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erma4kov [3.2K]
3 years ago
8

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. What’s the probability of rolling

a 6.
Mathematics
2 answers:
konstantin123 [22]3 years ago
7 0

Answer:

8.33333333%

Step-by-step explanation:

You have to divide 100 by 12.   Then that number is your percentage.

BigorU [14]3 years ago
6 0

Answer:

8.3%

Step-by-step explanation:

There are 12 total events (for the 12 numbers) and one preferred event (for rolling the number 6).

\frac{preferred}{total} =\frac{1}{12} =0.08333333333 = 8.3%

There should be an 8.3% chance that you would roll six.

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A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day
Gnesinka [82]

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

x = 82.02 mi

B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

4 0
3 years ago
PLZZZZZ HELP ME ANYONE PLEASE HELP ME :(! Marcus has a box that is 4 1/2 feet long, 1/2 foot wide, and 2 feet high. What is the
Keith_Richards [23]

Answer:

4.5

Step-by-step explanation:

4 0
3 years ago
What is the y intercept of the linear equation x
spin [16.1K]

x isn't a linear equation, it's just a variable or an expression or a letter of the alphabet.

x = 0 is a linear equation and is a line in the Cartesian plane. In fact, it's the y axis itself.

So every point on the line x=0 is a y intercept.

There is no "the" y intercept, no unique y intercept.

4 0
3 years ago
Read 2 more answers
Can someone help me pls
gayaneshka [121]

Answer:

i think you add them not sure...

Step-by-step explanation:

40+44+44+??

ok?

8 0
2 years ago
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4/? = ?/ 9
svet-max [94.6K]

Set ? as x, and cross-multiply.

so x^2= 36

x = 6 or x = -6

3 0
3 years ago
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