To calculate percentage increase, use the following method:
First, Work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number
Now, divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
Also, If your answer is a negative number it is a percentage decrease.
To calculate percentage decrease, use this method:
First, Work out the difference (decrease) between the two numbers you are comparing.
Decrease = Original Number - New Number
Then, divide the decrease by the original number and multiply the answer by 100.
% Decrease = Decrease ÷ Original Number × 100
Also, If your answer is a negative number then it is a percentage increase.
<span>If you wish to calculate the percentage increase or decrease of several numbers then I recommend using the first formula. Positive values indicate a percentage increase whereas negative values indicate percentage decrease.</span>
Answer:
see explanation
Step-by-step explanation:
(a)
Since Y is the midpoint of XZ , then
XY = YZ , that is
4a - 4 = 3a + 2 ( subtract 3a from both sides )
a - 4 = 2 ( add 4 to both sides )
a = 6
(b)
XY = 4a - 4 = 4(6) - 4 = 24 - 4 = 20
XZ = 4a - 4 + 3a + 2 = 7a - 2 = 7(6) - 2 = 42 - 2 = 40
18 inches, 10 feet times 12 inches is 120 + 6 inches is 126 inches - 144 inches which is 12 inches times 12 inches, 144 - 126 inches is 18 inches.
Answer:
The degrees of freedom are given by:
And the p value taking in count that we have a bilateral test we got:
Since the p value is higher than the significance level of 0.05 we have enough evidence to conclude that the true mean is not significantly different from 430 the required value
Step-by-step explanation:
Information given
represent the mean for the weight
represent the sample standard deviation
sample size
represent the value that we want to verify
represent the significance level
t would represent the statistic
represent the p value
System of hypothesis
We are trying to proof if the filling machine works correctly at the 430 gram setting, so then the system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
In order to cehck the hypothesis the statistic for a one sample mean test is given by
(1)
Replacing the info given we have this:
The degrees of freedom are given by:
And the p value taking in count that we have a bilateral test we got:
Since the p value is higher than the significance level of 0.05 we have enough evidence to conclude that the true mean is not significantly different from 430 the required value
