Answer:
10(9u+8q)
Step-by-step explanation:
Answer:
a) 

b) From the central limit theorem we know that the distribution for the sample mean
is given by:
c)
Step-by-step explanation:
Let X the random variable the represent the scores for the test analyzed. We know that:

And we select a sample size of 64.
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Part a
For this case the mean and standard error for the sample mean would be given by:


Part b
From the central limit theorem we know that the distribution for the sample mean
is given by:
Part c
For this case we want this probability:

And we can use the z score defined as:

And using this we got:
And using a calculator, excel or the normal standard table we have that:
Answer:
2005 points
Step-by-step explanation:
1. 35x50=750
2. 2 min. 45 sec.=(-165 sec.)
3. 500x5=2500
4. 2500-495=2005
Hope this helped!!:)
Answer:
the answer is 800in
Step-by-step explanation:
<h2>Greetings!</h2>
A)
<h3>If you can see, every 4 minutes the amount of water is increasing at a constant rate. </h3>
197 - 153 = 44
285 - 241 = 44
<h3>This means that at 8 minutes, because there is 153 gallons already in, we can divide 8 by 4 to see how many groups of 4 minutes there were. </h3>
8 ÷ 4 = 2
So then we can subtract two lots of 44 from 153:
153 - (44 x 2) = 65
<h3>So the starting amount was 65.</h3>
B)
<h3>The answer to B is the second option, because it is true that the amount of water is increasing. This is by 44 gallons per 4 minutes.</h3>
The amount of gallons per minute can be found out by dividing the amount by 4:
44 ÷ 4 = 11
<h3>So it is 11 gallons per minute.</h3>
<h2>Hope this helps!</h2>