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3 years ago

65. Given a segment with endpoints A and C and midpoint. If A(5, 8), and M(-3,2). Find the

Mathematics

1 answer:

aniked [119]3 years ago

8 0

Answer:

C(-11,-4)

Step-by-step explanation:

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Under average driving conditions, the life lengths of automobile tires of a certain brand are found to follow an exponential dis

wariber [46]

Answer:

a) $P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368$

b) $P(X>30000|X>15000)=P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607$

Step-by-step explanation:

Previous concepts

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 "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:

$X \sim Exp(\lambda=\frac{1}{30000})$

The cumulative distribution function is given by:

$F(X) = 1- e^{-\frac{x}{\mu}}$

Part a

We want to find this probability:

$P(X>30000)$ and for this case we can use the cumulative distribution function to find it like this:

$P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368$

Part b

For this case w want to find this probability

$P(X>30000|X>15000)$

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

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

On this case if we use this property we have this: $P(X>30000|X>15000)=P(X>15000+15000|X>15000)=P(X>15000)$

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

$P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607$

7 0

3 years ago

Stefanie has 18 grams of 20% sugar syrup and John has 30 grams of 25% sugar syrup. If Stefanie and John mix the syrups together,

Alexxandr [17]

Answer: 48

Step-by-step explanation:

3 0

3 years ago

What is 9x+7y=-18 using substitution

wlad13 [49]

7y=-9x-18

that is all I can do

4 0

3 years ago

Say that you (or your parents) are purchasing a new car for $22,358. The sales tax is 6.45%, the down payment is 10% of the tota

Nastasia [14]

9514 1404 393

Answer:

(a) $133.88

Step-by-step explanation:

The addition of tax multiplies the purchase price by 1+6.45% = 1.0645. The payment of the down payment means the loan amount will be only 1-10% = 0.90 times the amount with tax. So, the loan amount is ...

$22,359(1.0645)(0.90) = $21,420.08

The loan is a secured loan (secured by the vehicle). So, the interest charged is that for a poor credit rating: 7.5%.

One month's interest is ...

I = Prt . . . . . interest on principal P at rate r for t years (1 mo = 1/12 yr)

I = $21,420.08(0.075)(1/12) = $133.88

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3 years ago

Which of the following expressions are equivalent to 6-3?<br> DONE

DanielleElmas [232]

Answer: look at the photo

Step-by-step explanation:

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4 years ago