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Nana76 [90]
2 years ago
6

An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. As

tronomers also use light years to measure distance. A light year is approximately 9.5×10^12
km.

Use scientific notation to rewrite the measure of one astronomical unit (1 AU) in kilometers
Mathematics
1 answer:
Dimas [21]2 years ago
5 0

Using scientific notation, it is found that the measure of one astronomical unit in kilometers is 1.5 \times 10^8

A number in <em>scientific notation</em> is given by:

a \times 10^b

  • In which a \in [1, 10)
  • To realize the conversion from decimal to scientific notation, b is the number of decimal places the comma moves, being positive if to the left, negative if to the right.  

In this problem, 1 AU = 150,000,000 km.

  • The comma has to move 8 places to the right, hence b = 8

Then, the measure is: 1.5 \times 10^8

For more on scientific notation, you can check brainly.com/question/16394306

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Ms.Ambrose paid $10 for 1.25 pounds of almonds. How much did the almost cost per pound
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Answer:

A

Step-by-step explanation:

10 divided by 1.25=8

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ASAP HELP:The number of chapters read, y, after x days. The 5 slope of the line is and the y-intercept is 2. slope means... y-in
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Step-by-step explanation:

The number of chapters read = y

Number of days spent to read = x

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y-intercept = 2

Slope means "number of pages read per day"

For slope = 1.25 means "1.25 pages read per day"

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3 years ago
"If the probability of an event is observed repeatedly during independent repetitions than the ratio of the observed to the tota
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Answer:

This is the Law of <u>large</u> Numbers.

Step-by-step explanation:

The Law of Large numbers states that as the sample size is increased the sample mean value gets closer to the population mean.

That is, as <em>n</em> → ∞ the value of \bar x → μ.

For instance, the theoretical probability of getting a Heads in a toss of a coin is, 0.50.

To check this perform an experiment whether the coin is tossed 20 times.

The probability of heads will be somewhere near 0.50.

Now toss the coins 50 times.

The probability of heads will be now closer to 0.50.

Now toss the coins 100 times.

The probability of heads will be approximately equal to 0.50.

Thus, as the number of tosses was increased the probability of getting a head is closer tot he theoretical probability.

Thus, the complete statement is:

This is the Law of <u>large</u> Numbers.

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3 years ago
Point M is the midpoint of segment AB.<br> AM=3x+40 and MB=x^2. Find x and AB
Nina [5.8K]

\text{Hello there! :)}

x = 8\\\\AB = 128 \text{ units}

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\

\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\

\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40

\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8

\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8

\text{Substitute in this value of x into either AM or MB to solve for AB:}

AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}

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