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These questions are about the quadratic function which takes the form:
y=ax^2+bx+c
Where a is non-zero.
Choose the false statements.
A. If c=0, then the graph of y will go through the origin
B. If B=0, then the graph of y will not be a parabola.
C. The graph of y will have a minimum value if a is positive.
D. The graph of y will always cross the x-axis.
E. The graph of y will always cross the y-axis.
F. The graph of y is symmetric about a line through its vertex parallel to the y-axis.
G. If the graph of y just touches the x-axis the equation y=0 has just one solution.
H. The function y takes its maximum or minimum value when the gradient takes the value zero.
You are told that a line is tangent to the circle centred at (3,2) with radius 2. If the tangent line and circle intersect at the point (4, 2+ sqrt(3)) find the equation of the tangent.
Find the probability that the age of a randomly selected CEO will be between 56-57 y/o. (round to 4th decimal) The probability a randomly selected CEO will be between 56-57 y/o is?
What types of information can you gather from graphing a formula? (Every day use, like budgets, Surveys, etc.)
Estimate the true mean tensile strength of bars of this size and tyoe using 90% confidence interval. List any assumptions you need to make. Given n=150, x(bar)=477N/mm^2, and s=13.
Suppose the budget has the support of 52% of the voters. What is the probability that the newspaper's sample will lead it to predict defeat?
The distribution of bladder volume in women is approximately N(400,75) in milliliters. Find the proportion of women's bladders with a volume between 500 and 600m.
What has the narrator done that had so gravely upset his parents?How do his father and sister deal with his transgressions?How do father and son articulate their diverging views over the son's past
Answer question about ""the waste land". The title of this section is "The Burial of the Dead." Read all the poems, write a summary description to answer those questions.
The mean equal to 16 oz. and standard deviation equals 0.6 oz. Find the probability that a bottle selected at random will contain less than 15 ounces?
A segment has endpoints with coordinates (2,-7) and (5,1). Find the length and midpoint of the segment.
Show that the Substitution Leads to Hermite's Equation, In quantum mechanics, you will work with the following differential equation
By contracting an edge e = uv, we mean removing e and identifying the vertices u and v as a single new vertex. Let num_T(G) denote the number of spanning trees of the graph G.
Application of differential calculus: Maximization and Minimization - what are the largest and smallest revenues your company your company can make under this deal?
Find the break-even points and the maximum revenue.
A drawer contains n=5 different and distinguishable pairs of socks (a total of 10 socks). If a person randomly selects 4 socks, what is the probability that there is no matching pair in the sample?
Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?
Example of a Random Procedure with Specified Events. Please list as many different groups of complete events as possible for an experiment of your choice (Probability). Need real world example on complete events
Determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circle - What length and width should the rectangle have so that its area is a maximum?
Estimate the galois group.
What is the mathematical model for the total profit earned by producing and selling x units ? What is the optimal solution for this production model?
T.J.'s market is a small local grocery store with only one checkout counter. Assume that the shoppers arrive at the checkout lane at an average rate of 15 customers per hour and that the average order takes 3 minutes to ring up and bag.
Find the slope and the y-intercept of the line represented by the equation: 2x + y = 14. Write the equation of a line in slope-intercept form with the slope of -4/5 and y-intercept (0, -3)
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