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3 years ago

(Find common denominator first.) 3/2 + b=7/4

Mathematics

1 answer:

g100num [7]3 years ago

3 0

Answer:

b = 1/4

Step-by-step explanation:

Take the given fractions : 3/2 and 7/4 and find a common denominator.

We will use 4 as a common denominator.

In order for the denominator of 3/2 to get to 4, you need to multiply by 2.

3 × 2 = 6 2 × 2 = 4

New fraction: 6/4

Now we have the equation 6/4 + b = 7/4

7/4 - 6/4 = 1/4

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Step-by-step explanation:

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4 years ago

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3 years ago

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IrinaVladis [17]

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3 years ago

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Butoxors [25]

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4 years ago

A random number is selected from the interval [6.35, 10]. Find the probability that the number is within a distance of 0.25 from

exis [7]

Let X be a random number selected from the interval. Then the probability density for the random variable X is

$f_X(x)=\begin{cases}\dfrac1{10-6.35}=\dfrac1{3.65}\approx0.2740&\text{if }6.35\le x\le 10\\0&\text{otherwise}\end{cases}$

8 and 10 are the only even integers that fit the given criterion (6 is more than 0.25 away from 6.35), so that we're looking to compute

P(|X - 8| < 0.25) + P(|X - 10| < 0.25)

… = P(7.75 < X < 8.25) + P(9.75 < X < 10.25)

… = P(7.75 < X < 8.25) + P(9.75 < X < 10)

(since P(X > 10) = 0)

… = 0.2740 (8.25 - 7.75) + 0.2740 (10 - 9.75)

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3 years ago