Answer: A B
Group A 0.25 0.75
Group B 0.45 0.55
Step-by-step explanation:
Since we have given that
Number of people of A in Group A = 15
Number of people of B in Group A = 45
Number of people of A in Group B = 20
Number of people of B in Group B = 25
Total number of people in Group A = 15+45 = 60
Total number of people in Group B = 20+25 = 45
So, Relative frequencies will be given below:
Relative frequency of A in Group A is given by
Relative frequency of B in Group A is given by
Relative frequency of A in Group B is given by
Relative frequency of B in Group B is given by
Hence, A B
Group A 0.25 0.75
Group B 0.45 0.55
Answer :
98°
Step by step explanation :
As we can see in figure,
∠F = 53°
∠H = 45°
So,
[Angle sum property, which states that the sum of all the angles of a triangle is 180°]
=> ∠FGH + 45° + 53° = 180°
=> ∠FGH = 180° - 98°
=> 
Now,
∠x + ∠FGH = 180°
[linear pair]
=> ∠x = 180° - 82°
=> 
<h2><u>Alternative Method :</u></h2>
We know that sum of two opposite interior angles is equal to the exterior angle.
So
∠x = ∠GHF + ∠HFG.
=> ∠x = 45 ° + 53°
=>
Hope this helps!
The answer is c smaller than
Answer: D. (x+5)/(x-3)
Step-by-step explanation:
Domain = Set of all input values of a function.
range = set of all output values of a function.
Given: Domain: 
; range = 
We do not include a value for domain if it makes the expression indeterminant .
Since all the functions in options are fractions, here the denominator does not equal to 0.
But in option C and D, the denominator can be zero if x=3.
So , domain for then it 
Also, for option C if 
.which is not true.
Wher as in option D, 
Hence, Domain: ; range = is for option D.
Create equations:
10X+15y=2575.
X+Y=210.
Solve for X: X=210-Y, and sub it into the other equation: 10(210-Y)+15Y=2575. Solve for Y: 2,100-10y+15y=2575, 5y=475, y=95.
Sub Y into the original problem: X+95=210. Solve: X=115.
The first mechanic charges $115 per hour and the second charges $95 :)
