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Daniel [21]
3 years ago
11

What is the solution to the quadratic equation 8m^2+7m-15=-7 ?

Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0
Make equal to zero
add7 both sides
8m^2+7m-8=0
quadratic fomrula

if you have
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}

8m^2+7m-8=0
a=8
b=7
c=-8

x=\frac{-7+/- \sqrt{7^{2}-4(8)(-8)} }{2(8)}
x=\frac{-7+/- \sqrt{49+256} }{16}
x=\frac{-7+/- \sqrt{305} }{16}

x=\frac{-7+ \sqrt{305} }{16} or x=\frac{-7- \sqrt{305} }{16}

aprox
x=-1.52902 or 0.654016


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The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

E(x) = \sum x* P(x)

So, we have:

E(x) = 1 * 0.3 + 2* 0.2 +3 * 0.2 + 4 * 0.1 + 5 * 0.2

This gives

E(x) = 2.7

Next, calculate E(x^2) using:

E(x^2) = \sum x^2* P(x)

So, we have:

E(x^2) = 1^2 * 0.3 + 2^2* 0.2 +3^2 * 0.2 + 4^2 * 0.1 + 5^2 * 0.2

E(x^2) = 9.5

The variance is then calculated as:

Var(x) = E(x^2) - (E(x))^2

So, we have:

Var(x) = 9.5 - 2.7^2

Var(x) = 2.21

Approximate

Var(x) = 2.2

Hence, the variance of the data is 2.2

Read more about variance at:

brainly.com/question/15858152

4 0
2 years ago
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