Vertical angles are congruent (equal in measure) and they have the same vertex point.
Answer: Yes.
Step-by-step explanation: It is very rare, but is indeed possible.
Answer:
j = -1
Step-by-step explanation:
Eliminate parentheses:
-24 -3j = -16 +5j
Add 3j+16
-8 = 8j
Divide by the coefficient of j.
-1 = j
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The population proportion is
Considering question a
The sample size is
Generally the standard deviation of this sampling distribution is
=>
=>
The sample proportion of cans that are recycled is
=>
Generally the probability that 300 or more will be recycled is mathematically represented as
From the z table the area under the normal curve to the left corresponding to 1.591 is
=>
Considering question b
Generally the lower limit of sample proportion of cans that are recycled is
=>
Generally the upper limit of sample proportion of cans that are recycled is
=>
Generally probability that between 260 and 300 will be recycled is mathematically represented as
=>
=>
From the z table the area under the normal curve to the left corresponding to 1.136 and -3.55 is
and
So
=>