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Crank
3 years ago
16

Which disjunction is always true for any real number x?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0

Answer:

A number x is greater than 5 or less than 10

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suppose that the lifetime of a transistor is a gamma random variable x with mean of 24 weeks and standard deviation of 12 weeks.
emmainna [20.7K]

The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma(\alpha ,\beta)

E(X)= \alpha \beta                 \beta= 12^{2}/24=6 weeks

V(x)= \alpha \beta ^{2}                \alpha=24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, \alpha, \beta, False)

P(12\leq X\leq 24)

P(12/6\leq G\leq 24/6)

P(2\leq G\leq 4)

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

To learn more about probability click here:

brainly.com/question/11234923

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4 0
1 year ago
Read 2 more answers
A sweater is on sale for 40 percent off its origanal price of 29.95 what is the amount of savings
horrorfan [7]

0.4×29.95

=11.98 so your answer is 11 dollars and 98 cents

8 0
3 years ago
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The owner of a fish market has an assistant who has determined that the weights of catfish are normally​ distributed, with mean
LiRa [457]

Answer:

P(X\geq 3.4)=0.0228

Step-by-step explanation:

Given the mean is 3.2, standard deviation is 0.8 and the sample size is 64.

-We calculate the  probability of a mean of 3.4 as follows:

#First determine the z-value:

z=\frac{\bar X -\mu}{\sigma/\sqrt{n}}\\\\=\frac{3.4-3.2}{0.8/\sqrt{64}}\\\\=2.000

#We then determine the corresponding probability on the z tables:

Z(X\geq 3.4)=1-P(X

Hence, the probability of obtaining a sample mean this large or​ larger is 0.0228

8 0
3 years ago
20 divided by 2 (5 5)=
Anni [7]
20 ÷ 2 (5,5)
20 ÷ 2 (25)
20 ÷ 50
.4
8 0
3 years ago
Using the segment addition postulate, which is true? A number line going from negative 9 to positive 9. A closed circle appears
MArishka [77]

Answer:

  BC + CD = BD

Step-by-step explanation:

The segment addition postulate tells you that when a segment is divided into two parts, the sum of the lengths of the first part of the divided segment and the second part of the divided segment will be equal to the length of the whole segment.

If point C divides segment BD into BC and CD, then the sum of those two segments will match the whole.

4 0
3 years ago
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