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3 years ago

Yo fab bbbibvuv gffcfsrth frxrctvybuni hgde

Mathematics

2 answers:

alex41 [277]3 years ago

6 0

Great dude. i like the question

goldenfox [79]3 years ago

5 0

Answer:NIce

Step-by-step explanation:

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The probability density function of the time you arrive at a terminal (in minutes after 8:00 A.M.) is f(x) = 0.1 exp(−0.1x) for

Blababa [14]

$f_X(x)=\begin{cases}0.1e^{-0.1x}&\text{for }x>0\\0&\text{otherwise}\end{cases}$

a. 9:00 AM is the 60 minute mark:

$f_X(60)=0.1e^{-0.1\cdot60}\approx0.000248$

b. 8:15 and 8:30 AM are the 15 and 30 minute marks, respectively. The probability of arriving at some point between them is

$\displaystyle\int_{15}^{30}f_X(x)\,\mathrm dx\approx0.173$

c. The probability of arriving on any given day before 8:40 AM (the 40 minute mark) is

$\displaystyle\int_0^{40}f_X(x)\,\mathrm dx\approx0.982$

The probability of doing so for at least 2 of 5 days is

$\displaystyle\sum_{n=2}^5\binom5n(0.982)^n(1-0.982)^{5-n}\approx1$

i.e. you're virtually guaranteed to arrive within the first 40 minutes at least twice.

d. Integrate the PDF to obtain the CDF:

$F_X(x)=\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt=\begin{cases}0&\text{for }x$

Then the desired probability is

$F_X(30)-F_X(15)\approx0.950-0.777=0.173$

7 0

3 years ago

How would I graph a line that contains the point (6,5) and has a slope of - 2/3 ?

ddd [48]

Answer:

y=-2/3x+9

Step-by-step explanation:

Use point-slope formula:

y-y1 = m(x-x1)

y-5=-2/3(x-6)

y-5=-2/3x+4

y=-2/3x+9

You would then proceed to graphing this equation, as it is in slope intercept form now.

HTH :)

6 0

3 years ago

Read 2 more answers

Pat’s Potato Farm grew 490 pounds of potatoes. Pat delivered 3/7 of the potatoes to a vegetable stand. The owner of the vegetabl

madam [21]

Answer:

Step-by-step explanation:

I first multiplied 490 by 3/7

giving me 1470/7

I divide 1470 by 7 giving me 210

As I got 210

I multiplied 210 with 2 and got 410/3

I divided 410 by 3, getting 140.

It then said half of what was delivered was put into 5 pound bags, so

140× 1/2 or 140÷2 is 70

70 divided by 5 is 14

They made 14 5-pound bags.

3 0

3 years ago

Plz help this is my last math question I need help with!

charle [14.2K]

Answer:

He buys 8 desks and 6 chairs can i have branliest

Step-by-step explanation:

Set up a system of equations

desks = y chairs = x

x+y=14

125x + 515y = 4870

Eliminate,

-125x -125y = -1750

125x + 515 y = 4870

390 y = 3120

y = 8

substitute in 8

x + 8 = 14

x = 6

8 0

3 years ago

Read 2 more answers

Find the equation of the line through the points (-9,6) and (1,27).

bulgar [2K]

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m represents slope

c represents y intercept

The formula for calculating slope is expressed as

m = (y2 - y1)/(x2 - x1)

From the information given, the line passes through an initial point of (- 9, 6) and (1, 27). This means that

x1 = - 9, y1 = 6

x2 = 1, y2 = 27

By substituting these values into the slope formula, we have

m = (27 - 6)/(1 - - 9) = 21/(1 + 9) = 21/10

We would find the y intercept by substituting m = 21/10, x = - 9 and y = 6 into the slope intercept equation. We have

6 = 21/10 * - 9 + c = - 189/10 + c

c = 6 + 189/10 = 249/10

By substituting m = 21/10 and c = 249/10 into the slope intercept equation, the equation of the line is

y = 21x/10 + 249/10

In decimal form, the equation of the line is

y = 2.1x + 24.9

3 0

1 year ago

Read 2 more answers