Answer:
The number is 12.
Step-by-step explanation:
Given:
We need to find a number multiply to each term to get rid of fraction.
We will find LCD of denominator.
First we see the numbers at denominator
Denominators are 4,3,2
Now, we will find the LCD of 2,3, and 4
Factor of 2: 2x1
Factor of 3: 3x1
Factor of 4: 2x2x1
LCD = 2x2x3 = 12
If we multiply by 12 to each term to eliminate the fraction.
Simplest equation:
Hence, The number is 12.
Answer:
a) The calculated value t = 5.903 > 2.572 at 0.01 level of significance
Null hypothesis is rejected at 0.01 level of significance
There is a true mean value is less than 10
b) p - value 0.00001
The p - value 0.00001 < 0.01
The result is significant at p<0.01
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given mean of the population = 10
Sample size 'n'= 35
Mean of the sample x⁻ = 14.44
Standard deviation of the sample 's' = 4.45
Level of significance ∝ = 0.01
<u><em>Step(ii)</em></u>:-
<em>Null Hypothesis H₀</em> : μ >10
<em>Alternative Hypothesis</em> : H₁ : μ < 10
Test statistic
t = 5.903
Degrees of freedom = n-1 = 35-1 = 34
tabulated value t₀.₀₁,₃₄ = 2.572
The calculated value t = 5.903 > 2.572 at 0.01 level of significance
Null hypothesis is rejected at 0.01 level of significance
There is a true mean value is less than 10
<u><em>p- value</em></u> :
p - value 0.00001
The p - value 0.00001 < 0.01
The result is significant at p<0.01
A budget is a periodical compilation of the estimated revenue earned and expenses incurred within a given time period
Monthly income calculation
James monthly income is calculated as follows;
Monthly income =
The required <u>James' monthly personal budget </u>is presented as follows;
Based on the above monthly income, the monthly personal budget is found by entering the given values in a budget template as follows;
Savings $944.
Learn more about how to make a budget here: