Answer:
x > 4
Step-by-step explanation:
27 < 5 ( x ) + 7
27 < 5x + 7
20 < 5x
4 < x
x > 4
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.
Answer:
Rational
Step-by-step explanation:
5.74 is the same as 5.74 over 1. In other words, 5.74 can be written with a numerator and denominator, like this:
5.74 = 5.74/1
5.74 x 100/ 1 x 100
You can multiply the numerator and denominator of any fraction by the same number and keep the value of the fraction the same. Here we will multiply the numerator and denominator by 100 to get rid of the decimal point.
5.74 × 100/ 1 × 100
When we calculate the numerator and the denominator above, we get this fraction:
574/100
The fraction above is the same as 5.74. Furthermore, the numerator and the denominator of the fraction above are integers. Therefore, we can conclude that the answer to "Is 5.74 a rational number?" is yes.
1/6 ma^2
You can solve this by considering moment of inertia of a square plate along the central axis and using the perpendicular axis theorem.
Answer:
2563 (square root)in^2
Step-by-step explanation:
i took the test
