Answer:
(5, - 2 )
Step-by-step explanation:
Given the 2 equations
9x + 5y = 35 → (1)
- 2x - 5y = 0 → (2)
Adding the 2 equations term by term will eliminate the y- term
7x = 35 ( divide both sides by 7 )
x = 5
Substitute x = 5 into either of the 2 equations for value of y
Substituting in (1) gives
9(5) + 5y = 35
45 + 5y = 35 ( subtract 45 from both sides )
5y = - 10 ( divide both sides by 5 )
y = - 2
Solution is (5, - 2 )
Answer:
the answer is 11.9 pounds
Step-by-step explanation:
Answer:
1.00434
Step-by-step explanation:
Given the following :
Given a normal distribution ;
Mean (m) = 1.0 liter
Standard deviation (σ) = 0.01 liter
Sample size (n) = 25
For 97% sample means (sm) = 0.97
Z = (m - sm) / s
Zcrit = 1 - (100% - 97%)/2
Zcrit = 1 - (0.03/2)
Zcrit = 1 - 0.015 = 0.985
The z score which corresponds to 0.985 = 2.17
Upper limit : m + z*(σ/√n)
Upper limit : 1.0 + 2.17*(0.01/√25)
Upper limit : 1. 0 + 2.17*(0.01/5)
= 1.0 + 2.17*0.002
= 1.0 + 0.00434
= 1.00434
A 80% would be your answer!
Answer:
The degrees of freedom are given by;

The significance level is 0.1 so then the critical value would be given by:

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays
Step-by-step explanation:
For this case we have the following observed values:
Mon 25 Tue 22 Wed 19 Thu 18 Fri 16 Total 100
For this case the expected values for each day are assumed:

The statsitic would be given by:

Where O represent the observed values and E the expected values
The degrees of freedom are given by;

The significance level is 0.1 so then the critical value would be given by:

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays