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Questions in mathematics

[Done] Convert 0.0375 to a fraction in its simplest form.

[Done] Find the equations to the tangent and normal at the ends of the latus rectum of the parabola $y^2=12 x$

[Done] Find the sum. $\left[\begin{array}{cc} -3 & 0 \\ 5 & -7 \end{array}\right]+\left[\begin{array}{ll} -4 & 2 \\ -1 & 8 \end{array}\right]$

[Done] Simplify: $\sqrt{24 y^{11}}$

[Done] Measures of central tendency can actually be considerably misleading at times because A. it is possible for two very different distributions to have similar standard deviations B. it is possible for two very different distributions to have similar means C. the variation ratio is not equal to the sum of the squared deviations of the distribution under analysis D. all of these

[Done] Which of the following terms, when added to the given polynomial, will change the end behavior? [tex]y=-2 x^7+5 x^6-24[/tex] A. [tex]-x^8[/tex] B. [tex]-3 x^5[/tex] C. [tex]5 x^7[/tex] D. 1,000 E. -300

[Done] The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. | x | 0 | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---|---| | P(x) | 0.1672 | 0.3329 | 0.2881 | 0.1488 | 0.0376 | 0.0254 | The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated? Click the icon to view the data tables. Compute the theoretical mean of the random variable X for the given probability distribution. [tex]\mu_x=1.633 \text { hits }[/tex] (Round to three decimal places as needed.) Compute the theoretical standard deviation of the random variable X for the given probability distribution. [tex]\sigma_x=1.181 \text { hits }[/tex] (Round to three decimal places as needed.) Approximate the mean of the random variable X based on the simulation for 25 games. [tex]\bar{x} \approx 1.320^7 \text { hits }[/tex] (Round to three decimal places as needed.) Approximate the standard deviation of the random variable X based on the simulation for 25 games. 58 [$\square$] hits (Round to three decimal places as needed.) Data Tables Table of the numbers of hits for 25 games | 2 | 4 | 1 | 0 | 1 | |---|---|---|---|---| | 1 | 2 | 0 | 2 | 2 | | 1 | 1 | 0 | 1 | 1 | | 0 | 2 | 1 | 3 | 0 | | 0 | 4 | 2 | 0 | 2 | Table of the numbers of hits for 50 games | 2 | 4 | 1 | 0 | 1 | 1 | 2 | 0 | 2 | 2 | |---|---|---|---|---|---|---|---|---|---| | 1 | 1 | 0 | 1 | 1 | 0 | 2 | 1 | 3 | 0 | | 0 | 4 | 2 | 0 | 2 | 0 | 0 | 1 | 0 | 2 | | 3 | 2 | 3 | 4 | 1 | 3 | 2 | 3 | 1 | 2 | | 0 | 3 | 3 | 3 | 4 | 1 | 1 | 3 | 1 | 2 |

[Done] Mario spent a total of $87.33 last week but did not keep a perfect record of where his money went. Fortunately, Mario does have all but one of his receipts. He enters all of the information he has into his expense spreadsheet as shown below. | | A | B | | :------ | :------------ | :------- | | 1 | Transaction | Amount | | 2 | Oil change | $18.95 | | 3 | Gas in car | $20.50 | | 4 | Lunch out | $12.68 | | 5 | Golfing | | | 6 | Total Spent | $87.33 | How much did Mario spend on golfing? a. $35.20 b. $45.20 c. $47.88 d. $143.96

[Done] A line intersects the points $(8,2)$ and $(12,-10)$. $m=-3$ Write the equation of this line in point-slope form using the point $(8,2)$. y-[?]=\square(x-\square)

[Done] It costs $3.20 to purchase 8 yards of lace.