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3 years ago

14

Suppose the leftmost digits of two numbers are 8 and 3. Can you tell which number is greater? Explain.

1 answer:

jenyasd209 [6]3 years ago

3 0

It would be 8 because 3 less than 8.
Hope this helps! :D

You might be interested in

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

5 0

2 years ago

iogann1982 [59]

Answer:a

Step-by-step explanation:

6 0

2 years ago

Which value of n makes the following equation true?

grin007 [14]

Answer: d. 512

Step-by-step explanation:

You need to remember that:

$(\sqrt[3]{x})^3=x$

Then, given the equation:

$\sqrt[3]{n}=8$

You can find the value of "n" that make the equation true, by solving for "n".

So, to solve for "n", you need to raise both side of the equation to power 3. Therefore, you get:

$\sqrt[3]{n}=8$

$(\sqrt[3]{n})^3=(8)^3$

$n=512$

Then, the value of "n" that makes the equation $\sqrt[3]{n}=8$ true is: 512 (You can observe that this matches with the option d).

6 0

3 years ago

John is choosing a password for his access to the internet. He decided not to use the digit 0 or the letter M. Each letter or nu

mafiozo [28]

25 letters for first spot
25 letters for second spot
$25 ^{2} = 625$
9 numbers
$9 ^{4} = 6561$
6561 times 625
=4,100,625

3 0

2 years ago

The mean cost for a pint of frozen yogurt is $1.50, with a standard deviation of $0.10.

djverab [1.8K]

Answer:

The correct answer is:

0.01$ (c)

Step-by-step explanation:

Standard deviation is a measure of how spread out numbers are from the mean value. The formula for standard deviation is given by:

$s = \sqrt{\frac{\sum(x - \bar x)}{n} } \\where:\\x = sample\ \\\bar x\ = mean\\n\ = number\ of\ samples\$

Variance is a measure of the squared differences from the mean.

Variance is simply the square of the standard deviation. It is mathematically shown as:

$s^2 = \frac{\sum(x - \bar x)}{n} }$

Now in our example,

Stabnard deviation = $0.10

Variance = (standard deviation)²

Variance = (0.10)²

Variance = $0.01

6 0

3 years ago