Answer:
The mean of the sampling distribution of means for the 36 students is of 18.6 homework hours per week.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
For the population, the mean is 18.6. So, by the Central Limit Theorem, the mean of the sampling distribution is also 18.6.
Answer: 9/8
Step-by-step explanation:
The square root of this is 9/8 because when you square 9/8, you get 81/64, and when you square root it, you get 9/8.
The easiest way tho is knowing that when you square a number and square root the square, you get the same number, cuz the square root cancels the square. Does that make sense?
Anyways hope this helped!
Answer:
The lack of observable evidence
Step-by-step explanation:
Let's solve your equation step-by-step.
16y−24=4y
Step 1: Subtract 4y from both sides.
16y−24−4y=4y−4y
12y−24=0
Step 2: Add 24 to both sides.
12y−24+24=0+24
12y=24
Step 3: Divide both sides by 12.
12y
/12
=
24
/12
y=2
Answer:
y=2
A total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.
Step-by-step explanation:
Step 1:
Assume the number of non-commercial vehicles to be x and the number of commercial vehicles to be y.
It is given that for every 14 non-commercial vehicles there will be 5 commercial vehicles. So a ratio can be formed as follows;
= 
, cross multiplying, we get 
, take this as equation 1.
Step 2:
It is also given that there were 108 more non-commercial vehicles than commercial vehicles. So
, take this as equation 2.
If we solve equations 1 and 2, we will get the values of x and y.
Step 3;
Substitute equation 2 in equation 1.
,
,
.
Substitute 
in equation 2.
.
So x = 168 and y = 60.
So a total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.
