<span> Two rectangles, one lying completely within the other. The area between the rectangles is shaded. Two adjacent sides of the larger rectangle are labeled sixty feet and forty feet. The shaded area is labeled four foot border.
Area of larger rectangle = 60 ft * 40 ft = 2400 ft</span>²
Area of smaller rectangle = (60-4)ft * (40-4)ft = 56 ft * 36 ft = 2,016 ft²
Area of the border = 2,400 ft² - 2,016 ft² = 384 ft²
A consistent system of equations has at least one solution.
A consistent system is considered to be an independent system if it has a single solution, such as the example we just explored. The two lines have different slopes and intersect at one point in the plane.
A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line. Every point on the line represents a coordinate pair that satisfies the system. Thus, there are an infinite number of solutions.
Another type of system of linear equations is an inconsistent system, which is one in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no points common to both lines; hence, there is no solution to the system.
For more information on slopes click on the link below:
brainly.com/question/3493733
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Answer:
0.998 is the probability that the average money spent by a sample of 40 shoppers is within $10 of the actual population mean.
Step-by-step explanation:
We are given the following information in the question:
Standard Deviation, σ = $21.51
We are given that the distribution of average money spend is a bell shaped distribution that is a normal distribution.
Formula:
We have to find:
P( average money spent is within $10 of the actual population mean.)
Calculation the value from standard normal z table, we have,
Answer:
Set equal to zero and solve for x
. The multiplicity of a root is the number of times the root appears.
x
=
−
1 (Multiplicity of 1
)
x
=
8 (Multiplicity of 1
)
x
=
−
2
5 (Multiplicity of 1
)
Step-by-step explanation:
Answer:
10 ft 10 in
Step-by-step explanation:
Note that there are 12 inch in 1 feet. Add corresponding numbers together:
6 ft 2 in + 4 ft 8 in = (6 ft + 4 ft) + (2 in + 8 in) = 10 ft + 10 in
10 ft 10 in is your answer.
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