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Rom4ik [11]
3 years ago
15

How many 1/8s are there in jacob's 6 aquriums

Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0

Answer:

48 1/8s

Step-by-step explanation:

a whole is 8/8 so u multiply 8 by 16 to get 48

hope this helps

please mark brainliest

have an amazing day!!!

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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
What is constant of Proportionality in the equation y = 2.5x ?
Tpy6a [65]

Answer:

<em>2.5</em>

Step-by-step explanation:

A direct variation equation has the form y = kx, where k is the constant of proportionality.

In this case, the constant of proportionality is 2.5.

4 0
3 years ago
Write the slope intercept form Through:(-1,0) and (-5,-5)
jarptica [38.1K]

Answer:

y=\frac{5}{4} x + \frac{5}{4}

7 0
3 years ago
Give brainliest! Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long. Point C is on
Anastasy [175]

Answer: y coordinate is 6

Step-by-step explanation:

6=1/2(3)(h)

If you solve for H then

h=4

So, add 4 to the line y=2

y=2+4

2+4= 6

Hence, the possible y coordinate of point C is 6

Hope this helped!

I would really appreciate if marked brainlest !

Thank you !

6 0
3 years ago
Read 2 more answers
If c=4 and the problem is c to the third power/2 what is the answer?
tiny-mole [99]

c=4\\\frac{c^3}{2}\\\frac{(4)^3}{2}\\\frac{64}{2}\\32

When c = 4 and it is applied to this equation, the answer is 32.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

6 0
4 years ago
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