1. There are12 total letters 5 vowels and 7 consonants in the hawaiin alphabet.
2. probability of 1st letter being a vowel is 5/12
3. probability of 2nd letter being a vowel is 5/12
4. probability of both occurring is (5/12 * 5/12) = 25/144 ←
Answer:
D.
Step-by-step explanation:
1. Answer A:
15 students signed up for violin lessons (4 boys + 11 girls)
15 / 70 = approx. 21% of the class.
Answer A says 28%, so this is incorrect.
2. Answer B:
17 students signed up for drum lessons (11 boys + 6 girls)
17/70 = approx. 24%
B says 17% signed up for drums, so this is incorrect.
3. Answer C.
Wrong because more girls signed up for piano lessons (15 girls, whereas only 9 boys signed up for piano)
4. D. The same percent of boys and girls are taking guitar lessons.
Get the total number of boys and girls in the class (just add the results for each separately for all instruments)
Boys: 11 + 6 + 9 + 4 = 30
Girls: 6+8+15+11 = 40
6 out of 30 boys signed up for guitar
6/30= 20%
8 out of 40 girls signed up for guitar
8/40 = 20%
Answer is D
<em>x</em> and <em>w</em> are parallel lines, so
• angles 2 and the one labeled 75º are congruent because they are alternating interior angles, and
• angles 1 and 2 are supplementary because they form a linear pair.
The first observation tells you that angle 2 has measure 75º, and angle 1 has measure <em>m</em> such that
<em>m</em> + 75º = 180º
so angle 1 has measure 180º - 75º = 105º.