Answer:
1.
circumference=diameter ×pi
=(29×2)× pi
=59×pi
area= pie × radius²
=pi×29²
=841pi
2.
circumference =pi×16.5
area=pi×8.25²
3.
153.94÷pi
radius=square root of 49.00062388
=7.000044563
times by 2
=14.00008913
4.
28.27÷pi
8.998620482=diameter
divide by two to find radius
4.499310241
then square
20.24379265
then times that by pi
=63.59775026
Given:
A line has a slope = -9
The line passing through the point (-4 , -2)
the general form of the equation of the line in point - slope form is :

Where: m is the slope, and ( h,k) is the point
So,

So, the equation of the line will be:

The answer is option C. y + 2 = -9 ( x + 4 )

Substitute the given value of x into the first equation

To solve for x distribute 3 though the parentheses

Collect like terms

Move the constant to the right-hand side and change its sign

Add the numbers

Divide both sides of the equation by 13

Now, Substitute the given value of x into the second equation

Plug in the value of x in the equation i.e. 1

Any number multiplied by 1 results in number itself

Calculate the difference

The possible solution of the system is the ordered pair (x,y)

Answer:
0.0818.
Step-by-step explanation:
This question can be solved using the binomial theorem because the probability of success is fixed.
Total adults = n = 20
Required attempts = r = 12
Probability of success = p = 3/4 = 0.46
Binomial Theorem formula:
P(X=r) = nCr * p^r * (1-p)^(n-r).
Substituting the values:
P(X=12) = 20C12 * 0.46^12 * (1-0.46)^8
P(X=12) = 125970 * 0.46^12 * (0.54)^8 = 0.0818 (to the nearest 3 significant figures).
So the probability that exactly 12 people use their smart phones in meetings or classes out of 20 is 0.0818!!!