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3 years ago

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Lines m and p are perpendicular. if the slope of line m is -3 what is the slope of line p

1 answer:

ivann1987 [24]3 years ago

4 0

For two lines to be perpendicular, their slopes must be negative reciprocals of one another, mathematically:

m1*m2=-1, in this case our reference line has a slope of -3 so:

-3m=-1 divide both sides by -3

m=-1/-3

m=1/3

So the perpendicular line will have a slope of 1/3

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If the mean of the data set is 35 apples find the number of apples on the Granny Smith tree

alisha [4.7K]

Answer:

$N=\frac{\sum x_{i} }{35}$

Step-by-step explanation:

Given

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Let's call $N$ the number of apples.

The means is defined as the quotient between the sum of all elements and the total number.

Mathematically, it would be defined as

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But, we know that the mean is equal to 35.

$35=\frac{\sum x_{i} }{N}$

Then, we solve for $N$

$N=\frac{\sum x_{i} }{35}$

As you can see, the total number of apples depends on the sum of all elements of the data set.

For example, if the sum of all elements is 700, the total number of apples would be

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Therefore, the expression that represents the total number of apples is

$N=\frac{\sum x_{i} }{35}$

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