Chebyshev’s Theorem establishes that at least 1 - 1/k² of the population lie among k standard deviations from the mean.
This means that for k = 2, 1 - 1/4 = 0.75. In other words, 75% of the total population would be the percentage of healthy adults with body temperatures that are within 2standard deviations of the mean.
The maximum value of that range would be simply μ + 2s, where μ is the mean and s the standard deviation. In the same way, the minimum value would be μ - 2s:
maximum = μ + 2s = 98.16˚F + 2*0.56˚F = 99.28˚F
minimum = μ - 2s = 98.16˚F - 2*0.56˚F = 97.04˚F
In summary, at least 75% of the amount of healthy adults have a body temperature within 2 standard deviations of 98.16˚F, that is to say, a body temperature between 97.04˚F and 99.28˚F.
An isosceles triangle is a triangle with 2 congruent sides. The congruent sides are called legs and the third side is called the base. So if 2 sides of a triangle have the same length, then we say that the triangle is isosceles.
Answer:
option D
2x − 7(−3x − 17) = 4
Step-by-step explanation:
Given in the question two equations
<h3>Equation 1</h3>
2x - 7y = 4
<h3>Equation 2</h3>
3x + y = -17
Rearranging equation 2 in terms of y
3x + y = -17
y = -17 - 3x
Put this value of y in Equation 1
2x - 7y = 4
2x - 7(-17 - 3x) = 4
So,
If you use the substitution method to solve the following system, new equation will be
<h3>2x - 7(- 3x - 17) = 4 </h3>
Answer:
Step-by-step explanation:
1. Not a function
2. Not a Function
3. Function
Using a graphing tool, we can see that the whole range of the function
is <span>y</span><span> ∈ [0,∞)
Now, in the interval
</span>
{x | –8 < x < 8}.
The range is
y<span>
∈ [0 ; 6.708) </span>