Given:
Population mean, μ = 10
Population standard deviation, σ = 1.5
Random variable, x = 11.
By definition, the z-score is
z = (x - μ)/σ
= (11 - 10)/1.5
= 0.667
Answer: 0.667
Answer:

Step-by-step explanation:
Given
Hemisphere

Cone

Required
Determine the radius of the cone
First, we calculate the volume (V1) of the hemisphere.

Substitute 7 for r



Volume (V2) of a cone is:

Because the lead is cast into a cone, then they have the same volume.
So, we have:


Substitute 49 for h

Divide both sides by 49




<em>Hence, the radius of the cone is 3.74cm</em>
Answer:
X=13
Step-by-step explanation:
110+ X+57=180
X+ 167= 180
X=180-167
X=13
Answer:
29) x = 17
30) x =14
31) x = 23
32) x = 44
Step-by-step explanation:
29)
6x - 17 = 85
6x = 102
x = 17
30)
4x + 21 + 103 = 180
4x + 124 = 180
4x = 56
x = 14
31)
2x + 23 = 4x - 23
-2x = - 46
x = 23
32)
4x - 42 = 134
4x = 176
x = 44