Which best describes the transformation that occurs from the graph of f(x)=x^2 to g(x)=(x-2)^2+3??
1 answer:
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Using the binomial distribution, it is found that there is a 38% probability that exactly 18 of them say job applicants should follow up within two weeks.
<h3>How to find that a given condition can be modelled by binomial distribution?</h3>Binomial distributions consists of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by
Binomial probability distribution
The parameters are:
n is the number of trials.
x is the number of successes.
p is the probability of success on a single trial.
In this problem:
62% say job applicants should follow up within two weeks, p = 0.62
25 managers are selected, n = 25
The probability that exactly 18 of them say job applicants should follow up within two weeks is P ( X = 18)
P( X > 18) = 1 - ( X = 18)
= 1 - 0.62
= 0.38
38 % probability that exactly 18 of them say job applicants should follow up within two weeks.
Learn more about binomial distribution here:
#SPJ1
Answer:
a) maximum; the parabola opens downward
b) positive; it must lie above the x-axis
c) x = 1.5
Step-by-step explanation:
The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.
The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When <em>second differences are negative</em>, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the <em>curvature</em> of the function is <em>negatve</em>, and that it <em>opens downward</em>.
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<h3>a, b.</h3>If the graph of the parabola opens downward, and it crosses the x-axis, it must have a <em>maximum</em> that is a <em>positive value of y</em>.
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<h3>c.</h3>The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:
x = (-2 +5)/2 = 3/2
The x-coordinate of the vertex is x = 1.5.
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<em>Additional comment</em>
The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.
