43/9 and 24/9
Working
First rewrite the mixed numbers into improper fraction.
This gives:
43/9 and 8/3
Then find the lcm of the denominators of the fraction i.e 9 and 3
Express the fractions as x/lcm
This gives 43/9 and 24/9
For this case we have that by definition, the slope of a line is given by:
Where:
and are two points through which the line passes.
Question 1:
According to the image, we have the following points:
Substituting we have:
Thus, the slope is:
Question 2:
According to the image, the line goes through the following points:
Substituting we have:
Thus, the slope is:
Answer:
Slope 1:
Slope 2:
You could say that, "Mr.Fuller has 2 2/3 pies left over from his party.
Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
The degrees of freedom are given by:
The p value for this case taking in count the alternative hypothesis would be:
Step-by-step explanation:
Information given
represent the sample mean for the amount spent each shopper
represent the sample standard deviation
sample size
represent the value to verify
t would represent the statistic
represent the p value f
Part a
We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic for this case would be given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case taking in count the alternative hypothesis would be:
Answer:
the home is
5.83 blocks 31° North of west of the school
Step-by-step explanation:
Resolving the displacement to vertical and horizontal axis
Let north and south represent positive and negative vertical axis, also east and west represent positive and negative horizontal axis;
Vertical axis; , 2 blocks south to visit her aunt, then 5 blocks north to go home
Ry = -2 + 5
Ry = +3
Horizontal axis; 5 blocks west to the grocery store
Rx = -5
Resultant distance = R = √(Rx^2 + Ry^2)
R =√(-5^2 + 3^2)
R = √34
R = 5.83 blocks
For the direction;
∅ = arctan(Ry/Rx) = arctan(3/5)
∅ = 31°
Therefore, the home is
5.83 blocks 31° North of west of the school.