Armando used algebra tiles to represent the product 3 x (2 x minus 1). An algebra tile configuration. 3 tiles are in the Factor 1 spot and are labeled + x. 3 tiles are in the Factor 2 spot: 2 are labeled + x and 1 is labeled negative. 15 tiles are in the Product spot: 2 are labeled + x squared, 4 are labeled + x, 1 is labeled negative x, and 4 are labeled negative. Which is true regarding Armando’s use of algebra tiles? He used the algebra tiles correctly. He did not represent the two original factors correctly. The signs on some of the products are incorrect. Some of the products do not show the correct powers of x.

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0