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Alecsey [184]
3 years ago
15

The mail arrival time to a department has a uniform distribution over 5 to 45 minutes. What is the probability that the mail arr

ival time is more than 25 minutes on a given day? Answer: (Round to 2 decimal places.)
Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer:

0.5

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X higher than x is given by the following formula.

P(X > x) = \frac{b - x}{b-a}

The mail arrival time to a department has a uniform distribution over 5 to 45 minutes.

This means that a = 5, b = 45.

What is the probability that the mail arrival time is more than 25 minutes on a given day?

P(X > 25) = \frac{45 - 25}{45 - 5} = 0.5

So the probability that the mail arrival time is more than 25 minutes on a given day is 0.5.

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200 x 150 = 30,000 to purchase
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35000 - 30000 is 5,000 capital gain
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15. What is the graph of the function rule? <br> y = |3x| - 1
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<h3>Answer:</h3>

D

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Graphs B and D open upward, but only graph D is translated downward (not upward, as in B).

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Find the rational zeros of the polynomial function, f(x)= 4x^3-8x^2-19x-7
Dima020 [189]

Answer:

The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  

Step-by-step explanation:

Given polynomial as :

f(x) = 4 x³ - 8 x² - 19 x - 7

Now the ration zero can be find as

\dfrac{\textrm factor of P}{\textrm factor Q} ,

where P is the constant term

And Q is the coefficient of the highest polynomial

So, From given polynomial ,  P = -7 , Q = 4

Now , \dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}

I.e  \dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q} = \frac{\pm 7 , \pm 1}{\pm 4 ,\pm 2,\pm 1 }

Or, The rational zero are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1

Hence The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  Answer

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The center of the circle, also a point where the diameter crosses, is (3, 6)

The diameter touches the circle at point (9, 10)

The displacement is (9 - 3, 10 - 6) = (6, 4)

This means that we move, +6 units along the x-axis and +4 units along the y-axis , from the center of the circle in order to reach point (9, 10)

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