Question

Geometry help plesaseB. 56% 75% 84% 89%C. 68% 75% 95% 99.7%

Answer 1

Step-by-step explanation

For the first part

`P\ge1-(1)/(k^2)`

When P=89%

P=0.89

`\begin{gathered} 0.89\ge1-(1)/(k^2) \\ \\ (1)/(k^2)\ge1-0.89 \\ \\ (1)/(k^2)\ge0.11 \\ \\ k^2\ge(1)/(0.11) \\ \\ k\ge\:3.01 \end{gathered}`

This means that 89% of the data lies within at least 3 standard deviations

This will be between

Part B

Part C

If we are to use the empirical rule

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution

Then since the standard deviation is 6.00

120mmHg and 144mmHg are within 2 standard deviations

This is within 2 standard deviations

Thus

we have the answer as 95%

Part D

68% of the measurement will be between 126mmHg and 138mmHg