The percentage of runners that have times less than 14.4 seconds that is P(x<14.4) is 0.0013499 which is approximately = 0.15%.
<h2>What is standard deviation?</h2>
The standard deviation of a data set is defined as how the data is dispersed in relation to the mean.
From the question,
The raw time given (X) = 14.4 sec
The mean value(m) = 18sec
The standard deviation(d) = 1.2 sec
Using the formula,
z = X - m/ d
z= 14.4- 18/1.2
z = -3.6/1.2
z= -3
Using a Z table to find the percentage equivalent of P(x<14.4) is 0.0013499 which is approximately = 0.15%.
Therefore, the percentage of runners that have times less than 14.4 seconds that is P(x<14.4) is 0.0013499 which is approximately = 0.15%.
Learn more about standard deviation here:
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Answer:
$105.00
Step-by-step explanation:
100 x 1.05 = $105.00
1. The formula for calculate the area of a cone is:
A=πr²+πrl (1)
A is the area (A=395.64 m²).
π=3.14
r is the radius (r=7).
l is the height.
2. The formula for calculate the slant height of the cone, is given by the Pythagorean theorem:
h²=l²+r²
h=√(l²+r²) (2)
h is the slant height.
3. We don't know the value of "l", so:
- We must rewrite the formula (1) and clear "l":
A=πr²+πrl
A-πr²=πrl
l=A-πr²/πr
- Now, we must susbtitute l=A-πr²/πr, into the formula (2). Then, we have:
h=√(l²+r²)
h=√[(A-πr²/πr)²+r²]
A=395.64 m²
π=3.14
r=7
4. When we substitute the values above into the formula h=√[(A-πr²/πr)²+r²], we obtain the slant height:
h=√[(A-πr²/πr)²+r²]
h=√170
h=13
<span>
What is the slant height?
The answer is: D.13</span>
Answer:
The student's mean score in the class is 80.6
Step-by-step explanation:
we know that
To find out the student's mean score in the class, multiply each score by its worth and adds the numbers
therefore
The student's mean score in the class is 80.6
