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madam [21]
3 years ago
8

Width of an MP3 player

Mathematics
1 answer:
likoan [24]3 years ago
5 0
1.73 inches wide
____________________________________
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The probability that the noise level of a wide-band amplifier will exceed 2 dB is 0.05 independently of every other amplifier. C
snow_lady [41]

Answer:

0.980

Step-by-step explanation:

The probability that the noise level of a wide-band amplifier will exceed 2 dB is 0.05

So, probability of success = 0.05

Probability of failure = 1-0.05=0.95

There are 12 amplifiers

We are supposed to find  the probability that at most two will exceed 2dB.

We will use binomial distribution

Formula : P(X=r)=^nC_r p^r q ^{n-r}

p = 0.05

q = 0.95

n = 12

We are supposed to find the probability that at most two will exceed 2dB.

So, P(X\leq 2)=P(X=0)+P(X=1)+P(X=2)

P(X\leq 2)=^{12}C_0 P(0.05)^0 (0.95)^{12-0}+^{12}C_1 P(0.05)^1(0.95)^{12-1}+^{12}C_2 P(0.05)^2 (0.95)^{12-2}

P(X\leq 2)=\frac{12!}{0!(12-0)!} (0.05)^0 (0.95)^{12-0}+\frac{12!}{1!(12-1)!}(0.05)^1(0.95)^{12-1}+\frac{12!}{2!(12-2)!} (0.05)^2 (0.95)^{12-2}

P(X\leq 2)=0.980

Hence the probability that at most two will exceed 2dB is 0.980

7 0
3 years ago
Explain why the order of operations is important. Use at least three
Sphinxa [80]

The order of operations is a rule that tells you the right order in which to solve different parts of a math problem. The order of operations is important because it guarantees that people can all read and solve a problem in the same way.

8 0
3 years ago
Find the surface area
timofeeve [1]

Answer: 196 m

Step-by-step explanation:

6 0
3 years ago
Solve the system of equations below.<br> 5.1 – 2y=18<br> 3.x+3y=15
s344n2d4d5 [400]

Answer: y= -6.45 and y=5-x

Step-by-step explanation:

Subtract 5.1 from both sides.

-2y= 18-5.1

Simplify 18- 5.1 to 12.9

-2y=12.9

Divide both sides by -2

y= - 12.9/2

Simplify 12.9/2 to 6.45

y=-6.45

Factor out the common term 3.

3(x+y)=15

Divide both sides by 3.

x+y =15/3

Simplify 15/3 to 5.

x+y = 5

Sub. x from both sides

y= 5-x

8 0
3 years ago
What is the best estimate for this sum?
Serggg [28]
It's 7/24 so about 0.292
therefore it will be close to 1/4

or you calculate 1/8 = 0.125 and 1/6 = 0.1666 adds up close to 1/4
3 0
3 years ago
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