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Solve the following questions involving fundamental operations on polynomials:
A) find p(x)+4q(x)
p(x)=3x^5+70x^3-67x^2+3
q(x)=3x^3+56x^2-19
B) Find P(-1/2)if P(x)=x^4=3x^2+2
C) If P(y)=10y^2+4
Q(y)=y^3-5y^2+3y+7
Find 3P(y)+Q(y)
D) (x^2+y^2+4z^2+2xy+4yz+4zx)+(x^2+4y^2+4z^2-4xy-8yz+4zx)
E) (3x+2y)^2
F) (x+9)(x-4)
G) Divide: (6x^3-5x^2-13x+13)divided by (2x+3)
Factor completely:
A: 16x^2+40x+25
B: 6x^2-28x+16
C: x^4+2x^3-3x-6
Solve the following problems involving applicatins of polynomials:
A: Three consecutive even integers are such that the square of the third is 76 more than the square of the second, Find the three integers?
B: A rectangular parking lot is 50 ft longer than it is wide, Determine the dimensions of the parking lot if it measures 250 ft diagonally?
Suppose you were trying to decide which of two machines to purchase. Furthermore, suppose the length to which the machines cut a particular product part was important. If both machines produced parts that had the same average length, what other co..
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In a survey of women in a certain country (ages 20-29) the mean height was 64.5 inches with a standard deviation of 2.75 inches. What height represents the 90th percentile? What height represents the first quartile?
Determine the probability that the project will be completed in 70 days or less.
The management of a chain of fast food restaurants wants to investigate the relationship between the daily sales volume (in dollars) of a company restaurant and the number of competitor restaurants within a 1 mile radius. The following data have b..
A random sample of 80 observations from a normally distributed population produced a mean x(bar over the x)= 22.6 . Find a 95% confidence interval for the population mean m if the population standard deviation
Setup the alternative hypothesis that will test the claim that the percentage of women preferring white wine is 25% higher than men.
Twenty-five samples of size 4 resulted in statistics of x=30.0 minutes and R = 2.5 minutes for the company to completely clean a rug. Compute control limits for x- and R-charts and estimate the standard deviation of the process.
Test this conjecture with formal hypothesis test, by using a 5% significance level. Find out the p-value for hypothesis test.
Assume that 5% of men and only .25% of women are colorblind. A colorblind person is chosen at random:
A metropolitan school system consists of three school districts-norths, south, central. The north district contains 25% of all students, the south district contains 40%, and the central district contains 35%.
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