Statistics
What type of sampling method:
Your town wants to determine if they should make improvements on the local dog park. You ask people leaving the dog park if they should make the improvements.
Convenience Sample
Find the axis of symmetry:
f(x) = 2(x+5)^2-12
x=-5
Simplify:
(4x^3-9x^2+2)-(6x^3+4x^2-7x+10)
-2x^3-13x^2+7x-8
What is
i^2?
-1
In a survey of 3287 random people, 19% said that they go to the movies at least once a month. What is the margin of error?
1.74%
Describe the transformation(s) from the parent function:
f(x)=-2(x+3)^2-1
Reflection over x-axis, vertical stretch by a factor of 2, left 3, down 1
Factor the expression:
3x^3-6x^2-72x
3x(x+4)(x-6)
Find the values of x and y that satisfy the equation:
4x-9i=24+3yi
x=6, y=-3
The times drivers spend waiting in a curbside pickup zone are normally distributed with a mean of 8 minutes and a standard deviation of 1 minute. What percentage of people wait 7 minutes or longer?
84%
Find the vertex:
g(x)=2x^2-8x+4
(2,-4)
Write the expression in standard form:
(2x^2-4x+3)(x-5)
2x^3-14x^2+23x-15
Simplify:
\sqrt(-588)
14i\sqrt3
Identify the population:
Out of 850 drivers in New Jersey, only 14 stated they received more than 2 speeding tickets in the past year
Write the rule for g(x) described by the transformations:
f(x)=x^2
; vertical shrink by a factor of 1/2, followed by a translation 3 units right, and 5 units up
g(x)=1/2(x-3)^2+5
Divide the expression using synthetic division:
(3x^4+7x^2-8x+2)\div(x-2)
3x^3+6x^2+19x+30+62/(x-2)
Solve the equation:
5x^2+45=0
x=\pm3i
Explain why the question may be biased:
"Should the city replace the outdated police cars its using?"
Answers will vary
Write the equation in vertex form:
f(x)=x^2+6x+5
f(x)=(x+3)^2-4
Solve the equation:
2x^3-80x=-6x^2
x={-8,0,5}
Simplify the expression:
(4+3i)(2-7i)
29-22i