6.7*6.7 to find the surface area of the base which is 44.89
4*1/2*10.1*6.7 to fix the surface area of all four triangular faces which is 135.34
Plus them together 44.89+135.34 which is 180.23

8 0

3 years ago

Solve the problem. A variable x has the possible observations shown below. Possible observations of x: -3 -1 0 1 1 2 4 4 5 Find

svp [43]

Answer:

The z-score corresponding to an observed value of x of 2 is 0.215.

Step-by-step explanation:

We are given that a variable x has the possible observations shown below;

Possible observations of X: -3, -1, 0, 1, 1, 2, 4, 4, 5.

Firstly, we will find the mean and the standard deviation of X, i.e;

Mean of X, ( $\mu$ ) = $\frac{\sum X}{n}$

= $\frac{(-3)+ (-1)+ 0+ 1+ 1+ 2+ 4+ 4+ 5}{9}$

= $\frac{13}{9}$ = 1.44

Standard deviation of X, ( $\sigma$ ) = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{(-3-1.44)^{2}+(-1-1.44)^{2}+......+(4-1.44)^{2}+(5-1.44)^{2} }{9-1} }$

= 2.603

Now, the z-score corresponding to an observed value of x of 2 is given by;

z-score = $\frac{X-\mu}{\sigma}$

= $\frac{2-1.44}{2.603}$ = <u>0.215.</u>

4 0

2 years ago