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vichka [17]
3 years ago
13

Earth revolves around the Sun in 365 days, but the planet Mercury does so in only 88 days. Compared to Earth, how many more comp

lete revolutions will Mercury make in 1000 days?
Mathematics
1 answer:
Elena L [17]3 years ago
5 0

Answer:

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

Step-by-step explanation:

<u>Earth</u> takes 365 days to make a complete revolution.

we can say that the rotational speed of Earth is \dfrac{1}{365}\frac{\text{rev}}{\text{day}}

so, in a 1000 days how many revolutions will Earth have made?

\dfrac{1}{365}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})

see that the 'day's cancel out. Simply multiply the two numbers!

2.739\text{rev}

<u>Next, do the same for Mercury</u>

we can say that the rotational speed of Mercury is \dfrac{1}{88}\frac{\text{rev}}{\text{day}}

as it completes 1 revolution in 88 days.

so, in a 1000 days how many revolutions will Mercury have made?

\dfrac{1}{88}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})

multiplying by 1/88 by 1000 yields:  

11.363\text{rev}

The Question is how many MORE complete revolutions will Mercury make in 1000 days?

We need to subtract the revolutions of Mercury with Earth to find how far ahead is Mercury from Earth

11.363\text{rev} - 2.739\text{rev}

8.624\text{rev}

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

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A company surveyed 2,600 North American airline passengers and reported that approximately 75% said that they carry a smartphone
geniusboy [140]

The probability that exactly six out of ten carry a smartphone when travelling is; <u><em>P(6) = 0.146</em></u>

The missing part of the question is;

The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.

Calculate P(6)

  • This is a binomial <em>probability distribution</em> problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾

Where;

p is probability of success

q is probability of failure

n is number of experiments

In this question;

n = 10

p = 75% = 0.75

q = 1 - p

q = 1 - 0.75

q = 0.25

Since six passengers are randomly selected, then applying the formula earlier quoted, we have;

P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾

P(6) = 0.146

Read more at; brainly.com/question/24239758

4 0
2 years ago
What set of transformations is performed on triangle RST to form triangle R’S’T’?
DanielleElmas [232]

Answer:

The last option is correct

Step-by-step explanation:

A translation of 2 units down takes S to the point (1, -1). Then a counterclockwise rotation  about the origin  takes S to the point  (-1, -1)  where we have S' .  

8 0
3 years ago
Read 2 more answers
A website offers video game downloads for $5 each. customers can also subscribe for us
Nikitich [7]

Answer:

Here is the answer

Step-by-step explanation:

Btw brainliest me plss

8 0
3 years ago
Change 64 hours to minutes
yawa3891 [41]

Answer:

3840 minutes

Step-by-step explanation:

60x64= 3840

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8 0
2 years ago
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(1) Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph.
Maurinko [17]
<h3>Answer:</h3>

B) 6 hours

<h3>Step-by-step explanation:</h3>

Let h represent the total trip time. Then h/2 is the time spent traveling at each speed. The distance covered is ...

... distance = speed · time

The sum of the distances in each mode is the total distance.

... 1020 = 55·h/2 +285·h/2

... 2040 = h·(55+285) . . . . multiply by 2

... 2040/340 = h = 6 . . . . . . . divide by the coefficient of h

The trip took a total of 6 hours.

4 0
3 years ago
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