Answer:
The box must be 3 inches in height
Step-by-step explanation:
In this question, we are concerned about calculating the height of the supplies box.
To be able to get the value for the volume, we need to use the mathematical formula.
Since It is a rectangular prism, the volume V = l * b * h
where l, b and h are the length, breadth and height respectively. Now , it is the measurement of the base that is l * b, hence the base area in this question is 6 * 5 = 30 inches^2
The height of the supply box is thus 90/30 = 3 inches high
Answer:
and
Step-by-step explanation:
Hello!
First factor out the coefficient of x² from the entire expression.
Standard form of a quadratic:
Vertex form (completing the square):
Perfect Square trinomial:
Given the equation in the brackets:
We want to convert the parentheses into a Perfect Square Trinomial (PST).
To find the missing term to complete the square, we must:
- take the b-value (4)
- divide it by two (4/2 = 2)
- square it (2^2 = 4)
To change -3/2 to 4, we have to add 5 and 1/2.
But we also want to balance our equation, as we don't want to change the value of the equation. Since we are adding 5.5, and it is being multiplied by 2, we want to subtract 2(5.5) or 11.
Convert the parentheses into factored form.
Set the equation to 0 and use the square root property:
The zeroes are and .
Answer:
The selection probability that would be assigned to each of the package designs , since they are equally likely is 1/5= 0.2
step-by-step explanation:
the data appear not to confirm the belief that one design is just as likely to be selected as another because 1 is preferred 5 times and 4 is preferred 40 times, this is very wide apart, and it confirmed the belief that one design is not as likely to be selected as another.