Answer:
Step-by-step explanation:
Given expression is,
To prove this identity we will take the right side of the identity,
![=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5B%5Cfrac%7B2%281-%5Ctext%7Btan%7D%5E2%5Cfrac%7BA%7D%7B2%7D%29%7D%7B2tan%5Cfrac%7BA%7D%7B2%7D%7D%5D)
[Since 
]
= cot A
Hence right side of the equation is equal to the left side of the equation.
The answer to this question is 48.
Answer:
B. 100 pi units squared
Step-by-step explanation:
Find the surface area of a sphere with radius 5 using the formula SA=4pir²
Leave answer in terms of π = pi
From the question
The formula for the Surface Area if a square = 4 × pi × r²
r = 5
Hence,
Surface Area of a Sphere = 4 × pi × 5²
= 100 pi units squared
Option B is the correct option
Answer:
68 %
Step-by-step explanation:
The 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.
Mean of 96 and a Standard deviation of 17
Applying , the first empirical rule for 1 standard deviation from the mean, we have:
μ - σ
96 - 17
= 79
μ + σ
96 + 17
= 113
Therefore, the percentage of IQ scores that are between 79 and 113 is 68%
