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3 years ago

11

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}. Find the probability of rolling

a number less 3?

1 answer:

vredina [299]3 years ago

4 0

Since there is only 2 numbers smaller than 3 on the die it would be 2 out of 12

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Lee watches TV for 3 hours per day. During that time, the TV consumes 250 watts per hour. Electricity costs (12 cents)/(1 kilowa

lana66690 [7]

<h2>184 cents in a month. </h2><h2>All you have to do is multiply 12 cents by 3 hours.Making it 36.</h2><h2>Then multiply 36 by 30.</h2>

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3 years ago

The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

Galina-37 [17]

Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

µ = (0 + 50)/2 = 25

σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

7 0

2 years ago

There are infinitely How many pairs of numbers of which the sum of their cube roots is zero give two of these pairs

ivanzaharov [21]

Answer:

Infinite pairs of numbers

1 and -1

8 and -8

Step-by-step explanation:

Let x³ and y³ be any two real numbers. If the sum of their cube roots is zero, then the following must be true:

$\sqrt[3]{x^3}+ \sqrt[3]{y^3}=0\\ \sqrt[3]{x^3}=- \sqrt[3]{y^3}\\x=-y$

Therefore, any pair of numbers with same absolute value but different signs fit the description, which means that there are infinite pairs of possible numbers.

Examples: 1 and -1; 8 and -8; 27 and -27.

8 0

3 years ago

Explain why a + b = d.<br> B<br> A<br> C<br> swer

bixtya [17]

Answer:

<em>Explanation below</em>

Step-by-step explanation:

<u>Angles in a Triangle</u>

There are two basic relations of angles we need to recall:

Supplementary angles add up to 180°
Internal angles of a triangle add up to 180°

Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:

c = 180 - ( a + b )

Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus

c = 180 - d

From the two relations above, it follows that:

a + b = d

4 0

2 years ago

What is the answer to this

SVEN [57.7K]

Answer:

D) 14.25

Step-by-step explanation:

It's basically saying when you use the ruler to measure something it will measure in 0.25. And will continue on to 0.50, 0.75, 1.00, 1.25, etc..

4 0

1 year ago