6th grade math please Answer me will Mark Brainliest

The lifetime of two light bulbs are modeled as independent and exponential random variables X and Y, with parameters lambda and

Scorpion4ik [409]

Answer:

$\bf h(x)=max(\lambda,\mu) e^{-max(\lambda,\mu) x}\;(x\geq0)$

Step-by-step explanation:

The PDF of X is

$\bf f(x)=\lambda e^{-\lambda x}\;(x\geq0)$

The PDF of Y is

$\bf g(x)=\mu e^{-\mu x}\;(x\geq0)$

The means of X and Y are respectively,

$\bf \displaystyle\frac{1}{\lambda}\;,\displaystyle\frac{1}{\mu}$

so we can see that the larger the parameter, the smaller the mean. Hence the PDF of Z = min(X, Y) is an exponential with the largest parameter of the two.

Therefore, the PDF of Z is

$\bf h(x)=max(\lambda,\mu) e^{-max(\lambda,\mu) x}\;(x\geq0)$

7 0

2 years ago

The sides of triangle ABC are 4.5feet 7.5 ft and 9 ft.The area is about 17 square feet. Explain how to use the are of triangle A

Nuetrik [128]

In order to get the area of a triangle using sides, the formula that we are going to use is Heron's formula. This is after from "Hero of Alexandria".
So here is the step by step process:
First, we calculate for s (half of the triangles perimeter) s = a+b+c divided by 2.
s = 6 + 10 + 12 / 2
s =28/2
s = 14
Now that we have the s, we can now calculate for the area.
A = square root of s(s-a)(s-b)(s-c)
A= square root of 14 x 8 x 4 x 2
A= square root of 896
A = 29.93
The area of triangle DEF is 29.93 square feet or 30 square feet. Hope this answer helps.

5 0

3 years ago

Read 2 more answers

What's the meaning of ode

shtirl [24]

An ode is a type of lyrical stanza. It is an elaborately structured poem praising or glorifying an event or individual, describing nature intellectually as nicely as emotionally. A basic ode is structured in three major parts: the strophe, the antistrophe, and the epode.

7 0

2 years ago

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Solve 5x+7 > 17.<br> {x1x<2}<br> O {XIX> 2}<br> O {xIx>-2}<br> O {x1x < -2}

fgiga [73]

Answer:

The answer is $x > 2$

Step-by-step explanation:

to solve this inequality:

$5x+7 > 17$

Put "-7" on both sides

$5x+10$

divide by 5 on both sides

your answer should be 2.

8 0

1 year ago

A random variable x follows a normal distribution with mean d and standard deviation o=2. It is known that x is less than 5 abou

Vaselesa [24]

Answer:

The mean of this distribution is approximately 3.96.

Step-by-step explanation:

Here's how to solve this problem using a normal distribution table.

Let $z$ be the

$\displaystyle z = \frac{x - \mu}{\sigma}$ .

In this question, $x = 5$ and $\sigma = 2$ . The equation becomes

$\displaystyle z = \frac{5 - \mu}{2}$ .

To solve for $\mu$ , the mean of this distribution, the only thing that needs to be found is the value of $z$ . Since

The problem stated that $P(X \le 5) = 69.85\% = 0.6985$ . Hence, $P(Z \le z) = 0.6985$ .

The problem is that the normal distribution tables list only the value of $P(0 \le Z \le z)$ for $z \ge 0$ . To estimate $z$ from $P(Z \le z) = 0.6985$ , it would be necessary to find the appropriate

Since $P(Z \le z) = 0.6985$ and is greater than $P(Z \le 0) = 0.50$ , $z > 0$ . As a result, $P(Z \le z)$ can be written as the sum of $P(Z < 0)$ and $P(0 \le Z \le z)$ . Besides, $P(Z < 0) = P(Z \le 0) = 0.50$ . As a result: