Answer:
x = 0
Step-by-step explanation:
Substituting the given "point" into the equation gives the possibilities for x.
<h3>Substitution</h3>
Using (x, y) = (x, 8), the inequality becomes ...
3x -4 < 8
Solving for x gives ...
3x < 12 . . . . . . . add 4
x < 4 . . . . . . . divide by 3
Any value of x less than 4 will make (x, 8) a solution to the inequality. For example, ...
x = 0 . . . . . . (0, 8) is a solution to the inequality
In this scenario, there are only 2 possible outcomes. It is either the answer is correct or wrong.Since the outcomes are independent, it means that it is binomial probability. We would apply the binomial distribution formula which is expressed as
P(x) = nCx * p^x * q^(n - x)
where
n is the sample size
x is the number of successes
p is the probability of success
q = 1 - p = probability of failure
From the information given,
p = 1/4 = 0.25
q = 1 - 1/4 = 3/4 = 0.75
n = 12
x = 5
We want to find P(x = 5)
P(x = 5) = 12C5 * 0.25^5 * 0.75^(12 - 5)
P(x = 5) = 0.103
The probability that among 12 test subjects, exactly 5 answers are correct is 0.103
l
Answer:
Step-by-step explanation:
17/6 should be the correct answer
Answer:
<h2>A. (0, 8)</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>y = mx + b</em>
<em>m</em> - slope
<em>b</em> - y-intercept → (0, b)
We have the equation <em>y = 6x + 8</em>. Therefore
<em>m = 6</em>
<em>b = 8</em>
