Answer:
120 deg
Step-by-step explanation:
The sum of the measures of the interior angles of a quadrilateral is 360 deg.
2t + 2t + t + t = 360
6t = 360
t = 60
m<Z = 2t = 2(60) = 120
Answer: 120 deg
Answer:
The probability that none of the meals will exceed the cost covered by your company is 0.2637.
Step-by-step explanation:
A hyper-geometric distribution is used to define the probability distribution of <em>k</em> success in <em>n</em> samples drawn from a population of size <em>N</em> which include <em>K</em> success. Every draw is either a success of failure.
The random variable <em>X</em> = number of meals that will exceed the cost covered by the company.
The random variable <em>X</em> follows a hyper-geometric distribution.
The information provided is:
N = 15
K = 3
n = 5
k = 0
The probability mass function of a hyper-geometric distribution is:

Compute the probability that none of the meals will exceed the cost covered by your company as follows:

Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.
Answer:
,
Step-by-step explanation:
By the segment addition postulate,
AB = AC+CB
since C is somewhere between A and B
We know AC is 0.618 and AB = 1
CB = x for now
AB = AC+CB
1 = 0.618+x
1-0.618 = 0.618+x-0.618 ... subtract 0.618 from both sides
0.382 = x
x = 0.382
So CB is 0.382 units long
To find the ratio of AC to CB, divide the values
AC/CB = 0.618/0.382 = 1.618 (approximate to 3 decimal places)
Answer: Choice B) 1.618