The answer is 72
you first start by doing whats in the parenthesis: 72-63. that equals 9. then do the brackets [4(9)/3] do this from left to right 4x9=36. 36/3= 12 last do 6x12 that equals 72 which is the most simplified version
The y int is where the line crosses the y axis...it is (0,1)...or just 1
1 minute, the number of minutes students stretch when they do not jog
Width = w
Length = 5 + w
The above are the dimensions.
Point B is located at (-6, 5)
Multiply each coordinate by the scale factor 3 to get
-6*3 = -18
5*3 = 15
The point B' is located at (-18, 15)
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)