a Christian University found that about 3% of its students came from certain state the university had 156 students from that sta
1 answer:
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By graphing the given options as shown in attached figure
<span>f(x) = (1/4)^x+2 ⇒⇒⇒⇒ The black graph
f(x) = (1/4)^x +2 </span><span>⇒⇒⇒⇒ The red graph
</span> f(x) = (1/4)^x-2 <span><span>⇒⇒⇒⇒ The blue graph
</span></span><span><span /> f(x) = (1/4)^x -2 ⇒⇒⇒⇒ The green graph
</span>
The correct answer will be the blue graph
<span>f(x) = (1/4)^x+2 ⇒⇒⇒⇒ The black graph
f(x) = (1/4)^x +2 </span><span>⇒⇒⇒⇒ The red graph
</span> f(x) = (1/4)^x-2 <span><span>⇒⇒⇒⇒ The blue graph
</span></span><span><span /> f(x) = (1/4)^x -2 ⇒⇒⇒⇒ The green graph
</span>
The correct answer will be the blue graph
Answer:
75%
88.89%
Step-by-step explanation:
Given :
Mean = 70
Standard deviation = 12
Since the data is said to be extremely skewed, we apply Chebyshev's theorem rather than the empirical rule :
The minimum proportion of observation between 46 and 94
Chebyshev's theorem :
1 - 1 / k²
k = number of standard deviations from the mean
k = (94 - 70) / 12 = 24 / 12 = 2
Hence, we have ;
1 - 1/2²
1 - 1/4
1 - 0.25 = 0.75
Hence, The minimum proportion of observation between 46 and 94 is 75%
Between 36 and 106 :
k = (106 - 70) / 12 ;
k = 36/12 = 3
Hence,
1 - 1/3² = 1 - 1/9 = 8/9 = 0.8888 = 88.89%
The minimum proportion of observation between 34 and 106 is 88.89%
