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Mandarinka [93]
3 years ago
14

First to answers gets marked brainliest

Mathematics
1 answer:
cluponka [151]3 years ago
5 0

1/2 : the probability of getting an even  number when a six-sided die is  rolled.

1/6 : the probability of getting a six when a six-sided die is rolled.

1/7 :  the probability of randomly picking a vanilla-scented candle from a set of 3 vanilla-scented candles, 8 rose-scented candles,  and 10 lavender-scented candles.

1/8 : the probability of selecting a girl named Maria to be line leader from a class of 32 girls in which 4 students are named Maria.

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5. The students are trying to determine the distance between two particular
natali 33 [55]

Answer:

The actual distance between the cities is 211.67 cm.

Step-by-step explanation:

Given:

The map key indicates that 4.5 cm is equivalent to 75 cm.

Now, to find the actual distance between the cities if the cities are 12.7 cm apart on the map.

Let the actual distance be x.

So, we set a proportion to find the actual distance:

4.5:12.7 = 75:x.

<em>Changing into fractions.</em>

\frac{4.5}{12.7} =\frac{75}{x}

<em>By cross multiplication we get:</em>

4.5x=952.5

<em>Dividing both sides by 4.5 we get:</em>

x=211.67

Therefore, the actual distance between the cities is 211.67 cm.

8 0
3 years ago
Sketch the equilibrium solutions for the following DE and use them to determine the behavior of the solutions.
GREYUIT [131]

Answer:

y=\dfrac{1}{1-Ke^{-t}}

Step-by-step explanation:

Given

The given equation is a differential equation

\dfrac{dy}{dt}=y-y^2

\dfrac{dy}{dt}=-(y^2-y)

By separating variable

⇒\dfrac{dy}{(y^2-y)}=-t

\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-dt

Now by taking integration both side

\int\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-\int dt

⇒\ln (y-1)-\ln y=-t+C

Where C is the constant

\ln \dfrac{y-1}{y}=-t+C

\dfrac{y-1}{y}=e^{-t+c}

\dfrac{y-1}{y}=Ke^{-t}

y=\dfrac{1}{1-Ke^{-t}}

from above equation we can say that

When t  will increases in positive direction then e^{-t} will decreases it means that {1-Ke^{-t}} will increases, so y will decreases. Similarly in the case of negative t.

4 0
3 years ago
What is the percent increase from 1 to 6
Advocard [28]

Answer: 20%

Step-by-step explanation:

1       5

100  x

100*5/1 = 20%

7 0
3 years ago
How to simplify 9+5(4x+4)
RoseWind [281]
Use PEMDAS. Parenthesis, Exponents, Multiply, Divide, Addition, Subtraction.
So, you'd distribute 5 into the parenthesis, leaving you with 9+20x+20, then add like terms. 20x+29 
5 0
3 years ago
Read 2 more answers
What are Prime numbers?
VikaD [51]

A prime number is a natural number greater than 1 that can't be the factory of multiplying two smaller natural numbers.

7 0
3 years ago
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