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:
a) How many full packages will be used to ship the jeans?
41 packages
b) How many jeans are left over?
24 Jeans
Step-by-step explanation:
We are told that a manufacturer: made 1500 Jeans and is shipping them in packages of 36.
Hence, the number of packages of 36 he can send out to stores is calculated as:
1500÷ 36
= 41.666666667
In whole number packages = 41 packages
Hence, 41 full packages would be used to ship the jeans.
The number of Jeans left behind is
1500 - (41 × 36)
= 1500 - 1476
= 24 Jeans
Answer:
The final cost would be $42,780 for sending a 34 word telegram.
Step-by-step explanation:
1. $4050*10= $40,500
2. 34-10=24
3. 24*$95= $2,280
4. $40,500+$2,280= $42,780
Hope this helps! :)
<h3>
CloutAnswers</h3>
Answer:
You would have approximately 201 insects.
Step-by-step explanation:
To calculate the final population of the insects, you need to first insert the values of each variable you know into the equation. The initial population at time
would be 100 insects, the rate of population growth coverted to decimal form would be 0.1, and the elapsed time since time
is 7 days. Now the new equation would be
.

⇒
≈ 
⇒
≈ 
You will have 201 insects in 7 days (rounded to the nearest insect).
Answer:
$93
Step-by-step explanation:
12(3.75+4.00)
= 93