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exis [7]
3 years ago
12

When Adrian runs the 400 meter dash, his finishing times are normally distributed with a mean of 77 seconds and a standard devia

tion of 3 seconds. What is the probability that in a given race, his finishing time will be faster than 75 seconds, to the nearest thousandth?
Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

0.749

Step-by-step explanation:

We start by calculating the z-score

Mathematically:

z-score = (x-mean)/SD

z-score = (75-77)/3 = -2/3 = -0.67

The probability we want to calculate is;

P( X > -0.67)

we can use the standard normal distribution table for this

Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth

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Consider the equation:-3+x=n. If n is positive, what must be true about x? Explain your answer? Include a possible value of x in
Julli [10]

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X must be a number more than 3

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3 years ago
What is the value of r in the equation -3(4r - 8)=-36
Marianna [84]

Answer:

r=5

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

                    -3*(4*r-8)-(-36)=0  

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

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Equation at the end of step  2  :

 (0 -  12 • (r - 2)) -  -36  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  60 - 12r  =   -12 • (r - 5)  

Equation at the end of step  4  :

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Step  5  :

Equations which are never true :

5.1      Solve :    -12   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

5.2      Solve  :    r-5 = 0  

Add  5  to both sides of the equation :  

                     r = 5  

One solution was found :

                  r = 5


brainliest pllzz thx god bless

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