Answer:
x = 10 and x = (-2) are the solutions.
Step-by-step explanation:
In the given equation (x - 4)² - 28 = 8
we will first find the zero factors which will further decide the number of solutions.
(x -4)² - 28 = 8
(x - 4)² -28 - 8 = 8 - 8 (By subtracting 8 on both the sides of the equation)
(x - 4)² - 36 = 0
(x - 4)²- 6² = 0
(x - 4 - 6)(x - 4 + 6) = 0
(x - 10)(x + 2) = 0
Now the equation only two zero factors or two solutions.
x = 10 and x = -2
Answer is two solutions only x = 10 and x = (-2)
Answer:
N = 3/8
Step-by-step explanation:
let the number be N
let's express the word sentence as a mathematical expression:
"a number multiplied by 2/5"
= "N" multiplied by 2/5
= N x (2/5)
= (2N/5) ------- (1)
"a number multiplied by 2/5 is 3/20" can be written as:
(2N/5) = 3/20 (multiplying both sides by 5)
2N = (3/20) x 5
2N = 3/4 (divide both sides by 2)
N = (3/4) ÷ 2
N = (3/4) x (1/2)
N = 3/8
The answer to this question is 15
For a binomial experiment in which success is defined to be a particular quality or attribute that interests us, with n=36 and p as 0.23, we can approximate p hat by a normal distribution.
Since n=36 , p=0.23 , thus q= 1-p = 1-0.23=0.77
therefore,
n*p= 36*0.23 =8.28>5
n*q = 36*0.77=27.22>5
and therefore, p hat can be approximated by a normal random variable, because n*p>5 and n*q>5.
The question is incomplete, a possible complete question is:
Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
Suppose n = 36 and p = 0.23. Can we approximate p hat by a normal distribution? Why? (Use 2 decimal places.)
n*p = ?
n*q = ?
Learn to know more about binomial experiments at
brainly.com/question/1580153
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Answer:
4,2 is tge answer due to the interaction point plus it says the solution is at the interaction.
