Find the distance between -12.4 and -6.9

Mathematics

2 answers:

madreJ [45]3 years ago

7 0

Answer:

5.5

Step-by-step explanation:

We have to consider the absolute value of the difference between the values in both directions, that is

| - 12.4 - (- 6.9) |

= | - 12.4 + 6.9 | = | - 5.5 | = 5.5

and

| - 6.9 - (- 12.4) |

= | - 6.9 + 12.4 | = | 5.5 | = 5.5

Thus the distance between the 2 values is 5.5

creativ13 [48]3 years ago

6 0

Answer:

5.5

Step-by-step explanation:

Solve by subtracting the two numbers:

-12.4 - (-6.9)

Note that two negative signs = one positive sign. Simplify:

-12.4 - (-6.9)

-12.4 + 6.9

Simplify. Combine the terms:

-12.4 + 6.9 = 6.9 - 12.4 = -5.5

However, note that distance cannot be a negative number, so your answer is positive 5.5

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In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha

mixer [17]

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

4 0

4 years ago

IN DESPERATE NEED OF HELP :(

Eddi Din [679]

So, the problem is asking for one of the equations to be rewritten. Lets rewrite the second one. The way to create a system of equations that will cancel is to create a situation where the a or b of both equations add to 0. In this case, we can multiply the second equation by 3 to turn the 3y into 9y.

$3(-x + 3y) = (6)3$