1) Vertical angles-the angles will equal each other.
8+7x=9x-4
12+7x=9x
12=2x
x=6
2) Supplementary-Angles will add up to 180
6+13x+7x+14=180
20+20x=180
20x=160
x=8
The formula for the period T of a pendulum is T = 2π Square root of√L/g, where L is the length of the pendulum and g is the acceleration due to gravity.
Answer:
6x^2 -2x
Step-by-step explanation:
As written, the constant terms in the first factor cancel each other. The distributive property is used to perform the multiplication:
(3x^2 +1 -1 -x)(2) = (3x^2 -x)(2) = (3x^2)(2) -x(2)
= 6x^2 -2x
Answer:
B) 0.287
Step-by-step explanation:
For each Coffeeton resident, there are only two possible outcomes. Either they recognize the brand name, or they do not. The probability of a resident recognizing the brand name is independent of other residents. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
53% recognition rate in the town of Coffeeton.
This means that 
Find the probability that exactly 4 of the 7 Coffeeton residents recognize the brand name.
This is P(X = 4) when n = 7. So


So the anwer is:
B) 0.287