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
Answer:
109
Step-by-step explanation:
9 + |-78| - (-22)
Apply the absolute value which states |-x| = x.
9 + 78 - (-22)
Apply the rule that states x - (-y) = x + y.
9 + 78 + 22
Add 9 and 78.
87 + 22
Add 87 and 22.
109.
5/6 - 1/5 = 19/30 = 0.633
Hope this helped you! Please mark brainliest if this helped you at all and have a wonderful rest of your day!
Answer:y=-2x-1
Step-by-step explanation:
(1,-3) and a slope of -2
Use Formula
Y= mx +b to find b. By using the slope and point given .
M is slope
Y is -3
X Is 1
Y=mx+b
-3= -2(1)+b
-3= -2+b
-3+2=b
-1=b
Now create the equation by inputting the slope they gave you which is -2 and answer we solved for b which is -1 .
Y= -2x-1
Step 1: Simplify both sides of the equation.
Step 2: Subtract 6x from both sides.
- 65x²+390x+585−6x=6x−6x
- 65x²+384x+585=0
For this equation: a=65, b=384, c=585
Step 3: Use quadratic formula with a=65, b=384, c=585
- x=−b±√b2−4ac/2a
- x=−(384)±√(384)2−4(65)(585)/
- 2(65)
- x=−384±√−4644/130
Therefore, There are no real solutions.