21,4,9,19,25,16,27,30,33,15,31 Minimum: Quartile1: Quartile2: Quartile3: Maximum:
bazaltina [42]
Answer:
Minimum:4 Quartile 1:15.5 Quartile 2:21 Quartile 3:26 Maximum:33
Step-by-step explanation:
Order out the numbers least to greatest then find the middle number, the middle number is the median or quartile 2, then you find the middle of the first half, that number would be the 1st quartile, then find the number in the middle of the second half, that is your 3rd quartile, the min is the smallest number max is the largest.
Answer:
D. Quadrant IV
Step-by-step explanation:
Directed numbers are numbers with either a positive sign or a negative sign. These numbers can be located easily on the number line. Examples are: 2, 5, -1, -3, -7, 9 etc.
Given that: x > 0 and y < 0
For example, let us consider specific directed number for x and y. Let x = 5 and y = -2, so that; (5, -2). This point can be located in the fourth quadrant of a Cartesian plane.
Therefore considering a Cartesian plane, the quadrant in which (x, y) could be located is: Quadrant IV.
Answer:
x=11
Step-by-step explanation:
You first subtract 7 from both sides in which you get 15.
![(x - 6) \times 3 = 15](https://tex.z-dn.net/?f=%28x%20-%206%29%20%5Ctimes%203%20%3D%2015)
you then divide by 3 on both sides and you get 5.
![(x - 6) = 5](https://tex.z-dn.net/?f=%28x%20-%206%29%20%3D%205)
you can then add 6 on to 5 and get
![x = 11](https://tex.z-dn.net/?f=x%20%3D%2011)
hope this helps ^.^
Answer:
To find probability, divide the number of times an event happens by the number of trials.
Answer: see below
<u>Step-by-step explanation:</u>
![sin\ \theta=\dfrac{y}{r}=\dfrac{84}{85}\qquad \qquad \text{Quadrant I implies both x and y are positive}\\\\\\\\\text{Use Pythagorean Theorem to find x:}\\x^2+\ y^2=r^2\\x^2+84^2=85^2\\x^2\qquad =85^2-84^2\\x^2\qquad =169\\.\qquad x =13\\](https://tex.z-dn.net/?f=sin%5C%20%5Ctheta%3D%5Cdfrac%7By%7D%7Br%7D%3D%5Cdfrac%7B84%7D%7B85%7D%5Cqquad%20%5Cqquad%20%5Ctext%7BQuadrant%20I%20implies%20both%20x%20and%20y%20are%20positive%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Ctext%7BUse%20Pythagorean%20Theorem%20to%20find%20x%3A%7D%5C%5Cx%5E2%2B%5C%20y%5E2%3Dr%5E2%5C%5Cx%5E2%2B84%5E2%3D85%5E2%5C%5Cx%5E2%5Cqquad%20%3D85%5E2-84%5E2%5C%5Cx%5E2%5Cqquad%20%3D169%5C%5C.%5Cqquad%20x%20%3D13%5C%5C)
Input x = 13, y = 84, r = 85 into the trig functions:
![\sin\ \theta=\dfrac{y}{r}=\large\boxed{\dfrac{84}{85}}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\large\boxed{\dfrac{85}{84}}\\\\\\\\\cos\ \theta=\dfrac{x}{r}=\large\boxed{\dfrac{13}{85}}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\large\boxed{\dfrac{85}{13}}\\\\\\\\\tan\ \theta=\dfrac{y}{x}=\large\boxed{\dfrac{84}{13}}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\large\boxed{\dfrac{13}{84}}](https://tex.z-dn.net/?f=%5Csin%5C%20%5Ctheta%3D%5Cdfrac%7By%7D%7Br%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B84%7D%7B85%7D%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Ccsc%20%5Ctheta%3D%5Cdfrac%7Br%7D%7By%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B85%7D%7B84%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Ccos%5C%20%5Ctheta%3D%5Cdfrac%7Bx%7D%7Br%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B13%7D%7B85%7D%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Csec%20%5Ctheta%3D%5Cdfrac%7Br%7D%7Bx%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B85%7D%7B13%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Ctan%5C%20%5Ctheta%3D%5Cdfrac%7By%7D%7Bx%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B84%7D%7B13%7D%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Ccot%20%5Ctheta%3D%5Cdfrac%7Bx%7D%7By%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B13%7D%7B84%7D%7D)