If there are 4 marbles left over each time, then we can forget about them for now.
So the question is, what is the smallest number than can be divided into 6,7 and 8?
the numbers have only one non-1 divisor in common: both 6 and 8 are divisible by 3.
so for our purposes we can "delete" one 2 and ask:
what is the smallest number than can be divided into 3,7 and 8 ?
There are no more divisors in common, so we just have to multiply them: 3*7*8=21*8=168
and the 4 marbles "extra"? We add them to this sum.
the the smallest possible number in the box is 168+4=172.
4x-y= -36
Distribute the 4: y-12=4x+24
Add 12 to both sides: y=4x+36
Move the y to the other side: 0=4x-y+36
Subtract 36 from both sides: 4x-y= -36
The statements that agree with the graph of the equation are as follows:
<span>4.the function is decreasing over the interval (−4, ∞).
</span><span>1.the domain is {x|x ≤ –2}.
I hope my answer has come to your help. God bless and have a nice day ahead! Feel free to ask more questions.
</span>
Answer:
its just a black screen
Step-by-step explanation:
Answer:
a

b

Step-by-step explanation:
Considering question a
From the question we are told that
The mean is 
The standard deviation is 
The standard error of mean is mathematically represented as

=>
=> 
Generally the probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as


From the z table the area under the normal curve to the left corresponding to -0.3425 is

=> 
Considering question a
From the question we are told that
The mean is 
Generally the probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as


From the z table the area under the normal curve to the left corresponding to -1.0274 is

=> 