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2 years ago

8

a box contains 29 widgets, 4 of which are defective. if 4 are sold at random, find the probability that (a) all are defective (b

) none are defective

1 answer:

Lunna [17]2 years ago

6 0

There would be a 16% chance of the widgets being defective and there is an 84% chance of the widgets not being defective.

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Leno4ka [110]

Answer:

$\frac{s^2-25}{(s^2+25)^2}$

Step-by-step explanation:

Let's use the definition of the Laplace transform and the identity given: $\mathcal{L}[t \cos 5t]=(-1)F'(s)$ with $F(s)=\mathcal{L}[\cos 5t]$ .

Now, $F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt$ . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that $F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt$ .

Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that

$F(s)=\frac{s}{5}(\frac{-1}{5}\cos(5t)e^{-st} |_{0}^{+\infty}-\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}(\frac{1}{5}-\frac{s}{5}\int_0^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}-\frac{s^2}{25}F(s)$ .

Solving for F(s) on the last equation, $F(s)=\frac{s}{s^2+25}$ , then the Laplace transform we were searching is $-F'(s)=\frac{s^2-25}{(s^2+25)^2}$

3 0

2 years ago

How many lines of symmetry does the shape have?

jenyasd209 [6]

12
The shape has 12 lines of symmetry because you add
up all the sides

6 0

2 years ago

Mile is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace about how many pages wil

inna [77]

Answer:

462.5 pages

Step-by-step explanation:

You find out how many books she reads in 1 day then you can multiply it by 5 to get 5 days.

If she reads 185 in 2 days. Divide 185 by 2 to get 1 day.

185/2 = 92.5 pages

Now multiply 92.5 by 5 to get how many pages she read after 5 days.

92.5 x 5 = 462.5 pages

8 0

2 years ago

6 of 10 equal pieces is the same as 60 of 100 equal pieces and ___ of 5 equal pieces?

gizmo_the_mogwai [7]

3 of 5 because you can halve each number for example 6 can be halved to make 3 and 10 can be halved to make 5

4 0

2 years ago

The distance between mumbai and dubai is about 1940 km if the cruising speed of the emirates flight is 595 km/hr how long does i

inna [77]

Answer:

3.26 hours

Step-by-step explanation:

speed = distance / time

595 = 1940 / t

t = 1940 / 595 = 3.26 hours

or

6 0

2 years ago