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noname [10]
3 years ago
12

A poll shows that 41% of voters in a city favor of a $0.01 tax increase. If 25 voters are selected at random, what is the probab

ility that exactly 15 of them will vote in favor of
the initiative?
A. 0%
B. 1.2%
C. 2.6%
D. None of the choices are correct
Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0

Answer:

2.6% (Approx)

Step-by-step explanation:

Given:

Number of favor voter = 41% = 0.41

Random selected voters = 25

Exact favor voter = 15

Find:

Probability that exactly 15  will in favor.

Computation:

Number of non-favor voter = 1 - 0.41 = 0.59

Given question is a combination problem.

⇒ ²⁵C₁₅ × 0.41¹⁵ × 0.59¹⁰ =  

⇒ 0.02598130

= 2.6% (Approx)

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Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
Evgen [1.6K]

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contain the point (-5 , -3) and has a center at (-2 , 1)

Step-by-step explanation:

The equation of a circle of center (h , k) and radius r is:

(x - h)² + (y - k)² = r²

The given is:

  • The center of the circle is (-2 , 1)
  • The circle passes through point (-5 , -3)

The length of the radius is the distance from the center of the circle

to a point on the circle

∵ The formula of the distance is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∵ The center of the circle is (-2 , 1)

∵ The circle passes through point (-5 , -3)

∴ r=\sqrt{[(-5)-(-2)]^{2}+[(-3)-(1)]^{2}}

∴ r=\sqrt{[-3]^{2}+[-4]^{2}}

∴ r=\sqrt{9+16}

∴ r=\sqrt{25}

∴ r = 5

∵ The equation of the circle is (x - h)² + (y - k)² = r²

∵ The center of the circle is (-2 , 1)

∴ h = -2 and k = 1

∵ r = 5

∴ r² = (5)² = 25

- Substitute the values of h , k , r² in the equation of the circle

∴ (x - -2)² + (y - 1)² = 25

∴ (x + 2)² + (y - 1)² = 25

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contains

the point (-5 , -3) and has a center at (-2 , 1)

Learn more:

You can learn more about the equation of the circle in brainly.com/question/9510228

LearnwithBrainly

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Solving the following system using the elimination or the substitution method.
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Answer and Step-by-step explanation:

For these system of equations, it would be easier to use the substitution method, as we are have one equation that is being equaled to a variable.

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<em><u>#teamtrees #PAW (Plant And Water)</u></em>

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