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SOVA2 [1]
2 years ago
10

Suppose that a home mortgage company has N mortgages numbered serially in the order that they were granted over a period of 20 y

ears. There is a generally increasing trend in the unpaid balances because of the rising cost of housing over the years. The company wishes to estimate the total amount of unpaid balances. Would you employ a systematic or simple random sample
Mathematics
1 answer:
Vilka [71]2 years ago
8 0

Answer:

A systematic sample

Step-by-step explanation:

since there is an increasing trend in the unpaid balances because of the rising cost of housing the best approach is A systematic sample.

A systematic sample is preferred because it will capture the individual debts over the period of 20 years (i.e. the whole 20 years of mortgages ) while a simple random sample will just capture a certain period and its result will not represent the true nature of indebtedness .

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
Simplify the following.<br> - (3z)2
Sedaia [141]

Answer:

-6z

Step-by-step explanation:

(3z)2=6z

Add the negative

-6z

4 0
2 years ago
Read 2 more answers
What is 6x-36=216<br> What is x
stiks02 [169]

Answer:

x=42

Step-by-step explanation:

6x-36=216

   +36  +36

6x     = 252

x        = 42

7 0
3 years ago
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A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters. The e
Naddik [55]

Answer:

3x^2−13x+4

Step-by-step explanation:

(x−4)(3x−1)

=(x+−4)(3x+−1)

=(x)(3x)+(x)(−1)+(−4)(3x)+(−4)(−1)

=3x^2−x−12x+4

=3x^2−13x+4

7 0
3 years ago
Read 2 more answers
4 cubed 2 divided by 4
maksim [4K]

Answer: 32

Step-by-step explanation:

4 cubed 2 divided by 4

Simply is

4 to the power 3 multiplied by 2 divided by 4

4*4*4*2/4

128/4= 32

7 0
2 years ago
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