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Westkost [7]
3 years ago
15

The probability that a certain kind of component will survive a shock test is 3/4. Find the probability that exactly 2 of the ne

xt 4 components tested survive test, assuming tests are independent.
Mathematics
1 answer:
Marina86 [1]3 years ago
3 0

Answer:

Therefore the required probability is =\frac{27}{128}

Step-by-step explanation:

The probability of success is \frac{3}{4}

The number of trial = 4

X= the items survive out of 4

P(x=r)=^nC_rq^{n-r}p^r        p =the probability of success and q = the probability failure.

p=\frac{3}{4}     and q=(1-\frac{3}{4})=\frac{1}{4}

\therefore P(X=2)=^4C_2(\frac{1}{4} )^2(\frac{3}{4} )^2

                  =\frac{4!}{2!2!} (\frac{1}{16} )(\frac{9}{16} )

                  =\frac{27}{128}

Therefore the required probability is =\frac{27}{128}

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Bad White [126]

Answer:

3m - 4

Step-by-step explanation:

Divide.

(15mn)/(5n) = 3m

(-20n)/(5n) = -4

3m - 4 is your answer.

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7 0
3 years ago
Given each set of points, determine if AB and CD
tester [92]

Answer:

Paralell

Step-by-step explanation:

The line from A to B has a slope of 1

the Line from C to D had a slope of 1

since the slopes are equal the lines are paralell

7 0
2 years ago
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Jlenok [28]

Answer:

x=20

Step-by-step explanation:

For A to be parallel to B, the angles of 5x+20 and 3x+60 must be equal.

5x+20=3x+60

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3 0
3 years ago
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Can you help me solve this radical equation √y-10 = y-2 the sqrt sign is only over the y-10
matrenka [14]
D:y-10\geq0 \wedge y-2\geq0\\
D:y\geq10 \wedge y\geq2\\
D:y\geq10\\\\
\sqrt{y-10}=y-2\\
y-10=(y-2)^2\\
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7 0
3 years ago
Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break duri
katrin [286]
For this case we have the following equation:
 d (t) = 12t + 20

 The variables are:
 t: time in hours
 d (t): distance traveled in miles.
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d (4) = 48 + 20

d (4) = 68
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d (4) = 68
 
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6 0
3 years ago
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