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3 years ago

1.

Mathematics

2 answers:

OLEGan [10]3 years ago

7 0

Answer:

28=(2x-1)(x)

Step-by-step explanation:

The swimming pool is rectangular in shape.

Hence the area of it is given by:

l * w

where l = length of the rectangular swimming pool

w = width of the rectangular swimming pool

In this question it is given:

width = w = x

length = l = 2x - 1

Area = 28 sq.ft

Hence:

Area = l * w = (2x-1)(x)

28 = (2x-1)(x)

nikdorinn [45]3 years ago

3 0

Answer:

C. 28 = (2x - 1)(x)

Step-by-step explanation:

There is a rectangular swimming pool.

Width of swimming pool is x

Length is one less than twice the width

Area of the swimming pool is 28 sq ft.

To Find : Equation could be used to model the area of the swimming pool.

Solution:

Since we are given that Length is one less than twice the width.

And width is x (given)

So, length = 2x-1

Area of the swimming pool is 28 sq ft.

Now ,

Formula of area of rectangle : Length*Width

⇒28= (2x-1)(x)

So, equation used to model the area of the swimming pool: 28= (2x-1)(x)

Hence Option c is correct.

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Answer:

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Which of the following is equivalent to the expression (3ab)(-5ab)?

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3 years ago

An online survey company wants to know if customer age is important in deciding to subscribe. The company has gathered a random

aleksley [76]

Answer:

service subscription and age are not independent

Step-by-step explanation:

The appropriate statistical test to adopt for the above problem is the Chisquare test.

The hypothesis :

H0 : service subscription and age are independent

H1 : service subscription and age are not independent

Observed values :

Under 18 18-34 35 and Over Total

Yes__ 120 __262 __237__ 619

No___ 41 ___103 __237 __381

Total 161 365 574 1000

χ² = (Observed - Expected)²/Expected

Expected Values:

99.659 __ 225.935 __ 293.406

61.341 ___ 139.065 __ 180.594

The Chisquare values :

4.15172__ 5.7569__ 10.8438

6.74518_ 9.35307 __ 17.6176

χ² = 4.15172 + 5.7569 + 10.8438 + 6.74518 + 9.35307 + 17.6176 = 54.46827

Degree of freedom = (row-1)*(column-1) = (2-1)*(3-1) = 1*2 = 2

Pvalue at df = 2 ; Pvalue = 0

α = 0.05

Pvalue < Α ; Hence, we reject H0 ; and conclude that service subscription and age are not independent

3 0

3 years ago

The ratio of the number of people who own a smartphone to the number of people who a flip phone is 5:3. If 600 more people own a

Anuta_ua [19.1K]

Answer:

900

Step-by-step explanation:

The ratio of the number of people who own a smartphone to the number of people who a flip phone is 5:3.

Let the number of people who own a flip phone=x

If 600 more people own a smartphone than a flip phone, then the number of people who own a smartphone=x+600

To find x, we express the ratio and population as an equality.

5:3=x+600:x

Expressing the ratios as fractions would give:

$\dfrac{5}{3}=\dfrac{x+600}{x}$

Next, we cross multiply

5x=3(x+600)

Open the brackets by expansion.

5x=3x+(3 X 600)

5x=3x+1800

Subtract 3x from both sides.

5x-3x=3x-3x+1800

2x=1800

Divide both sides by 2

x=900.

Since x=900, the number of people who own a flip phone is 900.

7 0

3 years ago