Questions in mathematics

Questions in mathematics

[Answered] The quadratic function $y=-x^2+10 x-8$ models the height of a trestle on a bridge. The $x$-axis represents ground level. To find where the section of the bridge meets ground level, solve $0=-x^2+10 x-8$. Where does this section of the bridge meet ground level? Choose an equation that would be used to solve $0=-x^2+10 x-8$. $(x-5)^2=17$ $(x-10)^2=25$ $(x+25)^2=-8$ Solve the equation to find where the trestle meets ground level. Enter your answers from least to greatest and round to the nearest tenth. The trestle meets the ground at $\square$ units and $\square$ units.

[Answered] Does the element $x=1.5$ belong to the set {x |-1 \leq x \leq 12, x \in I}? True False

[Answered] Calcula la fracción generatriz de los siguientes decimales [tex]$1 ; 0 s ; 1, s ; 0,15$[/tex]

[Answered] A data set is shown in the table. The line of best fit modeling the data is [tex]$y=2.69 x-7.95$[/tex]. What is the residual value when [tex]$x=3$[/tex]? A. -0.88 B. -0.12 C. 0.12 D. 0.88

[Answered] Use the drawing tools to form the correct answer on the number line. Graph the solution set to this inequality: [tex]$-2 x+9 \leq 5 x-12$[/tex]

[Answered] Simplify $\frac{6 x y z}{2 x y-y} \div \frac{2 x^2-7 x+3}{3 x z-9 z}$. A. $\frac{18 x z^2}{4 x^2-4 x+1}$ B. $\frac{9 z^2}{4 x^2-1}$ C. $\frac{4 y}{3 x^2-7}$ D. $\frac{1}{2 x}$

[Answered] In an effort to reduce the number of hospital-acquired conditions (such as infection resulting from the hospital stay), Medicare officials score hospitals on a 10-point scale with a lower score representing a better patient track record. The federal government reduces Medicare payments to those hospitals with the worst scores. The following data represent the scores received by a set of Illinois hospitals. Complete parts (a) through (d). Click the icon to view the hospital scores. (a) Determine the probability that a randomly selected hospital in Illinois has a score between 5 and 5.9. [tex]P (5-5.9)=0.182[/tex] (Round to three decimal places as needed.) Hospital Scores (b) Determine the probability that a randomly selected hospital in Illinois has a score that is not between 5 [tex]P ( not 5-5.9 )=[/tex] (Round to three decimal places as needed.) | Score | Frequency | | :------ | :-------- | | 1-1.9 | 3 | | 2-2.9 | 12 | | 3-3.9 | 16 | | 4-4.9 | 23 | | 5-5.9 | 22 | | 6-6.9 | 20 | | 7-7.9 | 17 | | 8-8.9 | 4 | | 9-10 | 4 | | Total | 121 |

[Answered] Let [tex]{a_n}_{n=1}^{\infty}[/tex] be a sequence such that [tex]a_n = \frac{1}{2}a_{n-1}[/tex], and let the sixth term of the sequence be [tex]\frac{1}{96}[/tex]. Then what will be the tenth term of the sequence?

[Answered] Let X be a continuous random variable with PDF [tex]f_x(x) = \begin{cases} kx^2, & 0 \le x \le 1 \\ 0, & \text{otherwise.} \end{cases}[/tex] Find the median of X. Enter the answer correct to four decimal places. Hint: The median m is the value such that P(X \le m) = P(X > m) = 0.5

[Answered] Create two examples of real-life situations representing functions. One should illustrate a piecewise function.