Answer:
1/3
Step-by-step explanation:
Range of data set: 12 - 6 = 6
Given that there is a uniform distribution:
P(6<x<7) = 1/6
P(7<x<8) = 1/6
P(8<x<9) = 1/6
P(9<x<10) = 1/6
P(10<x<11) = 1/6
P(11<x<12) = 1/6
where x is weight loss
Probability that weight loss is more than 10 pounds:
P(10<x<11) + P(11<x<12) = 1/6 + 1/6 = 1/3
Answer:
Line M would also have a slope of 2/3.
Step-by-step explanation:
When two line are parallel that means that they will never intersect.
In order for two lines to avoid intersection they would have to be at the same slope.
Since lines K and line M are parallel to each other they have to have the same slope.
Answer:
25.9 yd
Step-by-step explanation:
+
= ![c^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D)
+
= ![(31)^{2}](https://tex.z-dn.net/?f=%2831%29%5E%7B2%7D)
289 +
= 961
Subtract 289 on both sides
= 672
= ![\sqrt{672}](https://tex.z-dn.net/?f=%5Csqrt%7B672%7D)
nearest tenth
b = 25.9 yd
Answer:
![\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D%5Cdfrac%7B%5Cpi%7D%7B6%7D%5C%20%5Cvee%5C%20x%3D%5Cdfrac%7B5%5Cpi%7D%7B6%7D%5C%20%5Cvee%5C%20x%3D%5Cdfrac%7B7%5Cpi%7D%7B6%7D%5C%20%5Cvee%5C%20x%3D%5Cdfrac%7B11%5Cpi%7D%7B6%7D%7D)
Step-by-step explanation:
![12\cos^2x-9=0\qquad\text{add 9 to both sides}\\\\12\cos^2x=9\qquad\text{divide both sides by 12}\\\\\cos^2x=\dfrac{9}{12}\\\\\cos^2x=\dfrac{9:3}{12:3}\\\\\cos^2x=\dfrac{3}{4}\to\cos x=\pm\sqrt{\dfrac{3}{4}}\\\\\cos x=\pm\dfrac{\sqrt3}{2}\\\\\text{Look at the picture}\\\\x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}](https://tex.z-dn.net/?f=12%5Ccos%5E2x-9%3D0%5Cqquad%5Ctext%7Badd%209%20to%20both%20sides%7D%5C%5C%5C%5C12%5Ccos%5E2x%3D9%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%2012%7D%5C%5C%5C%5C%5Ccos%5E2x%3D%5Cdfrac%7B9%7D%7B12%7D%5C%5C%5C%5C%5Ccos%5E2x%3D%5Cdfrac%7B9%3A3%7D%7B12%3A3%7D%5C%5C%5C%5C%5Ccos%5E2x%3D%5Cdfrac%7B3%7D%7B4%7D%5Cto%5Ccos%20x%3D%5Cpm%5Csqrt%7B%5Cdfrac%7B3%7D%7B4%7D%7D%5C%5C%5C%5C%5Ccos%20x%3D%5Cpm%5Cdfrac%7B%5Csqrt3%7D%7B2%7D%5C%5C%5C%5C%5Ctext%7BLook%20at%20the%20picture%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B%5Cpi%7D%7B6%7D%5C%20%5Cvee%5C%20x%3D%5Cdfrac%7B5%5Cpi%7D%7B6%7D%5C%20%5Cvee%5C%20x%3D%5Cdfrac%7B7%5Cpi%7D%7B6%7D%5C%20%5Cvee%5C%20x%3D%5Cdfrac%7B11%5Cpi%7D%7B6%7D)