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m_a_m_a [10]
3 years ago
13

If you toss three coins, what are the odds in favor of getting exactly two tails and one head?

Mathematics
1 answer:
Leni [432]3 years ago
3 0
\displaystyle
|\Omega|=2^3=8\\
|A|=3\\\\
P(A)=\dfrac{3}{8}\Rightarrow \text{A}
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In a right triangle one leg measures a quarter of the other, how much do its acute angles measure? with procedure please​
KATRIN_1 [288]

Answer:

The answer to your question is 14° and 76°

Step-by-step explanation:

Data

leg 1 = x

leg 2 = x/4

angle 1 = ?

angle 2 = ?

Process

To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).

    tangent Ф = Opposite side / Adjacent side

-Substitution

    tan Ф = (x/4) / x

-Simplification

    tan Ф = x / 4x

    tan Ф = 1/4

-  Find Ф

     Ф = tan⁻¹(1/4) =  14°

- Find the other acute angle

  The sum of the internal angles in a triangles equals 180°

       Ф + Ф₁ + 90° = 180

-Solve for Ф₁

        Ф₁  = 180 - 90 - 14

-Result

        Ф₁ = 76°              

3 0
3 years ago
Which sentence describes the end behavior of the function shown? pls help!!!!
grin007 [14]

Answer:

b

Step-by-step explanation:

because that is the correct answer believe me

5 0
3 years ago
A swim team is divided into age groups: Guppies, stingrays, and sharks. There are 20 swimmers in the Stingray group. If we rando
ivanzaharov [21]

If you choose 10 swimmers and 4 are Stingrays, you can say that Stingrays make up roughly 40% of the swimmers. If 20 Stingrays make up 40% of all the swimmers, we just have to find what number 20 is 40% of. That’s easy enough by cross multiplication:

20/x = 40/100

20/x = 4/10

20/x = 2/5

x = 50.

Double check by multiplying 50 * 0.4. Since 50 * 0.4 = 20, we know we have the right answer. There are about 50 swimmers on this team.

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3 years ago
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shutvik [7]

Answer:

m\angle N = 32\degree

m\widehat {NQ}=106\degree

Step-by-step explanation:

By inscribed angle theorem:

m\angle N = \frac{1}{2} \times m\widehat {MP}

m\angle N = \frac{1}{2} \times 64\degree

m\angle N = 32\degree

Again by inscribed angle theorem:

m\angle P= \frac{1}{2} \times m\widehat {NQ}

53\degree = \frac{1}{2} \times m\widehat {NQ}

2\times 53\degree = m\widehat {NQ}

m\widehat {NQ}=106\degree

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