One pipe can fill a tank in 36 minutes, a second can fill it in 9 minutes, and a third can fill it in 12 minutes. If the tank is
1 answer:
Answer:
4 1/2 minutes
Step-by-step explanation:
This is a classic work problem. These are solved by finding out how much of the work being done can get done in a single unit of time. In our case minutes.
If pipe 1 takes 36 minutes to fill the tank, then it can get 1/36 of the job done in a single minute.
If pipe 2 takes 9 minutes to fill the tank, then it can get 1/9 of the job done in a single minute.
If pipe 3 takes 12 minutes to fill the tank, then it can get 1/12 of the job done in a single minute.
The sum of all of these together will take x minutes. Our equation then is this:
We need to find the LCD of those numbers and multiply through by that LCD to get rid of the fractions, cuz who likes fractions?! The LCD is 36x; each denominator, including the x, goes into 36x evenly and that's the lowest number that each goes into evenly. Multiplying through by the LCD:
Reducing gives us the equation:
x + 4x + 3x = 36 and
8x = 36 so
x = 4.5 minutes or 4 1/2 minutes
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Answer:
Null hypothesis:
Alternative hypothesis:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
For this case the value of represent the parameter associated to the population (True average of cofee temperature)
Step-by-step explanation:
Data given and notation
represent the mean height for the sample
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean i equal to 70.2, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
For this case the value of represent the parameter associated to the population (True average of cofee temperature)
Answer:
1.04 inch
Step-by-step explanation:
Given: Old house has a basement stairways with 7.25 inch vertical riser and 7 inch horizontal treads.
Remember; horizontal treads is known as run in steps.
Now, calculating the slope of the stairways.
Formula:
Rise= 7.25 inch
Run= 7 inch.
Subtituting the value in the formula
Slope= (∵ Round to two decimal)
∴ Slope of stairways is 1.04.
The length of the hypotenuse will be equal to H=122.25 when value of x=14.
<h3>What is pythagorean theorem?</h3>Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.
It is given that:
Value of x=14
The perpendicular is =6x+5=6x14+5=89
The base is =6x=84
So by using the Pythagorean theorem:-
Hence the value of hypotenuse will be H=122.25
To know more about the Pythagorean theorem follow
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