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2 years ago

Can some one help pleassse

Mathematics

2 answers:

mafiozo [28]2 years ago

5 0

Answer:

For the first one, it is

1. C: 3

2.B, 7

3. D, 2

4. A, 0.5

Step-by-step explanation:

DIA [1.3K]2 years ago

4 0

A=b
B=b
C=c
B=b
You welcome :)

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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

2 years ago

To estimate the mean score μ μ of those who took the Medical College Admission Test on your campus, you will obtain the scores o

Juliette [100K]

Answer: 0.4667

Step-by-step explanation:

According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean ( $\mu$ ).

Here , margin of error = 3s , where s is standard deviation.

As per given , we have want our sample mean $\overline{x}$ to estimate μ μ with an error of no more than 1.4 point in either direction.

If 99.7% of all samples give an $\overline{x}$ within 1.4 , it means that

$3s=1.4$

Divide boths ides by 3 , we get

$s=0.466666666667\approx0.4667$

Hence, So $\overline{x}$ must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an $\overline{x}$ within 1.4 point of μ .

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3 years ago

Which statement is true about the product square root of 2(4square root of 2 + 2square root of 2)?

Lera25 [3.4K]

I think the answer to your question is It is rational and equal to 12. Hope this helps!

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2 years ago

Trey is solving his equation, and the last line of his work is "-2 = 2". What does this mean?

oksian1 [2.3K]

Answer:

it means that his equation is not true.

Step-by-step explanation:

-2=2 is obviously incorrect, so we must assume that the equation isn't true.

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2 years ago

Which phrase matches the expression p+7

dangina [55]

Answer:

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3 years ago

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