Answer:
B
Step-by-step explanation:
Remember you can do anything to an equation as long as you do it to both sides
2x+3(x-4)=x-20
first distribute
2x+3(x)+3(-4)=x-20
2x+3x-12=x-20
5x-12=x-20
minus x both sides
4x-12=-20
add 12 to both sides
4x=-8
divide both sides by 4
x=-2
Answer:
The probability of the student will pass the quiz = .0546
Step-by-step explanation:
Given -
Total no of question = 10
If the student guesses on each question there are two outcomes true of false
the probability of guesses question correctly = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
the probability of success is (p) = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
the probability of guesses question incorrectly = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
the probability of failure is (q) = 1- p = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
If the student guesses on each question he must answered at least 8 question correctly
the probability of the student will pass the quiz = ![P(X\geq8 )](https://tex.z-dn.net/?f=P%28X%5Cgeq8%20%29)
= P(X = 8 ) + P(X = 9) + P(X = 10 )
= ![\binom{10}{8}(p)^{8}(q)^{10 - 8} + \binom{10}{9}(p)^{9}(q)^{10 - 9} + \binom{10}{10}(p)^{10}(q)^{10 - 10}](https://tex.z-dn.net/?f=%5Cbinom%7B10%7D%7B8%7D%28p%29%5E%7B8%7D%28q%29%5E%7B10%20-%208%7D%20%2B%20%5Cbinom%7B10%7D%7B9%7D%28p%29%5E%7B9%7D%28q%29%5E%7B10%20-%209%7D%20%2B%20%5Cbinom%7B10%7D%7B10%7D%28p%29%5E%7B10%7D%28q%29%5E%7B10%20-%2010%7D)
= ![\frac{10!}{(2!)(8!)}(\frac{1}{2})^{8}(\frac{1}{2})^{10 - 8} +\frac{10!}{(1!)(9!)} (\frac{1}{2})^{9}(\frac{1}{2})^{10 - 9} + \frac{10!}{(0!)(10!)}(\frac{1}{2})^{10}(\frac{1}{2})^{10 - 10}](https://tex.z-dn.net/?f=%5Cfrac%7B10%21%7D%7B%282%21%29%288%21%29%7D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B8%7D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B10%20-%208%7D%20%2B%5Cfrac%7B10%21%7D%7B%281%21%29%289%21%29%7D%20%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B9%7D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B10%20-%209%7D%20%2B%20%5Cfrac%7B10%21%7D%7B%280%21%29%2810%21%29%7D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B10%7D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B10%20-%2010%7D)
= ![45\times\frac{1}{2^{10}} + 10\times\frac{1}{2^{10}} + 1\times\frac{1}{2^{10}}](https://tex.z-dn.net/?f=45%5Ctimes%5Cfrac%7B1%7D%7B2%5E%7B10%7D%7D%20%2B%2010%5Ctimes%5Cfrac%7B1%7D%7B2%5E%7B10%7D%7D%20%2B%201%5Ctimes%5Cfrac%7B1%7D%7B2%5E%7B10%7D%7D)
= ![\frac{56}{2^{10}}](https://tex.z-dn.net/?f=%5Cfrac%7B56%7D%7B2%5E%7B10%7D%7D)
= .0546
Answer:
tis is not confirmed answer
Step-by-step explanation:
comiision: 112.5%
Equation: 300+35x=1700; where x represents the amount of teams participating in the tournament
Answer: 40 teams competed in the lacrosse tournament
How to solve-
300+35x=1700
300-300+35x=1700-300
35x=1400
35/35x=1400/35
x=40