Does the following series converge or diverge
500+100+20+4...
Converges
100
Find mean, median and mode for the following set of data:
65, 76, 45, 65, 87, 93, 54, 26, 46, 87, 27, 65, 76, 65, 94, 52, 87
Mean- 65.29
Median- 65
Mode- 65
100
2 Dice are rolled. What is the probability that the sum is 9?
1/9
100
Does the following describe permutations or combinations?
13 cards are selected from a deck of 52 to form a bridge hand.
combinations
100
How can you distinguish a circle, hyperbola, ellipse, and parabola by looking at the standard equation?
circle- both x & y are squared, and same + coefficient
hyperbola- x or y is negative
ellipse- different coefficients +
parabola- either x or y is squared not both
200
Does the following diverge or converge?
4 − 12 + 36 − 108...
Diverges
200
Find the standard deviation for the data:
23, 45, 29, 34, 39, 41, 19, 22
9.08
200
We roll a dice 4 times. What is the probability that we roll all 3s?
0.00077
200
How many distinguishable 11 letter "words" can be formed using the letters in CHATTANOOGA?
11!
_____ = 1,663,200
3!2!2!
200
What is the center of the following conic? And what type of conic is it?
(x-4) - (y+2)
___ ____ = 1
16 25
hyperbola
center at (4,-2)
300
7
Σ−0.25⋅4^(k−1)
11
-1365.25
300
Calculate the IRQ for the following set of numbers
59.0, 60.5, 61.5, 66.7, 67.9, 68.5, 69.0, 70.3, 71.4, 71.9, 72.1, 72.6
7.55
300
We roll a dice 4 times. What is the probability that we roll exactly 2 3's.
0.01929
300
A 3-woman committee is to be selected from a 25-member sorority. How many different committees can be selected?
2300
300
Find the equation for an ellipse with a foci at (+/- 2,0) and major axis length 10
(x^2) + (y^2)
____ _____ = 1
25 21
400
Write a formula for the nth term in the sequence:
1/2, 3/4, 5/6, 7/8....
an=(2n-1)/(2n)
400
Find the 5 number summary for the following
66.2, 66.7, 67.7, 72.8, 74.3, 74.4, 74.6, 76.5, 79.4, 78.8, 79.0, 76.6
{66.2, 70.25, 74.5, 77.7, 79.4}
400
What is the probability of drawing a queen from a standard deck of 52 cards?
1/13
400
Juan has money to buy only three of the 48 compact discs available. How many different sets of discs can he purchase?
17,296
400
Find an equation for the parabola with a vertex at (-3,3) and a directrix at y=0
(x+3)^2 =12(y-3)
500
Find the 34th term for an arithmetic sequence where the first term is -14 and d=6
184
500
How much of the data lies within 1 standard deviation of the median? Within 2? Within 3?
68%, 95%, 99.5%
500
If it rains tomorrow, the probability is .8 that John will practice his piano lesson. If is does not rain tomorrow, there is only a .4 chance John will practice. Suppose the change of rain is 60%. What is the probability that John will practice his piano lesson?
0.64
500
How many different license plates begin with two digits, followed by two letters and then three digits if no letters or digits are repeated?
19,656,000
500
Identify the conic then complete the square to write the conic in standard form.
2x^2 - 3y^2 -12x-24y+60=0