What is the answer in this question ? Macy is painting a design that contains two repeating patterns. One pattern repeats every 12 inches. If both patterns begin in the same place, in how many inches will they begin together again? The design is 19 feet long .Both pattern begin at the same place.

The correct answer is:

10 times.

Explanation:

We first find the LCM, or least common mulitple, of 8 and 12. To do this, we find the prime factorization of each:

8 = 2*4

4 = 2*2

8 = 2*2*2

12 = 4*3

4 = 2*2

12 = 2*2*3

To find the LCM, we take the common factors and multiply by the uncommon ones. The common factors are 2*2; the uncommon are 2 and 3:

2*2*2*3 = 24

The LCM is 24. This means that every 24 inches, both patterns will repeat.

The patterns are both at the beginning of the design. Then every 24 inches, or 2 feet, both patterns repeat.

19/2 = 9.5

There are an additional 9 times that the patterns repeat; this is 1+9 = 10 total times.

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560