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Sergeeva-Olga [200]
3 years ago
15

Tonya had her birthday party at the movies.It cost $27 for pizza and $8.50 per friend for the movie tickets. How many friends di

d tonya have at her party if she spent $78
Mathematics
2 answers:
Lunna [17]3 years ago
7 0
She can bring 6 friends to the movies.
docker41 [41]3 years ago
5 0
Tonya had 6 friends, 27$ + 8.50$ x 6 = $78
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In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p
skelet666 [1.2K]

Answer:

\mathbf{P(X=5) =0.0888}    

P(x ≤ 5 ) = 0.9707

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Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

\mathtt{P(X=x) =(^{n}_{x} )   \  \pi^x \  (1-\pi)^{n-x}}

\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} )   \  \pi^x \  (1-\pi)^{n-x}}

where;

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For x = 5

The probability \mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} )   \  0.36^5 \  (1-0.36)^{8-5}}

\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} )   \  0.36^5 \  (0.64)^{3}}

\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} )  \times  \ 0.0060466 \  \times 0.262144}

\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} )  \times  \ 0.0060466 \  \times 0.262144}

\mathtt{P(X=5) =({8 \times 7 } )  \times  \ 0.0060466 \  \times 0.262144}

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\mathbf{P(X=5) =0.0888}     to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5)\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})

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The probability of P ( x ≥ 6) = 1  - P( x  ≤ 5 )

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True or false? The most common system of measurement for medication is the metric system.
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Answer:

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8/12 + 8/12

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Your Answer:
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Answer:

<em>V(t) = π(4cos πt -5sinπt) cm</em>

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<em>Hence the average velocity of the body during each time is expressed as </em>

<em>V(t) = π(4cos πt -5sinπt) cm</em>

<em></em>

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3 years ago
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