A six-sided number cube numbered 1 through 6 is rolled 270 times. The number 3

Mathematics

1 answer:

Komok [63]2 years ago

8 0

Answer:

The theoretical probability of rolling a 3 is 1/6 and the experimental probability of rolling a 3 is 135/22

Step-by-step explanation:

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Answer:

Step-by-step explanation:

$(3, -4)=(x,y)\\y=3x+2\\\\m_1 =3\\In\: perpendicular\: line ;\\\\m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{3} \\m_2 = -1/3\\\\Substitute \:new\:values\:into\: ;y=mx+b\\\\-4 = -\frac{1}{3} (3) + b\\-4 = -1 +b\\-4+1 =b\\-3 =b\\Substitute \:new\:values\:into\: ;y=mx+b\\y =-\frac{1}{3}x -3$

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A fire ranger stands atop an observation tower 70 feet above the ground and sees a fire in the distance. She measures the angle

mrs_skeptik [129]

Answer:

$103.78\:\mathrm{ft}$

Step-by-step explanation:

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Therefore, we have:

$\tan 34^{\circ}=\frac{70}{x}$ , where $x$ is the distance between the base of the tower and the fire.