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2 years ago

List the measurements below from from smallest to largest. 7cm 18mm 1m 3dm

1 answer:

6 0

To give us a basis of comparison in arranging the given values from smallest to largest, we should expressed all values in one unit only. For this case, let us convert all units in terms of mm so that we can compare.

We know that:

1 m = 10 dm = 100 cm = 1000 mm

Therefore,

A. 7 cm --> 7 cm (1000 mm / 100 cm) = 70 mm

B. 18 mm

C. 1 m --> 1 m (1000 mm / 1 m) = 1000 mm

D. 3 dm --> 3 dm (1000 mm / 10 dm) = 300 mm

Since they are now expressed in same units, we can arrange the numbers from smallest to largest:

18 mm, 7 cm, 3 dm, 1 m

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Anton [14]

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2 years ago

A computer system uses passwords that are six characters, and each character is one of the 26 letters (a–z) or 10 integers (0–9)

Blababa [14]

First of all, since we have 36 characters available per spot (26 letters and 10 digits), and we have 6 spots, we have a total of

$36^6$

possible passwords.

Event A happens if the password starts with either a, e, i, o or u. If we fix the first character, we're left with 36 characters available for each of the remaining 5 spots, leading to a total of

$5\cdot 36^5$

possible passwords.

So, the probability of event A, computed as the ratio between "good" cases and all possible cases, is

$\dfrac{5\cdot 36^5}{36^6}=\dfrac{5}{36}$

Event B works exactly the same, since we're fixing the last spot, leaving 36 characters available for each of the first 5 spots. So, we have

$P(A)=P(B)=\dfrac{5}{36}$

As for the intersection, we want the first character to be a vowel, and the last character to be an even digits. There are 25 passwords satisfying this request:

$axxxx0,\ axxxx2,\ axxxx4,\ axxxx6,\ axxxx8$

$exxxx0,\ exxxx2,\ exxxx4,\ exxxx6,\ exxxx8$

$ixxxx0,\ ixxxx2,\ ixxxx4,\ ixxxx6,\ ixxxx8$

$oaxxxx0,\ oxxxx2,\ oxxxx4,\ oxxxx6,\ oxxxx8$

$uxxxx0,\ uxxxx2,\ uxxxx4,\ uxxxx6,\ uxxxx8$

Where x can be any of the 36 characters.

So, we have 25 cases with 4 vacant slots, leading to a probability of

$P(A\cap B)=\dfrac{25\cdot 36^4}{36^6}=\dfrac{25}{1296}$

Finally, you can compute the probability of the union using the formula

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Since we already computed all these quantities.

7 0

2 years ago

Add. ( 3 4 x - 1) + ( 3 4 x - 2) A) 1 B) -3 C) 3 2 x - 3 D) 3 4 x + 1

DedPeter [7]

The answer would be C. hope that helps out :)

8 0

3 years ago

Read 2 more answers

Many times business will raise the prices of their goods

hjlf

The price that will maximize profit is $ 5.50.

Since an auditorium has seats for 1200 people, and for the past several days, the auditorium has been filled to capacity for each show, and tickets currently cost $ 5.00 and the owner wants to increase the ticket prices, and he estimates that for each $ 0.50 increase in price, 100 fewer people will attend, to determine which is the price that will maximize profit, the following calculation must be made:

1200 x 5 = 6000
1100 x 5.5 = 6050
1000 x 6 = 6000

Therefore, the price that will maximize profit is $ 5.50.

Learn more in brainly.com/question/25313241

7 0

2 years ago

What's the square root of 30(.8)(90)??

Burka [1]

square root of 30(.8)(90)
√30(.8)(90)
√2700(.8)
√2160
12√15

3 0

3 years ago