True or false? Postulates are statements that are accepted without question or justification

Mathematics

2 answers:

ale4655 [162]2 years ago

6 0

True, as a postulate is the assumption of existence.

umka2103 [35]2 years ago

3 0

Yes, I believe that's true.

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A car is driving at 70 kilometers per hour. How far, in meters, does it travel in 5 seconds?

notka56 [123]

Answer:

97.2 m

Step-by-step explanation:

$\frac{70 km}{1 h}$ = $\frac{70000 m}{3600 s}$ = 19.4 m/s

Distance = speed x time = 19.4 m/s x 5 s = 97.2 m

8 0

2 years ago

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 $(\lambda t)$

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,

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

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 $(K, \lambda)$ .