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lara [203]
3 years ago
9

Describe four different subsets of a real numbers.

Mathematics
1 answer:
Vadim26 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

Natral whole rational irrational

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Chapter 15 probability
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What do you mean by that? 
4 0
3 years ago
What substitution should be used to rewrite 4x^4-21x^2+20=0 as a quadratic equation
Andreyy89

let y = x^2

4y^2 -21y + 20 = 0

solve for y

then substitute back in to get x

8 0
3 years ago
Read 2 more answers
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
Can someone help me answer this please
True [87]

Answer:(2,-1)

Step-by-step explanation: Because you go across the x-axis first and that is your first number(2) and then you look at your y-axis(-1)

6 0
3 years ago
Jason has x nickels and y dimes. He has no less than 15 coins worth a maximum of $1 combined. Solve this system of inequalities
Juli2301 [7.4K]

Answer:

x + y <u>></u> 15

10x + 5y <u><</u> 100

we will put it in terms of y

y <u>></u> 15 - x

and

5y <u><</u> 100 - 10x

y <u><</u> 20 - 2x

<u>-TheUnknownScientist</u>

4 0
3 years ago
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