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3 years ago

How many five-digit codes can be made if the first number cannot be a 0 or a 1 and no numbers can repeat?

Mathematics

1 answer:

Makovka662 [10]3 years ago

6 0

Answer:

24,192.

Step-by-step explanation:

The first number must be one of 2,3,4,5,6,7,8 or 9. That is 8 possibilities.

The number of permutations of the other 4 numbers is 9P4

= 9! / (9-4)!

= 3024

Now we multiply by the 8:

3024 * 8

= 24,192.

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What decimal is equivalent to 5.8

Mkey [24]

Answer: 5.8% = 0.058 in decimal form.

Step-by-step explanation:

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3 years ago

a rectangle has a length if x + 7 centimeters. The perimeter of the rectangle is 23 centimeter. What is the value of x

Tems11 [23]

$23 = 14 + 2x$
$reasoning \: for \: each \: term \: in \: the \\ \: above \: equation\\ \\ p = 23 \\ 14 = 7 \times 2 \\ 2x = 2 \times x$
$\: \: \: \: \: 23 - 14 \: \: \: \: \: \: \: \: \: \: \: \: \: \: 14 + 2x - 14 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 9 = 2x$
$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 9 \div 2 \: \: \: \: \: \: \: \: \: 2x \div 2 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 4.5 = x$
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3 years ago

The length of a rectangular is 5/2 unites greater then twice its width if it’s width w which expression gives the perimeter of t

strojnjashka [21]

If width is w the length can be represented as 5/2+2w.

Formula for perimeter is 2l + 2w

So it would be 2w + 2(5/2 + 2w)

OR 2w + 5 + 4w

OR 6w + 5

See if this helps ;)

5 0

3 years ago

The table shows the number of minutes Garrett practiced his trombone each week in one month. Week Number of Minutes Practiced 1

vredina [299]

Answer:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

The reason is because we assume that each week have the same weight and replacing we got:

$\bar X= \frac{190+163+327+205}{4}= 221.25$

And the best option would be:

D. 221.25

Step-by-step explanation:

For this case we have the following data given

Week 1 2 3 4

Minutes 190 163 327 205

For this case we can find the mean with the following formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

The reason is because we assume that each week have the same weight and replacing we got:

$\bar X= \frac{190+163+327+205}{4}= 221.25$

And the best option would be:

D. 221.25

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3 years ago

It’s about solving systems of equations...

Kamila [148]

Answer:

(-1,-1)

Step-by-step explanation:

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3 years ago