X=area of the country A
y=area of the country B
we saggest this system of equations:
x+y=178,973
x=y+373
we solve this system of equations by substitution method.
(y+373)+y=178,973
2y=178,973-373
2y=178600
y=178,600/2=89,300
x=y+373
x=89300+373=89,673
answer:
area of the country A=89,673 Km²
area of the country B=89,300 Km²
To check
The combined land area of the countries A and B is =89,673 Km²+89,300 Km²=178,973 Km²
Country A (89,673 Km²) is 373 Km² more larger than country B (89,300 Km²).
89,673 Km²=89,300 Km²+373 Km²
False. THey are congruent
Answer:
(-1,2) y=2 x=-1
Step-by-step explanation:
This is a system of equations and in this you see there is 3x and negative three x. To solve this you need tp get rid of one of the variables. so we can add the two equations together to get 3y=6. This means that y=2 if we divide by 3 on both sides. Then we just plug 3 in for y and we get 3x+10=7. We subtract 10 on both sides to get 2x=-3 which means x=-1.
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:
