Topic 11
Why is the following a statistical question?
How many minutes did students spend reading books last night?
Some students could have spent more time than others reading books.
Solve the equation 2x^5=64
4
Write y=8^x in log form
log8(y)=x
Jae invested $3,500 at a rate of 2.25% compounded continuously in 2010. How much will be in the account in 2025? How much interest will the account have earned by 2025?
There will be $4,905.04
The account will have earned $1,4405.04
What is the compound interest formula?
Is an exponential model that is used to calculate the value of an investment when interest is compounded
S varies inversely as G. If S is 8 when G is 0.9, find S when G is 3.
Write the variation and then find S when G is 3
A) S= k/G
B)2.4
Solve the equation 5x^3=320
4
Solve the equations 2x=8 and 2^x=8
x=4 and log2(8)=x
The population of a certain city was 4,364 in 1996. It is expected to decrease by about 0.47% per year. Write an exponential decay function, and use it to approximate the population in 2027.
f(x)=4,364(0.9953)^x
The approximate population of the city in 2027 will be 3,771
What is a natural base e?
Is defined as the value that the expression (1+1/x)x approaches as x-----+ infinity.
Write a statistical question that uses a categorical variable.
What is your primary color?
Solve the radical equation √ x+9 - √ 2x=3
x^2-72x=0
Solve the equation
3/x = 15/40
Write the polynomial in standard form
5w-w^5+0.2w^2-10.5
-w^5+0.2w^2+5w-10.5
What's a geometric series?
Is the sum of the terms of a geometric sequence Sn.
Find the standard deviation
8,15,16,19,24,29,32,38,46,51
13.3
What is the sum of f(x)=3x+4 and g(x)=x^2-5x+2
(3x+4)-(x^2-5x+2)
Sarah can paint in 6 hours while it takes Steven 5 hours to paint the same room. How long would it take them to paint the room if they worked together?
It would take 2.7 Hours
Write the equation in logarithmic form.
y=10x
log10y
What's a radical function?
contains a radical expression with the independent variable (usually x) in the radicand.
Given a mean, standard deviation, and a raw score, find the corresponding z-score. Assume the distribution is normal.
Mean 50,standard deviation 2, x=47
z=-1.5
f(x)=x-7 and g(x)=2x^2-13x-7
1x/-13x
Solve the following equation
1/x-1 + 1/x+1= 2/x^2-1
There is no solution
Write the equation in logarithmic form.
e-9=0.0001
-9=ln 0.0001
What's a Extraneous solution
is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.