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3 years ago

An ancient Greek was born on April 1st, 35 B.C. and died on April 1st, 35 A.D. How many years did he live?

Mathematics

2 answers:

lara [203]3 years ago

6 0

Answer:

70 years

Step-by-step explanation:

35 years before Christ and then another 35 years after: 35 + 35 = 70 years

yawa3891 [41]3 years ago

5 0

Answer:

the answer is 69

Step-by-step explanation:

35bc - 35ad = 69 years, because there is no year 0.

35+35 = 70

70-1=69

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3 years ago

An exponential random variable has a standard deviation of 16. Calculate The probability that it takes on a value < 11. Use 3

antiseptic1488 [7]

Answer:

$P(X$

And using the cdf we got:

$P(X$

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 the random variable of interest and we know that the distribution is given by:

$X \sim Exp(\lambda)$

We know the variance on this case given by :

$Var(X) = \frac{1}{\lambda^2}$

So then the deviation is given by:

$Sd(X) = \frac{1}{\sqrt{\lambda}}$

And if we solve for $\lambda$ we got:

$\lambda = (\frac{1}{16})^2 = \frac{1}{256}$

The cumulative distribution function for the exponential distribution is given by:

$F(x) = 1- e^{-\lambda x}$

Solution to the problem

And for this case we want to find this probability:

$P(X$

And using the cdf we got:

$P(X$

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3 years ago

What amount will an account have after 1.5 years if $ 8000 is invested at an annual rate of 9%: (i) Compounded weekly (ii) Compo

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3 years ago

C С 154 -Y Х 2 3 5 w 4 6 7 Z D

Sergio [31]

Answer:

m<1 = 26°

m<2 = 154°

m<3 = 26°

m<4 = 26°

m<5 = 154°

m<6 = 154°

m<7 = 26°

Step-by-step explanation:

What is required was not stated, however, let's find the value of every angle labelled in this diagram.

✔️m<1 = 180° - 154° (linear pair theorem)

m<1 = 26°

✔️m<2 = 154° (vertical angles theorem)

m<2 = 154°

✔️m<3 = m<1 (vertical angles theorem)

m<3 = 26° (substitution)

✔️m<4 = m<3 (alternate interior angles theorem)

m<4 = 26° (substitution)

✔️m<5 = m<2 (alternate interior angles theorem)

m<5 = 154° (substitution)

✔️m<6 = m<5 (vertical angles theorem)

m<6 = 154° (substitution)

✔️m<7 = m<4 (vertical angles theorem)

m<7 = 26° (substitution)

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