Divide the figure into 2 rectangles. One being 12in x 13in and one being 18in x 7in. Find the area of each rectangle.
12in x 13in = 156in^2
18in x 7in = 126in^2
Add the two areas.
156 + 126 = 282in^2
282in^2 is the answer so (C)
Classify the two given samples as independent or dependent.
sample 1: the scores of 20 students who took the act
sample 2: the scores of 20 different students who took the sat
Solution: The two given samples are independent samples because in both the samples, the scores of one student will not affect the scores of other students.
Independent samples are samples that are selected randomly so that its observations do not depend on the values other observations.
Answer:
The area of the circular ring is 53.73 π sq. yards
Step-by-step explanation:
The diameter of the skating ring = 44 ft
Diameter = 2 x Radius
⇒Radius of the ring = 44 / 2 = 22 ft
Now, 1 ft = 0.333333 yards
⇒22 ft = 22 x 0.333333 yards = 7.3333 yards
Now, Area of the circular Ring = 
or, 
= 53.73 π sq. yards
or, the area of the circular ring is 53.73 π sq. yards
Answer:
option C
Step-by-step explanation:
f(x)=-0.08x(x^2-11x+18)
Factor the parenthesis and find out the x intercepts
(x^2-11x+18)
We find out two factors whose product is 18 and sum is -11
-9 and -2 gives us product 18
-9 -2 gives us sum -11
(x^2-11x+18) =(x-9)(x-2)
f(x)=-0.08x(x^2-11x+18)
f(x)= -0.08x(x-9)(x-2)
set f(x) =0 and solve for x
-0.08x(x-9)(x-2) =0
-0.08x =0, so x=0
x-9 = 0 , so x=9
x-2 =0 , so x=2
x intercepts are (0,0) (2,0) and (9,0)
x intercepts are not repeating
so the graph crosses x -axis at x=0, 2,9
option C is correct
The graph is attached below4
Answer:
(-9/7,-26/7)
[more detailed at the bottom of the explanation]
Step-by-step explanation:
I am assuming that this is a system of equations...
So, knowing that y is equal to x + 5, you would plug that in the second equation and find x. Then you would plug x and find y.
—————
Step 1)
Equation 1:
y = (x + 5)
Equation 2:
5x + 2y = 1
Equation 2 can also be written as:
5x + 2(x+5) = 1
I wrote x+5 instead of y because the first equation tells us that y is equal to x + 5.
—————
Step 2)
Solve for x .
5x + 2(x+5) = 1
5x + 2x + 10 = 1
7x + 10 = 1
7x = 1 - 10
7x = -9
x = -9/7
—————
Step 3)
Plug the x value back in the first equation.
y = -9/7 + 5
y = -26/7
—————
Solution:
x = -9/7
y = -26/7
In ordered pair form:
(-9/7,-26/7)
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Hope this helps !!!!!!!
