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Mariana [72]
3 years ago
6

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 9 m

inutes. Find the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes.
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

Answer:

P(greater than 1.25 minutes) = 0.8611 (Approx)

Step-by-step explanation:

Given:

Waiting time = 0 - 9 minutes

Find:

Probability that selected passenger has a waiting time greater than 1.25 minutes.

Computation:

⇒ The probability that a randomly selected passenger has a waiting time greater than 1.25 minutes =

⇒  P(greater than 1.25 minutes) = [9-1.25] / 9

⇒ P(greater than 1.25 minutes) = [7.75] / 9

⇒ P(greater than 1.25 minutes) = 0.8611 (Approx)

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Solve x2 – 12x + 59 = 0 for x.
mr_godi [17]
59 is a tough bird to deal with; its only factors are 1 and 59.

Thus, forget about factoring.  Instead, use the quadratic formula, or solve the equation by completing the square.

Please note:  x2 is ambiguous.  Please write x^2 to indicate "the square of 2."

Here you have 1x^2 - 12x + 59 = 0, for which a=1, b=-12 and c=59.

Use the quadratic formula:  x=[-b plus or minus sqrt(b^2-4ac)] / (2a)

to find the two roots.  Notice that the "discriminant" b^2 - 4ac will be negative, meaning that your two roots will be "complex."
3 0
3 years ago
bill takes a lone of 9,000,00. at 8% simple interest rate for 6 years, how much interest will he pay after 2 years? how much int
skelet666 [1.2K]

Answer:

5,760,000

Step-by-step explanation:

9000000 x 8 x (6+2)/100=90000 x 8 x 8

                                         =5,760,000

I added 2 to 6 because of the additional 2 years.

4 0
3 years ago
nine more than twice a number is less than negative fifteen. solve the inequality for the unknown number.
pentagon [3]

Answer: x<-12

Step-by-step explanation:

let x= the number

2x+9<-15

    2x<-24

      x<-12

Hope this helps!! :)

You may ask any further questions

6 0
3 years ago
What is an equation of the line that passes through the points (-4, -1) and (2, 8)?
aev [14]

Answer:

Gggyu

Step-by-step explanation:

Hbyuk

6 0
3 years ago
Question 20 not yet answered marked out of 1.00 not flaggedflag question question text luna created a trash can in the shape of
Alex Ar [27]

Consider the triangle with sides a=1.6, b=2.3 and c=1.2 feet. You can use cosine theorem twice to find two unknown angles:

1.

b^2=a^2+c^2-2ac\cos \angle B,\\ (2.3)^2=(1.6)^2+(1.2)^2-2\cdot 1.6\cdot 1.2\cos \angle B,\\ 5.29=2.56+1.44-3.84\cos \angle B,\\ 3.84\cos \angle B=4-5.29=-1.29,\\\cos \angle B=-\dfrac{1.29}{3.84} =-0.336

Then you can conclude that ∠B is obtuse (because \cos \angle B) and m∠B=110°.

2.

c^2=a^2+b^2-2ab\cos \angle C,\\ (1.2)^2=(1.6)^2+(2.3)^2-2\cdot 1.6\cdot 2.3\cos \angle C,\\ 1.44=2.56+5.29-7.36\cos \angle C,\\ 7.36\cos \angle C=7.85-1.44=6.41,\\\cos \angle C=\dfrac{6.41}{7.36} =0.871.

Then you can conclude that ∠C is acute (because \cos \angle C>0) and m∠C=29°.

3. m∠A+m∠B+m∠C=180°, then m∠A=180°-110°-29°=41°.

Answer: m∠A=41° (∠A is opposite to the side a=1.6), m∠B=110° (∠B is opposite to the side b=2.3) and m∠C=29° (∠C is opposite to the side c=1.2)

3 0
3 years ago
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