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ycow [4]
2 years ago
12

5. 4 friends have a $20 coupon to help pay for their dinner. The total bill

Mathematics
1 answer:
lubasha [3.4K]2 years ago
8 0
That’s easy what you have to do is you have to be the smartest person to do this
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Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay p
garik1379 [7]

Answer:

  • <em>m</em> = \frac{1}{20}
  • <em>μ</em> = 20
  • <em>σ </em>= 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable <em>X</em> follows an exponential distribution with parameter <em>m</em>.

The decay parameter is, <em>m</em>.

The probability distribution function of an Exponential distribution is:

f(x)=me^{-mx}\ ;\ m>0, x>0

<u>Given</u>: The decay parameter is, \frac{1}{20}

<em>X</em> is defined as the distance people are willing to commute in miles.

  • The decay parameter is <em>m</em> = \frac{1}{20}.
  • The mean of the distribution is: \mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20.
  • The standard deviation is: \sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20

Compute the probability that a person is willing to commute more than 25 miles as follows:

P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

7 0
3 years ago
Solve for x: 4 − (x + 2) −7<br> x −9
olga2289 [7]

Answer:

wjdjdjdn w w. r. fidjsns

8 0
3 years ago
Read 2 more answers
Amanda made $154 for 11 hours of work. At the same rate, how many hours would she have to work to make $252?
goldenfox [79]
For this question you can say: 
154/11 = 252/?
so ? is the hours she would work:
252*11/154 = 18 hours :)))
i hope this is helpful
have a nice day 
3 0
3 years ago
Someone help me please
Masteriza [31]

Answer:

(5,1)

Step-by-step explanation:

Hi there!

Midpoint = \displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ) where the two endpoints are (x_1,y_1) and (x_2,y_2)

Plug in the given information:

Midpoint = (5,3), Endpoint = (5,5)

(5,3)=\displaystyle (\frac{5+x_2}{2},\frac{5+y_2}{2} ) where  (x_2,y_2) is the other endpoint

Solve for x_2:

\displaystyle \frac{5+x_2}{2} =5\\\\5+x_2 =10\\x_2 =5

Solve for y_2:

\displaystyle\frac{5+y_2}{2}=3 \\\\{5+y_2}=6\\y_2=1

Therefore, the other endpoint (x_2,y_2) is (5,1).

I hope this helps!

4 0
3 years ago
Read 2 more answers
-5+22=r-4+3r+5<br> I need help please and thank u
Brilliant_brown [7]

Answer:

r = 4

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

-5 + 22 = r - 4 + 3r + 5

<u>Step 2: Solve for </u><em><u>r</u></em>

  1. Combine like terms:                    17 = 4r + 1
  2. Subtract 1 on both sides:             16 = 4r
  3. Divide 4 on both sides:               4 = r
  4. Rewrite:                                        r = 4

<u>Step 3: Check</u>

<em>Plug in r to verify it's a solution.</em>

  1. Substitute:                    -5 + 22 = 4 - 4 + 3(4) + 5
  2. Add/Subtract:               17 = 3(4) + 5
  3. Multiply:                        17 = 12 + 5
  4. Add:                              17 = 17
6 0
3 years ago
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