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kotegsom [21]
3 years ago
11

The domain of a graph is

Mathematics
1 answer:
Minchanka [31]3 years ago
6 0
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
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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
Andre is walking from home to a festival that is 1 5\8 kilometers away. He takes a quick rest after walking 1\3 kilometers. In t
alisha [4.7K]

Answer:

?\times1\frac{5}{8}=\frac{1}{3} represents what fraction of the trip has Andre completed?

Step-by-step explanation:

Consider the provided information.

Andre is walking from home to a festival that is 1\frac{5}{8} kilometers away.

He takes a quick rest after walking \frac{1}{3} kilometers.

Let '?' represents the part of trip completed.

Therefore, ?\times1\frac{5}{8}=\frac{1}{3} represents what fraction of the trip has Andre completed?

8 0
3 years ago
8. Which expression is equivalent to
Ksju [112]

Answer:

option 3

Step-by-step explanation:

\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\

\dfrac{12x^{4}}{4x^{16}}=3x^{4-16}

5 0
2 years ago
In n + 10 =40, then what is the value of the expression n - 25?
damaskus [11]
Find n first.


n+10= 40

Subtract 10.

n= 30

Plug in n.

30-25= 5

The answer is 5.

I hope this helps!
~cupcake
8 0
3 years ago
Read 2 more answers
Increase or decrease 32 pages to 28 Pages round to the nearest tenth of a percent
Amiraneli [1.4K]
Hello! I would love to help!


Let's start by decreasing 32 pages to 28. How many pages does it take to get from 28 to 32? Let's subtract to find out!


32-28=4

Okay, now we know 28 pages is 4 less than 32.

Now, what percentage did it decrease by? Let's find out by dividing!

4/32=0.125

Let's make that decimal into a percentage by multiplying it by 100.

0.125*100=12.5


So, we now know the answer is...


decreased by 12.5%


Hope this helped! Comment if you have questions!
6 0
3 years ago
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