Jorge is standing at a horizontal distance of 25 feet away from a building. his eye level is 5.5 feet above the ground and looki
ng up he notices a window washer on the side of the building at an angle of elevation of 65, how high is the window washer above the ground
1 answer:
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Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is =
= - 2.5
Given the graph of the function
and the graph of the function
when f(x) = g(x).
This occurs at the point(s) of intersection of the graphs of the function f(x) and g(x).
From the graph, we can approximate the points of intersection of the graphs of the function f(x) and g(x) to pe points (-1.9, 13.7) and (2.7, 0).
and the graph of the function
This occurs at the point(s) of intersection of the graphs of the function f(x) and g(x).
From the graph, we can approximate the points of intersection of the graphs of the function f(x) and g(x) to pe points (-1.9, 13.7) and (2.7, 0).
Answer:
The probability that seven or more of them used their phones for guidance on purchasing decisions is 0.7886.
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Step-by-step explanation:
<em>The question is incomplete:</em>
<em>What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 14 cell phone owners is studied. Round the answers to at least four decimal places. What is the probability that seven or more of them used their phones for guidance on purchasing decisions? </em>
We can model this as a binomial random variable, with p=0.57 and n=14.
a) We have to calculate the probability that seven or more of them used their phones for guidance on purchasing decisions: