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3 years ago

How do you spell 4 billion in scientific notation

Mathematics

1 answer:

Tema [17]3 years ago

3 0

Answer:

<h2>4 bilion = 4 × 10⁹</h2>

Step-by-step explanation:

The scientific notation:

$a\cdot10^k$

where

$1\leq a$

4 billion:

in USA: 4,000,000,000

in Europe: 4 000 000 000 000

$4\underbrace{000000000}_9=4\cdot10^9$

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What is the solution set? −9.5x−1.5>−30<br> x= ?

Alborosie

Hi there!

x > 0.073171.
Why?

First to solve we need to add 30x to both sides of the inequality.

-9.5x - 1.5 + 30x > -30x + 30x
20.5x - 1.5 > 0

Next we need to add 1.5 to both sides.

20.5x - 1.5 + 1.5 > 0 + 1.5
20.5x > 1.5

Finally, divide both sides by 20.5.

20.5x/20.5 > 1.5/20.5

x > 0.073171

So our answer is x > 0.073171.

Hope this helps!

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4 years ago

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Krystal puts three pencils in order from longest to shortest what is a fast way to order the same pencils from shortest to longe

Verdich [7]

Swap the shortest and longest pencil's places. You don't have to move the middle pencil.

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4 years ago

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carlos registro la altura de una planta cada una semana y se dio cuenta que esta crecio constantemente 3 cm durante las primeras

kogti [31]

Answer:

yo soy inteligente

Step-by-step explanation:

pero no me se la respuesta de la perunta

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2 years ago

X is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability of randomly sampling a scor

VikaD [51]

Answer:

Using calculator: 0.0415

Using Z-score Table: 0.0418

Step-by-step explanation:

There are two ways you can solve this problem.

1. Use the normal distribution function on a calculator.

Entered values:

Lower Limit: 126

Upper Limit: 999999999999999... (To encompass all the data)

Standard Deviation: 15

Mean: 100

2. Find the Z score and look up probabilities on table.

Formula for Z score:

$Z=\frac{x-mean}{standard deviation} \\\\Z= \frac{126-100}{15}=1.7333...$

Z = 1.7333

This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.

This will show us the probability of the random sampling being equal to or lower than 126.

P = 0.9582

So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.

1-0.9582 = 0.0418

NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.

Hope this helped!

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3 years ago

What is the fewest number of points you must plot in order to have examples of all four sets of numbers, including at least one

Over [174]

Answer:

Let's define the sets:

Integers: The set of all whole numbers.

Rational: Numbers that can be written as the quotient of two integer numbers.

Natural: The set of the positive integers.

Whole numbers: All the numbers that can be made by adding (or subtracting) 1 a given number of times.

Then:

2 is a:

Whole number because 1 + 1 = 2 (then it is also a integer)

We can write 2 = 4/2

Then 2 is the quotient of two integer numbers, then it is rational.

2 is positive and is an integer, then it is a natural number.

Then number 2 is an example of all four sets.

If we also want to include a negative number, we can use -3

-3 is an integer, is a whole number, and 9/-3 = -3, then it is also a rational number.

Now, answering the questions:

a) We can use only one example for all four sets, but in this case i gave 2.

b) in the same way that i prove that 2, a positive integer, belongs to the four sets, we can do the same for every positive integer, then:

Positive integers belong to:

The set of integers.

The set of natural numbers.

The set of rational numbers.

The set of whole numbers.

8 0

4 years ago