Answer:
The new values are as follows:
Mean: 134
Median: 129
Mode: 121
Range=45
Standard Deviation=3.6
Step-by-step explanation:
When a k real number is added to all the elements of the dataset, the new measures of center (mean, median, and mode) are simply found by adding the value k to the previous values. Thus
Here 
is 109 and k is 25 thus
Similarly
Here 
is 104 and k is 25 thus
Also
Here 
is 96 and k is 25 thus
When a k real number is added to all the elements of the dataset, the new measures of variation (range and standard deviation) remain the same thus.
Similarly
So the new values of mean, median, mode, range, and standard deviation are 134, 129, 121, 45, and 3.6 respectively.
B. supplementary
The measures of supplementary angles add up to 180 degrees.
What you do is to substitute the first number for x and the second for y:
(x+7)y=10
a):
(-9+7)*-5=10
(-2)*-5=10
10=10
yes, it's a solution!
b)
(-8+7)10=10
-1*10=10
-10=10
no, not a solution!
c) (-2+7)2=10
5*2=10
yes, a solution!!
d) (3+7)*5=10
50=10
no, not a solution!
The height of the fire department is 244.72 m
Step-by-step explanation:
A)
Angle of elevation = 73°
The distance between the two buildings = 46 m
tan 73° = b/46
tan 73° = 3.27
tan 73° = b/46
3.27 = b/46
b = 3.27 x 46
b = 150.42 m
B)
Angel of depression= 64°
The distance between the two buildings = 46 m
tan 64° = a/46
tan 64° = 2.05
tan 64° a/46
2.05 = a/46
a = 2.05 x 46
a = 94.3 m
The total height of the fire department building = a + b
= 94.3 + 150.42
= 244.72 m
The height of the fire department is 244.72 m
