Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ ≥ 50000
For the alternative hypothesis,
µ < 50000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = lifetime of the tyres
µ = mean lifetime
σ = standard deviation
n = number of samples
From the information given,
µ = 50000 miles
x = 45800 miles
σ = 8000
n = 29
z = (50000 - 45800)/(8000/√29) = - 2.83
Looking at the normal distribution table, the probability corresponding to the z score is 0.9977
Since alpha, 0.05 < than the p value, 0.9977, then we would accept the null hypothesis. Therefore, At a 5% level of significance, the data is not highly consistent with the claim.
10
Step-by-step explanation:
6=2(-2)x5+4(-2)×2
6=-4×5-8×2
6=-20-8×2
6=-20-16
6=-36
Rational numbers can be written as a fraction
can be terminating or repeating decimal (terminating means a decimal that stops ex 5.873)
so 50.1 repeating is a rational number
1/6! Any fraction that represents less than a half of a whole is less than 1/2. You could also convert them to the same denominator and see the difference. Make sure whatever you do to the first fraction, you do to the other!
I don't see what we need to multiply but here is an example: the numbers of the equation that I'm doing is 12 times 13 and this is how I do it .
(1)(2) Step 1: multiply 3 times 2 then when you get the
x 1 (3) answer you would need to multiply then 2 times 3.
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(36) ( when multiplying 1 times 3 and then multiply 2 times 3)
Step 3: know that in the third step you would need to multiply 1 times 2 then 1 times 1.
(1)(2)
x(1) 3
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36
+ 120 (when multiplying 1 times 2 then 1 times 1 but I added a zero )
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156 ( I add them all up and that's the answer )
If need any questions just message me and I will answer back .