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kondor19780726 [428]
3 years ago
12

A computer is used to generate passwords. Passwords are made up of numbers from 1–9 and lowercase letters. The computer generate

s passwords one character at a time. What is the probability the first character is a vowel? Enter your answer, as a decimal rounded to the nearest hundredth, in the box.
Mathematics
1 answer:
cestrela7 [59]3 years ago
7 0
Hello!

Well, if you do not count y as a vowel, we have 5 vowels. There are 26 letters in the alphabet, plus the 9 numbers gives us 35.

As a fraction this gives us 5/35, which is equal to 1/7. As a rounded decimal, this is about 0.14.

As a percent, this is about a 14% chance of it generating a vowel.

The answer is 0.14.

Hope this helped!
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A trapezoid has an area of 342 square yards. The length of one base is 17 yards, and the length of the other base is 21 yards. W
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The height of trapezoid is 18 yards

<em><u>Solution:</u></em>

Given that, trapezoid has an area of 342 square yards

The length of one base is 17 yards, and the length of the other base is 21 yards

To find: height of trapezoid

<em><u>The area of trapezoid is given by formula:</u></em>

area = \frac{a+b}{2} \times h

Where "h" is the height

"a" and "b" are the length of base

Here given that,

area = 342 square yards

a = 17 yards

b = 21 yards

h = ?

<em><u>Substituting the values we get</u></em>,

342 = \frac{17+21}{2} \times h\\\\342 \times 2 = 38 \times h\\\\ 684 = 38h\\\\h = \frac{684}{38}\\\\h = 18

Thus height of trapezoid is 18 yards

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If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures ...
Vedmedyk [2.9K]

Answer:

The third angle measures 80°

Step-by-step explanation:

Let us solve the question

In any triangle

∵ The sum of the measures of the interior angles of a triangle is 180°

∵ The angle of triangles are ∠1, ∠2, and ∠3

∴ m∠1 + m∠2 + m∠3 = 180°

∵ Two of the angles of the triangle are 30° and 70°

∴ m∠1 = 30°

∴ m∠2 = 70°

→ Substitute them in the rule above

∴ 30° + 70° + m∠3 = 180°

→ Add the like terms

∵ (30 + 70) + m∠3 = 180

∴ 100 + m∠3 = 180

→ Subtract 100 from both sides

∵ 100 - 100 + m∠3 = 180 - 100

∴ m∠3 = 80°

∴ The third angle measures 80°

7 0
3 years ago
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