233 to 1 significant figure :
233 ≈ 200 (1 s.f.)
2(4x - 3) - 7(x + 1) = 8x - 6 - 7x - 7 = x - 13
The reference angle will be
r = min(7π/12, π -7π/12) = 5π/12
Answer:
Value of ![x=30](https://tex.z-dn.net/?f=x%3D30)
Step-by-step explanation:
When the two lines being crossed are Parallel Lines the Corresponding Angles are equal.
Hence
![x+25=55\\\\x=30](https://tex.z-dn.net/?f=x%2B25%3D55%5C%5C%5C%5Cx%3D30)
Answer:
A) Mean = 1264
Standard deviation = 37
B) CI ≈ (1241, 1287)
Step-by-step explanation:
A) Mean = Σx/n
Σx = 1229 + 1257 + 1243 + 1194 + 1268 + 1316 + 1275 + 1317 + 1275
Σx = 11374
Mean(x¯) = 11374/9
Mean(x¯) ≈ 1264
Standard deviation = √(∑(x - x¯)²/(n)
From online calculator;
Standard deviation; s ≈ 37
B) Our distribution factor is; DF = n - 1 = 9 - 1 = 8
From t-table attached, our critical value at 90% Confidence interval is t = 1.86
Formula for confidence interval is;
CI = x¯ ± t(s/√n)
CI = 1264 ± 1.86(37/√9)
CI = 1264 ± 22.94
CI ≈ (1241, 1287)