Answer:
Hello!!
If the ratio of girls to boys in a class is 3:5, the fraction of the class that are girls is...

Hope this helps!!
Answer:
--- Objective function
Interval = 
Step-by-step explanation:
Given
Represent the number with x
The required sum can be represented as:

Hence, the objective function is:

To get the the interval, we start by differentiating w.r.t x
<em>Using first principle, this gives:</em>

Equate S'(x) to 0 in order to solve for x

Subtract 1 from both sides


Multiply both sides by -1

Cross Multiply


Take positive square root of both sides because x is positive


Representing x using interval notation, we have
Interval = 
To get the smallest sum, we substitute 1 for x in 



<em>Hence, the smallest sum is 2</em>
Answer:
114°
Step-by-step explanation:
The exterior angle is the sum of the remote interior angles.
__
<h3>setup</h3>
(11x +15)° = 60° +6x°
<h3>solution</h3>
5x = 45 . . . . . . . . . divide by °, subtract 15+6x
x = 9 . . . . . . . . . . divide by 5
The measure of exterior angle KMN is ...
m∠KMN = (11(9) +15)° = 114°
_____
<em>Additional comment</em>
Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...
60° +6x° +M = 180°
(11x +15)° +M = 180°
Equating these expressions for 180° and subtracting M gives the relation we used above:
(11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°
(11x +15)° = 60° +6x° . . . . . . . . . . . subtract M
This is also described by "supplements to the same angle are equal."
Answer:
The appropriate response is "0.9476".
Step-by-step explanation:
The given values are:
Standard deviation,

Randomly selected railroad-car shipments,
n = 500
As we know,
⇒ 
On substituting the values, we get
⇒ 
then,
⇒ 
⇒ 
On using the table of P, we get
⇒ 
⇒ 
Step-by-step explanation:
so the smallest angle is angle A which is 30 degree