Answer:
gvbweiyfgay
Step-by-step explanation:
Answer:
Standard deviation of the population is 2.4
Step-by-step explanation:
Finishing times of 6 participants in 200 meter dash has been given as 27, 28, 27, 25, 24, 31.
We have to calculate the standard deviation of the population formed by these timings.
Formula of standard deviation is
where 
= standard deviation
= mean of the data
n = number of scores in the sample
Mean of given data = 
= 
= 30
Now 
= 2.236 ≈ 2.24
Therefore, standard deviation of the given data is 2.24
We are given the equation <span>an = (n^2/ sqrt(n^3+4n)) and asked to determine if the function is divergent or convergent. In this case, we find the limit of the function as n approaches infinity.
an = </span><span> (n^2/ sqrt(n^3+4n))
lim (n to infinity ) = infinity / infinty: ;indeterminate
Using L'hopitals rule, we derive
</span><span>lim (n to infinity ) = 2 n / 0.5* ( </span><span>n^3+4n) ^-0.5 * (3 n2 +4) : infinity / infinity
again, we derive
</span>lim (n to infinity ) = 2 (0.25) (( n^3+4n) ^-0.5))*(3 n2 +4) / 0.5* ( 6n + 4) :infinity / infinity
<span>
again,
</span>lim (n to infinity ) = 2 (0.25) (6n + 4) / 0.5* ( 6)* 0.5 <span>(( n^3+4n) ^-0.5))</span>
this goes on and the function is divergent
Answer:
4.356 × 10⁶ square feet or 4.356 × 10⁶ ft² of pizza per year
Step-by-step explanation:
Scientific notation is a means, method or way that is used in mathematics to write very large or small real numbers in a very short form or compressed form.
Scientific notation uses exponents or 10 raised to the power of a particular number to write huge or small real number in a decimal form.
In the question, we are asked to express the area in square feet as a scientific notation.
The area = 4,356,000 square feet of pizza per year
4,356,000 square feet of pizza per year in scientific notation =
4.356 × 10⁶ square feet of pizza per year.
