Answer:
72 inches
Step-by-step explanation:
We are given that
Length of rectangle=423 inches
Width of rectangle=360 inches
We have to find the side length of the largest square they can use to fill the checkboard pattern completely without overlap or gaps with the help of Euclid's algorithm.
In order to find the largest side of square we will find HCF (432,360).
Euclid's algorithm
a=dividend
b=divisor
q=quotient
r=remainder
a=432,b=360
HCF(432,360)=72
Hence, the side of largest square=72 inches
Answer:
The coordinates of N are (-1,-6)
Step-by-step explanation:
M is the midpoint of AN
A(-7,4) and M(-4,-1)
The distance AM is given by (-4--7,-1 - 4) = (3,-5)
Since AM = MN;
N = M(-4,-1) + (3,-5)
N = (-4 + 3,-1 + -5)
This gives the coordinates of N to be;
N(-1,-6)
We are asked to determine the next numbers in the given sequence such as 5 10 3 15 20 13 25 30. In order for us to answer this problem, we need to find the difference between the two consecutive number and perform subtraction such as shown below:
For 5 and 10, the difference is -5
For 10 and 3, the difference is 7
For 3 and 15, the difference is -12
For 15 and 20, the difference is -5
For 20 and 13, the difference is 7
For 13 and 25, the difference is -12
For 25 and 30, the difference is -5
Now, we can identify the next two numbers in the sequence since we already know that the format of the difference is -5, 7 and -12. So the next numbers are the following:
30 - 7 = 23
23- (-12) = 35
Therefore, the sequence is 5 10 3 15 20 13 25 30 23 35
The first step is to section the given daigram. It would be shown in the diagram below
Looking at the diagram,
Area of family room = 5.5 * 24 = 132 square feet
Area of hallway = 15.5 * 4 = 62 square feet
Total area to be covered with carpet is
132 + 62 = 194 square feet
Since the cost per square foot is $4, then the cost of putting carpet in the family room and hallway is
194 * 4 = $776* 4 = $776
Answer:
(B) Yes, there is reason. The TV audience might not be representative of the population.
(E) Yes, there is reason. Call-in polls tend to be biased.
Step-by-step explanation:
According to the information given we might consider two answers.
The first answer is:
<em>(B) Yes, there is reason. The TV audience might not be representative of the population.</em>
Let's remember that for a sample to be representative of a population must be random and every person must have the same probability of being selected. Here, the question is targeted only to the TV show's audience, so the results can only be interpreted for this segment of the population.
<em>(E) Yes, there is reason. Call-in polls tend to be biased.</em>
The risk is that the people who call might be influenced by the show itself and would not give an unbiased answer. This creates a bias on the sample. Besides, as stated before, not all the elements of the population can be part of the sample.
