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3 years ago

A teacher needs 256 lengths of string cut to 40 cm each.if balls of string are 30 cm long how many balls will be needed

Mathematics

1 answer:

Elis [28]3 years ago

7 0

256 * 40 = 10,240 cm needed

so if the balls are 30 cm each then

10, 240 divided by 30 = 341.3

so the teacher will need 342 balls.

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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

3 years ago

Which equation shows that 6 is a factor of 18

liubo4ka [24]

The answer to your question is 3

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3 years ago

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A ship has a 15-foot-tall mast with a 37.13-foot-long rope that is strung from the top of the mast to the ship's deck. What is t

jeka57 [31]

Answer:

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3 years ago

1. Find the Product of 8.02 and 6.1 and correct your answer to the highest whole number. 2. How many pieces of ribbon each 6cm l

Alja [10]

Answer:

1. 14

2.400 pieces

Step-by-step explanation:

1. 8.02+6.1= 14.12, since its less than 14.5 you must round down to 14

2. remember 1 meter is 100 centimeters, thus to find how many centimeters are in 24 m multiply 100 by 24. this will get 2400 centimeters

divide 2400/6 and you will get 400

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3 years ago

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What is 0.514 written as a power of 10? 514 x 102 514 x 103 514 x 10-3

vovikov84 [41]

$0\underbrace{.514}_{3\to}=514\cdot10^{-3}$

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3 years ago

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