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3 years ago

What two number adds to 10 but multiply to 16

2 answers:

8 0

Let 2 nos. be x & y

x + y = 10

x * y = 16

from 1st eqn, y = 10 - x

substituting in 2nd eqn

x * (10 - x) = 16

10x - x^2 = 16

x^2 - 10x + 16 = 0

(x - 8)(x - 2) = 0

x = 8 or x =2

y = 10 - 8 = 2 or 10 - 2 = 8

so the two numbers are 2 and 8

yan [13]3 years ago

6 0

8 and 2 because 2+8=10 and 2 times 8 =16

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3 years ago

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3 years ago

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3 years ago

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Answer:

The standard deviation of the weight, σ, is approximately 4.73 kg

Step-by-step explanation:

The weights of the six puppies are;

$x_i$ = 1, 2, 7, 7, 10, and 15

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Therefore, we have;

The mean = μ = ∑x/n = (1 + 2 + 7 + 7 + 10 + 15)/6 = 7

The standard deviation, σ, is given as follows;

$\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{n}}$

By substituting, we have;

$\sigma =\sqrt{\dfrac{ \left (1-7 \right )^{2} + \left (2-7 \right )^{2} + \left (7-7 \right )^{2} + \left (7-7 \right )^{2} + \left (10-7 \right )^{2} + \left (15-7 \right )^{2} }{6}}$

Simplifying gives;

$\sigma =\sqrt{\dfrac{ \left (-6 \right )^{2} + \left (-5 \right )^{2} + \left (0 \right )^{2} + \left (0 \right )^{2} + \left (3 \right )^{2} + \left (8 \right )^{2} }{6}} =\sqrt{\dfrac{ 36 + 25 + 0 +0+ 9 + 64 }{6}}$

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The standard deviation of the weight, σ ≈ 4.73 kg to two decimal places.

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3 years ago

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