Answer:
A (5,4)
B (5,3)
C (6, 3)
D (2,0)
E (2,1)
Step-by-step explanation:
If the figure is rotated about the origin by 90 degrees, then the values of the co-ordinates of all the vertices will be as follows -
A (5,4)
B (5,3)
C (6, 3)
D (2,0)
E (2,1)
<u>Given</u><u> </u><u>:</u><u>-</u>
<u>Solution</u><u> </u><u>:</u><u>-</u>
>> 2x + 5 < x + 1 / 4
>> 4 (2x + 5) < x + 1
>> 4 × (2x + 5) < x + 1
>> 8x + 20 < x + 1
>> 8x - x < 1 - 20
>> 7x < 1 - 20
>> 7x < -19
>> x = -19 / 7
Answer: 188 is the outlier
Step-by-step explanation:
Find median of the whole data set. The median is 83.5.
Then find Q1 and Q3. Q1 is 78, Q2 is 96.
Then find the IQR. The IQR is 18.
Find the inner fences of the data set. The inner fences are 51 and 123. Anything that is outside of 51 or 123 is an outlier so 188 is an outlier.
Answer:
1 17/40 m^3
Step-by-step explanation:
Volume = l*w*h
= 1 9/10 * 1 1/2 * 1/2
Changing the mixed numbers to improper fractions
1 9/10 = (10*1+9) /10 = 19/10
1 1/2 = (2*1+1)/2 = 3/2
1/2 = 1/2
V = 19/10* 3/2*1/2
=57/40
Changing this back to a mixed number
40/40 + 17/40
1 17/40