Answer:
A. (0, 5)
Step-by-step explanation:
Physically speaking, the volume of the box and the side of the square cutout are positive value. So that the following inequations must be satisfied:
(1)
(2)
(3)
From (1), (2), (3) we find that:
(1):
(2):
(3):
We see that equation above is the multiplication of a first grade monomial and two first grade binomials, which means that:
In other words, the reasonable domain for this situation is A.
Answer:
The number of students who scored more than 90 points is 750.
Step-by-step explanation:
Quartiles are statistical measures that the divide the data into four groups.
The first quartile (Q₁) indicates that 25% of the observation are less than or equal to Q₁.
The second quartile (Q₂) indicates that 50% of the observation are less than or equal to Q₂.
The third quartile (Q₃) indicates that 75% of the observation are less than or equal to Q₃.
It is provided that the first quartile is at 90 points.
That is, P (X ≤ 90) = 0.25.
The probability that a student scores more than 90 points is:
P (X > 90) = 1 - P (X ≤ 90)
= 1 - 0.25
= 0.75
The number of students who scored more than 90 points is: 1000 × 0.75 = 750.
Change 30 mm to 3 cm because 1 cm = 10mm
SO
and the answer is 27 cm