the mean of 10 numbers is 1445. if 1500 is also added to this data what will be there new mean of 11 numbers

1 answer:

7 0

Let the sum of the 10 numbers be x, then
x/ 10 = 1445
x = 1445 x 10 = 14450

New mean = (14450 + 1500)/11 = 15950/11 = 1450

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The supplement of an angle is 50 less than 3 times its complement, find the measure of the angle

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$20^{\circ}$ .

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Two angles are supplements of one another if their sum is $180^{\circ}$ .

Two angles are complements of one another if their sum is $90^{\circ}$ .

Let $x^{\circ}$ be the measure of the angle in question.

The supplement of this angle would be $(180 - x)^{\circ}$ .

The complement of this angle would be $(90 - x)^{\circ}$ .

According to the question:

$(180 - x) + 50 = 3\, (90 - x)$ .

Solve this equation for $x$ :

$x = 20$ .

Thus, this angle would measure should $20^{\circ}$ .

The supplement of this angle would measure $(180 - 20)^{\circ} = 160^{\circ}$ . The complement of this angle would measure $(90 - 20)^{\circ} = 70^{\circ}$ .

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