Only about 75% of all donated human blood can be

Ответ:

softball2895

08.01.2022

a) 0.02739

b) 0.00034

Step-by-step explanation:

If it is believed that at least 6 of the 10 pints are usable, then the 75% of “good” pints that can be used from this sample reduces to 60% of 75% = 0.6*0.75 = 0.45

Now for this sample we use a binomial distribution with probability of “success” (finding a “good” pint) of 0.45% and

the probability of getting exactly r good pints out of 10 is

$\bf \binom{10}{r}0.45^r(1-0.45)^{10-r}=\binom{10}{r}0.45^r0.55^{10-r}$

where

$\bf \binom{10}{r}$ are combinations of 10 taken r at a time.

The probability that at least 8 of the pints are usable is P(r>7)

$\bf \binom{10}{8}0.45^80.55^2+\binom{10}{9}0.45^90.55^1+\binom{10}{10}0.45^{10}0.55^0=\\0.02289+0.00416+0.00034=0.02739$

Here we want P(r=10)

$\bf \binom{10}{10}0.45^{10}0.55^0=0.00034$

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Ответ:

sarahelisabeth444

18.03.2022

Mathematics

Let δabc be a right triangle with legs ab=8, bc=6 and ∠bca=x, ∠bac=y. by pythagorean theorem $ac^2=ab^2+bc^2=8^2+6^2=100$ , then ac=10. $\cos x= \frac{bc}{ac}= \frac{6}{10} =0.6$ $\sin x= \frac{ab}{ac}= \frac{8}{10}=0.8$ $\cos y= \frac{bc}{ac} = \frac{6}{10} =0.6$ $\sin y= \frac{ab}{ac}= \frac{8}{10} =0.8$ as you can see $\sin x=\cos y$ and $\cos x=\sin y$ .

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