What fraction is equal to 4/6
1 answer:
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Answer:
m=16
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3/4*m-3-(9)=0
Step 1: Simplify 3/4
Equation at the end of step 1: ((3/4 x m) - 3) - 9 = 0
Step2: Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
3 3 • 4
3 = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3m - (3 • 4) 3m - 12
—————4——————— = ———4————
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3•(m-16)
———————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3 • (m-16) = 0
6.2 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : m-16 = 0
Add 16 to both sides of the equation :
m = 16
Answer:
The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Step-by-step explanation:
Consider the provided information.
The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .
Thus, n = 12, σ = 5000
degrees of freedom = n-1 = 12-1 = 11
Formula to find the value of z is:
Where is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.
Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.