What is the approximate area of the unshaded region under the standard normal curve below? use the portion of the standard normal table given to answer the questions. see photo’s attached.

Concept:First find the area of the shaded region under the standard normal curve and after it as you know total area=1 , so 1-area of shaded region= area of unshaded region.

Area of shaded region= P(-2 z 1)

Now,

the symbol Ф represent the cumulative density.

first find the

Ф(1) from the above given table it is equal to 0.8413.

Now,

find the Ф(-2) .

in our table we are given the value of Ф(2)=0.9772.

so as the curve is symmetrical Ф(-2)=1-0.9772=0.0228.

P(-2 z 1)= Ф(1)-Ф(-2)

= 0.8413-0.0228

= 0.8185

Now,

Area of unshaded region= 1-area of shaded region

= 1- P(-2 z 1)

= 1- 0.8185

= 0.1815

= 0.18

C is the correct answer.

The area of the unshaded region is 0.1815 which is the c option.

It is the measure of the dispersion of the dataset relative to its mean.

Given

According to Graph

The symbol represents the cumulative density.

The shaded area under the curve will be

Area = 0.8413 - 0.0228

Area = 0.8185

The unshaded area under the curve will be

Thus, the area of the unshaded region is 0.1815 is the c option.

More about the standard deviation link is given below.

link

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.

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: