Answer: R = (-8, 20)
Step-by-step explanation:
Given that :
M is the midpoint of RS
M = (-4, 5)
S = (0, - 10)
NOTE :
midpoint, M equals
Mx = (Rx + Sx) / 2
My = (Ry + Sy) / 2
Mx = - 4, Sx = 0, My = 5, Sy = - 10
Mx = (Rx + Sx) / 2
-4 = (Rx + 0) / 2
-8 = Rx + 0
Rx = - 8
My = (Ry + Sy) / 2
5 = (Ry + (-10)) / 2
10 = Ry - 10
10 + 10 = Ry
Ry = 20
Hence, coordinates of R = - 8 and 20
R = (-8, 20)
Answer:
2 × (3 + 7 - 9) = (1 + 5) - (8 - 4)
Step-by-step explanation:
2 × (3 + 7 - 9) = (1 + 5) - (8 - 4)
Verification
2 × (10 - 9) = 6 - 4
2 × 1 = 2
2 = 2
Answer: You will pay $13.52 for this shirt.
Step-by-step explanation: 0.9435
Since the tax is 7.5%, you have to multiply 12.58 by 7.5% to find the amount of money paid as tax.
7.5% = 0.075
12.58 x 0.075 = 0.9435
Since we are dealing with money we have to round to the nearest hundredth -- 0.9435 = 0.94
Then to find the final cost of the shirt, we have to add 12.58 and 0.94 to get $13.52.
Answer:
The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given
x
,
(
x
+
6
)
(
x
−
2
)
(
x
−
1
)
.
A polynomial is a sum (with some coefficients) of powers of
x
, so, if we expand the product just written, we have
(
(
x
+
6
)
(
x
−
2
)
)
(
x
−
1
)
=
(
x
2
−
2
x
+
6
x
−
12
)
(
x
−
1
)
=
(
x
2
+
4
x
−
12
)
(
x
−
1
)
=
x
3
+
4
x
2
−
12
x
−
x
2
−
4
x
+
12
=
x
3
+
3
x
2
−
16
x
+
12
Which is a polynomial, and expresses the volume of the prism
Step-by-step explanation:
The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given
x
,
(
x
+
6
)
(
x
−
2
)
(
x
−
1
)
.
A polynomial is a sum (with some coefficients) of powers of
x
, so, if we expand the product just written, we have
(
(
x
+
6
)
(
x
−
2
)
)
(
x
−
1
)
=
(
x
2
−
2
x
+
6
x
−
12
)
(
x
−
1
)
=
(
x
2
+
4
x
−
12
)
(
x
−
1
)
=
x
3
+
4
x
2
−
12
x
−
x
2
−
4
x
+
12
=
x
3
+
3
x
2
−
16
x
+
12
Which is a polynomial, and expresses the volume of the prism
We all know about the bell curve i.e. normal distribution curve. It is centered about the mean and spread equally on each side.
We describe the area of the curve with the help of standard deviations.
With in 1 standard deviation about the mean i.e. from -1 s.d. (left of mean) to +1 s.d. (right of mean), it covers 68% of the total area of curve.
So, the data that falls outside 1 standard deviation of the mean would be equal to (100% - 68%) i.e. 32%.
So, 32% is the final answer.
