The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of paper and placed in the bag. A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag. What is the probability that two vowels are chosen?

Answers

Answer 1
Answer: 12 total letters...5 vowels and 7 consonants.

probability of 1st letter being a vowel is 5/12
after replacing ...
probability of 2nd letter being a vowel is 5/12

probability of both occurring is (5/12 * 5/12) = 25/144 <===


Answer 2
Answer:

To solve the problem, the concept of replacement must be considered.

A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag.

The probability of the two vowels chosen is 25/144.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

The Hawaiian language has 12 letters.

Five vowels and seven consonants.

To find

The probability of two vowels is chosen.

1.  Probability of first letter being vowel.

Total event = 12

Favorable event = 5

Then

\rm P_1 = (5)/(12)

2.  Probability of second letter being vowel.

Total event = 12

Favorable event = 5

Then

\rm P_2 = (5)/(12)

The probability of both occurring will be

\rm P = P_1 *P_2\n\nP = (5)/(12) * (5)/(12)\n\nP = (25)/(144)

Thus, The probability of the two vowels chosen is 25/144.

More about the probability link is given below.

brainly.com/question/795909


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Ise the diagram at the right to find the acute angle measure of the hands of a clock at the time 2:20

Answers

The question is about clock hands. The acute angle measure of the hands of a clock at the time 2:20 is 80 degrees.

Clock hands are essential components of analog clocks and watches, indicating the time by their positions. Typically, a clock has three hands: the hour hand, the minute hand, and the second hand. The hour hand is shorter and denotes the hours, while the longer minute hand points to the minutes. The second hand, the thinnest and longest, measures seconds. Clock hands move in a clockwise direction, and their synchronized motion helps people tell time at a glance, making them fundamental features of timekeeping devices for centuries.

To find the acute angle measure of the hands of a clock at the time 2:20, we need to determine the angle covered by the hour hand. In going from 12 to 3, the hour hand covers 1/4 of the 12 hours needed to make a complete revolution. Therefore, the angle between the hour hand at 12 and at 3 is 90 degrees. Since it is 20 minutes past 2, the minute hand will be 1/3 of the way between 2 and 3. This means the minute hand will be at an angle of 1/3 x 30 degrees = 10 degrees. The acute angle between the hour and minute hands can be found by subtracting the smaller angle from the larger angle. So, the acute angle measure of the hands of the clock at the time 2:20 is 90 degrees - 10 degrees = 80 degrees.

Learn more about clock hands here:

brainly.com/question/34460003

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Answer:

50 degrees

Step-by-step explanation:

To find the acute angle measure between the hour and minute hands of a clock at 2:20, you can use the following method:

   First, calculate the minute hand's position:

       The minute hand moves 360 degrees in 60 minutes, so in 20 minutes, it covers (20/60) * 360 = 120 degrees.

   Next, calculate the hour hand's position:

       The hour hand moves 360 degrees in 12 hours, so in 2 hours and 20 minutes, it covers (2 + 20/60) * (360/12) = (2 + 1/3) * 30 = (7/3) * 30 = 70 degrees.

   Now, find the acute angle between the hour and minute hands:

       Subtract the hour hand position from the minute hand position:

       120 degrees (minute hand) - 70 degrees (hour hand) = 50 degrees.

So, the acute angle measure between the hands of the clock at 2:20 is 50 degrees.

Hi! Can somebody pls explain to me how to do one of these problems pls......will give brainliest lol

Answers

1. Y = -3x
2. Y = -2
3. Y= x + 2
4. Y = 2/3x -1

Answer:

1. Y = -3x

2. Y = -2

3. Y= x + 2

4. Y = 2/3x -1

I HAVE A FELLING

We did not recieve a diagram for this question.Radius of circle O has a slope of 2.5. What is the slope of the line tangent to circle O at point A?

A)0.8
B)2.5
C)-0.4
D)-5

Answers

If the line is tangent to circle at point A and the radius ( suppose AO) has a slope of 2.5 then a slope of the tangent line is :
(-1)/(2.5)= -0.4
Explanation: The product of slopes of two perpendicular lines is -1. To get second slope we have to divide -1 by the first one.
Answer:C) - 0.4

The formula for the area of a circle is A = r 2. Classify the area of a circle with a radius of 0.75 centimeters as either rational or irrational?

Answers

The area of a circle is an irrational number.

Answer:

irrational

Step-by-step explanation:

Point A is located at (2, -5). After it is translated, point A' is located at (-4, -5). What was the translation?6 units to the right

6 units to the left

6 units up

6 units down

Answers

The answer is:
6 units to the left

What is the area of the triangle?

Answers

Answer:

4

Step-by-step explanation:

The area of a triangle is

A=1/2 bh

Where b is the base and h is  the height

A = 1/2 (4)(2)

A = 4