<em>1172. 08 in²</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>A(prism) = 2(lw + lh + wh) - Ab(cylinder)</em>
<em>= 2(16*11 + 16*11 + 11*11) - πr²</em>
<em>= 2(176 + 176 + 121) - 3.14*16</em>
<em>= 2*473 - 50.4</em>
<em>= 946 - 50.24</em>
<em>= 895.76 in²</em>
<em>A(cylinder) = πr² + 2πr*h</em>
<em>= 3.14*16 + 2*3.14*4*9</em>
<em>= 50.24 + 226.08</em>
<em>= 276.32 in²</em>
<em>A(total) = 895.76in² + 276.32in² = 1172.08 in²</em>
<em>Good luck !</em>
Answer:
t = 22
2t = 45
Step-by-step explanation:
3t = 68
t = 68/3
Answer:
68%
Step-by-step explanation:
The Standard Deviation Rule = Empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question,
Step 1
We have to find the number of Standard deviation from the mean. This is represented as x in the formula
μ = Mean = 61
σ = Standard Deviation = 8
For x = 53
μ - xσ
53 = 61 - 8x
8x = 61 - 53
8x = 8
x = 8/8
x = 1
For x = 69
μ + xσ
69 = 61 + 8x
8x = 69 - 61
8x = 8
x = 8/8
x = 1
This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%