macabresubwoofer

and 1st. A

Since there are 15 brown candies out of 52 total, the probability is 15/52.

2nd. Answer: C) multiply by 2 and add 3

1*2+3 = 5
5*2+3 = 13
13*2+3 = 29
29*2+3 = 61

The solution is 2x + 3. To get the next term in the pattern, the term is multiplied by 2 and then 3 is added to the result.

5 = 2(1) + 3

13 = 2(5) + 3

29 = 2(13) + 3

61 = 2(29) + 3

Original List = {4000, 2500, 3500, 2000, 1500, 4000, 5000}



Sorted List = {1500, 2000, 2500, 3500, 4000, 4000, 5000}
The middle value of that sorted list is 3500, so this is the median


The mean is found by adding up the values and then dividing by 7 (since there are 7 values) so we have
mean = (sum of values)/7
mean = (1500+2000+2500+3500+4000+4000+5000)/7
mean = 22500/7
mean = 3214.286 (approx)

The mode is 4000 because this value is the most frequent. It shows up twice while everything else shows up once.

the range is the difference of the largest and smallest items
range = max - min
range = 5000 - 1500
range = 3500
coincidentally it is equal to the median, but this wont always be the case

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mean = 3214.286
median = 3500
mode = 4000
range = 3500

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Going through the answer choices we have...
A) True, 3214.286 is less than 4000
B) False, 4000 is not less than 3214.286
C) False, 3214.286 is not larger than 3500
D) False, 3500 is not greater than 3500
E) False, 3214.286 is not greater than 3500

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Answer is choice A) mean is less than the mode

Cone A and cone B are congruent, so they must have the same volume. Cone A has volume of 8pi in^3 (because we're told cone B has this volume)


focus on cone A only for now
r = radius = d/2 = x/2
h = height = x+2
V = volume of cone
V = 8pi
V = (1/3)*pi*r^2*h
8pi = (1/3)*pi*(x/2)^2*(x+2)
8pi = (1/3)*pi*((x^2)/4)*(x+2)
8pi = pi*((x^2)/12)*(x+2)
8 = ((x^2)/12)*(x+2) ... divided both sides by pi
12*8 = x^2(x+2) ... multiplied both sides by 12
96 = x^3+2x^2
0 = x^3+2x^2-96
Using a graphing calculator, I found the solution to that equation to be x = 4. Basically you are looking for the x intercept of f(x) = x^3+2x^2-96

So,
h = x+2
h = 4+2
h = 6

Answer: B) 6 in

tan(angle) = opposite/adjacent
tan(25) = 89/x
x*tan(25) = 89
x = 89/tan(25)
x = 190.86111592535 make sure your calc is in degree mode
x = 191

Answer: D) 191 ft

1ST. A

1. C

2. A

C. 0

yes, it's true

D. (2, 1)