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vredina [299]
3 years ago
11

Use the method of your choice to determine the probability below. Being dealt three sixes off the top of a standard deck of well

-shuffled cards. The probability is . (Type an integer or a simplified fraction.)
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:

1/5525

Step-by-step explanation:

We now that a standard deck has 52 different cards. Also we know that a standard deck has four different suits, i.e., Spades, Hearts, Diamonds and Clubs.  We can find the following cards for each suit: Ace, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King.

Now, the probability of getting any of these cards off the top of a standard deck of well-shuffled cards is 1/52. As we have 4 different sixes, we have that the probability of getting a six is 4/52. When we get a six, in the deck only remains 3 sixes and 51 cards, so, the probability of getting another six later is 3/51. When we get the second six, in the deck only remains 2 sixes and 50 cards, so, the probability of getting the third six is 2/50. As we have independet events, we should have that the probability of getting 3 sixes off the top of a standard deck of well-shuffled cards is

(4/52)(3/51)(2/50)=

24/132600=

12/66300=

6/33150=

3/16575=

1/5525

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An activity has an optimistic time estimate of 25 days, a most likely estimate of 29 days, and a pessimistic estimate of 34 days
Margaret [11]

The expected duration of the activity is 29 days and 4 hours.

Step-by-step explanation:

Step 1:

The optimistic time, t_{o} = 25 days,

The most likely estimate, t_{m} = 29 days.

The pessimistic time, t_{p} = 34 days.

According to PERT, the expected duration of the activity, t_{e} = \frac{t_{0}+4t_{m} +t_{p}  }{6}.

Step 2:

By substituting the given values, we gett_{e} = \frac{t_{0}+4t_{m} +t_{p}  }{6} = t_{e} = \frac{25+4(29) +34  }{6} = \frac{175}{6} = 29.1666.

0.1666 days = 0.1666 (24) = 3.9999 hours.

29.1666 days approximately equal 29 days and 4 hours.

8 0
3 years ago
Dana saved 450 for food for her upcoming vacation. The breakfast was included with their hotel, but lunch and dinner are not. Wh
zzz [600]

Answer:

10d + 40r \leq 450

Step-by-step explanation:

Given

Savings = 450

Dana\ Cooks, d = 10

Restaurant, r = 40

Required

Represent this as an inequality

When Dana cooks;

Cost\ per\ meal = 10

Cost\ per\ d\ meals = d * 10

Cost\ per\ d\ meals = 10d

At Restaurant

Cost\ per\ meal = 40

Cost\ per\ r\ meals = 40 * r

Cost\ per\ r\ meals = 40 r

Add these two results:

Result = 10d + 40r

<em>To represent as an inequality, the above result must be less than or equal to Dana's total savings</em>

i.e.

10d + 40r \leq 450

3 0
3 years ago
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Sveta_85 [38]
Divide each one, ex: 2÷12=2/12
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A farmer performs an experiment to find the amount of fertilizer needed to increase crop yields. She uses different
Ksenya-84 [330]

Answer:

C.

Step-by-step explanation:

6 0
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4(x - 2 + y) =( Apply a distribute property to create an equivalent expression
Leno4ka [110]

Answer:

4x + 4y - 8

Step-by-step explanation:

Step 1: Distributive Property

Distributive property says you would multiple all the terms inside the bracket by the coefficent infront of the bracket

Step 2: Solve

4x-8+4y\\4x+4y-8

Step 3: Therefore Statement

Therefore 4(x - 2 + y) simplifies into 4x + 4y - 8

8 0
3 years ago
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