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erica [24]
3 years ago
12

A hiker attempting to cross a wilderness area has two GPS systems of intermittent reliability because of the areas remoteness .f

rom past experience he estimates that at any moment the probability that system I will work is 0.85, that system II will work is 0.90 , and both will work is 0.80 . the probability that at any moment at least one of the systems will work is about___________.A. 0.87
B. 0.92
C. 0.75
D. 0.95
E. 0.88
Mathematics
1 answer:
ale4655 [162]3 years ago
5 0

Answer:

D. 0.95

Step-by-step explanation:

The probability that at any moment, at least one of the systems will work is determined by the probability that system I works, added to the probability that system II works, and subtracted by the probability that both systems work:

P(S_I\cup S_{II}) =P(S_I)+P(S_{II})-P(S_I\cap S_{II})\\P(S_I\cup S_{II}) =0.85+0.90-0.80\\P(S_I\cup S_{II}) =0.95

The probability that at any moment at least one of the systems will work is about 0.95.

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WHUR Radio uses 1/5 of its of its 10 hours of daytime broadcast for commercial and 1/2 for music. How much is left for news?
Nataly [62]

Answer: 3 hours

Step-by-step explanation:

From the question, we are informed that WHUR Radio uses 1/5 of its of its 10 hours of daytime broadcast for commercial and 1/2 for music.

Hours used for commercial:

= 1/5 × 10

= 2 hours

Hours used for music:

= 1/2 × 10

= 5 hours

Hours left for news will be:

= 10 hours - 2 hours - 5 hours

= 3 hours

8 0
3 years ago
Name the property of equality that justifies the statement: if p=q, then q=p
Ostrovityanka [42]

Answer : - Symmetric property of equality tells that for all real numbers p and q, if p=q then q=p which means if we interchange the sides of an equation then the equation is still a true statement .

For example :-

1. We know that 4+5 =9 then by symmetric property we can also say that 9=4+5.

2. If 5x+5=7 then by symmetric property of inequality 7=5x+5.

4 0
3 years ago
Read 2 more answers
Can someone help me pls it due In the next two hrs
Lubov Fominskaja [6]

Answer:

1. More magnets are longer than 2 1/2

2. 10 magnets measure in whole numbers and 5 magnets between 2 whole numbers

3. Because the shortest magnet is 1 inch and the longest magnet is 4 inches.

Step-by-step explanation:

1.  There are 7 magnets that are longer than 7 1/2 and only 6 magnets that are shorter than 2 1/2. (The 2 magnets that are exactly 2 1/2 are neither longer nor shorter therefore they do not apply to the question.)

5 0
3 years ago
Help A.S.A.P please thank you and please :D
Lina20 [59]

Answer:

Emma was right to say that both packages are close to 2 pounds.

If we round-off the weights of both to the nearest whole number we would get 2 pounds on both. We look at the the difference of both from 2 pounds we get the following:

2.36 - 2.0 = 0.36

2.09 - 2.0 = 0.09

The smaller the difference the closer it is to the base value. So we can say that the closest one is 2.0 pounds is the package that weighs 2.09 pounds.

8 0
3 years ago
The planning committee at school has 10 members. Exactly four of these members are teachers. A four-person subcommittee with at
Kipish [7]

Answer:

865

Step-by-step explanation: The set of possibilities are:

Subcommittee  is of 4 people according to:

4  teachers    0 other member       total possibilities    1

3  teachers     1     teachers  C₄,₃  = 4   and  other member  6    6*4   =  24

2 teachers     2      C₄,₂  =  4!/2!  = 12    2 (om)    and  C₆,₂   =  6!/4!  = 30

30*12  = 360

1  teacher        3     (om)               4         and  C₆,₃ = 6!/3!   =  120

120*4  = 480

Total ways of committee    1  + 24  + 360 +  480  = 865

4 0
3 years ago
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