Gavin has a box of crayons. There are 4 purple crayons, 3 black crayons, 3 blue crayons, and 2 red crayons. What is the probability Gavin will draw a purple crayon, put it on the table, and then draw another purple?

The chances that he does this are 4 in 144, or 1 in 36.

Step-by-step explanation:

The chances he chooses a purple are 4 in 12. 4 in 12 times 1 in 12 is 4 in 144, which can be simplified to 1 in 36.

what is the approximate angle of acb if abc is 25cm and the length of segment bc is 15

step-by-step explanation:

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;