For a group experiment, your science class measured the fine-particulate concentrations in the air at random places around campus, and estimated a sample average of 22 μg/m3 (micrograms per cubic meter). if 144 readings were taken, and the standard deviation of the sample measurements was 4 μg/m3, you are 99.7% confident that actual concentration of fine particulates at the school is

The class interval is from (22.8748 ug/m³ - 21.1252 ug/m³).

Step-by-step explanation:

Given : Sample size(n)= 144

Sample mean

Standard deviation

To find : 99.7% confident that actual concentration of fine particulates at the school is?

Solution :

The formula for confidence interval is

Substituting the values in the formula,

Therefore, The class interval is from (22.8748 ug/m³ - 21.1252 ug/m³).

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

exactly you go it

step-by-step explanation: