Answer:
we have standard deviation of 12 so 298-322 would be 34.1% times 2 which is 68.2%. We also have 12 more in a lower region and we can use normal distribution to find that it would be 13.6% + 68.2%
Answer is 81.8%
Answer: =7
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
This time, you'll be doing SOH.
sin (x) = 39/59=0.66
then do sin^-1 (0.66)
x = 42 degrees (think this is correct I hope)
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

=> 
For this case we have the following equation:

We apply distributive property on the left side of the equation:

We simplify the left side of the equation:

Different signs are subtracted and the major sign is placed.

On the right side we must take into account that:

So:

We add x to both sides of the equation:

We subtract 2 from both sides of the equation:

We multiply by 3 on both sides of the equation:

We divide by 8 on both sides of the equation:

Thus, the solution of the equation is:

Answer:
