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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?
If you are using the method of least squares for fitting trends in an annual time series containing 25 consecutive yearly values.
Previous studies have indicated the standard deviation of annual earnings for college students is $850. How large a sample would need to be taken to estimate the mean for college students' annual earnings to within $200 with 99% confidence?
Research has shown that the people often see a correlation between two events when one does not really exist. Why do you think this happens?
The formula h(s) = -32s2 + 400s + 8 models a rocket's height, h, in feet, s seconds after launching. Find the height, h(s), five seconds after launch.
The impact of campaign film on attitudes toward a political candidate was investigated. Prior to showing the film, the attitudes of 15 people toward the candidate were assessed using a political likability scale.
In which of the following situations is bootstrapping (and other resampling methods) often used and Which of the following is a valid description of the bootstrapping method.
Car Emissions: Listed below are measured amounts of greenhouse gas emissions from cars in three different categories. The measurements are in tons per year, expressed as CO2 equivalents.
At the .05 significance level, can we conclude that the guideline is still reasonable?
A medical researcher estimates that no more than 55% of U.S. adults eat breakfast every day. In a random sample of 250 U.S. adults, 56.4% say they eat breakfast every day.
Pollsters attempt to find out whether or not person is a "likely voter" before they count their opinion in poll. If we suppose 40% of registered voters will really vote.
A sample of 81 account balances of a credit company showed an average balance of $1,200 with a sample standard deviation of $126. You want to determine if the mean of all account balances is significantly different from $1,250. Use a .05 level of ..
What is the probability that the sample will have between 50% and 60% of the identifications correct? What is the probability that the sample percentage of correct identifications is greater than 65%?
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