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3 years ago

0.2 is what percent of 2?

Mathematics

2 answers:

tekilochka [14]3 years ago

5 0

Answer:

0.2 is 10% of 2.

Step-by-step explanation:

We can set up an equation:

2*x=0.2

x is representing the decimal that 2 needs to be multiplied to equal 0.2

2x=0.2

x=0.1

If x equal 0.1, then we can convert 0.1 into a percent. 0.1=10%

So, 0.2 is 10% of 2.

sergejj [24]3 years ago

4 0

Answer:

10%

Step-by-step explanation:

To get 0.2 from 2, we need to divide by 10 or multiply by 0.10. Since we have 0.10, we convert that to percent by multiplying by 100 to get 10%.

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Find the solution to the system of equations 2x+3y+z=20 3y+5z=12 y-5z=4

podryga [215]

Answer:

x =4 ,y =4 and z =0 is the solution.

Step-by-step explanation:

We shall solve the equations using elimination method

In equation 2 and 3 we can see that coefficient of z in both equations are same with opposite sides , adding equations (2) and (3)

3y+5z = 12

y -5z = 4 adding the equations

___________

4y = 16

dividing both sides by 4

y = $\frac{16}{4}$

y = 4

Plugging the value of y in equation 2 or equation 3 ,we get

3(4) +5z = 12

12+5z = 12

5z = 12-12 or 5z =0 gives z =0

plugging y =4 and z =0 in equation 1

2x+3(4)+ 0 = 20

2x+12 = 20

2x =20-12

2x = 8

x = 8 divided by 2 gives

x =4

therefore solution of the system is given by

x=4 , y =4 and z =0

3 0

4 years ago

Read 2 more answers

In studies for a medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.

timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

$p = 0.03$

$q = 1 - 0.03 = 0.97$

The mean is

$\mu = np$

$\mu = 643 \times 0.03 = 19.29$

The standard deviation is

$\sigma = \sqrt{npq}$

$\sigma = \sqrt{643 \times 0.03 \times 0.97}$

$\sigma =4.33$

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

$P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 1.20) \\ = 0.051$

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

$P(X \: < \: 24.5) = P(z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P(z \: < \: 1.20) \\ = 0.8849$

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

$P(X \: > \: 10.5) = P(z \: > \: \frac{10.5 - 19.29}{4.33} ) \\ = P(z \: > \: - 2.03)$

$= 0.9788$

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

$P(23.5 \: < \: X \: < \: 28.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{28.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 2.13) \\ = 0.1494$

3 0

3 years ago

Please help with this!!!

ehidna [41]

Answer:

47.25 ft³

Step-by-step explanation:

The volume of the prism is given by the formula ...

V = Bh . . . . . . . B is the area of the base, h is the height.

The height of the prism is given as 6 ft. The area of the base is the area of the triangular entrance. The formula for that area is ...

A = 1/2bh . . . . . . b is the base, h is the height

Using the given values for the entrance base and height, we get ...

A = 1/2(4.5 ft)(3.5 ft) = 7.875 ft²

Then the volume of the tent is ...

V = (7.875 ft²)(6 ft) = 47.25 ft³

The tent volume is 47.25 cubic feet.

8 0

2 years ago

Line segment AB has endpoints A(1, 4) and B(2, 8) . A dilation, centered at the origin, is applied to AB¯¯¯¯¯ . The image has en

kumpel [21]

To determine the scale factor of the dilation, we determine the distances between the endpoints of the two lines through the equation,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values.

Line Segment 1: d = √(1 - 2)² + (4 - 8)² = 4.123

Line Segment 2: d = √(18 - 14)² + (12 - 1)² = 11.70

Dividing the answers will give us 0.352

7 0

3 years ago

Read 2 more answers

Tommy has a screw whose length is 4 cm and its thread length is 16 cm. What is the mechanical advantage of the screw?

Rus_ich [418]

Answer:

a screw is a simple machine that works as a modified inclined plane. You can think of the thread of the screw as an inclined plane wrapped around the shaft of the screw. The slope of the screw is the distance for one complete rotation while the height of the inclined plane is the distance between the threads, known as pitch. The relationship between the pitch and circumference of the screw gives the mechanical advantage.

7 0

2 years ago