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kolbaska11 [484]
1 year ago
11

Write a rule for the function: 1 6 2 11 3 16 4 21

Mathematics
1 answer:
PolarNik [594]1 year ago
8 0

Answer:

4 21

Step-by-step explanation:

Its probably the answer you are looking for

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Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c
GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(c) The value of P (X < 30) is 0.9502.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0

The value of E (X) is 10.

The parameter λ is:

\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10

(a)

Compute the value of P (X > 10) as follows:

P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353

Thus, the value of P (X > 20) is 0.1353.

(c)

Compute the value of P (X < 30) as follows:

P(X

Thus, the value of P (X < 30) is 0.9502.

(d)

It is given that, P (X < x) = 0.95.

Compute the value of <em>x</em> as follows:

P(X

Take natural log on both sides.

ln(e^{-0.10x})=ln(0.05)\\-0.10x=-2.996\\x=\frac{2.996}{0.10}\\ =29.96\\\approx30

Thus, the value of x is 30.

7 0
3 years ago
ASHLEY IS GOING ON A TRIP TO LONDON. SHE SAVED $100.00 IN SPENDING MONEY. WHEN SHE ARRIVES IN ENGLAND, SHE GOES TO A BANK TO CHA
Ilya [14]

Answer:

65.93

Step-by-step explanation:

Okay, first lets convert the money.

100 ÷ 1.43 = 69.9300699301 (69.93)

69.93 - 4 = 65.93

Ashley has 65.93 pounds.

Hope this helps! Brainliest would be appreciated. :)

4 0
2 years ago
What is six less than 9
Alex73 [517]

Answer:

3

Step-by-step explanation:

9-6=3

4 0
3 years ago
A deep-sea diver dived off a boat to a depth of -45 feet. What is the absolute value that expresses the distance the diver went?
Vlad1618 [11]

45 feet.

Absolute value is the distance of a number from 0. Say 0 is the surface of the ocean, then the diver is 45 feet away from it. Either from above or below, they are the same distance away.

7 0
2 years ago
Help,anyone can help me do quetion,I will mark brainlest.​
Anna [14]

Answer:

Step-by-step explanation:

7)  4*5 - 2*3 = answer

20-6 = 14

8)  5*4 - 2*(2*2) = answer

20 -8 = 12

5 0
3 years ago
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