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artcher [175]
3 years ago
9

mrs. escalante was riding a bicycle on a bike path. After riding 2/3 of a mile, she discovered that she still needed to travel 3

/4 of a mile to reach the end of the path. How long is the bike path?
Mathematics
1 answer:
wlad13 [49]3 years ago
8 0
He bike path is 1 and 5/12 miles long.
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The sum of two numbers is six, and the difference is 10. Find the numbers.
pashok25 [27]
First no. = x 
Second no. = y

Equation Formation
x + y = 6..........equation(i)
x - y = 10...........equation (ii)


x = 6 - y
6 - y - y = 10
6 - 2 y = 10
-2 y = 10 -6
-2 y = 4
   y = -2

x = 6 + 2
x = 8

Answer = 8 , -2 

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87.6

Step-by-step explanation:

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Answer:

C

Step-by-step explanation:

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3 years ago
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The annual rainfall (in inches) in a certain region is normally distributed with = 40 and = 4. What is the probability that star
sdas [7]

Answer:

0.93970

Step-by-step explanation:

Solution:-

- Denote a random variable "X" The annual rainfall (in inches) in a certain region . The random variable follows a normal distribution with parameters mean ( μ ) and standard deviation ( σ ) as follows:

                          X ~ Norm ( μ , σ^2 )

                          X ~ Norm ( 40 , 4^2 ).

- The probability that it rains more than 50 inches in that certain region is defined by:

                          P ( X > 50 )

- We will standardize our test value and compute the Z-score:

                          P ( Z > ( x - μ )  / σ )

Where, x : The test value

                          P (  Z > ( 50 - 40 )  / 4 )

                          P (  Z > 2.5 )

- Then use the Z-standardize tables for the following probability:

                          P ( Z < 2.5 ) = 0.0062

Therefore,          P ( X > 50 ) = 0.0062

- The probability that it rains in a certain region above 50 inches annually. is defined by:

                           q = 0.0062 ,

- The probability that it rains in a certain region rains below 50 inches annually. is defined by:

                           1 - q = 0.9938

                           n = 10 years   ..... Sample of n years taken

- The random variable "Y" follows binomial distribution for the number of years t it takes to rain over 50 inches.

                          Y ~ Bin ( 0.9938 , 0.0062 )

- The probability that it takes t = 10 years for it to rain:

                         =  10C10* ( 0.9938 )^10 * ( 0.0062 )^0

                         = ( 0.9938 )^10

                         = 0.93970

3 0
3 years ago
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