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lions [1.4K]
3 years ago
15

Solve using area model. need help with question a

Mathematics
1 answer:
yan [13]3 years ago
4 0
Heyy I cant see it :( can u explain more ?
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The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, bu
Mariulka [41]

Answer:

Probability that detector B goes off is '0.615'

Step-by-step explanation:

Given that:

1) Probability that detector A goes off and detector B does not go off is 0.25.

2)Probability that detector A does not go off is 0.35.

3)Probability that detector A  goes off is (1-0.35)=0.65

Assuming that

Probability that detector B goes off is 'p' Hence the probability that detector B does not goes off  is (1-p)

Thus the probability that detector A goes off and detector B does not go off is  product of the individual probabilities

P(E)=0.65\times (1-p)\\\\0.65\times (1-p)=0.25\\\\0.65-0.65p=0.25\\\\0.65-0.25=0.65p\\\\\therefore p=\frac{0.40}{0.65}=0.615

Probability that detector B goes off is '0.615'

5 0
3 years ago
1) What is 15\50 in lowest terms
zaharov [31]
15/50 simplified would be 3/10 (divided by 5 on each side)
5/9 x 3/10 would be 15/90 or 1/6
1/4 divided by 3/5 would be 5/12, because when you divide fractions you flip the second fraction Ex: 1/4 divided by 3/5 would be 1/4 x 5/3
The prime factorization of 120 would be 2 x 2 x 2 x 3 x 5 or 2^3 x 3 x 5
3 0
4 years ago
∠DGC and ∠CGB are □ angles.Adjacent<br> Adjacent<br> Complementary<br> Supplementary<br> Vertical
Andrews [41]
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5 0
3 years ago
Read 2 more answers
Please answer the question to the best of your ability :)
Korolek [52]

Answer:

7x^2y(2x-3y)

Step-by-step explanation:

Factor 7x^2y out of 14x^3y-21x^2y^2

3 0
4 years ago
The area of a rectangular ice rink is 900 sq. yards. If the length of the rink is 100 yards what is the width of the rink?
soldi70 [24.7K]
Easy! Multiply 100 by 2 and get 200. Then subtract 900 by 2, and get 700. Then you divide 700 by 2 (because there are only 2 sides left!) and BAMMMMMM there’s your answer
3 0
3 years ago
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