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9966 [12]
3 years ago
9

The ratio of the weight of a book to the weight of a mug is 7:5. What fraction of the total weight of the book and mug is the we

ight of the book?
Mathematics
1 answer:
sergeinik [125]3 years ago
7 0

Answer:

  7/12

Step-by-step explanation:

You can pretend the given ratio units are the actual weights. Then the desired ratio is ...

  book : mug = 7 : 5

  book : (book +mug) = 7 : (7 +5) = 7 : 12

The weight of the book is 7/12 of the total weight.

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A correction of "six less than twice the value of x" is
nordsb [41]

Answer:

2x-6

I don't know what you mean by correction, but that's in expression form.

8 0
3 years ago
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

P ( x ≥ 6) = 0.0293

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;

n = 8 and π = 0.36

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}

\mathtt{P(X=5) =0.0887645}

\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})

{P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times  (0.36)^0  \times  (1-0.36)^8  \ )  +  \dfrac{8!}{1!(7!)} \times  (0.36)^1  \times  (1-0.36)^7  \ +\dfrac{8!}{2!(6!)} \times  (0.36)^2  \times  (1-0.36)^6  \ +  \dfrac{8!}{3!(5!)} \times  (0.36)^3  \times  (1-0.36)^5 +  \dfrac{8!}{4!(4!)} \times  (0.36)^4  \times  (1-0.36)^4  \  +  \dfrac{8!}{5!(3!)} \times  (0.36)^5  \times  (1-0.36)^3  \ )

P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

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

P ( x ≥ 6) = 1  - 0.9707

P ( x ≥ 6) = 0.0293

4 0
3 years ago
At a table Tennis tournament, two games went on for a total of 32 minutes long. One game took 12 minutes longer than the other.
Kaylis [27]
The answer is 44 minutes
5 0
3 years ago
How many 2-liter bottles of soda will you need to fill ten 500 milliliter containers?
Eva8 [605]

Answer:

2.5 bottles

Step-by-step explanation:

10 * 500 ml = 5000 ml

5000 ml = 5 l

5/2 = 2.5

7 0
3 years ago
Please answers this!!
vlada-n [284]

Answer:

it is C. i think but idk sry:(

Step-by-step explanation:

7 0
3 years ago
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