Find the critical value z subscript c necessary to form a confidence interval at the level of confidence shown below. cequals0.89

Z_c = 1.6

Step-by-step explanation:

Solution:-

- The Z-critical value for any Confidence Interval (CI) corresponds to the significance level α. The significance level is defined as:

                             α = 1 - CI

                             α = 1 - 0.89

                             α = 0.11

- The Z-critical occurs at half of the significance value for "Two Tailed" tests.

                             α/2 = 0.11/2 = 0.055

- Then we use the standard normal distribution table or statistics tool. And compute:

                             Z_c = Z_a/2 = Z_0.055

                             Z_0.055 = invNorm ( 0.055 ) = 1.6

Hence,                  Z_c = 1.6

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29

(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