Use the euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value o
1 answer:
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Answer:
a) H0:
H1:
b)
And the critical values with on each tail are:
c)
d) For this case since the critical value is not higher or lower than the critical values we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not significantly different from 1.34
Step-by-step explanation:
Information provided
n = 10 sample size
s= 1.186 the sample deviation
the value that we want to test
represent the p value for the test
t represent the statistic (chi square test)
significance level
Part a
On this case we want to test if the true deviation is 1,34 or no, so the system of hypothesis are:
H0:
H1:
The statistic is given by:
Part b
The degrees of freedom are given by:
And the critical values with on each tail are:
Part c
Replacing the info we got:
Part d
For this case since the critical value is not higher or lower than the critical values we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not significantly different from 1.34
Remember that the formula for the circumference, , of a circle is:
In this case, we are not given the diameter. However, remember that the diameter is equivalent to two times the radius of a circle. Thus,
,
and we can say the circumference of our circle is:
The circumference of our circle is 50.24 units.
<em>Also, a little side note not relating to the question:</em>
<em>Remember that is spelled as "pi" not "pie." Pie is a dessert, while pi is a mathematical constant.</em>
Given the two options above, in order to come up with the best plan we have to calculate the future value of money in each plan.
compound interest is given by:
Option 1
p=$500
r=2%=0.02
t=1 year
Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:
=$509.09
Comparing the two plans above, option 1 is the best.
b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510.
compound interest is given by:
Option 1
p=$500
r=2%=0.02
t=1 year
Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:
=$509.09
Comparing the two plans above, option 1 is the best.
b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510.