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marusya05 [52]
3 years ago
7

Help!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
kiruha [24]3 years ago
6 0
The answer is C! A few are right but C is the best answer like it says
Salsk061 [2.6K]3 years ago
3 0
C IS THE BEST ANSWER HOPE IT HELPS!!
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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

5 0
3 years ago
An equilaterial triangle has side lengths of 11 cm. The triangle is enlarged using a scale factor of 4. What is the length of on
skad [1K]
11cm x 4
= 44cm........
6 0
3 years ago
sunlight can penetrate a certain Lake to the depth of fifteen meters the lake is five and a half times deeper than the depth of
gizmo_the_mogwai [7]
Fifteen times Fifteen point Five equals 82.2 so the answer would be 82.2 Meters

4 0
3 years ago
WILL GIVE BRAINLIEST: If the graph of 2x+3y − 6=0 is perpendicular to the graph of ax − 3y=5. What is the value of a?
Ilya [14]

Answer:

a = \frac{9}{2}

Step-by-step explanation:

To find the value of a, find the Slope of both the equations.

For lines to be perpendicular to each other    m_{1}m_{2}  = - 1

For line 1:

2x + 3y − 6 = 0 represent the line in y=mx +c form

3y = -2x + 6

y = \frac{-2}{3} x + \frac{6}{3}

y = \frac{-2}{3} x + 2

m_{1} = \frac{-2}{3}

For line 2:

ax - 3y = 5

ax = 5 + 3y

ax - 5 = 3y

y = \frac{ax}{3} - \frac{5}{3}

m_{2} = \frac{a}{3}

Apply the condition of perpendicularity:

\frac{-2}{3} * \frac{a}{3} = - 1

\frac{2a}{9} = 1

a = \frac{9}{2}

7 0
3 years ago
How many solutions does the nonlinear system of equations graphed below
yan [13]

Answer:

D. zero

Step-by-step explanation:

Since the graphs do not intersect, there are zero solutions.

6 0
3 years ago
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