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3 years ago

Give the slope-intercept form of the equation of the line that is perpendicular to –7x – 8y = 12 and contains P(–3, 1)

Mathematics

1 answer:

snow_lady [41]3 years ago

7 0

Answer:

(-7/8)

Step-by-step explanation:

the line is -7x -8y =12

its slope = -(-7/-8)= -7/8

it passes through P(-3, 1)

(y-1)=(-7/8)(x+3)

y-1 = (-7/8)x - 21/8

y = (-7/8)x -13/8

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Military radar and missile detection systems are designed to warn a coutry of an enemy attack. Assume that a particular detectio

Tom [10]

Answer:

0.96 = 96% probability that at least one of them detect an enemy attack.

Step-by-step explanation:

For each radar, there are only two possible outcomes. Either it detects the attack, or it does not. The missiles are operated independently, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Assume that a particular detection system has a 0.80 probability of detecting a missile attack.

This means that $p = 0.8$

If two military radars are installed in two different areas and they operate independently, the probability that at least one of them detect an enemy attack is

This is $P(X \geq 1)$ when $n = 2$ . So

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.8)^{0}.(0.2)^{2} = 0.04$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.04 = 0.96$

0.96 = 96% probability that at least one of them detect an enemy attack.

6 0

3 years ago

Write the equation of the line that passes through the points (2,5) and (3, 10)

mihalych1998 [28]

Answer:

y = 5x-5

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

= ( 10-5)/(3-2)

= 5/1

Using slope intercept form

y = mx+b

y = 5x+b

Substituting a point into the equation

5 = 5*2+b

5 = 10+b

Solving for b

5-10 = b

-5 =b

y = 5x-5

7 0

3 years ago

Find the measure of angle W in the attached diagram and explain how you found it. Please provide diagram with an explanation if

kolezko [41]

Answer:

The measure of angle w is 76°

Step-by-step explanation:

Please, see the attached file.

Thanks.

4 0

4 years ago

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The length of the _______________ of the rectangular region approximates the length of the ________________ of the circle.

leonid [27]

Area, Area

Step-by-step explanation:

The rectangle and the circle are connected via this relationship.

Triangle area equals Circle area

7 0

3 years ago

What is 66 2/3% as a decimal to the nearest tenth

KonstantinChe [14]

We first know that 66 as a decimal is well 66. Now, 2/3 as a decimal would be 66.666666 and so on on. Therefore, 66 and 2/3 as a decimal is 66.66666 and so on.

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3 years ago

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