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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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4 0
4 years ago
What are two rational numbers between -3/4 and -2/3​
Vadim26 [7]

The two rational numbers between -  \frac{3}{4}and -  \frac{2}{3}is -  \frac{32}{48},-  \frac{36}{48}

<h3>How to find the rational numbers between -3/4 and -2/3?</h3>

In the form of p/q, which can be any integer and where q is not equal to 0, is expressed as rational numbers. As a result, rational numbers also contain decimals, whole numbers, integers, and fractions of integers (terminating decimals and recurring decimals).

given that -3/4 and -2/3

now take L.C.M between these two rational numbers is 12.

now multiply -3/4 with 3 both numerator and denominator

-  \frac{3}{4}  \times  \frac{3}{3}  =   - \frac{ 9}{12}

again multiply -9/12 with 4 both numerator and denominator

-  \frac{9}{12}  \times  \frac{4}{4}  =  -  \frac{36}{48}

now multiply -2/3 with 4 both numerator and denominator

-  \frac{2}{3}  \times  \frac{4}{4}  =  -  \frac{8}{12}

again multiply -8/12 with 4 both numerator and denominator

-  \frac{8}{12}  \times  \frac{4}{4}  =  -  \frac{32}{48}

Hence the -36/48 and -32/48 are rational numbers between -3/4 and -2/3

Learn more about rational numbers, refer:

brainly.com/question/12088221

#SPJ9

8 0
2 years ago
19 /5 as a mixed number
mel-nik [20]

Answer:

\frac{19}{5}= 3\frac{4}{5}

Step-by-step explanation:

5 can go into 19 three times. This will leave a remainder of 4. Therefore, 19/5 as a mixed number is 3 4/5.

4 0
3 years ago
5. Consider the diagram below. Choose the correct statement."
Ivanshal [37]

Answer:

Option (3)

Step-by-step explanation:

Option (1).

AB and SE are coplanar.

Incorrect.

AB lies in a plane ABS and SE lies in another plane SEL.

Option (2).

TS and SE intersect at E.

Incorrect.

They intersect at S.

Option (3).

R intersects K at SB.

Correct.

Since line of intersection of planes R and K is SB

Option (4)

AB and BL are perpendicular at B.

Incorrect.

Angle between them is not 90°.

6 0
4 years ago
The green darner is one of the largest dragonflies. It weighs about four hundredths of an ounce. Write four hundredths in standa
Tju [1.3M]

Answer:

Four hundredths

In standard form - 4\times 10^{-2}

Step-by-step explanation:

Given : The green darner is one of the largest dragonflies.

It weighs about four hundredths of an ounce.

To write : Four hundredths in standard form.

Solution :

Standard form is when we write a larger number in a smaller way.

For example : 20000= 2\times 10^4

So, according to question

Largest dragonflies weighs about four hundredths of an ounce.

Four hundredths means 0.04

In standard form - 4\times 10^{-2}

7 0
3 years ago
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