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3 years ago

The mean of 100 numerical observation is 37.53 what is the value of the sum of all 100 numbers

Mathematics

1 answer:

MrMuchimi3 years ago

6 0

$mean=\frac{sum of numbers}{number of numbers}$

sum of numbers = mean x number of numbers

sum = 37.53 x 100 = 3753

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Rearrange the formula to make a the subject

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

p = (3n + a)/(n + a)

Cross multiply

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Dividing by p - 1

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3 years ago

The height of a triangle is 5 cm shorter than its base. If the area of the triangle is 25 cm2, find the height of the triangle.

Olin [163]

Answer:

$h = 5\ cm$

Step-by-step explanation:

Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:

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$h = B-5$ .

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$A = 0.5Bh$

For this triangle we know that $A = 25\ cm^2$ and $h = B-5$ . We substitute these values in the equation and solve for B.

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Now we use the quadratic formula to solve the equation.

For an equation of the form $ax ^ 2 + bx + c = 0$ the quadratic formula is:

$B=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

In this case note that: $a=0.5,\ \ b=-\frac{5}{2}\ \ c=-25$

Then:

$B=\frac{-(-\frac{5}{2})\±\sqrt{(-\frac{5}{2})^2-4(0.5)(-25)}}{2(0.5)}$

$B=\frac{\frac{5}{2}\±\sqrt{\frac{25}{4}+50}}{1}$

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The solutions are:

$B_1=\frac{5}{2}+\frac{15}{2}=10$

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For this problem we take the positive solution.

$B=10\ cm$

Now we substitute the value of B in the equation to find the height h

$h = 10-5$

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3 years ago

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Answer:

-3x-y=5

y-2z=7

x-4y+z=-9

Step-by-step explanation:

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3 years ago

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Answer:

The second equation is correct.

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We can systematically eliminate the others.

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3 years ago

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