Jessica wrote a computer program to create colored shapes. The shapes are either squares or circles and both are equally likely. The colors are either blue, red, or green, and each is equally likely. What is the probability the computer program will create a green circle?

16 2/3%

Step-by-step explanation:

Given that:

Shape are either square or circle with both equally likely :

Hence,

P(square) = 1/2 ; P(circle) = 1/2

Color are either blue, red or green with the three equally likely ;

P(red) = 1/3 ; P(green) = 1/3 ; P(blue) = 1/3

Probability of creating a green circle :

Independent probability

P(green n circle) = p(green) * p(circle)

P(green n circle) = 1/3 * 1/2

P(green n circle) = 1/6

= 0.16666

(0.16666 * 100%) = 16.6666%

= 16 2/3%

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

7/2

(decimal: 3.5)

welcome ; )

step-by-step explanation: