The answer is
7<span> ≥ </span> x<span> ≥ 1 </span>
Answer:
1/12
Step-by-step explanation:
Probability is the result of the number of possible outcome divided by the number of total outcome.
Given that the box contains a red shirt, a blue shirt, a black trouser, and a red trouser, the number of total outcome is
= 1 + 1 + 1 + 1
= 4
The possibility of picking;
a black trouser is
= 1/4
then a red (without replacement, the total outcome drops to 3)
= 1/3
Hence, the probation choosing the black trouser and the red shirt without replacement
= 1/4 * 1/3
= 1/12
Answer:
If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, and x is a both a real and a positive number, then the value of x must be 5.
Step-by-step explanation:
All sides of a square are equal length.
The area of a square is the side length squared.
perimeter p, side length s, area a, and variable x.
p = 28. s = ? a = x^2 + 4x + 4. x = ?
p = 28
p = 4s.
28 = 4s.
7 = s.
a = s^2.
s = 7.
a = 7^2.
a = 49.
a = x^2 + 4x + 4.
a = 49.
x^2 + 4x + 4 = 49.
factor x^2 + 4x + 4.
(x+2)(x+2) = 49.
(x+2)^2 = 49.
√ ((x+2)^2) = √49.
take positive answer.
x+2 = 7
x = 5.
Answer:
f(-1) = -1 . . . . matches the last selection
Step-by-step explanation:
When evaluating piecewise functions, the first step is to determine the applicable piece. The argument -1 is in the range of the middle definition, (-2, 1). So, the function value is ...
... (-1)³ = -1
Answer:
171 ![in^2](https://tex.z-dn.net/?f=in%5E2)
19.5 ![in^2](https://tex.z-dn.net/?f=in%5E2)
Step-by-step explanation:
To find the area of a parallelogram, one uses the following formula,
![A=(base)(hieght)](https://tex.z-dn.net/?f=A%3D%28base%29%28hieght%29)
Substitute in the given values, and find the area of the parallelogram.
1.
Base = 16
Hieght = 11
![Area=(base)(height)\\= (11)(16)\\=176](https://tex.z-dn.net/?f=Area%3D%28base%29%28height%29%5C%5C%3D%20%2811%29%2816%29%5C%5C%3D176)
2.
Base = 1.5
Hieght = 13
![Area=(base)(hieght)\\=(1.5)(13)\\=19.5](https://tex.z-dn.net/?f=Area%3D%28base%29%28hieght%29%5C%5C%3D%281.5%29%2813%29%5C%5C%3D19.5)