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Damm [24]
3 years ago
12

Henry has a bag containing 39 letter tiles, some consonants, and some vowels. He selects a tile without looking and then replace

s it. If he pulls 7 consonant tiles and 6 vowel tiles, which is the most likely number of consonant tiles in Henry's bag?
Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

21 consonant tiles

Step-by-step explanation:

Henry has a bag containing 39 letter tiles, some consonants, and some vowels.

He selects a tile without looking and then replaces it. If he pulls 7 consonant tiles and 6 vowel tiles, which is the most likely number of consonant tiles in Henry's bag?

Step 1

We add up the number of tiles that he pulls out of the bag

= 7 consonant tiles + 6 vowel tiles

= 13 tiles

Step 2

We divide the total number of tiles in the bag by the total number of tiles that was pulled out of the bag

= 39 tiles ÷ 13 tiles

= 3

Step 3

The most likely number of consonant tiles in Henry's bag is calculated as:

3 × The number of consonant tiles that was pulled out of the bag.

Hence:

3 × 7 consonant tiles

= 21 consonant tiles.

Therefore, the most likely number of consonant tiles in Henry's bag is 21 consonant tiles.

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Find the distance between each pair of points E(-1, 0),F(12, 0)
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Answer:

The answer is

<h2>13 \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\ </h3>

where

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From the question the points are

E(-1, 0) and F(12, 0)

The distance between them is

<h3>|EF|  =  \sqrt{ ({ - 1 - 12})^{2}  +  ({0 - 0})^{2} }  \\  =  \sqrt{ ({ - 13})^{2} }  \\  =  \sqrt{169}</h3>

We have the final answer as

<h3>|EF| = 13 \:  \: units</h3>

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Which expression finds the measure of an angle that is coterminal with a 45° angle? 45° 90° 45° 180° 45° 270° 45° 360°.
agasfer [191]

The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.

<h2>We have to determine</h2>

Which expression finds the measure of an angle that is coterminal with a 45° angle?

<h3>According to the question,</h3>

Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.

The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.

<h3>A coterminal with 45° is 45°+k°360° with k as an integer.</h3>

Then,

The coterminal angle with 45°,

When k = 0

Then,

\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree

When k = 1

Then,

\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree

When k = -1

Then,

\rm = 45+(-1)360\\\\= 45-360\\\\= -315 \ degree

Hence, The measure of an angle that is coterminal with a 45A°+360A°.

For more details about the Coterminal angle refer to the link given below.

brainly.com/question/12378421

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