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dem82 [27]
3 years ago
9

According to a recent article the average number of babies born with significant hearing loss (deafness) is approximately two pe

r 1,000 babies in a healthy baby nursery. The number climbs to an average of 30 per 1,000 babies in an intensive care nursery. Suppose that 1,000 babies from healthy baby nurseries were randomly surveyed. Find the probability that exactly two babies were born deaf.
Mathematics
1 answer:
Leviafan [203]3 years ago
5 0

Answer:

0.27

Step-by-step explanation:

The probability P that exactly two babies were born deaf can be gotten by the binomial distribution as

P = {n\choose k} \, p^k \,(1-p)^{n-k}


where n is the sample size (the number of babies  randomly surveyed), k is the number of success, i. e., the baby is deaf; and p is the probability of selecting a deaf baby = 2/1000 = 0.002. Therefore

P = {1000\choose 2}\, 0.002^2\, (1-0.002)^{1000-2}


P = 0.27

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pishuonlain [190]
Caves are formed by the dissolution of limestone. Rainwater picks up carbon dioxide from the air and as it percolates through the soil, which turns into a weak acid. This slowly dissolves out the limestone along the joints, bedding planes and fractures, some of which become enlarged enough to form caves.
4 0
3 years ago
Help!! Which of the following best represents Z1 • Z2 select all that apply
AURORKA [14]

z_1=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)

z_2=\sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)

\cos \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}

\sin \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}

\cos \left(\frac{3\pi }{4}\right)=-\frac{\sqrt{2}}{2}

\sin \left(\frac{3\pi }{4}\right)=\frac{\sqrt{2}}{2}\\

Z_1*Z_2=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)\cdot \sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)

=\sqrt{3}\left(\frac{\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)\cdot \sqrt{6}\left(\frac{-\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)

On simplifying, we get

Z_1* Z_2 =-3\sqrt{2}

<h2>Therefore, correct option is  1st option.</h2>
3 0
3 years ago
Find the value of c that makes each trinomial a perfect square.<br> x^2-13x+c
vova2212 [387]

Answer:

169/4

Step-by-step explanation:

x² - 13x + c

x² -2(x)(13/2) +(13/2)²

(13/2)² = 169/4 or 42 ¼

8 0
3 years ago
How far is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s
Tomtit [17]
825 meters away
i think bit too sure
7 0
3 years ago
Find a value for y for which the expression (1-y)(3-y)(6-y) has each given value
erik [133]

\\ \tt\Rrightarrow (1-y)(3-y)(6-y)=-70

\\ \tt\Rrightarrow -y(1+1)(3+1)(6+1)=-70

\\ \tt\Rrightarrow y(2)(4)(7)=70

\\ \tt\Rrightarrow y(56)=70

\\ \tt\Rrightarrow y=\dfrac{70}{56}

\\ \tt\Rrightarrow y=\dfrac{5}{4}

#2

\\ \tt\Rrightarrow (1-y)(3-y)(6-y)=120

\\ \tt\Rrightarrow -y(1+1)(3+1)(6+1)=120

\\ \tt\Rrightarrow -y(2)(4)(7)=120

\\ \tt\Rrightarrow 56y=-120

\\ \tt\Rrightarrow y=\dfrac{-120}{56}

\\ \tt\Rrightarrow y=\dfrac{-15}{7}

7 0
2 years ago
Read 2 more answers
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