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3 years ago

Determine if the number is written in scientific notation. if not explain 5.6 x 10^12

Mathematics

2 answers:

mixer [17]3 years ago

4 0

Answer:

C. Yes, the number is written in scientific notation.

Step-by-step explanation:

We have been given a number $5.6\times 10^{12}$ . We are asked to determine whether our given number is written in scientific notation or not.

We know that when a number greater than 1 and less than 10 is multiplied by a power of 10, then the number is written in scientific notation.

Upon looking at our given number we can see the number 5.6 is between 1 and 10. In addition, 5.6 is being multiplied by 10 to the power 12.

Therefore, our given number is written in scientific notation and option C is the correct choice..

Illusion [34]3 years ago

3 0

The <u>correct answer</u> is C) yes, the answer is written in scientific notation.

Explanation:

In scientific notation, we have a decimal number multiplied by a power of 10. The decimal number has the decimal point behind the first non-zero digit, and the exponent on the power of 10 tells us how many places to move the decimal.

In this problem, we have 5.6, which has the decimal after the first non-zero digit. We also have 10¹², which tells us to move the decimal 12 places.

This is in scientific notation.

You might be interested in

How many numbers are equal to the sum of two odd, one-digit numbers?

Dennis_Churaev [7]

Answer:

Seven numbers.

Step-by-step explanation:

Finding the numbers, which are equal to the sum of two odd number and it has to be single digit number.

Lets look into numbers which are odd and single digit.

1 = $1+3, 1+5, 1+7, 1+9$

∴ Sum of the number is $4,6,8\ and\ 10$

3 = $3+5, 3+7, 3+9$

∴ Sum of above number is $8,10\ and\ 12$

5 = $5+7, 5+9$

∴ Sum of above number is $12\ and\ 14$

7= $7+9$

∴ Sum of above number is $16$

Now, accumlating numbers which are fullfiling the criteria, however, making sure no number should get repeated.

∴ Numbers are: $4,6,8,10,12,14\ and\ 16$

Hence, there are total 7 numbers, which are equal to the sum of two odd, one-digit numbers.

4 0

3 years ago

Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

$P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10$