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Mathematics

1 answer:

crimeas [40]3 years ago

7 0

Step-by-step explanation:

i) $\overline{AB} = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}$

$\:\:\:\:\:\:\:=\sqrt{(2)^2 + (12)^2} = 12.3$

ii) $m = \dfrac{y_A - y_B}{x_A - x_B} = \dfrac{-12}{2} = -6$

iii) $(\overline{x},\:\overline{y}) = \left(\dfrac{x_A + x_B}{2},\:\dfrac{y_A + y_B}{2}\right)$

$\:\:\:\:\:\:\:=(3,\:-2)$

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4 years ago

Let x denote the courtship time for a randomly selected female–male pair of mating scorpion flies (time from the beginning of in

gavmur [86]

Complete Question:

a) Is it plausible that X is normally distributed?

b) For a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 100 min and 125 min?

Answer:

a) It is plausible that X is normally distributed

b) probability that the sample mean courtship time is between 100 min and 125 min is 0.5269

Step-by-step explanation:

a)X denotes the courtship time for the scorpion flies which indicates that is a real - valued random variable, and since normal distribution is a continuous probability distribution for a real valued random variable, it is plausible that X is normally distributed.

b) Probability that the sample mean courtship time is between 100 min and 125 min

$\mu = 120\\n = 50$