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3 years ago

Three coins are tossed, what is the probability that theoutcome will be heads?

Mathematics

1 answer:

labwork [276]3 years ago

5 0

Answer:

The probability that the outcome will be heads = 1/2

Step-by-step explanation:

Sample of Total outcome: HHH THH HHT HTT THH TTH TTH TTT

Possible outcome of heads = more than one head = HHH THH HHT THH

Where H = head, T = tail.

Probability = n(possible outcome)/n(total outcome)

n(possible outcome) = 4

n( total outcome) = 8

Therefore,

Probability = 4/8.

Probability = 1/2

Thus The probability that the outcome will be heads = 1/2

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Find the point that is 1/5 the way from A to B where A(-7,4) and B(3, 10).

mestny [16]

Answer:

The coordinates of the point that is 1/5 the way from A to B is $(x,y) = (-5,\frac{26}{5})$

Step-by-step explanation:

Here, the given points are: A (-7,4) and B (3,10)

Let us assume the point M(x,y) on AB is such that

AM : AB = 1 : 5

⇒ AM : (AB - AM) = 1 : (5-1) = 1: 4

⇒ AM : MB = 1 : 4

Now, The Section Formula states the coordinates of point (x,y) on any line dividing the line in the ratio m1 : m2

$(x,y) = (\frac{m_2x_1+m_1x_2}{m_1+m_2} ,\frac{m_2y_1+m_1y_2}{m_1+m_2} )$

Here, in the given equation, m1: m2 = 1:4

So, the coordinates M(x,y) is given as:

$(x,y) = (\frac{(-7)(4) + 1 (3)}{1+ 4} ,\frac{4(4) + 1(10)}{1+4} )\\\implies (x,y) = (\frac{-28+3}{5} ,\frac{16+10}{5} ) = (\frac{-25}{5} ,\frac{26}{5} )\\\implies (x,y) = (-5,\frac{26}{5} )$

Hence, the coordinates of the point that is 1/5 the way

from A to B is $(x,y) = (-5,\frac{26}{5})$

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3 years ago

The illustration below shows the graph of y as a function of x.

zloy xaker [14]

Answer:

x = 18

Step-by-step explanation:

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3 years ago

Hey can someone help me with this?? Im very confused and need this explained to me! Thank you so much!!

Over [174]

Answer:

( C ) ΔMLN ≅ΔTSR

Step-by-step explanation:

Okay I got you!

So if the triangle str was flipped and rotated the other way then you will see that they are similar. They are asking what other "pairs" could you do to make it equivalent. Since M = T then you got your first pair. Next you go to N and when you look at the shape you'll see it will be S. N=S. And the last one would be L=R. I hope I was helpful enough! uwu Try to draw them out it will be helpful!!

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3 years ago

Student council is making bows for Red Ribbon Week. To make a complete bow, they need 234 feet of ribbon. If the student council

GuDViN [60]

Answer:

3 11/8

Step-by-step explanation:

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Firlakuza [10]