U3A
What is the base of the following equation?
8 = 2(5)3
5
What is the initial value for the given function:
f(x) = 300(1.16)x300
Find a12 in the following sequence:
-1, -3, -9, -27,...
a12 = -177,147
Identify the center of the following conic:
((x - 6)2/25) + ((y2)/4)) = 1
Center: (6,0)
What measure of center is best when the data is skewed?
Median
Simplify:
[(40x2)/(25xy2)]-2
(25y^4)/(64x2)
Convert the following into exponential form:
log(x) = y+2
10(y+2) = x
Given the following recursive formula, find the 7th term.
a1 = 6000
an = (-1/4)an-1
a7 = 1.465
Name the following conic sections in the order listed:
A) 9x2+4y2-18x -8y = 131
B) 2x2-3y2-14x-2y+7 = 0
C) x2+y2-2x-10y = -55
D) x2-3y+4+7x = 0
A) Ellipse
B) Hyperbola
C) Circle
D) Parabola
Given the following data Identify the IQR.
7,5,2,6,8,1,11,1,5,4,3,2
IQR = 4.5
Solve for x given:
22x * 22 = (2x)3
x = 2
Expand: ln(8x/yz)
ln8 + lnx - lny - lnz
Is the following series convergent or divergent? If it converges, what is the sum?
20 + 10 + 5 + (5/2) +...
Converges
sum = 40
Write an equation for the hyperbola with vertices at (-1,1) and Co-vertices at (2,0) and (2,2).
((x-2)2/9) + ((y-1)2/1) =1
If a survey reported a confidence interval between 35% & 45% what is the margin of error?
5%
Solve for x given:
6(1-2x) = 216
x = -1
Solve for x given:
(3/4)(2(x+5))= 30
x = 0.3219
The house your parents bought last year for $250,000 is said to appreciate at a rate of 4.5% per year. If this true, when will your house be worth 330,000?
6 years after they bought the house. So, 2027!
What are the coordinates of the foci for:
(y + 2)2/16 - (x+10)2/9 = 1
c = 5; Foci = (-10, -7) & (-10, 3)
Use the Empirical Rule for normal distributions.
Movies have a mean of 120 minutes in length with a standard deviation of 15 minutes.
Within what range do 95% of movie length/times fall?
(90,150)
What is the equation of the asymptote given:
f(x) = log5(x+3)+5
x = -3
Solve for x given:
e4x + 2 = 20
x = 0.7226
What is the sum of the finite geometric series:
1.5 + 6 + 24 +...+ 393216? (hint: find n 1st)
S10 = 524287.5
Write the equation for the given conic in standard form.
x2 + 10x - 4y +21 = 0
4(y +1) = (x + 5)2
You took an EOC for Econ and got a score of 630 but the mean scores were 519 with a SD of 110. What is your Z-score?
You took an EOC for Lit and got a score of 700 but the mean math scores were 541 with a SD of 90. What is your Z-score?
Which test did you do better on?
Econ z-score = 1.01
Lit z-score = 1.77
You did better on your Literature EOC!