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Rus_ich [418]
2 years ago
5

A magician is filling his underwater escape tank with water. It is being filled by two water hoses. Hose 1 can fill the tank in

4 hours, while both hoses together can fill the tank in 2 hours. How long does it take to fill the underwater escape tank tank using only hose 2? type just the number no words
Mathematics
1 answer:
Westkost [7]2 years ago
4 0

Answer:

4 hours

Step-by-step explanation:

You might be interested in
53​% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the
faltersainse [42]

Answer:

a

   P(X = 5) = 0.2423

b

    P( X \ge  6 )=  0.4516

c

   P( X <  4 )=  0.12694

Step-by-step explanation:

From the question we are told that

   The population proportion is   p = 0.53

    The sample size is  n = 10

Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators        

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly​ five is mathematically represented as

     P(X = 5) =  ^{10}C_5 *  0.53^5 *  (1- 0.53)^{10-5}

=>  P(X = 5) =  252 * 0.04182 *  0.023

=>  P(X = 5) = 0.2423

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is  at least​ six is mathematically represented as

  P( X \ge  6 )=  P( X  = 6) +  P( X  = 7) +  P( X  = 8) +  P( X  = 9) +  P( X  = 10)

=> P( X \ge  6 )=  [^{10}C_6 *  [0.53]^6 *  (1- 0.53)^{10-6}] +  [^{10}C_7 *  [0.53]^7 *  (1- 0.53)^{10-7}] +  [^{10}C_8 *  [0.53]^8 *  (1- 0.53)^{10-8}] +  [^{10}C_9 *  [0.53]^9 *  (1- 0.53)^{10-9}] + [^{10}C_{10} *  [0.53]^{10} *  (1- 0.53)^{10-10}]

=> P( X \ge  6 )=  [0.227] +  [0.1464] +  [0.0619] +  [0.0155] + [0.00082]

=> P( X \ge  6 )=  0.4516

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is  less than four is mathematically represented as

    P( X <  4 )=  P( X  = 3) +  P( X  = 2) +  P( X  = 1) +  P( X  = 0)

=>  P( X <  4 )=  [^{10}C_3 *  0.53^3 *  (1- 0.53)^{10-3}] +  [^{10}C_2 *  0.53^2 *  (1- 0.53)^{10-2}] +  [^{10}C_1 *  0.53^1 *  (1- 0.53)^{10-1}] +  [^{10}C_0 *  0.53^0 *  (1- 0.53)^{10-0}]

=>  P( X <  4 )=  0.09051  +  0.03 +  0.0059 +  0.000526

=>  P( X <  4 )=  0.12694

5 0
2 years ago
What is one way you can calculate 0.25 times 0.044 as a decimal?
Rudik [331]

Answer:

0.011

Step-by-step explanation:

let's see so first

first you line the numbers on the right (DO NOT ALINE DECIMAL POINTS)

second, starting from on the right multiply each digit in the top number by each digit in the bottom number just as whole numbers .

after add the products

7 0
2 years ago
What is the solution to this system of equations?<br><br><br>4x + 5y = 7<br><br><br>3x – 2y = –12
oksano4ka [1.4K]

Answer:

x = -2 and y = 3

Step-by-step explanation:

It is given that,

4x + 5y = 7    -----(1)

3x – 2y = –12   ----(2)

<u>To find the value of x and y</u>

eq(1) * 3 ⇒

12x + 15y = 21   ----(3)

eq(2) * 4 ⇒

12x - 8y = -48  ---(4)

eq(3) - eq(4) ⇒

12x + 15y = 21   ----(3)

<u>12x - 8y = -48 </u> ---(4)

 0 + 23y = 69

y = 69/23 = 3

Substitute the value of y in eq(1)

4x + 5y = 7    ----(1)

4x + 5*3 = 7

4x = 7 - 15 = -8

x = -8/4 = -2

Therefore x = -2 and y = 3

5 0
2 years ago
Javier monthly net income is $1,500. He requests that his bank deposit 1/5 of his monthly earnings into his savings account. how
Harman [31]
1500 * 1/5
1500 * 0.2 = 300
300 * 12 = 3600
Javier contributes $3,600 a year to his savings.
5 0
2 years ago
Rewrite the following quadratic functions in intercept or factored form. Show your work.
Dmitry [639]

<u>Answer: </u>

f(x) = 3(x+2)(x-2)

<u>Step-by-step explanation: </u>

We are given the following the quadratic function and we are to rewrite it in intercept or factored form:

f(x) = 3x^2 - 12

We can factorize the given function so taking the common factors out of it to get:

f(x)=3x^2 - 12

f(x) = 3 (x^2 - 4)

The term (x^2-4) is in the form a^2-b^2 so it can further be factorized to give:

f(x) = 3 (x+2)(x-2)

Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).


7 0
2 years ago
Read 2 more answers
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