math algebra 3
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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.
- 53.3
- 36.7
- 59.6
- 28.4
Evaluate the sum of the series .
- 51
- −15
- −11
- 15
Find the center and radius of this equation: (x + 4)2 + (y – 3)2 = 25.
- C(4,–3);r=5
- C(4,–3);r=25
- C(−4,3);r=25
- C(–4,3);r=5
What type of conic section is this equation: 3x2 – 18y2 = 36?
- circle
- ellipse
- hyperbola
- parabola
Write an equation of a parabola with vertex (0, 0) and focus (0, 5).
- x= y2
- x= y2
- y= x2
- 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.
- 50, 30, 18, 10.8
- 30, 18, 10.8, 6.48
- 50, 20, 8, 3.2
- 50, 30, 10, −10
Identify the focus and directrix of this equation: y2 – 20x = 0.
- F(5,0);x=−5
- F(−5,0);x=5
- F(0,5);y=−5
- 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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- x=− y2
- y= x2
- x= y2
Find the foci of this ellipse: +
- (0, 10) and (0, −10)
- (0, 8) and (0, −8)
- (0, 8) and (0, 10)
- (0, 6) and (0, −6)
= 1.