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3 years ago

Evaluate the integral i. i = int_0^(pi/2) ( 3 (sin(t))^2 cos(t)i + 6 sin(t)(cos(t))^5j + 4 sin(t)cos(t)k )dt

Mathematics

1 answer:

marishachu [46]3 years ago

3 0

See, please, the suggested option.
If it possible, check it in other sources.

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Find the circumference of the circle to the nearest 10th use 3.14 the radius is 25

Mashutka [201]

If the radius is 25, the diameter is 50.

Use C = (3.14)(50)

C = 157

No need round off to the nearest tenth.

8 0

3 years ago

Find 4 × 0.001.<br><br> A) 0.0004 <br> B) 0.004 <br> C) 0.04 <br> D) 0.4

maksim [4K]

Answer:

B) 0.004

Step-by-step explanation:

0.001

x 4

----------

0.004

8 0

3 years ago

Read 2 more answers

The probability that a rental car will be stolen is. 4. if 3500 cars are rented, what is the approximate poisson probability tha

kozerog [31]

Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.

<h3>What is the Poisson distribution?</h3>

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

$P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}$

The parameters are:

x is the number of successes

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:

$\mu = 3500 \times 0.0004 = 1.4$

The probability that 2 or fewer cars will be stolen is:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

In which:

$P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466$

$P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452$

$P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417$

Then:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335$

0.8335 = 83.35% probability that 2 or fewer will be stolen.

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

4 0

1 year ago

Simplify the difference.

mr_godi [17]

$\displaystyle\frac{n^2-10n+24}{n^2-13n+42}-\frac{9}{n-7}=\frac{(n-6)(n-4)}{(n-6)(n-7)}-\frac{9}{n-7}\\\\=\frac{n-4}{n-7}-\frac{9}{n-7}=\frac{n-4-9}{n-7}\\\\=\frac{n-13}{n-7}$

The last choice is appropriate.

3 0

3 years ago

Find the mean, median, and mode of the data set. Round your answers to the nearest tenth if necessary.

bekas [8.4K]

Answer:

Mean: 83.2

Median: 82.5

Mode: 72

Step-by-step explanation:

If you put them all in order, Its really straightforward from there.

3 0

3 years ago