math Algebra

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math Algebra

PLEASE CHECK ATTACHMENT FOR FULL PAPER

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A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. Find the value that is +1 standard deviations from the mean.

  1. 53.3
  2. 36.7
  3. 59.6
  4. 28.4

Evaluate the sum of the series .

  1. 51
  2. −15
  3. −11
  4. 15

Find the center and radius of this equation: (x + 4)2 + (y – 3)2 = 25.

  1. C(4,–3);r=5
  2. C(4,–3);r=25
  3. C(−4,3);r=25
  4. C(–4,3);r=5

What type of conic section is this equation: 3x2 – 18y2 = 36?

  1. circle
  2. ellipse
  3. hyperbola
  4. parabola

Write an equation of a parabola with vertex (0, 0) and focus (0, 5).

  1. x= y2
  2. x= y2
  3. y= x2
  4. y= x2

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A ball on a pendulum moves 50 cm on its first swing. On each succeeding swing back or forth it moves 60% of the distance of the previous swing. Write the first four terms of the sequence of swing lengths.

  1. 50, 30, 18, 10.8
  2. 30, 18, 10.8, 6.48
  3. 50, 20, 8, 3.2
  4. 50, 30, 10, −10

Identify the focus and directrix of this equation: y2 – 20x = 0.

  1. F(5,0);x=−5
  2. F(−5,0);x=5
  3. F(0,5);y=−5
  4. F(0,−5);y=5

Write an equation of a parabola with vertex (0, 0) and focus (0, −5). a. y=− x2

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  1. x=− y2
  2. y= x2
  3. x= y2

Find the foci of this ellipse: +

  1. (0, 10) and (0, −10)
  2. (0, 8) and (0, −8)
  3. (0, 8) and (0, 10)
  4. (0, 6) and (0, −6)

= 1.