The correct answer is Choice A.
If you plot the points on a graph, you will see that there is a slope of -1 and the y-intercept is (0, 3).
This matches the equation of y = -x + 3 in Choice A.
Answer: a= 0.0231
Step-by-step explanation:
n=8
p=0.75
q=1 - 0.75 = 0.25
(p=x)
p(5) = 8C5 (0.25)^5 (0.75)^8-5
p(5)= 0.0231
Or 2.31%
Answer:
The answer is:
Step-by-step explanation:
Given:
In △ABC:
m∠A=15°
a=10 and
b=11
To find:
c = ?
Solution:
We can use cosine rule here to find the value of third side c.
Formula for cosine rule:
Where
a is the side opposite to 
b is the side opposite to 
c is the side opposite to 
Putting all the values.
The answer is:
The central angle of a hexagon is 60°. Dividing it by two will give us 30°. The side opposite to 30° is 2 inches, multiplied by 2 is 4 inches. Thus, each side of the hexagon is 4 inches. Also, the apothem is 2sqrt(3). The area of the figure is calculated through the equation,
A = 0.5aP
where a is apothem and P is perimeter
Substituting,
A = 0.5(2sqrt3)(4 x 6) = 24sqrt3
The answer is approximately 41.57 in².
Answer:
Step-by-step explanation:
(a)
Total cost = (7 items * Cost per item) + Shipping fee = 7*6.5 + 8.5 = $54
(b)
Modelling the above equation with symbols:
c = s*6.5 + 8.5 = 6.5s + 8.5
(c)
For a total cost of 80$, c = 80:
80 = 6.5s + 8.5
Calculating, we get:
s = 11 items
Rachel ordered a total of 11 items
