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The mail arrival time to a department has a uniform distribution over 5 to 45 minutes. What is the probability that the mail arrival time is more than 25 minutes on a given day? Answer: (Round to 2 decimal places.)

Answers

Answer 1

Answer:

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.

$P(X > x) = (b - x)/(b-a)$

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?

$P(X > 25) = (45 - 25)/(45 - 5) = 0.5$

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

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Miko has a vast collection of books in her library. English books make up 3
8
of her collection.
5
7
of the remaining books are Chinese books and the rest are German books. How many books are there in her book collection if there are 75 Chinese books?

Answers

There are 168 books are there in her book collection if there are 75 Chinese books.

Given

Miko has a vast collection of books in her library.

English books = 3/8

Chinese books = 5/7.

Ratio proportion;

A ratio is a comparison of two or more numbers that indicates their quantities in relation to each other.

The proportion of the English books is 3/8, the remaining is:

$\rm Remaining\ books=1-(3)/(8)\n \n Remaining\ books=(8-3)/(8)\n\n Remaining\ books=(5)/(8)$

Then,

Chines books = ratio of Chinese book × ratio of remaining books × Total books

$\rm 75=(5)/(7)* (5)/(8)* Total \ books\n\nTotal \ books =(75 * 7* 8)/(5* 5)\n\nTotal \ books =3* 56\n\nTotal \ books=168\n$

Hence, there are 168 books are there in her book collection if there are 75 Chinese books.

To know more about proportion click the link given below.

brainly.com/question/12674321

Answer:

168 books

Step-by-step explanation:

Given

$English = (3)/(8)$

$Chinese = (5)/(7)$ of the remaining books

Required

Determine the total number of books

If the proportion of the English books is 3/8, the the remaining is:

$Remaining = 1 - English$

$Remaining = 1 - (3)/(8)$

Take LCM

$Remaining = (8 - 3)/(8)$

$Remaining = (5)/(8)$

From the question, we understand that:

$Chinese = (5)/(7)$ of the remaining books

This means:

$Chinese = (5)/(7) * (5)/(8)$

$Chinese = (5*5)/(7*8)$

$Chinese = (25)/(56)$

From the question, we also understand that 75 are Chinese books.

The total number of books can then be calculated using:

$Chinese = (25)/(56) * Total$

Substitute 75 for Chinese

$75 = (25)/(56) * Total$

Make Total the subject:

$Total = (56 * 75)/(25)$

$Total = (4200)/(25)$

$Total = 168$

HELP!!! find the value of x

Answers

Answer:

don't know

.....................

Answer:

x = 12

Step-by-step explanation:

Consider three orthogonal triangles (see picture)

1. The smallest triangle

2. The medium triangle

3. The big triangle that holds both triangles.

All are orthogonal (or right triangles) so you can use Pythagoras Theorem:

"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"

Use Pythagoras theorem on triangle 1.

$a^(2) = 3^(2) + 6^(2) = 45$

Now user Pythagoras on triangle 2.

$b^(2) = x^(2) + 6^(2) = x^(2) + 36$

Now use Pythagoras on triangle 3 (the big triangle).

$(3 + x )^(2) = a^(2) + b^(2)\nx^(2) + 6x + 9 = a^(2) + b^(2)$

Now replace the values for $a^(2)$ and $b^(2)$ from the two equations derived from triangle 1 and 2:

$x^(2) + 6x + 9 = 45 + x^(2) + 36$

The two $x^(2)$ get cancelled out, so:

$6x + 9 = 45 + 36\nx = 12$

TA DA!

Which side lengths form a right triangle ?

Answers

Answer:

Step-by-step explanation:

1^2 + 8^2 = c^2

1 + 64 = c^2

65 = c^2

√c^2 = √65

QUESTIONS 1,2,3 PLSSSS (PICTURE ATTACHED) :)

Answers

Answer:

A) 20/6

B)21/16

C)21/10 or 2.1

Step-by-step explanation:

EDIT!: someone else who probably has a better understanding than me answered this and I've been doing this all wrong lol please ignore this .w.

to find any probability just find the total and then divide that by the number of whatever you're checking for, eg. parkour backgrounds.

7+3+4+6 = 20 total backgrounds

6 parkour backgrounds.

20/6 is your answer.

6 + 10 + 5 = 21 total marbles

10 + 6 = 16 non yellow marbles

21/16 is your answer.

6 + 10 + 5 = 21 total marbles

10 blue marbles

21/10 or 2.1 is your answer.

I don’t really understand the first question, but the second should be 76.1% and the third should be 47.6%. Comment if you want me to explain it, i would really appreciate it if you marked me brainliest

A landlord hires a plumber to fix a burst pipe in a basement. Theplumber charges a one-time service charge of $80 plus an hourly fee.
The total cost the landlord had to pay the plumber for 3 hours of work
was $350.
Write an equation to represent
the situation:
Solve the equation to find the
plumber's hourly fee:
Type your equation here
Solve your equation here

Answers

Answer:

Step-by-step explanation:

80x3=240

350-240=110

Answer:

answerr above me

Step-by-step explanation:

Are the series absolutely, conditionally convergent, or divergent?

Answers

Step-by-step explanation:

∑ sin(nπ/4) / (n³ + 3n)

This is less than 1 / n⁴ for all n > 1. 1/n⁴ is a convergent p-series, so the lesser series also converges. │aₙ│converges for the same reason, so this is absolutely convergent.

∑ (-1)ⁿ⁺¹ ln(n + 1) / (n + 1)

This is an alternating series. bₙ is positive and decreasing, and lim(n→∞) bₙ = 0, so the series converges. Now we need to check if│aₙ│converges. Using comparison test, │aₙ│is greater than 1/n for all n ≥ 6. 1/n is a divergent p-series, so the greater series│aₙ│also diverges. So this is conditionally convergent.

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