Women's weights are normally distributed with a mean given by 143 lb and a standard deviation given by 29 lb. Find the first decile, which separates the bottom 10% from the top 90%.

105.813

Step-by-step explanation:

Given that:

Mean (m) = 143 lb

Standard deviation (s) = 29 lb

. First decile which separate the 10th..

Using the relation :

Z = (x - mean) / standard deviation

The bottom 10% percentile using the Z probability calculator = - 1.282

-1.282 = (x - 143) / 29

-1.282 * 29 = x - 143

-37.178 = x - 143

x = - 37.178 + 143

x = 105.813

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.