Mathematics: An object accelerates 7.2 m/s² when a force of 7 N is applied to it. What is its mass?

(a) 0.4242(b) 0.0707Step-by-step explanation:The total number of ways of selecting 8 herbs from 12 is(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is thenNote that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included. The probability = (b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the...

An object accelerates 7.2 m/s² when a force of

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josie17340

15.04.2021

Mathematics

(a) 0.4242

(b) 0.0707

Step-by-step explanation:

The total number of ways of selecting 8 herbs from 12 is

$\binom{12}{8}=495$

(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then

$\binom{10}{6}= 210$

Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.

The probability = $\dfrac{210}{495}=0.4242$

(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then

$\binom{7}{3}= 35$

This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.

The probability = $\dfrac{35}{495}=0.0707$

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An object accelerates 7.2 m/s² when a force of 7 N is applied to it. What is its mass?

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