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3 years ago

11

Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ=0

.5. What is (a) the probability that a repair time exceeds 9 hours?

1 answer:

barxatty [35]3 years ago

6 0

Answer: 0.01111

Step-by-step explanation: find attached picture for explanation

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Convert the angle - 3 radians to degrees, rounding to the nearest 10th

dlinn [17]

Answer:

171.9 degrees.

Step-by-step explanation:

The factor is 180/π.

So 3 radians = (3*180)/π

= 171.9 degrees.

3 0

2 years ago

Rewrite in simplest terms: -(2c + 8) + 8c

garik1379 [7]

Answer:

$6c-8$

Step-by-step explanation:

We have:

$-(2c+8)+8c=$

$-2c-8+8c=\\$

$6c - 8$

6 0

2 years ago

An arithmetic sequence has this recursive formula:

horsena [70]

Answer:

$\text{\bf{C.}}\quad a_n=4+(n-1)(-7)$

Step-by-step explanation:

An arithmetic sequence that is described by the explicit formula ...

$a_n=a_1+(n-1)d$

can also be described by the recursive formula ...

$\left \{\begin{array}{l}a_1=\text{(first term)}&a_n=a_{n-1}+d&\end{array}\right.$

Matching parts of the formulas, we see that a1 = 4, d = -7. Putting these values into the explicit formula gives ...

$a_n=4+(n-1)(-7)$

4 0

2 years ago

| 5t-1 |=6 <br><br> Show all work

kipiarov [429]

Answer:

t = 1.4

Step-by-step explanation:

If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.

The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.

5 0

2 years ago

Read 2 more answers

If cosθ=2/3 find cscθ using identities. This is in quad. 1.

laiz [17]

Step-by-step explanation:

cos θ = 2/3

$\quad \twoheadrightarrow\sf {cos \; \theta = \dfrac{Base}{Hypotenuse} } \\$

Hence, base = 2 units and hypotenuse = 3 units.

$\quad \twoheadrightarrow\sf { H^2 = B^2 + P^2} \\$

$\quad \twoheadrightarrow\sf { P^2 = H^2 - B^2} \\$

$\quad \twoheadrightarrow\sf { P^2 = (3)^2 - (2)^2} \\$

$\quad \twoheadrightarrow\sf { P^2 = 9- 4} \\$

$\quad \twoheadrightarrow\bf { P = \sqrt{5}} \\$

Now, we know that :

$\quad \twoheadrightarrow\sf {cosec \; \theta = \dfrac{Hypotenuse}{Perpendicular} } \\$

$\quad \twoheadrightarrow\bf{cosec \; \theta = \dfrac{3}{\sqrt{5}} } \\$

Therefore, the required answer is 3/√5.

4 0

1 year ago