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3 years ago

8

p is inversely proportional to 3q-1. The difference in the values of p when q = 1 and q=2 respectively is 3. Find the value of p

when q = 5

1 answer:

Vsevolod [243]3 years ago

3 0

Step-by-step explanation:

3q - 1 = 3(1) - 1 = 2

3q -1 = 3(2)- 1= 5

10/p = 2 10/p = 5

p= 5 p= 2 (5-2=3, so 10/p is correct)

q=5, 3(5) -1 = 14

10/p = 14

p = 0.71??

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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

The campsite is square in shape and has a length of 65 metres.<br> What is the area of the campsite?

IgorLugansk [536]

65x65=4225
that's your answer (4225)

4 0

3 years ago

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ANSWER THIS PLEASE!

Minchanka [31]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

What value of k makes the statement true?<br> x² (2x³ + 7x²yª) = 2xªyª + 7x³y8?

Nina [5.8K]

By apply the distributive property of multiplication, the value of k which makes the statement true is 1.

<h3>What is the distribution property?</h3>

Mathematically, the distributive property of multiplication is given by tis expression:

x(y + z) = xy + xz.

Next, we would apply the distributive property of multiplication to the given equation by distributing to the left-hand side using xy⁴:

k(2x⁴y⁴ + 7x³y⁸) = 2x⁴y⁴ + 7x³y⁸

Dividing both sides by the common factor, we have:

k = (2x⁴y⁴ + 7x³y⁸)/(2x⁴y⁴ + 7x³y⁸)

k = 1.

In conclusion, the value of k which makes the statement true is 1.

Read more on distributive property here; brainly.com/question/2807928

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<u>Complete Question:</u>

What value of k makes the statement true?

$x^k$ y⁴(2x³ + 7x²y⁴) = 2x⁴y⁴ + 7x³y⁸

5 0

2 years ago

PLEASE HELP. ITS ABOUT GRIDS (x,y). ILL DO ANYTHING. ITS 7TH GRADE MATH PLEASE OMG

Alexxandr [17]

Answer

: 4.5

Step-by-step explanation:

a^2+b^2=c^2

4^2+2^2=20

Square root of 20 = 4.5

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3 years ago

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