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Nuetrik [128]
3 years ago
6

1 1. y=ax+1 y=-x-9 441

Mathematics
1 answer:
alexira [117]3 years ago
5 0
I tried to graph it as clear as I can. I hope this helps

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The number of years a radio functions is exponentially distributed with parameter λ = 1 8 . If Jones buys a used radio, what is
blsea [12.9K]

Answer:

P(X>8)=e^{-1}

Step-by-step explanation:

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}, x>0

And 0 for other case. Let X the random variable that represent "The number of years a radio functions" and we know that the distribution is given by:

X \sim Exp(\lambda=\frac{1}{8})

We can assume that the random variable t represent the number of years that the radio is already here. So the interest is find this probability:

P(X>8|X>t)

We have an important property on the exponential distribution called "Memoryless" property and says this:

P(X>a+t| X>t)=P(X>a)

Where a represent a shift and t the time of interest.

On this case then P(X>8|X>t)=P(X>8+t|X>t)=P(X>8)

We can use the definition of the density function and find this probability:

P(X>8)=\int_{8}^{\infty} \frac{1}{8}e^{-\frac{1}{8}x}dx

=\frac{1}{8} \int_{8}^{\infty} e^{-\frac{1}{8}x}dx

=[lim_{x\to\infty} (-e^{-\frac{1}{8}x})+e^{-1}]=0+e^{-1}=e^{-1}

8 0
3 years ago
A dog chases a squirrel. The dog is originally 200 feet away from the squirrel. The dog’s speed is 150 feet per minute. The squi
puteri [66]
Set up the equation as follows:

150x = 100x + 200

150x represents the dog's speed, 100x represents the squirrel's speed, and 200 represents the distance the squirrel has on the dog. x is the amount of minutes that elapse.

Subtract 100x from both sides.

50x = 200

Divide both sides by 50.

x = 4

It will take the dog 4 minutes to catch up with the squirrel.
5 0
3 years ago
So what is the answer?
Dimas [21]
Answer for what?????
4 0
3 years ago
7 increased by a number w
amid [387]

Answer:

The answer is

w + 7

8 0
3 years ago
Read 2 more answers
Please help with all nor one otherwise you will be reported . Show and explain all your work
Vitek1552 [10]
37. Volume: l×w×h
38. Volume: (pi)r^2×h
39. Volume: (1/2b×h)×l

37. l=4
w=4
h=6

4×4×6
16×6= 96ft^3

38. (pi)=3.14
r=5
h=12

(3.14×5^2)×12
(3.14×25)×12
78.5×12= 942in^3

38. b=4
h=3
l=8

(1/2×3×4)×8
(1/2×12)×8
6×8= 48
7 0
3 years ago
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