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IrinaVladis [17]
3 years ago
14

If you look at a state map with a representative fraction scale of 1:500,000; the straight-line distance between two cities is e

qual to 12.7 inches on the map. Assuming that the representative fraction scale is also in inches, what is the ground distance between these two cities in miles?
Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

Answer:

Step-by-step explanation:

The scale factor is given as 1:500,000

i.e. original 500,000 is represented as 1 inch in the map

Hence if 12.7 inches on the map, this is a question of direct variation

So actual distance = 12.7(500000) = 6350000

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Answer:

(14-9i)+(2+3i) = 16-6i

Step-by-step explanation:

We need to find the equivalent of (14-9i)+(2+3i).

We need to add the two expressions.

(14-9i)+(2+3i) = 14+2 -9i+3i

= 16-6i

Here, the real part is 16

The imaginary part is -6

Hence, the required answer is equal to 16-6i.

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A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work pro
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Answer:

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Step-by-step explanation:

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P(A)=P(B)=0.93, P(C)=0.95,P(D)=0.92

If these components set up in such a manner that all four parts must work for the machine to work properly.

We need to find the probability that the machine works properly. It means we have to find the value of P(A\cap B\cap C\cap D).

If two events X and Y are independent, then

P(X\cap Y)=P(X)\times P(Y)

Assume the probability of one part working does not depend on the functionality of any of the other parts.

P(A\cap B\cap C\cap D)=P(A)\times P(B)\times P(C)\times P(D)

Substitute the given values.

P(A\cap B\cap C\cap D)=0.93\times 0.93\times 0.95\times 0.92

P(A\cap B\cap C\cap D)=0.7559226

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7 0
2 years ago
Suppose lightning strikes at an average of 1.4 strikes per minute during a particular storm. You play the following game: if the
ZanzabumX [31]

Answer:

$3.25

Step-by-step explanation:

Given that:

Mean, λ = 1.4

Strike within next minute = $3 won

Strike between one and 2 minutes = $5

Strike more than 2 minutes = $1

Probability that next strike occurs within the next minute :

Using poisson :

P(x < 1) = 1 - e^-(λx) ;

P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4

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P(x < 2) - P(x < 1)

P(x < 2) = 1 - e^-(λx) ;

P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8

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P(x > 2) = 0.0608100

Amount charged :

(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)

= 3.2499

= $3.25

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2 years ago
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