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Alex73 [517]
3 years ago
10

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 m

inutes. Find the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes.
Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Answer: 0.75

Step-by-step explanation:

Given : Interval for uniform distribution : [0 minute, 5 minutes]

The probability density function will be :-

f(x)=\dfrac{1}{5-0}=\dfrac{1}{5}=0.2\ \ ,\ 0

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

P(x>1.25)=\int^{5}_{1.25}f(x)\ dx\\\\=(0.2)[x]^{5}_{1.25}\\\\=(0.2)(5-1.25)=0.75

Hence,  the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes = 0.75

You might be interested in
Describe how y = f(x) is transformed by each of the
Lady bird [3.3K]

Using translation concepts, it is found that the transformations are as follows:

  • In y = -f(x÷2) - 5, the function is reflected over the x-axis, horizontally stretched by a factor of 2 and shifted 5 units down.
  • In y = f(-x) + 5, the function is reflected over the y-axis and shifted 5 units up.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In y = -f(x÷2)-5, we have that:

  • f(x) is multiplied by -1, hence it was reflected over the x-axis.
  • x is divided by two inside the domain, hence the function was horizontally stretched by a factor of 2.
  • 5 is subtracted from f(x), hence the function was shifted 5 units down.

In y = f(-x) + 5, we have that:

  • x is multiplied by -1 inside the domain, hence the function was reflected over the y-axis.
  • 5 is added to f(x), hence the function was shifted 5 units up.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

8 0
2 years ago
VERY URGENT! What should be the statement for the Step 4 of Manuel’s Proof?
inna [77]
I think its D, I found the key to ur test or smth else online, if the first questions is which statement about triangle is true the. It’s Also the longest answer out of all of them
7 0
3 years ago
Solve the equations below. Give exact solutions only. Show your work.
kolbaska11 [484]

Answer:

A. 5x² - 7 - 72 = 0

5x² - 79 = 0

x = ± √-4ac / 2a

x = ± √- 4 (5) (-79) / 2 (5)

x = ± √ 1580 / 10

x = ± 39.749/10

x = + 39.749/10 x = -39.749/10

= 3.9749 = - 3.9749

B. x² + 2x - 5 = 0

x = - b ± √b² - 4ac / 2a

= - 2 ± √2² - 4 (1) (-5) / 2 (1)

= - 2 ± √4 + 20 / 2

= - 2 ± √ 24 / 2

x = - 2 + 4.898 /2 x = - 2 - 4.898 / 2

= 2.898/2 = -6.898/2

= 1.449 = - 3.449

C. 3x² + 2x - 4 = 0

x = - b ± √b² - 4ac / 2a

= - 2 ± √2² - 4 (3) (-4) / 2 (3)

= - 2 ± √4 + 48 / 6

= - 2 ± √ 52 / 6

x = - 2 + 7.211 /6 x = - 2 - 7.211 / 6

= 5.211/6 = - 9.211 /6

= 0.869 = - 1.535

Hope that helps

Please to re-check answers

5 0
2 years ago
For Y=mx+b, what does the b stand for?
garik1379 [7]
The b stands for the y intercept ( where the graph cuts the y axis be sure to give me the brainliest answer
5 0
3 years ago
Read 2 more answers
Please help and explain thanks
RoseWind [281]

Answer: Woops I meant 2 cannot be repeated because x-values cannot be the same. So it is C.

A function CAN have the same y-values such as (3,4) and (6,4). But a function CANNOT have the same x-values like (7,10) and (7,1) because it would be a straight line.

5 0
3 years ago
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