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tamaranim1 [39]
3 years ago
14

if a tank fills in 4hours and empties in 6hours how long does it take if the tank is emptying and filling at the same time, how

long will it take to be filled? this is all the info the problem has if you can figure it out ill give 100 points and the brainly thing:)​
Mathematics
2 answers:
shtirl [24]3 years ago
8 0

Every hour, the tank would fill 1/4 of the way, but it would be set back by 1/6 of it's original progress due to the emptying. So how much progress did it actually make in that hour? 1/4 - 1/6 = 0.08333333. It filled 0.0833...%

This would mean '1' = 100%, so we have the equation 0.0833... x ? = 1

Well, 0.083333 is equal to the fraction 1/12. Also, 0.083333 x 12 equals 1. You can take either of those two routes to find your answer, but we can tell either way that it takes 12 hours.

saul85 [17]3 years ago
7 0

Answer:

12 hours.

Step-by-step explanation:

In 1 hour if the tap filling the tank runs on its own it will fill 1/4 of the tank. But if the tap that empties the tank is run at the same time it empties 1/6 of the tank. So the net result in 1 hour is that 1/4 - 1/6 = 1/12 of the tank is filled.

In the next hour the same thing happens - another 1/12 is filled.

So the tank will be filled in 12 hours.

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According to a​ survey, 67​% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed
Mrac [35]

Answer:

a) P(X=41)= 0.0086 = 0.86%

b) P(36≤X≤38)== 0.1215 = 12.15%

c) would be unusual that fewer that 20 murders were cleared because P(X≤20) = 0.000081 =0.0081%

Step-by-step explanation:

if the random variable X= number of cleared murders , then X follows a binomial distribution:

P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^(n-x)

where P(X=x)= probability of x cleared murders, n= number of murders selected=50 , p= probability for a murder to be cleared (67%)

therefore

a) P(X=41)=50!/[(50-41)!*41!]*0.67^41*0.33^(50-41)= 0.0086

b) P(36≤X≤38)= P(X≤38) - P(X≤36) = 0.9371- 0.8156 = 0.1215

c) P(X≤20) = 0.000081

therefore would be unusual that fewer that 20 murders were cleared

5 0
3 years ago
Which of the following statement is NOT a reasonable statement about geometry?
bixtya [17]

Answer:

D. You need to take geometry so you will learn how to drive farther and faster.

Step-by-step explanation:

Geometry can help you earn credit and teach you real-world skills that can even be applied to a future career of your choice!

4 0
3 years ago
What is the smallest degree of rotation that will map a regular 18 gon on to itself
natali 33 [55]

Answer:

  20°

Step-by-step explanation:

Rotating the figure through an angle equal to the central angle of one "sector" will do the required mapping. That is 360°/18 = 20°.

5 0
3 years ago
The length of the segment indicated round your answer to the nearest 10th if nessesary
exis [7]
Pythagorean Theorem
x^2 = 15.7^2 -7.8^2
x^2 = <span> <span> <span> 185.65 </span> </span> </span>
x = <span> <span> <span> 13.6253440324 </span> </span> </span>
Answer is C

3 0
3 years ago
In 2005, the price of a tv was $1599.00. In 2002, the price of the same type of tv has dropped to $399.00 Calculate the percent
xxTIMURxx [149]
<span>In 2005, the price of a TV was $1599.00.
In 2002, the price of the same type of tv has dropped to $399.00
Let’s Calculate the percent of decrease.
First subtract 1599 dollars with 399 dollars to know how much did the price of TV decreased.
=> 1 599 – 399 = 1 200 is the amount the decreased on TV’s price
=> 1 200 / 1599 = 0.75
=> 0.75 * 100% = 75%
Thus, the price of TV had been decreased to 25%, 75% of it were decreased</span>



3 0
3 years ago
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