Answer:
Cube 1: 3375 cubed inches, 1350 inches squared.
Cube 2: 512 cubed inches, 384 inches squared.
Step-by-step explanation:
Formula for Volume of a Cube:
(s - side length)
Formula for Surface Area of a Cube:
(s- side length)
<h3>For Cube 1:</h3>
The side length's 15 inches.
Find the volume:

The volume of cube one is 3375in³.
Find the surface area:

The surface area of cube 1 is 1350in².
<h3>For Cube 2:</h3>
The side length's 8 inches.
Find the volume:

The volume of cube two is 512in³.
Find the surface area:

The surface area of cube 2 is 384in².
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which means the parabola lies above the x-axis over its entire domain. This means the area is given by
The plane PRS passes through the points P, R and S. So it contains the line RS. Also the plane QRS passes through the points Q, R and S. So it contains the line RS as well. Since both the planes contain the line RS, the line RS must be the intersection of plane PRS and QRS
Answer:
0.5372
Step-by-step explanation:
Given that the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average birth rate of 1.8 births per hour.
Let X be the no of births in the hospital per hour
X is Poisson
with mean = 1.8
the probability of observing at least two births in a given hour at the hospital
= 
the probability of observing at least two births in a given hour at the hospital = 0.5372
The system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.
The parameters needed to model the inequalities;
- amount made by Opal working for a photographer = $15 per hour
- amount made in the soccer team = $10 per hour
- minimum amount Opal needs to make a week = $90
- maximum number of hours Opal needs to work = 20 hours
Let the number of hours Opal works for a photographer = x
Let the number of hours Opal works in soccer team = y
The first system of inequality in the given situation is represented as;
x + y ≤ 20
The second system of inequality in the given situation is represented as;
15x + 10y ≥ 90
Thus, the system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.
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