6x+9=-3x-21-6 solve for x

Step-by-step explanation:

6x + 9 = -3x - 21 -6 solve for x

combine similar terms: 6x + 3x = -21 - 6 - 9

simplify: 9x = -36

divide 9 each side x = -4

0.05

a) Power will remain the same

b) Power will increase

Step-by-step explanation:

Total number of Skittles = 200

Number of orange Skittles = 43

Level of Significance = 0.05

Probability of making a type 1 error is the probability of rejecting the null hypothesis when it is true. The probability of making a type 1 error is the significance level

Therefore type 1 error = 0.05

a) If the observed statistic is 86/100, the power will increase.

The power is the probability of rejecting the null hypothesis when it is false. (i.e not making a type 2 error)

The power depends on sample size, significance level, variability in the response variable, etc.

Since 43/200 is the same as 86/400 in value and the significance level is not said to be changed, the power will remain the same.

b) Power depends on significance level. Therefore, if the significance level is changed from 0.05 to 0.10, the power will increase.