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Zina [86]
4 years ago
11

Multiply. 5⋅2/3 Enter your answer as an improper fraction, in simplified form, in the box

Mathematics
2 answers:
kodGreya [7K]4 years ago
7 0
The answer is 10/3, the whole number form of it is 3 1/3 :)
Nikitich [7]4 years ago
6 0

Answer:

\frac{10}{3}

Step-by-step explanation:

We are given that an expression

5.\frac{2}{3}

We have to multiply and find answer in improper fraction in simplified form

In order to find the answer we will multiply nominator by nominator  denominator remain same.

5\cdot \frac{2}{3}=\frac{10}{3}

It is improper fraction and simplified from .

Answer:\frac{10}{3}

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Cosec2A + cot2A = cotA​

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3 years ago
A scale drawing of a door is 2 cm high. If the scale is 1 cm = 4 meters, what is the actual height of the door?
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3 years ago
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The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.
Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}

The probability for exponential distribution is given as:

P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}

a) P( time between the next two calls will be 54 seconds or​ less)

P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

b) P(time between the next two calls will be greater than 118.5 ​seconds)

p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

6 0
4 years ago
What is the volume, in cubic M, of a cylinder with a height of 13M and a base radius of 3M, to the nearest 10th Place?
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Answer:

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Mathematically, we have the volume of a cylinder calculated as follows;

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So, we have the volume as;

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3 years ago
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