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Thepotemich [5.8K]
4 years ago
13

You roll a number cube three consecutive times. What is the probability that you roll an even number the first two times and a 3

the last time?
Mathematics
2 answers:
ivann1987 [24]4 years ago
7 0

Answer:

1/24.

Step-by-step explanation:

Probability(Rolling an even number)

= 3/6 = 1/2.

Probability(Rolling a 3) = 1/6.

Required Probability = 1/2 * 1/2 * 1/6

= 1/24.

The probabilities are multiplied because the 3 events are independent.

Alex_Xolod [135]4 years ago
4 0

Answer:

1/24

Step-by-step explanation:

A die has 6 faces with numbers 1 through 6. Three faces have even numbers, and 3 faces have odd numbers.

Each roll of the die can result in 6 different outcomes.

The total number different outcomes of rolling a die 3 times is 6 * 6 * 6 = 216.

There are 3 possible even number outcomes on the first roll, and another 3 possible even number outcomes on the second roll. The third roll needs to be a 3, so there is one single desired outcome of the third roll.

Total number of desired outcomes: 3 * 3 * 1 = 9

probability(even, even, 3) = 9/216 = 1/24

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Answer:

5)

x=13.856

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6)

u=4

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Step-by-step explanation:

5)

y=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)

y = 16*sin(30)/sin(90)

y=8

x=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)

x=16*sin(60)/sin(90)

x=13.856

6)

sinA/(opposite of angle A) = sinB/(opposite side of angle B) = sinC/(opposite of side of angle C)

sin(90)/u= sin(30)/2

u *sin(30) = 2* sin(90)

u *sin(30) = 2

u=2/sin(30)

u=2/0.5

u=4

sin(60)/v= sin(30)/2

v *sin(30) = 2* sin(60)

v *sin(30) = 2 * 0.866

v * sin(30) = 1.73

v = 1.73/sin(30)

v = 3.464

8 0
2 years ago
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Mauro has 140 ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the sho
ipn [44]
140= x +3x
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The sum<br> of two numbers is 72. The difference is<br> 22. Find the two numbers.
kotegsom [21]

Answer:

b= 25

Step-by-step explanation:

a+b =72

a-b = 22

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DBS(Divide Both Side) by 2

a = 47

=47 +b =72

and:

47 -b =22

subtract 47 from both sides:

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Help!!! I don’t understand how to do this
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Answer:

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Step-by-step explanation:

the sum of supplementary angles=180

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angle=180-155

angle=25 degrees

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x=95

angle with (?):

the sum of supplementary angles=180

95+(?)=180

(?)=180-95

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An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and
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