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stepladder [879]
3 years ago
7

The sum of 3 consecutive odd numbers is 51. What is the second number in this sequence?

Mathematics
1 answer:
tatiyna3 years ago
5 0
(2n +1) + (2n + 3) + (2n + 5) = 51
6n + 9 = 51
6n = 42
n = 7
numbers are 15 17 and 19

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Suppose I claim that the average monthly income of all students at college is at least $2000. Express H0 and H1 using mathematic
pishuonlain [190]

Answer:

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Step-by-step explanation:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

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The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?
Y_Kistochka [10]
The answer is:  [B]:  " x  + 3y + 10 = 0 " .
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Explanation:
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Note the equation for a line; in 'slope-intercept form':  "y = mx + b" ;
 
   in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
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So, given the information in this very question/problem:
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slope = m = (-1/3) ; 
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And we can write the equation of the line; in "slope-intercept form"; that is:
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  " y = mx + b " ;  as:
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   " y = (-1/3)x + (10/3) " ;
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Now, the problem asks for the equation of this line; in "general form";  or "standard format";  which is:
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   "Ax + By + C = 0 " ; 
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So; given: 
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 " y = (-1/3)x + (10/3) " ;
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  We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;

  →  3* { y = (-1/3)x + (10/3) } ;

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            -1x + 10 − 3y = 3y − 3y ;

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Note that is equation is in the "standard format" ;
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Step-by-step explanation:

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