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Questions in Grade College

[Done] A cross between white and yellow summer squash gave progeny of the following counts: | Color | White | Yellow | Green | | ----------------- | ----- | ------ | ----- | | Number of progeny | 155 | 40 | 10 | A researcher wants to test if these data are consistent with the 12:3:1 ratio predicted by a certain genetic model. Which one is the correct R code to carry out the chi-square test? A. `x <- c(155,40,10)` `chisq.test(x, p=c(12 / 16, 3 / 16, 1 / 16))` B. `x <- c(155,40,10)` `chisq.test(x,p=c(12,3,1))` C. `x <- c(153.75,38.4375,12.8125)` `chisq.test(x,p=c(12/16,3/16,1/16))` D. `x <- c(155,40,10)` `chisq.test(x, p=c(0.75,0.28,0.6))`

[Done] Differentiate. [tex]f(x)=x^6 \ln 7 x[/tex] [tex]f^{\prime}(x)=[/tex] (Use parentheses to clearly denote the argument of each function.)

[Done] A two-word expression in which the word order is fixed, such as "pros and cons," is known as a(n) A. gender-neutral pronoun. B. unmarked word. C. binomial pair. D. generic word person.

[Done] Solve the equation on the interval [tex]$0 \leq \theta\ \textless \ 2 \pi$[/tex]. [tex]$4 \sin ^2 \theta-1=0$[/tex] What are the solutions in the interval [tex]$0 \leq \theta\ \textless \ 2 \pi$[/tex]? A. The solution set is { }. (Simplify your answer. Type an exact answer, using [tex]$\pi$[/tex] as needed. expression. Use a comma to separate answers as needed.) B. There is no solution.

[Done] Select the correct answer. Julissa is printing out copies for a work training. It takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. She needs to print no fewer than 8 copies within 25 minutes. Which system of inequalities represents the number of color copies, [tex]$x$[/tex], and grayscale copies, [tex]$y$[/tex], that Julissa can print to meet her goal? A. [tex]$2 x+4 y \leq 25$[/tex] [tex]$x+y \geq 8$[/tex] B. [tex]$4 x+2 y \geq 25$[/tex] [tex]$x+y \geq 8$[/tex] C. [tex]$4 x+2 y \leq 25$[/tex] [tex]$x+y \leq 8$[/tex] D. [tex]$4 x+2 y \leq 25$[/tex] [tex]$x+y \geq 8$[/tex]

[Done] Which point is a solution to the linear inequality [tex]y\ \textless \ -\frac{1}{2} x[/tex] +2 ? A. (2,3) B. (2,1) C. (3,-2) D. (-1,3)

[Done] The circles $x^2+y^2=9$ and $x^2+y^2-12 y+27=0$ touch each other then the equation of the common tangent is: a) $x-3 y+1=0$ b) $y=3$ c) $x+y=2$ d) $x=4$

[Done] The North Carolina Regulators were a movement that A. All of the above B. Closed courthouses C. Refused to pay taxes D. Organized an army to defend against the colonial government

[Done] Multiply. $\left(2 x^2+4 x-3\right)\left(x^2-2 x+5\right)$

[Done] Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Rolling a single "loaded" die 11 times, keeping track of the numbers that are rolled. A. Not binomial: there are too many trials. B. Procedure results in a binomial distribution. C. Not binomial: the trials are not independent. D. Not binomial: there are more than two outcomes for each trial.