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Strike441 [17]
3 years ago
10

Need help on my niece work

Mathematics
1 answer:
il63 [147K]3 years ago
6 0

The first one is 100 because it is closer to 100 than to 200. The second one is 700 because 690 is 10 away from 700. And the third one is 100 because it is only 15 away from 100.

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Ests show that the first photo detector isacceptable with probability 3/5. When the first photo detector is acceptable, the seco
vredina [299]

Answer:

The probability that exactly one photo detector of a pair is acceptable is \frac{19}{25}.

Step-by-step explanation:

Let the A = first photo detector is acceptable and B = second photo detector is acceptable .

The information provided is:

P(A) = \frac{3}{5} \\P(B|A)=\frac{4}{5}\\ P(B|A^{c})=\frac{2}{5}

  • The law of total probability states that:

         P(X)=P(X|Y)P(Y)+P(X|Y^{c})P(Y^{c})\\

Using the law of total probability determine the probability of B as follows:

P(B)=P(B|A)P(A)+P(B|A^{c})P(A^{c})\\=(\frac{4}{5}\times\frac{3}{5}  )+(\frac{2}{5}(1- \frac{3}{5}))\\=\frac{12}{25}+\frac{4}{25}\\  =\frac{16}{25}

  • The addition rule of probability is:

        P(Y\cup X) = P(Y) + P(X) - P(Y\cap X)\\

Compute the probability that exactly one photo detector of a pair is acceptable using the addition rule of probability as follows:

P(A\cup B) = P(A) + P(B) - P(A\cap B)\\=P(A) + P(B) - P(B|A)P(A)\\=\frac{3}{5} +\frac{16}{25} -[\frac{4}{5}\times\frac{3}{5}]  \\=\frac{3}{5} +\frac{16}{25}-\frac{12}{25}\\=\frac{15+16-12}{25}\\= \frac{19}{25}

Thus, the probability that exactly one photo detector of a pair is acceptable is \frac{19}{25}.

3 0
4 years ago
2(4 - 2x + y) - 4(5 + x - y)
Montano1993 [528]

Answer:

−8x+6y−12

Step-by-step explanation:

Distribute:

=(2)(4)+(2)(−2x)+(2)(y)+(−4)(5)+(−4)(x)+(−4)(−y)

=8+−4x+2y+−20+−4x+4y

Combine Like Terms:

=8+−4x+2y+−20+−4x+4y

=(−4x+−4x)+(2y+4y)+(8+−20)

=−8x+6y+−12

3 0
2 years ago
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
yan [13]
<span>A(n) = 50 x (0.52)n-1; 13.52 cm

</span>
3 0
3 years ago
Solve for x<br> (X+1)(x+5)=(x+3)(x-1)
Roman55 [17]

Answer: x=−2

Step-by-step explanation:

5 0
3 years ago
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A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books.
babymother [125]

Answer:

Find the percent of the youths surveyed prefer reading printed books

We know that

38 youths like reading book preference

Total = Book Preference+Print Electronic

=35+38=73

Percentage=38/73 × 100%= 52%

4 0
3 years ago
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