Which ordered pair is the solution to y − x = 3 and 2x + y = 9?
1 answer:
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The complete question in the attached figures
we know that
1 ft---------------> 0.083333 in
so
<span>24 inches high--------------> 24*0.083333=2 ft
</span><span>36 inches wide--------------> 36*0.083333=3 ft
</span><span>we will analyze each drawing
</span><span>
drawing a) scale 1/4 in/ 1 ft ----------> (1/4)/1=1/4
for a high of 2 ft-------------> 2*(1/4)=0.5 in
f</span>or a wide of 3 ft-------------> 3*(1/4)=0.75 in
drawing a) is not solution
drawing b) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing b) is not solution
drawing c) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing c) is not solution
drawing d) scale 1 in/ 1 ft ----------> (1)/1=1
for a high of 2 ft-------------> 2*(1)=2 in
for a wide of 3 ft-------------> 3*(1)=3 in
drawing d) is a solution
the answer is
The correct model of the flag is the drawing D
we know that
1 ft---------------> 0.083333 in
so
<span>24 inches high--------------> 24*0.083333=2 ft
</span><span>36 inches wide--------------> 36*0.083333=3 ft
</span><span>we will analyze each drawing
</span><span>
drawing a) scale 1/4 in/ 1 ft ----------> (1/4)/1=1/4
for a high of 2 ft-------------> 2*(1/4)=0.5 in
f</span>or a wide of 3 ft-------------> 3*(1/4)=0.75 in
drawing a) is not solution
drawing b) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing b) is not solution
drawing c) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing c) is not solution
drawing d) scale 1 in/ 1 ft ----------> (1)/1=1
for a high of 2 ft-------------> 2*(1)=2 in
for a wide of 3 ft-------------> 3*(1)=3 in
drawing d) is a solution
the answer is
The correct model of the flag is the drawing D
Outliers are data that are relatively far from other data elements.
The dataset has an outlier and the outlier is 120
The dataset is given as:
- 91 83 84 79 91 93 95 97 97 120 101 105 98
Sort the dataset in ascending order
- 79 83 84 91 91 93 95 97 97 98 101 105 120
The Q1 is then calculated as:
So, we have:
This is the average of the 3rd and the 4th element
The Q3 is then calculated as:
So, we have:
This is the average of the 10th and the 11th element.
The IQR is then calculated as:
Also, we have:
The lower and the upper outlier range are calculated as follows:
120 is greater than 117.5.
Hence, the dataset has an outlier and the outlier is 120
Read more about outliers at: