Answer:
Statement: angle QAU congruent to angle KAC
Reasoning: vert. angle congruenct thm
S: angle U congruent to angle C
R: Alt. Int. Angle Thm
S: Triangle QUA similar to Triangle KCA
R: AA Sim. Thm
Step-by-step explanation:
Practice a lot of proofs and you'll start seeing a pattern in them and it will become way easier.
Play like I answered this question
30% of the 250 participants were French.
To find how many this is, convert the percent to a decimal and multiply the decimal by the total number of participants.
30% = 0.3
0.3 • 250 = 75
75 of the participants were French.
Answer:
Step-by-step explanation:
Sample standard deviation is found by steps below.
<u>Find the mean:</u>
- μ = (9 + 15 + 13 + 9 + 15)/5 = 12.2
<u>Find deviations from the mean and their squares:</u>
- 9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.24
- 15 - 12.2 = 2.8 ⇒ 2.8² = 7.84
- 13 - 12.2 = 0.8 ⇒ 0.8² = 0.64
- 9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.24
- 15 - 12.2 = 2.8 ⇒ 2.8² = 7.84
<u>Sum the squares:</u>
- 10.24*2 + 7.84*2 + 0.64 = 36.8
<u>Divide by N - 1 (N - number of samples):</u>
<u>Square root is the sample standard deviation:</u>
