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charle [14.2K]
2 years ago
11

A fair coin is tossed 3 consecutive times. What is the probability that the result of the first toss is heads and the results of

the next two are tails?
A: 1/8
B: 1/6
C: 1/2
D: 1/4
Mathematics
1 answer:
julia-pushkina [17]2 years ago
8 0

Answer: a). 1/8

Step-by-step explanation:

If the coin is fair, then the odds of getting heads or tails should be equal, 12.

Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.

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EGF and GFH are a linear pair, m EFG = 4n + 15, and m GFH = 5n + 39. what are m EFG and m GFH?
Tasya [4]

The angles of ∠EFG  and ∠GFH are 71° and  109°

<h3>What are linear pair angles?</h3>

Linear pair of angles are formed when two lines intersect each other at a single point.

In other words, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.

Linear pair angles are supplementary. This means the sum of  a linear pair angles is 180 degrees.

Therefore,

∠EFG + ∠GFH = 180

Therefore,

∠EFG = 4n + 15

∠GFH = 5n + 39

hence,

4n + 15 + 5n + 39 = 180

9n + 54 = 180

9n = 180 - 54

9n = 126

n = 126 / 9

n = 14

Hence,

∠EFG = 4n + 15 = 4(14) + 15 = 71°

∠GFH = 5n + 39 = 5(14) + 39 = 109°

learn more on linear pair angles here: brainly.com/question/28264317

#SPJ1

4 0
1 year ago
suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordin
Readme [11.4K]

The quadratic regression equation for the stream of water is y=-0.139x^{2} +1.667x {parabola}

     

Given that the water stream produced by fountain is parabola

Vertex of parabola is (6,5) , parbola is facing downward,axis of symmetry of parabola is x=6 and parabola passes through (0,0)

according to symmetry the third point on the parabola is (12,0)

General equation for a parabola⇒ Y=-4aX^{2}

⇒(y-5)=-4a(x-6)^{2}    { as the Vertex of parabola is (6,5) }

⇒(y-5)=-4a(x^{2} +36-12x)

subtituting (0,0) in the equation to get the value of a

⇒-5=-4a(36)

⇒ a=\frac{-5}{144}                      

equation of parabola⇒(y-5)=-4( \frac{5}{144})(x-6)^{2}

Therefore,The quadratic regression equation for the stream of water is y=-0.139x^{2} +1.667x

Learn more about parabola here:

brainly.com/question/21685473

#SPJ4              

                                 

                                       

3 0
2 years ago
Please help me! I will give it 5 stars and I will heart the answer!
andrew11 [14]

Answer:

Haha there is no question

Step-by-step explanation:

4 0
3 years ago
Find the slope of (-3,-10) and (3,-8)
VikaD [51]
This is the answer right here I got it off of a slope calculator online

4 0
3 years ago
Read 2 more answers
The coordinates of the vertices of AJKL are J(-5, -1), K(0, 1), and L(2, -5).
dalvyx [7]

We need slope of all lines ?

  • J(-5,-1)
  • K(0,1)
  • L(2,-5)

Slope of JK:-

\\ \sf\longmapsto m=\dfrac{1+1}{0+5}=\dfrac{2}{5}

Slope of KL:-

\\ \sf\longmapsto m=\dfrac{-5-1}{2-0}=\dfrac{-6}{0}=-3

Slope of JL

\\ \sf\longmapsto m=\dfrac{-5-1}{2+5}=\dfrac{-6}{7}

7 0
2 years ago
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