ANSWER
• Circumference: 18.84 ft
,
• Area: 28.26 ft²
EXPLANATION
The circumference of a circle of radius r is,

In this case, the radius is r = 3 ft and we have to use 3.14 for π,

Hence, the circumference of this circle is 18.84 feet.
The area of a circle of radius r is,

In this case, r = 3 ft and π = 3.14,

Hence, the area of this circle is 28.26 square feet.
" · " - product
" - " - difference
13 · (8 - (-10)) = 13 · (8 + 10) = 13 · 18 = 234
Answer:
20,158 cases
Step-by-step explanation:
Let
represent year 2010.
We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.
Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.
We can represent this information in an exponential decay function as:


To find number of cases in 2020, we will substitute
in our decay function as:



Therefore, 20,158 cases will be reported in 2020.
Mean of the distribution = u = 222
Standard Deviation = s = 16
We have to find the probability that a value lies between 190 and 230.
First we need to convert these data values to z score.

For x = 190,

For x = 230

So, we have to find the percentage of values lying between z score of -2 and 0.5
P( -2 < z < 0.5) = P(0.5) - P(-2)
From standard z table, we can find and use these values.
P(-2 < x < 0.5 ) = 0.6915 - 0.0228 = 0.6687
Thus, there is 0.6887 probability that the data value will lie between 190 and 230 for the given distribution.