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4 years ago

Please answer quick I have a lot of work to do :C

Mathematics

1 answer:

NeTakaya4 years ago

4 0

Answer:

Step-by-step explanation:

I hope its correct! :)

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Draw a cone with a height of 9 in. and a diameter of 4 in. Find the volume. Round to the nearest tenth

finlep [7]

Answer:

150.72

Step-by-step explanation: To do this you times the radius by squared then by pi, then fraction your height by the fraction 1/3.

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3 years ago

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 1/4 of 9

miv72 [106K]

Answer:

2.25

Step-by-step explanation:

4 goes into 9 2 times with one left over 1 divided by 4 is 0.25

8 0

3 years ago

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Zap has coordinates z(-1,5) a(1,3) and p(-2,4) a translaton maps point z to z(1,1) find the coordinates of a and p under this tr

vaieri [72.5K]

If you have moved z from -1 to +1, you have moved it +2 (2 to the right). If you move z from 5 to 1 you have moved it down 4. So your rule here in coordinate form is (+2, -4). Add 2 to each of the other x coordinates and subtract 4 from each of the other y coordinates to get the new points. A(3, -1) P(0, 0) Z(1, 1)

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3 years ago

The acute angle of the right angle triangle are in the ratio of 4:5

Fiesta28 [93]

Answer:

Since the triangle is a right angled triangle, one of the angles is 90°. In the right angled triangle, the acute angles are in the ratio 4:5. Let the measures of the acute angles of the triangle in degrees be 4k and 5k, where k is a constant.

Step-by-step explanation:

hope it helps.

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3 years ago

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