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3 years ago

15

A secondhand clothing store finds that 1/6 of the donations they receive are not in good enough condition to be sold. Of those i

tems, 3/4 only require minor repairs. What part of the donations are not good enough to be sold but only required minor repairs?

1 answer:

prohojiy [21]3 years ago

8 0

Answer:

1/8

Step-by-step explanation:

3/4 x 1/6=1/8

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Audrey, an astronomer is searching for extra-solar planets using the technique of relativistic lensing. Though there are believe

Stolb23 [73]

Answer:

Step-by-step explanation:

The model $N (t)$ , the number of planets found up to time $t$ , as a Poisson process. So, the $N (t)$ has distribution of Poison distribution with parameter $(\lambda t)$

a)

The mean for a month is, $\lambda = \frac{1}{3}$ per month

$E[N(t)]= \lambda t\\\\=\frac{1}{3}(24)\\\\=8$

(Here. t = 24)

For Poisson process mean and variance are same,

$Var[N (t)]= Var[N(24)]\\= E [N (24)]\\=8$

(Poisson distribution mean and variance equal)

The standard deviation of the number of planets is,

$\sigma( 24 )] =\sqrt{Var[ N(24)]}=\sqrt{8}= 2.828$

b)

For the Poisson process the intervals between events(finding a new planet) have independent exponential distribution with parameter $\lambda$ . The sum of $K$ of these independent exponential has distribution Gamma $(K, \lambda)$ .

From the given information, $k = 6$ and $\lambda =\frac{1}{3}$

Calculate the expected value.

$E(x)=\frac{\alpha}{\beta}\\\\=\frac{K}{\lambda}\\\\=\frac{6}{\frac{1}{3}}\\\\=18$

(Here, $\alpha =k$ and $\beta=\lambda$ )

C)

Calculate the probability that she will become eligible for the prize within one year.

Here, 1 year is equal to 12 months.

P(X ≤ 12) = (1/Г (k)λ^k)(x)^(k-1).(e)^(-x/λ)

$=\frac{1}{Г (6)(\frac{1}{3})^6}(12)^{6-1}e^{-36}\\\\=0.2148696\\=0.2419\\=21.49%$

Hence, the required probability is 0.2149 or 21.49%

5 0

3 years ago

Determine the volume of this prism

nikdorinn [45]

Answer:

200cm cubed

Step-by-step explanation:

Remember that volume of a rectangular prism is length x width x height

4 0

2 years ago

Read 2 more answers

What is -18+6+3r+13r=

kvasek [131]

If this is just an expression, then all you have to do is combine like terms, or groups of numbers and variables that have the same variable.

When simplified, you get the equation

-12+ 16r or

-18+6+3r+13r=16r-12

7 0

3 years ago

Alex

Answer:

The correct option is C ) 109.5°

Therefore,

$m\angle E=109.5\°$

Step-by-step explanation:

Given:

In Triangle DEF

d = 10

e = 18

f = 12

To Find

angle E = ?

Solution:

In Triangle DEF , Cosine Rule says

$\cos E=\dfrac{f^{2}+d^{2}-e^{2}}{2fd}$

Substituting the values we get

$\cos E=\dfrac{12^{2}+10^{2}-18^{2}}{2\times 12\times 10}$

$\cos E=\dfrac{-80}{240}=-\dfrac{1}{3}$

Therefore,

$\angle E=\cos^{-1}(-0.3333)$

$m\angle E=109.5\°$ ............As it is in Second Quadrant

Therefore,

$m\angle E=109.5\°$

4 0

3 years ago

What is the answer to this

SVEN [57.7K]

Answer:

D) 14.25

Step-by-step explanation:

It's basically saying when you use the ruler to measure something it will measure in 0.25. And will continue on to 0.50, 0.75, 1.00, 1.25, etc..

4 0

2 years ago