Mathematics, 05.10.2019 04:20 DangerDash

The next generation of miniaturized wireless capsules with active locomotion will require two miniature electric motors to maneuver each capsule. suppose 10 motors have been fabricated but that, in spite of tests performed on the individual motors, 2 will not operate satisfactory when placed in a capsule. to fabricate a new capsule, 2 motors will be randomly selected(that is, each pair of motors has the same chance of being selected.) find the probability that: a: both motors will operate satisfactory in the capsule. b: one motor will operate satisfactory in the capsule and one will not.

Answers: 2

Show answers

Answers

Answer from: colyernicholas44

a) There is a 61.6% probability that both motors will operate satisfactory in the capsule.

b) There is a 35.52% probability that one motor will operate satisfactory in the capsule and one will not.

Step-by-step explanation:

We have 10 motors, of which

8 will operate correctly

2 will not operate correctly.

a)Find the probability that both motors will operate satisfactory in the capsule.

There are 10 motors, of which 8 will operate correctly. So the probability that the first motor will operate correctly is 80%.

There is no replacement, so now there are 9 motors, of which 7 operate correctly. So there is a $\frac{7}{9} = 0.77$ = 77% probability that the second motor will operate correctly.

So, the proability that both motors will operate satisfactory is:

P = 0.8*0.77 = 0.616

There is a 61.6% probability that both motors will operate satisfactory in the capsule.

b) One motor will operate satisfactory in the capsule and one will not.

There are two cases that satisfy this.

The first case is when the first motor operates satisfactory and the second does not.

There is a 80% probability that the first motor operates correctly. Then, there will be 9 motors, of which 2 will not operate correctly, meaning that the probability that the second capsule does not operate correctly is $\frac{2}{9} = 0.222$ . So, the probability that the first capsule operates correctly and the second does not is:

$P_{1} = 0.8*0.222 = 0.1776$

We can also have the first motor not operating satisfactory and the second operating.

2 out of 10 motors will not operate correctly, so the probability that the first motor does not operate correctly is 20%. Now, there are 9 motors, 8 of which will operate correctly. So, the probability that the second one will operate correctly in this case is $\frac{8}{9} = 0.888$ . This means that the probability that the first one does not operate satisfactory and the second does is

$P_{2} = 0.2*0.888 = 0.1776$

The probability that one motor will operate satisfactory in the capsule and one will not is

$P = P_{1} + P_{2} = 0.1776 + 0.1776 = 0.3552$

Answer from: Quest

glide reflection.

its mainly because the pattern will be infinite and will never end. it will look like a gilder or like a filpbook when set to motion.

Answer from: Quest

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

Another question on Mathematics

Mathematics, 21.06.2019 14:30

Which quadratic function best fits this data? x y 1 32 2 78 3 178 4 326 5 390 6 337 a. y=11.41x2+154.42x−143.9 b. y=−11.41x2+154.42x−143.9 c. y=11.41x2+154.42x+143.9 d. y=−11.41x2+154.42x+143.9

Answers: 3

Answer

Mathematics, 21.06.2019 16:30

Which choice represents the sample space ,s for this event

Answers: 3

Answer

Mathematics, 21.06.2019 22:00

Worth 100 points need the answers asap first row -x^2 2x^2 (x/2)^2 x^2 x is less than 2 x is greater than 2 x is less than or equal to 2 x is greater than or equal to 2 second row -5 -5/2 4 5 •2 is less than x& x is less than 4 •2 is less than or equal to x & x is less than or equal to 4 •2 is less than or equal to x& x is less than 4 •2 is less than x& x is less than or equal to 4

Answers: 2

Answer

Mathematics, 21.06.2019 23:00

Solve the system of equations using the substitution method. {y=−3x+7x=−2y−16 enter your answers in the boxes.

Answers: 1

Answer

You know the right answer?

The next generation of miniaturized wireless capsules with active locomotion will require two miniat...

Questions