Step-by-step explanation:
(given)
Let us consider :
= 
= 
=
=
=
Now, by substituting the above considerations in the above equation, we get:
where,
1
then it follows
n = 20
r = 4
then no. of solutions for the eqn = 
= 
= 10626
Answer :
no. of solutions for the eqn 10626
Answer:
Which of the following questions allows for variability?
How many students visited the nurse on Monday, September 15, 2014, at your school?
How many free throws can a person make in one minute?
How much money do doctors earn per year?
How tall are the players on the Harlem Globetrotters?
Step-by-step explanation:
HELP
Answer:
Step-by-step explanation:
Given a total of 12 diesel engines
out of which 2 are defective
Company have to choose 5 good engines to ship.
Therefore no of ways in good engines are selected is 
no of ways in which any 5 engines are selected from a total of 12 engines is

Therefore the required probability =
=
=0.318
Answer:
A, C, D
Step-by-step explanation:
Consider triangles NKL and NML. These triangles are right triangles, because

In these right triangles:
- reflexive property;
- given
Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so
![\overline{KN}\cong \overline{NM}\\ \\\overline{KL}\cong \overline{LM}\ [\text{option D is true}]](https://tex.z-dn.net/?f=%5Coverline%7BKN%7D%5Ccong%20%5Coverline%7BNM%7D%5C%5C%20%5C%5C%5Coverline%7BKL%7D%5Ccong%20%5Coverline%7BLM%7D%5C%20%5B%5Ctext%7Boption%20D%20is%20true%7D%5D)
Since

then
![7x-4=5x+12\\ \\7x-5x=12+4\\ \\2x=16\\ \\x=8\ [\text{option A is true}]\\ \\MN=KN=7\cdot 8-4=56-4=52\ [\text{option C is true}]](https://tex.z-dn.net/?f=7x-4%3D5x%2B12%5C%5C%20%5C%5C7x-5x%3D12%2B4%5C%5C%20%5C%5C2x%3D16%5C%5C%20%5C%5Cx%3D8%5C%20%5B%5Ctext%7Boption%20A%20is%20true%7D%5D%5C%5C%20%5C%5CMN%3DKN%3D7%5Ccdot%208-4%3D56-4%3D52%5C%20%5B%5Ctext%7Boption%20C%20is%20true%7D%5D)
Option B is false, because KN=52 units.
Option E is false, because LN is congruent KN, not LM
The meaning of circumference is to find the distance around a circle or in other words perimeter by using the formula C=2πr or C=<span>πd.
On this case it is asked you to find the circumference of a circle with a diameter of 3 meters, so you will use the formula C=2</span><span>πr.
C=2</span><span>πr
C=2(3.14)(3)
C=18.84 meters
The circumference of the given circle is 18.84 meters.</span>