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Valentin [98]
3 years ago
12

Select all the situations that describe a probability of 1/6 of drawing a red marble out the bag.

Mathematics
1 answer:
konstantin123 [22]3 years ago
6 0
The correct answer is E (6 red, 4 yellow, 8 green, 6 blue, 12 white).

E) 6 + 4 + 8 + 6 + 12 = 36 (total marble count)
6 red/36 total marbles
simplify to find the probability ⬇️
(6/6=1; 36/6=6) = 1/6 chance of picking red
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Suppose a poker hand contains seven cards rather than five. Compute the probabilities of the following poker hands: (a) a seven-
geniusboy [140]

Answer:

a) 0.00031

b)  0.0017

c)  0.31

d) 0.00018

Step-by-step explanation:

attached below is the detailed solution

Total number of 7-poker cards are 52P7 = 133784560

A) Determine the probabilities of Seven-card straight

probability of seven-card straight = 0.00031

B) Determine the probability of four cards of one rank and three of a different rank

P( four cards of one rank and three of different rank ) = 0.0017

C) Determine probability of three cards of one rank and two cards of each two different ranks

P( three cards one rank and two cards of two different ranks ) = 0.31

D) Determine probability of two cards of each of three different ranks and a card of a fourth rank

P ( two cards of each of three different ranks and a card of fourth rank ) =  0.00018

8 0
2 years ago
Question 374756: Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels
Dvinal [7]

Let the number of hours = X

Multiply the speed of each train by the number of hours (x) and add them together to equal the total miles:

75x + 95x = 238

Simplify:

170x = 238

Divide both sides by 170:

x = 238/170

x = 1.4 hours.

Check:

75 x 1.4 = 105 miles

95 x 1.4 = 133 miles

105 + 133 = 238 miles

It will take 1.4 hours ( 1 hour and 24 minutes).

3 0
3 years ago
I need help with these questions ( see image for question ).<br>Please show working.<br>​
antiseptic1488 [7]

Answer:

  • k = -4 ± 2√5

Step-by-step explanation:

#22

<h3>Given </h3>
  • Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
  • The value of k
<h3>Solution</h3>

<u>The equation in standard form is:</u>

  • x² -4x + 1 = k(x - 4)
  • x² - 4x - kx + 1 + 4 = 0
  • x² - (k + 4)x + 5 = 0

<u>When the quadratic equation has equal roots its discriminant is zero</u>

  • D = 0
  • b² - 4ac = 0
  • (k + 4)² - 4*5 = 0
  • (k + 4)² = 20
  • k + 4 = ± √20
  • k = - 4 ± √20
  • or
  • k = -4 ± 2√5
5 0
2 years ago
9/10 divided by 3/5<br> please helppp
Westkost [7]

Answer:

=1.5

Step-by-step explanation:

3 0
2 years ago
What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?
tia_tia [17]
The answer is (5, -4).
4 0
3 years ago
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