A local sports team wants to estimate the average amount of time that spectators spend getting out of the parking garage after games. Find the minimum sample size required to estimate that average (in minutes) to within 5.0 minutes with 90% confidence if the population standard deviation was previously estimated to be 21.6 minutes.

The minimum sample size required to estimate that average is 51

Step-by-step explanation:

In order to calculate the minimum sample size required to estimate that average we would have to calculate the following formula:

minimum sample size required to estimate that average =(z∝/2σ/E)∧2

According to the given data we have the following:

z∝/2=1.645

E=5

σ=21.6

Therefore, minimum sample size required to estimate that average =(1.645*21.6/5)∧2

minimum sample size required to estimate that average =51

The minimum sample size required to estimate that average is 51

10cm

step-by-step explanation:

ik

(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