Answer:
Solving the equation for all real solutions in simplest form.
we get 
Step-by-step explanation:
We need to solve the equation for all real solutions in simplest form.

First simplifying the equation:

Now, we can solve the equation using quadratic formula:

we have a = 1, b=-12 and c=12
Putting values in formula and finding values of x

So, we get value of z: z=10.9 or z=1.1
Solving the equation for all real solutions in simplest form.
we get 
<span><span><u>Answer</u>
</span><span>1/55
</span><span><u>Explanation</u>
</span><span>The probability of an event is a chance of it happening. It is calculated as;
Probability =(fouvarable outcome)/(total outcome)
Since we are finding the probability of no girl will be chosen, it is like finding the probability of choosing 3 boys.
The probability of choosing the first boy =4/12
The probability of choosing the second boy =3/11
The probability of choosing the third boy =2/10
The probability of choosing the 3 boys will be,
=4/12×3/11×2/10
=24/1320
=1/55
</span></span>
Answer:
269
Step-by-step explanation:
The margin of Error is E = 0.05
The level of significance is, α = 1 - confidence level = 1 - 0.9 = 0.1
Assume that the proportion is, p =0.5
From the standard normal table, observe that the critical value of Z for two tail test and 10% level of significance is 1.64
The calculation of sample size is as follows: n = (Z/E)²p(1-p)
n = (1.64/0.05)²0.5 (1 - 0.5)
n = (1.64/0.05)² 0.25
n = 1075.84 × 0.25
n = 268.96 ≈ 269
The required sample size with the given margin of error approximately is 269. This value indicates the size of the customers who are using this company’s products.
To solve
82% of x = 119.31
rewrite
x = 119.31/0.82
solve
x <span>≈ 145.5</span>
Hope this helps :)