First, you need to find the mean of all this set of numbers. You would add them all together and then divide by 6 which is 50.5.
Now you find the sample variance. Subtract each number from the mean.
<span>15.5, 13.5, 8.5, -6.5, -10.5, -19.5 </span>
After, you square each value and add them.
<span>240.25+182.25+72.25+42.25+110.25+380.2... </span>
<span>= 1027.5 </span>
Now divide by 5 (because it's a sample variance) and you get 205.5.
<span>1. You have 3 chances in 12 of picking a pencil ===> 3/12 = 1/4
2 You have 5 chances in 8 of picking a colored pencil ===> 5/8
3. The probability of doing both is the product of the two ===> 1/4 * 5/8 = 5/32 </span>
The normal form of a line is given by the equation x * cos theta + y * sin theta = p where theta is the angle of the normal line from the positive x-axis and p is the length of the normal line. Converting to normal line form, the equation must first be converted into standard form: 2x + 7y = 4. Then dividing the whole equation by sqrt(a^2 + b^2): sqrt(2^2 + 7^2) = sqrt(53). Hence, the equation becomes 2 / sqrt(53) * x + 7 / sqrt(53) * y = 4 / sqrt(53). Therefore, the length of the normal line is 4 / sqrt(53), and the angle is arctan(7/2) = 74.05 degrees.
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Answer: Can't answer
Step-by-step explanation: Need context
Answer:
C) 
Step-by-step explanation:
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