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
2. Some fractions could be different in denominator and numerator so you'll have to make all denominators the same in order to order them. It'll make it easier because the numerator will show which numbers are greater than the other. For example, 1/2 and 3/4, u could convert both to equivalent fractions. Make 1/2 into 2/4 and 3/4 stays the same, 3/4 is greater than 2/4 so it goes first.
3. 2/3, 7/12, 4/9, 1/2, 3/8, 5/24.
It's in this order because their equivalent fractions are,
27/72, 48/72, 36/72, 42/72, 36/72, 15/72.( that's the order they're in in the question)
Isabella drove 600m.
Mia drove 300 more than Isabella=(600+300)m
=900m.
David drove=8.5km=8500m
Therefore, Distance David drove in meters combined of both distances of Mia and Isabella =[8500-(600+900)]m
=(8500-1500)
=7000 meters or 7 km.
Read more on Brainly.in - https://brainly.in/question/2571692#readmore
Respuesta:
2x - 0.5x = 30
x = 20
Explicación paso a paso:
Llamemos "x" a la incógnita, el número desconocido.
Cuando nos referimos al doble de un número, es lo mismo que 2x.
Cuando nos referimos a la mitad de un número, es lo mismo que 0.5 x.
Consideremos que al doble de un número (2x) se le resta su mitad 0.5x) y se obtiene 30. La ecuación resultante es:
2x - 0.5x = 30
1.5x = 30
x = 30/1.5 = 20
The statement above is TRUE.
In mathematics, an expression refers to a definite combination of symbols, which are formed according to mathematical rules. Mathematical symbols can be used to represent numbers, variables, operations, functions, etc. Each mathematical expression usually have its order of operation.The parts of mathematical expression are called terms.
