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kap26 [50]
3 years ago
6

The perimeter of a rectangle is 18 feet, and the area of the rectangle is 20 square feet. What is the width of the rectangle?

Mathematics
2 answers:
bogdanovich [222]3 years ago
7 0

4 ft or 5 ft

i think thats right

cestrela7 [59]3 years ago
7 0

Answer:

The width can be 5 ft   or the width can be 4 ft

Step-by-step explanation:

Perimeter = 2 (l+w)  for a rectangle

Area = l*w for a rectangle

Using perimeter

18 = 2(l+w)

Divide by 2

18/2 = 2/2 (l+w)

9 = l+w

Solving for l

9-w = l

Using area

20 = l*w

Substituing for l

20 = (9-w) * w

20 = 9w - w^2

Subtract 20 from each side

20-20 =-w^2 +9w -20

0 = -w^2 +9w -20

Multiply by -1

0 = w^2 -9w+20

Factor

0 = (w-5) (w-4)

Using the zero product property

w-5 = 0   w-4 = 0

w= 5   w=4

The width can be 5 ft   or the width can be 4 ft

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Suppose each of the following data sets is a simple random sample from some population. For each dataset, make a normal QQ plot.
adell [148]

Answer:

a) For this case the histogram is not too skewed and we can say that is approximately symmetrical so then we can conclude that this dataset is similar to a normal distribution

b) For this case the data is skewed to the left and we can't assume that we have the normality assumption.

c) This last case the histogram is not symmetrical and the data seems to be skewed.

Step-by-step explanation:

For this case we have the following data:

(a)data = c(7,13.2,8.1,8.2,6,9.5,9.4,8.7,9.8,10.9,8.4,7.4,8.4,10,9.7,8.6,12.4,10.7,11,9.4)

We can use the following R code to get the histogram

> x1<-c(7,13.2,8.1,8.2,6,9.5,9.4,8.7,9.8,10.9,8.4,7.4,8.4,10,9.7,8.6,12.4,10.7,11,9.4)

> hist(x1,main="Histogram a)")

The result is on the first figure attached.

For this case the histogram is not too skewed and we can say that is approximately symmetrical so then we can conclude that this dataset is similar to a normal distribution

(b)data = c(2.5,1.8,2.6,-1.9,1.6,2.6,1.4,0.9,1.2,2.3,-1.5,1.5,2.5,2.9,-0.1)

> x2<- c(2.5,1.8,2.6,-1.9,1.6,2.6,1.4,0.9,1.2,2.3,-1.5,1.5,2.5,2.9,-0.1)

> hist(x2,main="Histogram b)")

The result is on the first figure attached.

For this case the data is skewed to the left and we can't assume that we have the normality assumption.

(c)data = c(3.3,1.7,3.3,3.3,2.4,0.5,1.1,1.7,12,14.4,12.8,11.2,10.9,11.7,11.7,11.6)

> x3<-c(3.3,1.7,3.3,3.3,2.4,0.5,1.1,1.7,12,14.4,12.8,11.2,10.9,11.7,11.7,11.6)

> hist(x3,main="Histogram c)")

The result is on the first figure attached.

This last case the histogram is not symmetrical and the data seems to be skewed.

7 0
2 years ago
Dennis and Connie purchased a radio for $128. Dennis paid $36 more than Connie. How much did each pay?
never [62]

Answer:

Dennis paid $82 and Connie paid $46.

Step-by-step explanation:

We can set up an equation by putting in variables, c representing how much Connie paid. Since we know that Dennis paid $36 more, we will also factor that in the equation.

c + c + 36 = 128

Where c + 36 represents the amount Dennis paid, and 128 represents the total amount paid as given in the question. We can start by adding like terms. 2c + 36 = 128

Now, we can subtract 36 from each side,

2c + 36 - 36 = 128 - 36

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Divide each side by two,

2c/2 = 92/2

c = 46

Now, to make sure this is correct, let's substitute our c for 46 in our equation:

46 + 46 + 36 = 128

92 + 36 = 128

128 = 128

Therefore, our equation is correct, and Dennis paid $82 while Connie paid $46.

6 0
3 years ago
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Marizza181 [45]

Answer:

C

Step-by-step explanation:

7 0
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