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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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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
nekit [7.7K]

Answer:

1 - 60

2 - 120

3 - 60

4 - 120

5 - 60

6 - 120

7 - 60

8 - 120

Step-by-step explanation:

Via supplementary angles, you can conclude that angle 5 is 60. Because of vertical angles, angle 8 is 120 and angle 7 is 60. Because of alternate exterior angles, angle 1 is congruent to angle 7 and angle 2 is congruent to angle 8, meaning angle 1 is 60 and angle 2 is 120. Because of vertical angles, angle 3 is 60 and angle 4 is 120.

7 0
2 years ago
When analyzing the list of nouns to determine whether to exclude a particular noun as an important "thing," which of the followi
anyanavicka [17]
<h2>Answer:</h2>

<em><u>(a) Is it an output from the system? </u></em>

<em><u>(d) Is it a synonym of an existing thing?</u></em>

<h2>Step-by-step explanation:</h2>

In the question,

We have a list of nouns and we need to determine whether a particular noun should be excluded by identifying particular noun as an important 'thing'.

So, to identify it as a noun we can ask two questions which will distinguish between the same.

<u>(a) Is it an output from the system? </u>

It is one of the questions that can be asked because if the thing is an output from a system it will be definitely existing in real therefore, we can identify from this.

<u>(d) Is it a synonym of an existing thing?</u>

By asking this we can also confirm whether a particular thing is a noun or not because if the thing will be a synonym for an already existing material, it definitely will be a Noun.

<em><u>Therefore, the correct option is (a) and (d).</u></em>

8 0
3 years ago
3. Name three colinear points?
Alex787 [66]

Answer:

ABC

Step-by-step explanation:

They are on the same line.

4 0
3 years ago
John kept track of how many baskets were made in a basketball game. After 4 minutes, 5 baskets were made.
ivann1987 [24]

1 basket is between 9 and 10 minutes .

<u>Step-by-step explanation:</u>

Here we have , John kept track of how many baskets were made in a basketball game. After 4 minutes, 5 baskets were made.  We need to find How many baskets were made between 9 and 10 minutes . Let's find out:

In order to calculate baskets between 9 min and 10 min we will find baskets at 10 min and at at 9 min , will subtract than !

Baskets at 10 min :

At 4 min we have 5 baskets so , in 10 min

⇒ (10)\frac{5}{4}

⇒ 1.25(10)

⇒ 12.5

Baskets at 9 min :

At 4 min we have 5 baskets so , in 9 min

⇒ (9)\frac{5}{4}

⇒ 1.25(9)

⇒ 11.25

So , Baskets between 10 & 9 min is 12.5-11.25=1.25 , which on rounding off gives 1 . Therefore , 1 basket is between 9 and 10 minutes .

3 0
3 years ago
Jason used a graphing tool to find the equation of the line of best fit in this scatter plot. After reading the equation of the
anzhelika [568]

Answer: Jason likely MADE an error when working the equation in his notebook because ONLY THE Y-INTERCEPT MATCHES the slope and the y-intercept of the equation he wrote.

Step-by-step explanation:

8 0
3 years ago
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