Answer:
x = 1/3
There is one solution
Step-by-step explanation:
3x -1= 1-3x
Add 3x to each side
3x+3x -1= 1-3x+3x
6x-1 =1
Add 1 to each ide
6x-1+1 = 1+1
6x =2
Divide each side by 6
6x/6 = 2/6
x = 1/3
There is one solution
Answer:
x = -2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that a student takes a 20-question, multiple-choice exam with five choices for each question and guesses on each question.
Since each question has 5 choices p = probability for success = pr for getting correct guess = 0.2
Each question is independent of the other and q= pr for failure =1-0.2=0.8
Hence we have X, no of correct questions in the test is binomial n =20 and p =0.2
the probability of guessing at least 15 out of 20 correctly
= ![P(x=15)\\=20C15 (0.2)^{15} (0.8)^5](https://tex.z-dn.net/?f=P%28x%3D15%29%5C%5C%3D20C15%20%280.2%29%5E%7B15%7D%20%280.8%29%5E5)
<0.00001
So we can consider this event unlikely to occur because the probability is almost zero.
Answer:
$9.5 million
Step-by-step explanation:
Profits = $6.6 million
Each year increase = 13% = 0.13
2007 - 2010 = 3 years
Profits = 6.6(1 + .13)^3
= 6.6(1.13)^3
= 6.6 × 1.442896
= $9.5231202 million
Approximately $9.5 million to the tenths of a million dollars