Answer:
0.4867
Step-by-step explanation:
Given an approximately normal distribution:
Z = (x - mean) / standard deviation
Mean = 32.6 ; Standard deviation = 12
For :
P(x > 33)
Z = (33 - 32.6) / 12
Z = 0.4 / 12
Z = 0.0333
Hence, using the Z distribution table :
P(Z > 0.0333) = 1 - P(Z < 0.333)
P(Z > 0.0333) = 1 - 0.51328
P(Z > 0.0333) = 0.48672
Bill $10
Tip at 25% is $2.50
Total before tax is $12.50
Answer:
k is greater than negative 2 or negative 2 is less than k.
Step-by-step explanation:
2k-8>-12
+8 +8
2k>-4
÷2 ÷2
k>-2
k is greater than negative 2
You count by 36 by adding at 36 every time u go up :
36, 72, 108,144 , 180 etc
Answer:
Area of shaded part = 41.09733550
Perimeter of shaded part = 35.82011867
Step-by-step explanation:
Area of shaded part = ((πr^2) 4) - (bh ÷ 2)
Area of shaded part = ((π(12)^2) ÷ 4) - ((12)(12) ÷ 2)
Area of shaded part = (452.3893421 ÷ 4) - (144 ÷ 2)
Area of shaded part = (113.0973355) - (72)
Area of shaded part = 41.09733550
Perimeter of shadedpart:
AC = √a^2 + b^2
AC = √12^2 + 12^2
AC = √144 + 144
AC = √288
AC = 16.97056275
Perimeter of whole circle ÷ 4:
C=2πr
C=2π(12)
C=75.39822369
C ÷ 4 = 75.39822369 ÷ 4
C ÷ 4 = 18.84955592
<em>Perimeter of shaded part: </em>
18.84955592 + 16.97056275 = 35.82011867
