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weqwewe [10]
2 years ago
13

According to a poll, 56% of voters support funding a new community center. A surveyor randomly selects 75 voters and asks each v

oter if he or she is in favor of the center. If being in favor of the center is a success, what is the probability of a success for this binomial experiment? 0. 34 0. 44 0. 56 0. 75.
Mathematics
1 answer:
Debora [2.8K]2 years ago
8 0

The probability of a person being a supporter of the new community center is 56% or 0.56.

<h2 /><h2>Given to us</h2>
  • 56% of voters support funding a new community center
  • A surveyor randomly selects 75 voters and asks each voter if he or she is in favor of the center.

<h2>To find</h2>

the probability of a success for this binomial experiment.

We want to know the probability of a single success for this experiment. therefore,

x=1

As given to us that 56% of the voters support funding the new community center, there, the probability of a person being a supporter is 0.56.

p=0.56

Thus, the probability of a person being a supporter of the new community center is 56% or 0.56.

Learn more about binomial distribution:

https://brainly.in/question/1640230

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Required

The graph equation

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

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<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

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<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
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