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romanna [79]
3 years ago
7

How would you find if these two triangles are congruent?

Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0
Compare the small marks on the lines of the triangles, if you draw them both out next to each other, are they exactly the same? If so, they’re congruent
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Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard d
Ostrovityanka [42]

The margin of error of the random selection is 0.29

The given parameters are:

n = 320 --- the sample size

\sigma = 2.9 --- the standard deviation

\bar x = 24 --- the mean

\alpha = 90\% --- the confidence level.

The margin of error (E) is calculated as follows:

E = z \times \sqrt{\frac{\sigma^2}{n}}

So, we have:

E = z \times \sqrt{\frac{3.2^2}{320}}

E = z \times \sqrt{\frac{10.24}{320}}

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

E = 1.645 \times \sqrt{\frac{10.24}{320}}

E = 1.645 \times \sqrt{0.032}

Take square roots

E = 1.645 \times 0.1789

Multiply

E = 0.2943

Approximate

E = 0.29

Hence, the margin of error is 0.29

Read more about margin of error at:

brainly.com/question/14396648

5 0
2 years ago
Read 2 more answers
standard automobile license plates in a country display 3 numbers, followed by 2 letters, followed by 2 numbers. how many differ
RoseWind [281]

The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

<h3>Define the term permutation?</h3>
  • The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
  • The arrangement's order is essential when using permutations.

For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

There are total 9 digits (0 - 9).

There are total 26 letter (A - Z)

Repetitions of letters and numbers given allowed.

Thus, numbers and the letters ca be arranged as;

1st place = 9 ways.

2nd place = 9 ways.

3nd place = 9 ways.

4th place = 26 ways.

6th place = 26 ways.

7th place = 9 ways.

8th place = 9 ways.

Total ways = 9×9×9×26×26×9×9

Total ways = 39917124

Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

To know more about the permutation, here

brainly.com/question/1216161

#SPJ4

5 0
1 year ago
What is the distance between –5 and 2?<br> units
Deffense [45]

Answer:

it would be a distance of 7 units

Step-by-step explanation:

5 0
3 years ago
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What is the solution set of the given system?
AVprozaik [17]

What is the system? (Is there supposed to be an image?)

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3 years ago
PLEASE HELP! While shopping, Kyla found a dress that she would like to purchase, but it costs $52.25 more than she has. Kyla cha
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I don’t have a double number line but she would have to spend 9.5 (9 1/2) hours babysitting to earn enough money to buy the dress
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