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adoni [48]
2 years ago
9

Marys doll house has a door that is 60 inches high by 30 inches wide. Mary has a dog bed that is 65 inches on each side. a. Will

the doll bed go through the front door of the house? Explain. b. What is the largest bed (to the nearest inch) that will fit through the doll house door?
Mathematics
1 answer:
laiz [17]2 years ago
7 0
No it will not bc the area of the door is 1,800 inches and the dog beds area is 4,225 inches and also the dog bed too tall
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he XO Group Inc. conducted a survey of brides and grooms married in the United States and found that the average cost of a weddi
ahrayia [7]

Answer:

A. P(X<20,000) = 0.0392

B. P(20,000 < x < 30,000) = 0.488

C. Amount = $39,070

Step-by-step explanation:

From XO group website

Cost of a wedding = $29,858

Mean, μ = $29,858

Standard Deviation, σ =$5,600

a. Calculating the probability that a wedding costs less than $20,000

P(X<20,000)?

First, the z value needs to be calculated.

z = (x - μ)/σ

x = 20,000

z = (20,000 - 29,858)/5600

z = -1.76

So, P(X<20,000) = P(Z<-1.76)

From the z table,

P(Z<-1.76) = 0.0392

P(X<20,000) = 0.0392

b. Calculating the probability that a wedding costs between $20,000 and $30,000

P(20,000 < x < 30,000)

First, the z value needs to be calculated.

z = (x - μ)/σ

When x = 20,000

z = (20,000 - 29,858)/5600

z = -1.76

When x = 30,000

z = (30,000 - 29,858)/5600

z = 0.02

P(20,000 < x < 30,000) = P(-1.76 < z <0.02) --- using the z table

P(-1.76 < z <0.02) = 0.508 - 0.0392

P(-1.76 < z <0.02) = 0.4688

P(20,000 < x < 30,000) = 0.488

c. Using the following formula, we'll get the amount it'll a wedding to be among the 5% most expensive

z = (x - μ)/σ where x = amount

Make x the subject of formula

x = σz + μ

Fist we need to get the z value of 5%

z0.05 = 1.645

x = σz + μ becomes

x = 5600 * 1.645 + 29,858

x = $39,070

Amount = $39,070

5 0
3 years ago
A bedroom has a length of x+ 3 feet and a width of x-1 feet. Write a polynomial to express the area of the bedroom. Then calcula
jekas [21]

Answer:

Step-by-step explanation:

Length = x+3

Width = x-1

Area = l*b

where l is the length of the bedroom

and b is the breadth or width of the bedroom

The polynomial can be written as:

Area=(x+3)(x-1)

Now we will find the area of the room when x=10

First we will find the values of length and width.

Length = x+3

Length = 10+3 = 13

Width = x-1

Width = 10-1=9

Now put the values in the formula:

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Area=13*9

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3 years ago
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lianna [129]

Answer:

The factored form of x^3 -1 will be:

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Given the expression

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=x^3-1^3

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            =\left(x-1\right)\left(x^2+x+1\right)

Thus, the factored form of x^3 -1 will be:

x^3-1^3=\left(x-1\right)\left(x^2+x+1\right)

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12 is the square root of 144.
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I believe it is the first one. A. \frac{x^2}{5^2}- \frac{y^2}{5^2}\ \textgreater \ 1
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