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3 years ago

10

Suppose that from a standard deck, you draw three cards without replacement. What is the expected number of kings that you will

draw?

1 answer:

aksik [14]3 years ago

3 0

I would say... None.
Hope this helps ٩(๑❛▽❛๑)۶

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10 millions look at the added image

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Please help out. Max points given a=12; b=?; c=22

Keith_Richards [23]

18.44 because Pythagorean Theorem says that 12^2 + b^2 = 22^2. Then to solve you square the numbers, 144 - b^2 = 484, then subtract 144 from 484 and get 340, and the square root of 340 is 18.44.

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Miguel quiere entrenar para la carrera solidaria de verano en uno de los dos parques que tiene cerca de casa. Su plan es correr

kondor19780726 [428]

Answer:

<em>The square park is more convenient.</em>

Explanation:

The translation of the question is:

<em>Miguel wants to train for the summer solidarity race in one of the two parks that he has close to home. His plan is to run about 10 km each day and he wants to do an exact number of laps around the park to always start and end at the entrance. Since he has not quite decided between the square and the rectangular park, he decides to do some calculations to see which one suits him best.</em>

<em>Square park: 423 meters each side</em>

<em>Rectangular park: 673 meters measures the base and 218 meters the height</em>

<em />

<h2>Solution</h2>

<u />

<u>1. Calculate the perimeter of the square park</u>

The perimeter of a square is the sum of the four side lengths. Since they are equal it is:

Perimeter = 4 × side lenght

Perimeter = 4× 423m = 1,692 m

<u />

<u>2. Calculate how many times 1,692m is in 10 km</u>

10 km is 10,000 m. Then, divide 10,000 by 1,692 m:

Number of laps = 10,000m / 1,692m ≈ 5.91 laps

<u>3. Calculate the perimeter of the rectangular park</u>

Perimeter = 2×base + 2×height

Perimeter = 2×673m + 2×218m = 1,782m

<u>4. Calculate how many times 1,782 is in 10km</u>

Number of laps = 10,000m / 1,782m ≈ 5.61 laps

Then, since the number 5.91 is closer to an integer number than 5.61, you conclude that the square park is more conventient, because by running 6 laps around the square park the number of kilometers run will be closer to 10 km than with any number of complete laps in the rectangular park.

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3 years ago

49<br> 5<br> as a mixed number.

nikdorinn [45]

Answer:

9 4/5

Step-by-step explanation:

I belive you meant 49/5 where the correct answer would be 9 4/5

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A student solves the compound inequality 15 ≤ 2x + 5 ≤ 17 and finds the solutions of the compound inequality to be all real numb

Georgia [21]

Answer:

The solutions of the compound inequality is 5 ≤ x ≤ 6

Step-by-step explanation:

A compound inequality is two or more inequalities joined. For its resolution, each inequality must be solved separately. In the case of 15 ≤ 2x + 5 ≤ 17, you have:

Inequality (A) 15 ≤ 2x + 5 and Inequality (B) 2x + 5 ≤ 17

The solution of the inequalities consists of finding the value that the unknown x must take for the inequality to be fulfilled, passing all the terms with x to one member (for example to the first member), and all the numbers (terms without x) to the other member through the opposite operation (The opposite operation to addition is subtraction and vice versa, and the opposite operation to multiplication is division and vice versa). In this case, solving the inequalities:

Inequality (A) 15 ≤ 2x + 5

15 - 5 ≤ 2x

10 ≤ 2x

10÷2 ≤ x

5 ≤ x

Inequality (B) 2x + 5 ≤ 17

2x ≤ 17 -5

2x ≤ 12

x ≤ 12÷2

x ≤ 6

The solution of a compound inequality are all the solutions that have in common the two inequalities. Graphically, it is as if they were two graphs that overlap.

So, in this case <u><em>the solutions of the compound inequality is 5 ≤ x ≤ 6</em></u>

In the image you can see the solution to the compound inequality.

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