PLEASE DO NOT BE NONSENSE
2 answers:
You might be interested in
6. 
⇒ Ten to the third power
7.
⇒ Ten to the fifth power
7.
Answer: The base is 17 meters long, and the height is 12 meters.
Step-by-step explanation:
The area of a triangle is:
A = b*h/2
where:
b = base
h = height.
For this particular triangle, we have that:
b = 5m + h
A = 102 m^2 = b*h/2
We can replace the first equation into the second one:
b*h/2 = 102 m^2
(5m + h)*h/2 = 102 m^2
(5m + h)*h = 2*102 m^2 = 204m^2
5m*h + h^2 = 204m^2
We can rewrite this as a quadratic equation:
h^2 + 5m*h - 204m^2 = 0
The solutions are given by the Bhaskara formula, the solutions are:
Then the two solutions are:
h = (-5m - 29m)/2 = -17 m
This is a negative height, that is not really defined, so this will be discarded.
The other solution is:
h = (-5m + 29m)/2 = 12m
This is positive, so this is the option we will use.
Knowing h, we can find the value of b.
b = 5m + h = 5m + 12m = 17m
Then the area is:
A = 12m*17m/2 = 102m^2
Answer:
More than 88.889% of the values will fall between 100 and 124 for the data set that has a mean of 112 and a standard deviation of 4.
Step-by-step explanation:
The Chebyshev's theorem states that the probability of any random variable ''X'' assuming a value between a range of ''k times'' the standard deviation is at least
We can write mathematically this as :
P( μ - kσ < X < μ + kσ) (I)
Where μ is the mean and σ is the standard deviation.
In this exercise :
μ = 112
σ = 4
If we replace this values in the equation (I) :
The percent of the values falling between 100 and 124 can be written as :
(II)
This probability must be equal to (III)
Therefore if we work with (II) and (III) ⇒
(II) = (III) ⇒
⇒
⇒ In any of the equations we find that
Finally, we can write that
≅ 88.889%
According to Chebyshev's theorem, more than 88.889% of the values will fall between 100 and 124 for the data set.