Upon looking at the normal distribution table, we can see that the probability P = 0.10 corresponds to a z score of -1.28 and probability P = 0.90 corresponds to a z score of 1.28.

Therefore, deciles are -1.28 and 1.28 for a normal distribution curve.

(b) In this part, we are given that mean height is 69.5 inches and standard deviation in height is 2.7 inches. Therefore, we can find the deciles using the z score formula as shown below:

$z=\frac{x-\mu}{\sigma }\Rightarrow \pm 1.28=\frac{x-69.5}{2.7}\\
x-69.5 = \pm 3.456\Rightarrow x=69.5\pm 3.456\Rightarrow \\
x=66.044,72.956$

Therefore, the required deciles are 66.044 and 72.956

7 0

3 years ago

Complete the point-slope equation of the line through (-8,-1)(−8,−1)

ZanzabumX [31]

Answer:

The equation of the line is y = -1

Step-by-step explanation:

In order to find the equation,y = mx + c, you have to find the gradient first using the formula :

$m = \frac{y2 - y1}{x2 - x2}$

Let (x1,y1) = (-8,-1) & (x2,y2) = (-8,-1),

m = (-1)-(-1)/-8-(-8)

= 0

Now, we have found the gradient, next using the formula, y = mx + c to find the equation :

y = mx + c

Let m=0,

At (-8,-1)

-1 = 0(-8) + c

c = -1

y = -1

6 0

3 years ago

Surface area of the cylinder

Firlakuza [10]

A=2πrh+2πr2
the surface area of a cylinder

6 0

4 years ago