Use the figure to fill in each blank to make a true statement. The simplified expression for the perimeter of the rectangle is _
2 answers:
Answer:
The simplified expression for the perimeter of the rectangle is 6w+6.
An equation that can be used to find w is 6w+6 = 36.
The width of the rectangle is 5 units
Step-by-step explanation:
By the given information,
The length of the rectangle = 2w + 3,
Where, Width = w,
We know that,
Perimeter of a rectangle = 2 × ( length + width )
According to the question,
Perimeter = 36 units,
Subtracting 6 on both sides,
Divide both sides by 6,
Thus the width of the rectangle is 5 units.
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Answer:
D. 220.16 Square feet
Step-by-step explanation: The shaded area is the space in the square not filled by the circle. So we need to find the area of the circle. The formula for area of a circle is . So we fill in this equation with the information we already know:
Simplify the exponents
Multiply
So now we know the area of the circle we have to find the area of the square because the circle is inside the square. It is a simple which is 1,024. Since we are looking for the shaded area we will subtract the area of the circle from the area of the square because the circle is not shaded.
1024-803.94= 220.16 square feet
Answer: a) 0.0792 b) 0.264
Step-by-step explanation:
Let Event D = Families own a dog .
Event C = families own a cat .
Given : Probability that families own a dog : P(D)=0.36
Probability that families own a dog also own a cat : P(C|D)=0.22
Probability that families own a cat : P(C)= 0.30
a) Formula to find conditional probability :
(1)
Similarly ,
Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792
b) Again, using (2)
Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264