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3 years ago

The length of a planet's orbit around a star is approximately 17,650,000 km.

Mathematics

1 answer:

daser333 [38]3 years ago

8 0

Answer:

1150 km/hr

Step-by-step explanation:

Formula for Average Speed is given as = Distance in Kilometers/ Time in Hours

In the question we are given the following parameters.

The length of a planet's orbit around a star = Distance = 17,650,000 km.

Time taken to complete a full orbit = 640 Earth days

Step 1

We need to convert the time in days to hours

1 Earth day = 24 hours

640 Earth days =

We cross multiply

640 Earth days × 24 hours

= 15360 hours.

Step 2

Average Speed = Distance in Kilometers/ Time in Hours

Average Speed = 17,650,000 km. /15360 hours

Average Speed = 1149.0885417 km/hr

Approximately to 3 significant figures=

1150 km/hr

Therefore, the planets average speed in kmh-1 to 3sf is 1150 km/hr

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Answer:

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Step-by-step explanation:

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3 years ago

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jekas [21]

Answer:

4.30m/hr

Step-by-step explanation:

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3 years ago

What is the area of the shaded region?

USPshnik [31]

Answer:

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Hope this helps!

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3 years ago

How many solutions does the following equation have?

RoseWind [281]

Answer:

There will be No solution for the equation $9x - 4 = - 3x + 5 + 12x$ . Option B is correct.

Step-by-step explanation:

We need to determine how many solutions the equation $9x - 4 = - 3x + 5 + 12x$ have.

Solving the equation and finding the solutions

$9x - 4 = - 3x + 5 + 12x$

Combining like terms, Moving 3x and 12x to left side of equality and changing their signs and moving 4 on right side of equation and changing sign.

$9x +3x-12x = 5 + 4$

Simplifying

$12x-12x = 9\\0=9$

Solving the equation we get 0=9 which is false. So, there will be No solution for the equation $9x - 4 = - 3x + 5 + 12x$ . Option B is correct.

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2 years ago

Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass funct

Basile [38]

This question is incomplete, the complete question is;

Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass function for X is:

x 0 0.5 1 1.5 2 2.5

f(x) 0.1 0.2 0.3 0.2 0.1 0.1

determine;

a) P( X < 2.5 )

B) P( 0.75 < X ≤ 1.5 )

Answer:

a) P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 ) = 0.5

Step-by-step explanation:

Given the data in the question;

The probability mass function for X is:

x 0 0.5 1 1.5 2 2.5

f(x) 0.1 0.2 0.3 0.2 0.1 0.1

a) P( X < 2.5 )

P( X < 2.5 ) = p[ x = 0 ] + p[ x = 0.5 ] + p[ x = 1 ] + p[ x = 1.5 ] + p[ x = 2 ]

P( X < 2.5 ) = 0.1 + 0.2 + 0.3 + 0.2 + 0.1

P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 )

P( 0.75 < X ≤ 1.5 ) = p[ x = 1 ] + p[ x = 1.5 ]

P( 0.75 < X ≤ 1.5 ) = 0.3 + 0.2

P( 0.75 < X ≤ 1.5 ) = 0.5

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3 years ago