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blondinia [14]
3 years ago
12

Running times for 400 meters are Normally distributed for young men between 18 and 30 years of age with a mean of 93 seconds and

a standard deviation of 16 seconds. How fast does a man have to run to be in the top 5% of runners (quickest runner)?
Mathematics
1 answer:
kkurt [141]3 years ago
6 0

Answer: The running time should at least 119.32 seconds to be in the top 5% of runners.

Step-by-step explanation:

Let X= random variable that represents the running time of men between 18 and 30 years of age.

As per given, X is normally distrusted with mean \mu=93\text{ seconds} and standard deviation \sigma=16\text{ seconds}.

To find: x in top 5% i.e. we need to find x such that P(X<x)=95% or 0.95.

i.e. P(\dfrac{X-\mu}{\sigma}

P(Z

Since, z-value for 0.95 p-value ( one-tailed) =1.645

So,

Hence, the running time should at least 119.32 seconds to be in the top 5% of runners.

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ANSWER THIS QUESTION THANKS ✔✔
ladessa [460]

Answer:

Step-by-step explanation:

Any negative (when there is only one of them) will be the least. negatives are smaller than positives.

A fraction is less than a whole number. So far what you have is

___ ___ 3/15 , - 24/30

So now which is bigger? 11 or 11.5

Which would you rather have? 11 dollars or 11 dollars and 50 cents. 11.5>11

The correct order is 11.5    11    3/15   - 24/30

5 0
3 years ago
Read 2 more answers
3. The city council of a large city is considering a new law that prohibits talking on a cell phone while driving. A consumer ri
erik [133]

Answer:

The Subjects: The subject of this research are the drivers who were selected randomly to take part in the experiment

The Treatment: The treatment for this research will therefore be driving and also talking on a cell phone at the same time and also driving while not talking on the phone

The response variable for the experiment: The number of errors that will be made by the drivers as they drive on an obstacle course.

Step-by-step explanation:

6 0
3 years ago
Line segment AB has endpoints A(-1.5, 0) and B(4.5 8). Point C is on line segment AB located at (0, 2)
Pie

Answer:

The ratio of AC/CB=1/3

Step-by-step explanation:

We use the section formula:

(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

We substitute the point A(-1.5,0) and B(4.5,8).

We plug in the points to get:

(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n})

This is supposed to be equal to: (0,2).

(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n}) = (0,2)

We can equate, corresponding coordinates to find m and n.

\frac{4.5m - 1.5n}{m + n}  = 0

This implies that:

4.5m - 1.5n = 0

4.5m  = 1.5n

\frac{m}{n}  =  \frac{1.5}{4.5}

\frac{m}{n}  =  \frac{1}{3}

Therefore the ratio is m:n=1:3

4 0
3 years ago
Day, everything at a store is on sale. The store offers a 20% discount.
Nutka1998 [239]

Answer:

$14.40

Step-by-step explanation:

$18-20%=$14.40

4 0
2 years ago
One less than half a number is 12. What is the number
olga_2 [115]
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12

Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
6 0
3 years ago
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