Answer:
Step-by-step explanation:
The area to be resurfaced is the area of the
whole circle including garden and lanes minus
the area of the garden.
Area of a circle is (pi)r2
radius of garden is (1/2)diameter = 8 m
Garden area: (pi)82 = 64(pi) m2
Diameter of garden plus traffic lanes is
16 + 2(6) because we add 6 m to both sides
of the diameter of the garden.
Full diameter = 16+12 = 28 m
Full radius = 28/2 = 14 m
Full area: (pi)142 = 196(pi) m2
Area to be resurfaced:
196(pi) - 64(pi) = 132(pi) m2 ≅ 415 m2
Answer:

Step-by-step explanation:
Let c be the number.
We are asked to write an expression for given verbal description.
7 times the number c would be
.
Two less than seven times a number means 2 subtracted from
.
Two less than seven times a number c would be
.
Therefore, our required expression would be
.
Answer:
Mean = 15
Standard deviation = 1.94
Step-by-step explanation:
We are given the following information:
We treat favoring of building a police substation as a success.
P(Success) = 75% = 0.75
Then the number of citizens follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 20
We have to find the mean and the standard deviation.

Thus, the mean of favoring the substation is 15 and the standard deviation of favoring substation is 1.94
Answer:
x=16
Step-by-step explanation:
The opposite angles will always be supplementary
<K + < M = 180
47+ 7x+21 = 180
Combine like terms
7x+68 = 180
Subtract 68
7x = 180-68
7x = 112
Divide by 7
7x/7 = 116/7
x =16