Answer:
(2, 2)
Step-by-step explanation:
In this case, elimination would be the most efficient means of solving.
Simply, add the two equations, and you will be left with only one variable to solve for. (In this case y) You are then able to take your solution and plug it into an equation and solve for x, therefore giving you their intercept.\
5x + 10y = 30
+
-5x + 15y = 20
(x's cancel) 25y = 50
25y = 50
y = 2
5x + 10(2) = 30
5x + 20 = 30
5x = 10
x = 2
The solution to this equation is (2, 2)
Answer:
Null hypothesis is 
Alternative hypothesis is 
Test Statistics z = 2.65
CONCLUSION:
Since test statistics is greater than critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.
P- value = 0.004025
Step-by-step explanation:
Given that:
Mean
= 960 hours
Sample size n = 36
Mean population
937
Standard deviation
= 52
Given that the mean time between failures is 937 hours. The objective is to determine if the mean time between failures is greater than 937 hours
Null hypothesis is 
Alternative hypothesis is 
Degree of freedom = n-1
Degree of freedom = 36-1
Degree of freedom = 35
The level of significance ∝ = 0.01
SInce the degree of freedom is 35 and the level of significance ∝ = 0.01;
from t-table t(0.99,35), the critical value = 2.438
The test statistics is :



Z = 2.65
The decision rule is to reject null hypothesis if test statistics is greater than critical value.
CONCLUSION:
Since test statistics is greater than critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.
The P-value can be calculated as follows:
find P(z < - 2.65) from normal distribution tables
= 1 - P (z ≤ 2.65)
= 1 - 0.995975 (using the Excel Function: =NORMDIST(z))
= 0.004025
A is the answer for the question
Answer: 55°
Step-by-step explanation: Let me know if you need an explanation.
Answer:
5x-8/12y
Step-by-step explanation:
x+1
3y
+
x−2
4y
−(
x+3
/6y
=
30xy2−48y2
72y3
=
30x−48/72y
=
5x−8
/12y