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1. Determine whether the following equations have a solution or not? Justify your answer.
a) x^2+6x-7=0
b) z^2+z+1=0
c) (3)^1/2y^2-4y-7(3)^1/2=0
d) 2x^2-10x+25=0
e) 2x^2-6x+5=0
f) s^2-4s+4=0
g) 5/6x^2-7x-6/5=0
h) 7a^2+8a+2=0
2. If x=1 and x=-8, then form a quadratic equation.
3. What type of solution do you get for quadratic equations where D<0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
4. Create a real-life situation that fits into the equation (x+4)(x-7)=0 and express the situation as the same equation.
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Calculate the suitable mean response time from both proposed locations and find out which proposed site must be selected for the new emergency facility.
Your regional manager is impressed with how you've employed spreadsheets to aid your small company in saving time and more accurately figuring out payroll amounts.
A large electronics company wants to estimate the proportion of all households that own GPS machines. What sample size is required that would give the maximum error of 2.0% for a 95% confidence interval? An unscientific survey had a result of 30%.
If the shop does not want to give more than 1% of its customers a free lube and oil change service, how long should the guarantee be?
Last year the average deposit for all 10,000 clients was $25,000 with a standard deviation of $30,000. Do you think a small sample of 25 is enough to give them the margin of error they want? If not, how large a sample do you suggest they need to t..
How large a sample is required to estimate the mean speed with a margin of error equal to 2 miles per hour with 90% confidence?
If random sample of size n = 16 are selected, can we say anything about the xbar distribution of sample means?
Listed below are weights in grams from a sample of these bats. Construct a 95% confidence interval estimate of their mean weight.
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