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Gennadij [26K]
2 years ago
9

A paint shop stocks 1800 liters of paint 24% of the paint is white. The shops sells 18% of the white paint and 7% of the rest of

the paint. How much paint is sold altogether
Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
5 0

Answer:The amount of paint that was sold altogether is 173.36 litres

Step-by-step explanation:

The total amount of paint that the paint shop stocks is 1800 litres.

24% of the paint is white. It means that the amount of white paint would be

24/100 × 1800 = 0.24 × 1800 = 432 litres.

The amount of the remaining paint other than white would be

1800 - 432 = 1368 litres

The shops sells 18% of the white paint. This means that the amount of white paint sold by the shop will be

18/100 × 432 = 0.18 × 432 = 77.6 litres.

The shops sells 7% of the rest of the paint.

This means that the amount of the rest paint sold by the shop will be

7/100 × 1368 = 0.07 × 1368 = 95.76 litres.

The amount of paint that was sold altogether would be

77.6 + 95.76 = 173.36 litres

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A population consists of the following five values: 1, 3, 4, 4, and 6. List all samples of size 2 from left to right without rep
aniked [119]

Answer:

The sample of sizes 2 and their mean are given below.

Step-by-step explanation:

The population consist of  5 values, S = {1, 3, 4, 4, 6}.

The number of samples of size 2 (without replacement) that can be formed from these 5 values is:

{5\choose 2}=\frac{5!}{2!(5-2)!} =10

Th formula to compute the mean is:

\bar x=\frac{1}{n}\sum x_{i}

List the 10 samples and their mean as follows:

<u>Sample</u>                       <u>Mean</u>

(1, 3)                    \bar x=\frac{1}{2}[1+3]=\frac{4}{2}=2.0

(1, 4)                    \bar x=\frac{1}{2}[1+4]=\frac{5}{2}=2.5

(1, 4)                    \bar x=\frac{1}{2}[1+4]=\frac{5}{2}=2.5

(1, 6)                    \bar x=\frac{1}{2}[1+6]=\frac{7}{2}=3.5

(3, 4)                   \bar x=\frac{1}{2}[3+4]=\frac{7}{2}=3.5

(3, 4)                   \bar x=\frac{1}{2}[3+4]=\frac{7}{2}=3.5

(3, 6)                   \bar x=\frac{1}{2}[3+6]=\frac{9}{2}=4.5

(4, 4)                   \bar x=\frac{1}{2}[4+4]=\frac{8}{2}=4.0

(4, 6)                   \bar x=\frac{1}{2}[4+6]=\frac{10}{2}=5.0

(4, 6)                   \bar x=\frac{1}{2}[4+6]=\frac{10}{2}=5.0

8 0
2 years ago
Justin and Austin decide to play catch after school. they start at the Same point. Justin walks 50feet north and 20,feet west. A
Trava [24]
They are approximately 120 ft apart
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2 years ago
A cylindrical paint can has a 6.5 inch inside diameter and is 7.75 inches high. It is being filled with paint at a rate of 120in
Zina [86]

Answer:

The rate of coating of surface is = 74 inch²/min

Step-by-step explanation:

diameter = 6.5-inch, height = 7.75-inch, rate of filling or dv/dt = 120 inch/min

Since the differential of an equation is basically its rate of change with respect to another variable.

Radius = d/2 = 6.5/2 = 3.25 inch, ds/dt = ? can also be understood as the rate at which the surface area of the cylindrical paint can is coated.

We know that the surface area of a cylinder = 2πrh + 2πr², this is equation 1

The volume for the cylinder = V = πr²h

dv/dt = πr² x dh/dt, where r is constant

120 = π x (3.25)² x dh/dt

Dh/dt = 120/π x (3.25)²

Now differentiate the surface area equation 1

ds/dt = 2 x π x r dh/dt + 0 , where r is constant

replace the value of dh/dt in the above equation of ds/dt

ds/ dt = 2 x π x 3.25 x (120/π x (3.25)²

ds/dt = 73.846 ≅ 74inch²/min

3 0
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A
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Those are your answers.
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A laser pointer in the shape of a cylinder is 13 centimeters long with a radius of 1 centimeter. On top it has a cone-shaped tip
bezimeni [28]
We know that

step 1
find the volume of a cylinder

volume of a cylinder=pi*r²*h
where
h=13 cm
r=1 cm
volume of a cylinder=pi*1²*13----> 13*pi cm³

step 2
find the volume of a cone

volume of a cone=(1/3)*pi*r²*h
where
r=1 cm
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volume of a cone=(1/3)*pi*1²*3-----> pi cm³

step 3
find the volume of the laser pointer

volume of the laser pointer=volume of a cylinder+volume of a cone
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the answer is
volume of the laser pointer is 14*pi cm³
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2 years ago
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