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3 years ago

In any ratio relating the number of gallons of gas and the number of miles driven will one of the values always be larger

1 answer:

7 0

Yes. Here's an example : I used 4 gallons of gas and drove 28 miles. The ratio is 4gallons for every 28 miles. 4 gallons: 28 miles.

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Use the Ratio Test to determine whether the series is convergent or divergent. [infinity] n! 112n n = 1 Identify an. Correct: Yo

MakcuM [25]

Answer:

Step-by-step explanation:

Recall that the ratio test is stated as follows:

Given a series of the form $\sum_{n=1}^{\infty} a_n let L=\lim_{n\to \infty}\left|\frac{a_{n+1}}{a_n}\right|$

If L<1, then the series converge absolutely, if L>1, then the series diverge. If L fails to exist or L=1, then the test is inconclusive.

Consider the given series $\sum_{n=1}^{\infty} n! \cdot 112n$ . In this case, $a_n =n! \cdot 112n$ , so , consider the limit

$\lim_{n\to\infty} \frac{(n+1)! 112 (n+1)}{n! 112 n} = \lim_{n\to\infty}\frac{(n+1)^2}{n}$

Since the numerator has a greater exponent than the numerator, the limit is infinity, which is greater than one, hence, the series diverge by the ratio test

7 0

2 years ago

The lifetime of two light bulbs are modeled as independent and exponential random variables X and Y, with parameters lambda and

Scorpion4ik [409]

Answer:

$\bf h(x)=max(\lambda,\mu) e^{-max(\lambda,\mu) x}\;(x\geq0)$

Step-by-step explanation:

The PDF of X is

$\bf f(x)=\lambda e^{-\lambda x}\;(x\geq0)$

The PDF of Y is

$\bf g(x)=\mu e^{-\mu x}\;(x\geq0)$

The means of X and Y are respectively,

$\bf \displaystyle\frac{1}{\lambda}\;,\displaystyle\frac{1}{\mu}$

so we can see that the larger the parameter, the smaller the mean. Hence the PDF of Z = min(X, Y) is an exponential with the largest parameter of the two.

Therefore, the PDF of Z is

$\bf h(x)=max(\lambda,\mu) e^{-max(\lambda,\mu) x}\;(x\geq0)$

7 0

2 years ago

For f (x) = 3x +1 and g(x) = x2 - 6, find (f 3)(x)

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

f(x) = 3x + 1

f(3)= 3 * 3 + 1 + 10

5 0

2 years ago

What is the rational number equivalent to 1.28?

shusha [124]

Answer: 1 28/100 or 1 7/25

Step-by-step explanation:

6 0

1 year ago

What is the range?<br> 0,10,-24,-5,-5,3,3,-8,10

Nuetrik [128]

Answer:

-14

Step-by-step explanation:

Range is the difference between the lowest and highest values.

6 0

2 years ago