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Debora [2.8K]
3 years ago
15

William fills 1/3 of a water bottle in 5/9 of a minute. How many can be filled in a minute

Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0

For this case we can propose a rule of three:

\frac {1} {3}bottle ------------> \frac {5} {9}minutes

x --------------------------------------> 1 minute

Where the variable "x" represents the number of bottles that can be filled in 1 minute.

x = \frac {1 * \frac {1} {3}} {\frac {5} {9}}\\x = \frac {\frac {1} {3}} {\frac {5} {9}}\\x = \frac {9 * 1} {3 * 5}\\x = \frac {9} {15}\\x = \frac {3} {5}

Thus, William can fill \frac {3} {5} of a water bottle in 1 minute.

Answer:

William can fill \frac {3} {5} of a water bottle in 1 minute.

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The cost of a High Definition television now averages $700, but the cost is decreasing about 15% per year. In how many years wil
Roman55 [17]

Answer: 7.7 years

Step-by-step explanation:

Given

The cost of HD TV is $700 and it is decreasing at the rate of 15% per year

After one year it becomes

\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)

after 2 year it becomes

\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2

Suppose, after x years it becomes $200

\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}

Thus, it takes 7.7 years for the cost to come under $200.

3 0
2 years ago
Mrs. thomas has 18 cups of popcorn. she wanted to divide the popcorn into 2/3 cup bags.how many bags can she make ?
Usimov [2.4K]
18 ÷ (2/3) = 18 × (3/2) = 18×3/2 = 9×3 = 27
The answer is 27
3 0
3 years ago
Suppose that a recent poll found that 49​% of adults believe that the overall state of moral values is poor. Complete parts​ (a)
Lunna [17]

Answer:

The mean of X is 122.5 and the standard deviation is 7.9.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

n = 250, p = 0.49

So

E(X) = np = 250*0.49 = 122.5

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.49*0.51} = 7.9

The mean of X is 122.5 and the standard deviation is 7.9.

3 0
3 years ago
1.62 rounded to the nearest tenth
hjlf
The answer to this equation is 1.6
7 0
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Answer:

7 units

Step-by-step explanation:

7 0
2 years ago
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