Answer:
31.177 m
Step-by-step explanation:
So the formula of a hexagon is Area = (3√3 s^2)/ 2
s = side in this problem. A hexagon is made up of 6 equilateral triangles, so the distance from the center is equal to each of the sides.
For this problem, plug and chug. Plug your knowns into equation and you will find the answer.
s^2 = (2√3)^2 = 12
Area = (3√3 x 12)/2 = 31.1769 m
I am not sure how many decimals you are supposed to round, probably 3 so in that case 31.177 m
B, 190.
First you find the area of the circle (pi times radius squared) however, since you are given diameter, you must find radius by dividing diameter by 2. So, your radius is 9, then you plug it into the formula and you get 254.5. After multiplying this by 0.75 because you only want to find 75 percent of the area, you get the answer of 191m
Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:


Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:


Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:

More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:64 ounces
Step-by-step explanation:
average is 8 ounces per serving
The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)
Step-by-step explanation:
The point-slope form of a linear equation is:
, where
- m is the slope of the line
is a point on the line
Any point on the line is a solution for the equation of the line
The solution of an equation is the values of x and y which make the left hand side is equal to the right hand side
∵ The equation is y - 4 = 7(x - 6)
- Compare the equation by the point-slope form above
∴ m = 7
∴
= 6 and
= 4
- That means point (6 , 6) lies on the line
∴ Point (6 , 4) is a point on the line which represents the
given equation
∵ Any point on a line is a solution of the equation of that line
∴ (6 , 4) is a solution of the equation
The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)
Learn more:
You can learn more about the linear equations in brainly.com/question/1284310
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