Manuel created a factor tree and wrote the prime factorization of 60 shown below. A factor tree of 60. 60 branches to 4 and 15. 15 branches to 3 and 5. The equation is 60 = 3 times 4 times 5. What is Manuel’s error? He did not include 15 in the prime factorization. He did not find the prime factors of 4. He should have started the factor tree with 2 times 30. He should not have found the factors of 15.

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

You buy five cds at a sale for $5.95 each. write an expression for the total cost of the cds. then use the distributive property and mental math to evaluate the expression.

How do you write a paragraph proof to prove that the corresponding angles shown are congruent