ANSWER
72 square feet
EXPLANATION
The perimeter of a rectangle is given by:
P= 2l+2w
It was given that, the perimeter of the rectangular mat, is 36 feet.
36= 2l+2w
Divide through by 2.

It was given also that, the length of the mat is twice its width.
This implies that,

Put equation (2) into equation (1) to get,



This means that the length is 12 ft.
The area of the rectangular mat is

Answer:
option (c) n = 201
Step-by-step explanation:
Data provided in the question:
Standard deviation, s = 5.5 ounce
Confidence level = 99%
Length of confidence interval = 2 ounces
Therefore,
margin of error, E = (Length of confidence interval ) ÷ 2
= 2 ÷ 2
= 1 ounce
Now,
E = 
here,
z = 2.58 for 99% confidence interval
n = sample size
thus,
1 = 
or
n = (2.58 × 5.5)²
or
n = 201.3561 ≈ 201
Hence,
option (c) n = 201
Answer:
Step-by-step explanation:
Depends on what you mean by multiplying by - 1. I assume you are not going to multiply the y or f(x) term by - 1.
If that is so, take an example. Suppose you have a graph that is y=x^2
That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.
When you multiply the right hand side by - 1, the graph you get will be y = - x^2.
That opens downward and the focus is on the - y axis.
That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.
180 min
Explanation:
3
×
10 min
=
30 min
In 6 hours, Mr. White takes a total of 30 min in breaks.
36 h
=
6 h
×
6
In 36 hours
, there are 6 sets of 6 h
.
Hence we can multiply the number of minutes in breaks taken in
6 h
ours by 6 to obtain the number of minutes in breaks taken in 36 h
ours.
30 min
×
6
=
180 min
Hey there,
To solve this problem, let us first define what is mean and median. Mean is the average of all the numbers in the data set while the median is the number in the middle of the data set in ascending order. If we create a box plot for the data of Rome and New York, we can see that there is an outlier in the data for New York. Since New York has an outlier, so the mean is not a good representation on the central tendency of the data. The mean is skewed (distorted) by the outlier. So in this case it is better to use the median. While the Rome data is nice and symmetrical, it does not seem to have an outlier, so we can use the mean for this data set.
Therefore the answer is:
The Rome data center is best described by the mean. The New York data center is best described by the median
Hoped I Helped