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Mashcka [7]
3 years ago
13

The probability that you roll a 5 on a six-sided die is start fraction one over six end fraction . The probability that you flip

a coin that lands on heads is start fraction one over two end fraction. The probability that you roll a 5 on a six-sided die and you flip a coin that lands on heads is start fraction one over 12 end fraction. What is the probability of flipping a coin and it landing on heads, given that you rolled a 5 on a six-sided die? Are these two events independent?
Mathematics
2 answers:
Anarel [89]3 years ago
7 0
I am not sure about the probability but I cant tell you these events are independent because u don't need to roll a five for a coin to land on heads
liq [111]3 years ago
6 0
Let:

F - <span>5 on a six-sided die,</span>
H - coin lands on heads

We also know that:

P(F)=\dfrac{1}{6}\qquad\qquad P(H)=\dfrac{1}{2}\qquad\qquad P(F\cap H)=\dfrac{1}{12}

Calculate:

P(H|F)=\dfrac{P(F\cap H)}{P(F)}=\dfrac{\frac{1}{12}}{\frac{1}{6}}=\dfrac{1\cdot6}{12\cdot1}=\dfrac{6}{12}=\boxed{\dfrac{1}{2}}

In this case events are independent when:

P(H|F)=P(H)

Both probabilities equals \dfrac{1}{2}, so H and F are independent.
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1/4 kilometer = how many meters
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The answer to your question is
1/4 kilometer = 0.25 kilometers = 250 meters

You answer is 250 meters
3 0
3 years ago
The graph below shows Sean's distance, d, from his home (in kilometers) as a function of the time, t (in hours).
sdas [7]

Answer:

20

20

5

Step-by-step explanation:

4 0
2 years ago
a triangle has side lengths of 13, 15, and 17. determine whether the triangle is right, acute, or obtuse.
Len [333]
Square of longest side = 17^2 =  289

15^2 = 225
13^2 = 169 

total 394      289 is less than this so its acute
3 0
3 years ago
Given the right triangle shown below.if Cos A =15/17 and tan A=8/15 which of the following represents the length of BC
otez555 [7]

Answer:

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

Step-by-step explanation:

Given:

Consider a right triangle ABC, Such that

\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15}

To Find:

BC = ?

Solution:

In Right Angle Triangle ABC, Cosine and Tangent identity

\cos A = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\

\tan A= \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}

BUT,

\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15} ....Given

On Comparing,

Adjacent side to angle A = AB = 15

Opposite side to angle A = BC = 8

Hypotenuse = AC =17

Also Pythagoras theorem is Satisfies,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

(\textrm{Hypotenuse})^{2} = 17^{2}=289

(\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}=15^{2}+8^{2}=289

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

7 0
3 years ago
Find the derivative of the function given by f(x)=(√(x^2+1))/x
True [87]

Answer:

Find the derivative of the function given by f(x)=(√(x^2+1))/x

Step-by-step explanation:

7 0
2 years ago
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