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polet [3.4K]
3 years ago
14

Is 9.1 rational number

Mathematics
2 answers:
damaskus [11]3 years ago
6 0

Answer:

9.1 is a rational number.

Step-by-step explanation:

Lets understand what a rational number is. A rational number is a number that can be expressed by dividing 2 integers.

9.1 can also be expressed as \frac{91}{10}

9.1 is a rational number.

zaharov [31]3 years ago
4 0

9.1 is a rational number


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The rate of change from 23 to 30 is
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Answer:

7

Step-by-step explanation:

8 0
3 years ago
1. Thom has a scale model of his car. The
MariettaO [177]

x =\frac{4}{3}inch is the size in wheels on the scale model .

<u>Step-by-step explanation:</u>

Correct Question : Tom has a scale model of his car. The scale factor is 1 : 12. If the actual car has 16-inch wheels, what size are the wheels on the scale model?

We have , The scale factor is 1 : 12. We need to find If the actual car has 16-inch wheels, what size are the wheels on the scale model .Let's find out:

Ratio of size of wheels to actual size of wheels is 1:12 , but actual car has 16-inch wheels So ,

⇒ \frac{1}{12}  = \frac{x}{16}                 { x is size of wheel in scale model }

⇒ \frac{1(16)}{12}  = \frac{x}{16}(16)

⇒ x =\frac{16}{12}

⇒ x =\frac{4}{3}inch

Therefore , x =\frac{4}{3}inch is the size in wheels on the scale model .

5 0
4 years ago
What is the area of a circle with the diameter of 8
Mars2501 [29]
Area = πr^2
π4^2 =16π
=50.3
5 0
4 years ago
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You play two games against the same opponent. The probability you win the first game is 0.4. If you win the first game, the prob
Ilia_Sergeevich [38]

Answer:

a) No

b) 42%

c) 8%

d) X               0                 1                2

   P(X)           42%            50%         8%

e) 0.62

Step-by-step explanation:

a) No, the two games are not independent because the the probability you win the second game is dependent on the probability that you win or lose the second game.

b) P(lose first game) = 1 - P(win first game) = 1 - 0.4 = 0.6

P(lose second game) = 1 - P(win second game) = 1 - 0.3 = 0.7

P(lose both games) = P(lose first game)  × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

c)   P(win first game)  = 0.4

P(win second game) = 0.2

P(win both games) = P(win first game)  × P(win second game) = 0.4 × 0.2 = 0.08 = 8%

d) X               0                 1                2

   P(X)           42%            50%         8%

P(X = 0)  =  P(lose both games) = P(lose first game)  × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

P(X = 1) = [ P(lose first game)  × P(win second game)] + [ P(win first game)  × P(lose second game)] = ( 0.6 × 0.3) + (0.4 × 0.8) = 0.18 + 0.32 = 0.5 = 50%

e) The expected value  \mu=\Sigma}xP(x)= (0*0.42)+(1*0.5)+(2*0.08)=0.66

f) Variance \sigma^2=\Sigma(x-\mu^2)p(x)= (0-0.66)^2*0.42+ (1-0.66)^2*0.5+ (2-0.66)^2*0.08=0.3844

Standard deviation \sigma=\sqrt{variance} = \sqrt{0.3844}=0.62

8 0
3 years ago
Hey uh can anyone help me with this? This is a test and I dont need an explanation since its the last day of the marking period,
Archy [21]

Answer:

Look at explanation.

Step-by-step explanation:

<em><u>Dilation of scale factor of 5, because it would become more wide and open by a factor of 5. Reflection over y-axis, because it makes the shape double the size. Dilation of scale factor of 1/2, because it makes the shape half it's size.</u></em> The rotating 90 degrees would only change the shapes position, not the size. The translation would only move the shape to a different area, and not change the size.

8 0
2 years ago
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