\ \textgreater \ \ \left \{ {{x=11} \atop {y=10}} \right.$
2. one number is 11, another number is 10.

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3 years ago

What is the r-value of the following data to three decimal places

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Answer:

option B

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