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asambeis [7]
3 years ago
8

Use the following problem to answer questions 7 and 8. Carrie draws 5 cards simultaneously from a well-shuffled deck of 52 playi

ng cards. 7. What is the probability that she chooses 3 spades and 2 cards that are not spades
Mathematics
1 answer:
Alexxx [7]3 years ago
8 0

Answer:

The probability that she chooses 3 spades and 2 cards that are not spades is

0.08154

Step-by-step explanation:

52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts

spades = 13

Non spades = 39

Selecting 3 spades = 13C3 (Using combination)

selecting 2 spades = 39C2

in total 5 cards are drawn = 52C5

Probability of drawing 5 cards (3spades+2 non spades)

                               =\frac{ 13C3*39C2}{52C5} = 0.08154

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2 plus 4 multiplied by negative 6 minus 3 multiplied by 5
Monica [59]

2\text{ + 4}\cdot(-6)\text{ - 3}\cdot5\text{ = 2 -24 - 15 = 2 - 39 = -37}

6 0
2 years ago
CRITICAL THINKING The total area of the polygon is 176 square feet. What is the value of $x$ ?
Katarina [22]

Answer:

x = 6

Step-by-step explanation:

this figure involves two triangle and one rectangle

for area of rectangle= Length * Width = 16 * 8 = 128 feet^2

for area of one triangle = 1/2 * base * height = 1/2 * x *8 = 4x

for two triangles = 8x ft^2 total

whole area = two triangles + one rectangle

176 = 8x + 128

8x =48

x = 6

8 0
3 years ago
Max is scuba diving at elevation of -64.5 feet, when friend signals to come higher. Max makes 2 ascents, each an equal distance
KengaRu [80]

Answer: - 42.95 feet

Explanation:

Let each ascent be x. Thus,

2 equal ascents = 2x

From the information given,

initial position = - 64.5 feet

Final position after 2 ascents = - 21.4 feet

This means that

- 64.5 + 2x = - 21.4

2x = - 21.4 + 64.5

2x = 43.1

x = 43.1/2

x = 21.55

Thus, Max's elevation after the first ascent is

- 64.5 + 21.55

= - 42.95 feet

4 0
2 years ago
Which polynomial is prime​
Vikentia [17]

We need more information. You don't give us enough information....? Provide an image please. Or at least name the polynomials...

7 0
4 years ago
What is the metric system
Anettt [7]

Answer:

the decimal measuring system based on the meter, liter, and gram as units of length, capacity, and weight or mass. The system was first proposed by the French astronomer and mathematician Gabriel Mouton (1618–94) in 1670 and was standardized in France under the Republican government in the 1790s.

Step-by-step explanation:

7 0
3 years ago
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