Answer:
Step-by-step explanation:
Hello!
The study variable is:
X: number of customers that recognize a new product out of 120.
There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.
The sample proportion obtained is:
p'= 54/120= 0.45
Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p;
)
The other conditions for this approximation are also met: (n*p)≥5 and (n*q)≥5
The probability of getting the calculated sample proportion, or lower is:
P(X≤0.45)= P(Z≤
)= P(Z≤-3.35)= 0.000
This type of problem is for the sample proportion.
I hope this helps!
Answer:

Step-by-step explanation:
Lets solve the first half.

Second one:

Now compare.....Not the same right??
So your answer is: 
Hope this helps :)
Perimeter of rectangle=66
length of rectangle=L
width of rectangle=w
P of a rect.= 2(length)+ 2(width)
66= 2L+2w
if the length is 7in more than the width, then
L=7+w
Now we will substitute 7+w in for L. Here is our new equation:
66=2(7+w) + 2w
Solve for w
66=14+2w+2w
66=14+4w
52=4w
w=13
L=7+13, so L=20
I hooe this is explained well enough
There the answer is A the range is none negative
Answer:
4.8 megabytes / minute.
Step-by-step explanation:
At the beginning of recording the download you have 24 megabytes.
15 minutes later, you have 96 megabytes.
In 15 minutes you have downloaded 96 - 24 = 72 megabytes
So the question turns out to be a proportion of
x megabytes / 1 minute = 72 megabytes / 15 minutes.
x = 72/15
x = 4.8 megabytes / minute