The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%
Given here,
Mean (μ) = 3 years 6 months
= (3×12)+6 = 42 months
Standard deviation (σ) = 9 months
We will find the z-score using the formula: z = (X - μ)/σ
Here X₁ = 2 years 3 months
= (2×12)+3 = 27 months
and X₂ = 3 years 3 months
= (3×12)+3 = 39 months
So, z (X₁ =27) = 
and z (X₂ =39) = 
According to the standard normal table,
P(z> -1.666...) = 0.0485 and P(z< -0.333...) = 0.3707
So, P(27 < X < 39)
= 0.3707 - 0.0485
= 0.3222
= 32.22 % [Multiplying by 100 for getting percentage]
So, the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%
Tetrahedron - its the only one that has a base from which all edges meet at a single point.
40% of 20 is 8
8 is the answer
Answer:
Alan = reject H0
Bill = cannot say
Step-by-step explanation:
Given that Heather is a student in a class that has been asked to conduct a hypothesis test for a population proportion.
(two tailed test at 5% significance level)
Since she rejects null hypothesis p value should have been less than 0.05
when p value <0.05, it is definitely less than 0.10
So at 1% level of significance also the null hypothesis would be rejected.
So Alan also would get the same result as to reject the H0
But about Bill since Bill uses 0.01, we cannot definitely say that p value is less than or greater than 0.01
All we know is that p is less than 0.05
Hence it is impossible to tell from the information for Bill
Answer:
-(5 n + 6)
Step-by-step explanation:
Simplify the following:
-4 (n + 1) - (n + 2)
-4 (n + 1) = -4 n - 4:
-4 n - 4 - (n + 2)
-(n + 2) = -n - 2:
-4 - 4 n + -n - 2
Grouping like terms, -4 - 4 n - 2 - n = (-4 n - n) + (-4 - 2):
(-4 n - n) + (-4 - 2)
-4 n - n = -5 n:
-5 n + (-4 - 2)
-4 - 2 = -(4 + 2):
-5 n + -(4 + 2)
4 + 2 = 6:
-5 n - 6
Factor -1 out of -5 n - 6:
Answer: -(5 n + 6)
